From f15f4b231668970c827964601b77def64b392af0 Mon Sep 17 00:00:00 2001 From: Janosh Riebesell Date: Wed, 1 Nov 2023 16:06:22 -0700 Subject: [PATCH] fix typo orthor(''->h)ombic --- pymatgen/analysis/gb/grain.py | 21 +++++++++++---------- pymatgen/symmetry/symm_ops.json | 2 +- pymatgen/symmetry/symm_ops.yaml | 2 +- tests/analysis/gb/test_grain.py | 4 ++-- tests/files/KPOINTS.band | 4 ++-- 5 files changed, 17 insertions(+), 16 deletions(-) diff --git a/pymatgen/analysis/gb/grain.py b/pymatgen/analysis/gb/grain.py index e1509982405..25e287ba22b 100644 --- a/pymatgen/analysis/gb/grain.py +++ b/pymatgen/analysis/gb/grain.py @@ -333,22 +333,23 @@ class GrainBoundaryGenerator: Users can use structure matcher in pymatgen to get rid of the redundant structures. """ - def __init__(self, initial_structure, symprec: float = 0.1, angle_tolerance=1): + def __init__(self, initial_structure: Structure, symprec: float = 0.1, angle_tolerance: float = 1) -> None: """ - initial_structure (Structure): Initial input structure. It can - be conventional or primitive cell (primitive cell works for bcc and fcc). - For fcc and bcc, using conventional cell can lead to a non-primitive - grain boundary structure. - This code supplies Cubic, Tetragonal, Orthorhombic, Rhombohedral, and - Hexagonal systems. - symprec (float): Tolerance for symmetry finding. Defaults to 0.1 (the value used + Args: + initial_structure (Structure): Initial input structure. It can + be conventional or primitive cell (primitive cell works for bcc and fcc). + For fcc and bcc, using conventional cell can lead to a non-primitive + grain boundary structure. + This code supplies Cubic, Tetragonal, Orthorhombic, Rhombohedral, and + Hexagonal systems. + symprec (float): Tolerance for symmetry finding. Defaults to 0.1 (the value used in Materials Project), which is for structures with slight deviations from their proper atomic positions (e.g., structures relaxed with electronic structure codes). A smaller value of 0.01 is often used for properly refined structures with atoms in the proper symmetry coordinates. User should make sure the symmetry is what you want. - angle_tolerance (float): Angle tolerance for symmetry finding. + angle_tolerance (float): Angle tolerance for symmetry finding. """ analyzer = SpacegroupAnalyzer(initial_structure, symprec, angle_tolerance) self.lat_type = analyzer.get_lattice_type()[0] @@ -378,7 +379,7 @@ def __init__(self, initial_structure, symprec: float = 0.1, angle_tolerance=1): # need to use primitive cell for rhombohedra initial_structure = analyzer.get_primitive_standard_structure() elif self.lat_type == "o": - # need to use the conventional cell for orthorombic + # need to use the conventional cell for orthorhombic initial_structure = analyzer.get_conventional_standard_structure() self.initial_structure = initial_structure diff --git a/pymatgen/symmetry/symm_ops.json b/pymatgen/symmetry/symm_ops.json index d843c9f0cdb..13927a5a1bd 100644 --- a/pymatgen/symmetry/symm_ops.json +++ b/pymatgen/symmetry/symm_ops.json @@ -1 +1 @@ -[{"symops": ["x,y,z"], "universal_h_m": "P 1", "number": 1, "schoenflies": "C1^1", "hall": " P 1", "hermann_mauguin": "P 1", "crystal_class": "triclinic", "ncsym": ["x,y,z"]}, {"symops": ["x,y,z", "-x,-y,-z"], "universal_h_m": "P -1", "number": 2, "schoenflies": "Ci^1", "hall": "-P 1", "hermann_mauguin": "P -1", "crystal_class": "triclinic", "ncsym": ["x,y,z", "-x,-y,-z"]}, {"symops": ["x,y,z", "-x,y,-z"], "universal_h_m": "P 1 2 1", "number": 3, "schoenflies": "C2^1", "hall": " P 2y", "hermann_mauguin": "P 1 2 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z"], "universal_h_m": "P 1 1 2", "number": 3, "schoenflies": "C2^1", "hall": " P 2", "hermann_mauguin": "P 1 1 2", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z"]}, {"symops": ["x,y,z", "x,-y,-z"], "universal_h_m": "P 2 1 1", "number": 3, "schoenflies": "C2^1", "hall": " P 2x", "hermann_mauguin": "P 2 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z"]}, {"symops": ["x,y,z", "-x,y+1/2,-z"], "universal_h_m": "P 1 21 1", "number": 4, "schoenflies": "C2^2", "hall": " P 2yb", "hermann_mauguin": "P 1 21 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y,z+1/2"], "universal_h_m": "P 1 1 21", "number": 4, "schoenflies": "C2^2", "hall": " P 2c", "hermann_mauguin": "P 1 1 21", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,-y,-z"], "universal_h_m": "P 21 1 1", "number": 4, "schoenflies": "C2^2", "hall": " P 2xa", "hermann_mauguin": "P 21 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,-z"]}, {"symops": ["x,y,z", "-x,y,-z", "x+1/2,y+1/2,z", "-x+1/2,y+1/2,-z"], "universal_h_m": "C 1 2 1", "number": 5, "schoenflies": "C2^3", "hall": " C 2y", "hermann_mauguin": "C 1 2 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,y,-z", "x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2"], "universal_h_m": "A 1 2 1", "number": 5, "schoenflies": "C2^3", "hall": " A 2y", "hermann_mauguin": "A 1 2 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,y,-z", "x+1/2,y+1/2,z+1/2", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "I 1 2 1", "number": 5, "schoenflies": "C2^3", "hall": " I 2y", "hermann_mauguin": "I 1 2 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2"], "universal_h_m": "A 1 1 2", "number": 5, "schoenflies": "C2^3", "hall": " A 2", "hermann_mauguin": "A 1 1 2", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2"], "universal_h_m": "B 1 1 2", "number": 5, "schoenflies": "C2^3", "hall": " B 2", "hermann_mauguin": "B 1 1 2", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y+1/2,z+1/2"], "universal_h_m": "I 1 1 2", "number": 5, "schoenflies": "C2^3", "hall": " I 2", "hermann_mauguin": "I 1 1 2", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z"]}, {"symops": ["x,y,z", "x,-y,-z", "x+1/2,y,z+1/2", "x+1/2,-y,-z+1/2"], "universal_h_m": "B 2 1 1", "number": 5, "schoenflies": "C2^3", "hall": " B 2x", "hermann_mauguin": "B 2 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z"]}, {"symops": ["x,y,z", "x,-y,-z", "x+1/2,y+1/2,z", "x+1/2,-y+1/2,-z"], "universal_h_m": "C 2 1 1", "number": 5, "schoenflies": "C2^3", "hall": " C 2x", "hermann_mauguin": "C 2 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z"]}, {"symops": ["x,y,z", "x,-y,-z", "x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,-z+1/2"], "universal_h_m": "I 2 1 1", "number": 5, "schoenflies": "C2^3", "hall": " I 2x", "hermann_mauguin": "I 2 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z"]}, {"symops": ["x,y,z", "x,-y,z"], "universal_h_m": "P 1 m 1", "number": 6, "schoenflies": "Cs^1", "hall": " P -2y", "hermann_mauguin": "P 1 m 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z"], "universal_h_m": "P 1 1 m", "number": 6, "schoenflies": "Cs^1", "hall": " P -2", "hermann_mauguin": "P 1 1 m", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,y,-z"]}, {"symops": ["x,y,z", "-x,y,z"], "universal_h_m": "P m 1 1", "number": 6, "schoenflies": "Cs^1", "hall": " P -2x", "hermann_mauguin": "P m 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,z"]}, {"symops": ["x,y,z", "x,-y,z+1/2"], "universal_h_m": "P 1 c 1", "number": 7, "schoenflies": "Cs^2", "hall": " P -2yc", "hermann_mauguin": "P 1 c 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,-y,z+1/2"], "universal_h_m": "P 1 n 1", "number": 7, "schoenflies": "Cs^2", "hall": " P -2yac", "hermann_mauguin": "P 1 n 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,-y,z"], "universal_h_m": "P 1 a 1", "number": 7, "schoenflies": "Cs^2", "hall": " P -2ya", "hermann_mauguin": "P 1 a 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x+1/2,y,-z"], "universal_h_m": "P 1 1 a", "number": 7, "schoenflies": "Cs^2", "hall": " P -2a", "hermann_mauguin": "P 1 1 a", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,y,-z"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z"], "universal_h_m": "P 1 1 n", "number": 7, "schoenflies": "Cs^2", "hall": " P -2ab", "hermann_mauguin": "P 1 1 n", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "x,y+1/2,-z"], "universal_h_m": "P 1 1 b", "number": 7, "schoenflies": "Cs^2", "hall": " P -2b", "hermann_mauguin": "P 1 1 b", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,y+1/2,z"], "universal_h_m": "P b 1 1", "number": 7, "schoenflies": "Cs^2", "hall": " P -2xb", "hermann_mauguin": "P b 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,z"]}, {"symops": ["x,y,z", "-x,y+1/2,z+1/2"], "universal_h_m": "P n 1 1", "number": 7, "schoenflies": "Cs^2", "hall": " P -2xbc", "hermann_mauguin": "P n 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,z+1/2"]}, {"symops": ["x,y,z", "-x,y,z+1/2"], "universal_h_m": "P c 1 1", "number": 7, "schoenflies": "Cs^2", "hall": " P -2xc", "hermann_mauguin": "P c 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,z+1/2"]}, {"symops": ["x,y,z", "x,-y,z", "x+1/2,y+1/2,z", "x+1/2,-y+1/2,z"], "universal_h_m": "C 1 m 1", "number": 8, "schoenflies": "Cs^3", "hall": " C -2y", "hermann_mauguin": "C 1 m 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,-y,z", "x,y+1/2,z+1/2", "x,-y+1/2,z+1/2"], "universal_h_m": "A 1 m 1", "number": 8, "schoenflies": "Cs^3", "hall": " A -2y", "hermann_mauguin": "A 1 m 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,-y,z", "x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "I 1 m 1", "number": 8, "schoenflies": "Cs^3", "hall": " I -2y", "hermann_mauguin": "I 1 m 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x,y+1/2,z+1/2", "x,y+1/2,-z+1/2"], "universal_h_m": "A 1 1 m", "number": 8, "schoenflies": "Cs^3", "hall": " A -2", "hermann_mauguin": "A 1 1 m", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,y,-z"]}, {"symops": ["x,y,z", "x,y,-z", "x+1/2,y,z+1/2", "x+1/2,y,-z+1/2"], "universal_h_m": "B 1 1 m", "number": 8, "schoenflies": "Cs^3", "hall": " B -2", "hermann_mauguin": "B 1 1 m", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,y,-z"]}, {"symops": ["x,y,z", "x,y,-z", "x+1/2,y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2"], "universal_h_m": "I 1 1 m", "number": 8, "schoenflies": "Cs^3", "hall": " I -2", "hermann_mauguin": "I 1 1 m", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,y,-z"]}, {"symops": ["x,y,z", "-x,y,z", "x+1/2,y,z+1/2", "-x+1/2,y,z+1/2"], "universal_h_m": "B m 1 1", "number": 8, "schoenflies": "Cs^3", "hall": " B -2x", "hermann_mauguin": "B m 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,z"]}, {"symops": ["x,y,z", "-x,y,z", "x+1/2,y+1/2,z", "-x+1/2,y+1/2,z"], "universal_h_m": "C m 1 1", "number": 8, "schoenflies": "Cs^3", "hall": " C -2x", "hermann_mauguin": "C m 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,z"]}, {"symops": ["x,y,z", "-x,y,z", "x+1/2,y+1/2,z+1/2", "-x+1/2,y+1/2,z+1/2"], "universal_h_m": "I m 1 1", "number": 8, "schoenflies": "Cs^3", "hall": " I -2x", "hermann_mauguin": "I m 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,z"]}, {"symops": ["x,y,z", "x,-y,z+1/2", "x+1/2,y+1/2,z", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "C 1 c 1", "number": 9, "schoenflies": "Cs^4", "hall": " C -2yc", "hermann_mauguin": "C 1 c 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,-y+1/2,z", "x,y+1/2,z+1/2", "x+1/2,-y+1,z+1/2"], "universal_h_m": "A 1 n 1", "number": 9, "schoenflies": "Cs^4", "hall": " A -2yab", "hermann_mauguin": "A 1 n 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y+1/2,z"]}, {"symops": ["x,y,z", "x+1/2,-y,z", "x+1/2,y+1/2,z+1/2", "x+1,-y+1/2,z+1/2"], "universal_h_m": "I 1 a 1", "number": 9, "schoenflies": "Cs^4", "hall": " I -2ya", "hermann_mauguin": "I 1 a 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x+1/2,-y,z", "x,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "A 1 a 1", "number": 9, "schoenflies": "Cs^4", "hall": " A -2ya", "hermann_mauguin": "A 1 a 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x+1/2,-y,z+1/2", "x+1/2,y+1/2,z", "x+1,-y+1/2,z+1/2"], "universal_h_m": "C 1 n 1", "number": 9, "schoenflies": "Cs^4", "hall": " C -2yac", "hermann_mauguin": "C 1 n 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "x,-y,z+1/2", "x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1"], "universal_h_m": "I 1 c 1", "number": 9, "schoenflies": "Cs^4", "hall": " I -2yc", "hermann_mauguin": "I 1 c 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x,y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2"], "universal_h_m": "A 1 1 a", "number": 9, "schoenflies": "Cs^4", "hall": " A -2a", "hermann_mauguin": "A 1 1 a", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,y,-z"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z", "x+1/2,y,z+1/2", "x+1,y+1/2,-z+1/2"], "universal_h_m": "B 1 1 n", "number": 9, "schoenflies": "Cs^4", "hall": " B -2ab", "hermann_mauguin": "B 1 1 n", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "x+1/2,y+1/2,z+1/2", "x+1/2,y+1,-z+1/2"], "universal_h_m": "I 1 1 b", "number": 9, "schoenflies": "Cs^4", "hall": " I -2b", "hermann_mauguin": "I 1 1 b", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,y+1/2,-z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "x+1/2,y,z+1/2", "x+1/2,y+1/2,-z+1/2"], "universal_h_m": "B 1 1 b", "number": 9, "schoenflies": "Cs^4", "hall": " B -2b", "hermann_mauguin": "B 1 1 b", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,y+1/2,-z"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z", "x,y+1/2,z+1/2", "x+1/2,y+1,-z+1/2"], "universal_h_m": "A 1 1 n", "number": 9, "schoenflies": "Cs^4", "hall": " A -2ab", "hermann_mauguin": "A 1 1 n", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x+1/2,y+1/2,z+1/2", "x+1,y+1/2,-z+1/2"], "universal_h_m": "I 1 1 a", "number": 9, "schoenflies": "Cs^4", "hall": " I -2a", "hermann_mauguin": "I 1 1 a", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,y,-z"]}, {"symops": ["x,y,z", "-x,y+1/2,z", "x+1/2,y,z+1/2", "-x+1/2,y+1/2,z+1/2"], "universal_h_m": "B b 1 1", "number": 9, "schoenflies": "Cs^4", "hall": " B -2xb", "hermann_mauguin": "B b 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,z"]}, {"symops": ["x,y,z", "-x+1/2,y,z+1/2", "x+1/2,y+1/2,z", "-x+1,y+1/2,z+1/2"], "universal_h_m": "C n 1 1", "number": 9, "schoenflies": "Cs^4", "hall": " C -2xac", "hermann_mauguin": "C n 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y,z+1/2"]}, {"symops": ["x,y,z", "-x,y,z+1/2", "x+1/2,y+1/2,z+1/2", "-x+1/2,y+1/2,z+1"], "universal_h_m": "I c 1 1", "number": 9, "schoenflies": "Cs^4", "hall": " I -2xc", "hermann_mauguin": "I c 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,z+1/2"]}, {"symops": ["x,y,z", "-x,y,z+1/2", "x+1/2,y+1/2,z", "-x+1/2,y+1/2,z+1/2"], "universal_h_m": "C c 1 1", "number": 9, "schoenflies": "Cs^4", "hall": " C -2xc", "hermann_mauguin": "C c 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,y+1/2,z", "x+1/2,y,z+1/2", "-x+1,y+1/2,z+1/2"], "universal_h_m": "B n 1 1", "number": 9, "schoenflies": "Cs^4", "hall": " B -2xab", "hermann_mauguin": "B n 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y+1/2,z"]}, {"symops": ["x,y,z", "-x,y+1/2,z", "x+1/2,y+1/2,z+1/2", "-x+1/2,y+1,z+1/2"], "universal_h_m": "I b 1 1", "number": 9, "schoenflies": "Cs^4", "hall": " I -2xb", "hermann_mauguin": "I b 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,z"]}, {"symops": ["x,y,z", "-x,y,-z", "-x,-y,-z", "x,-y,z"], "universal_h_m": "P 1 2/m 1", "number": 10, "schoenflies": "C2h^1", "hall": "-P 2y", "hermann_mauguin": "P 1 2/m 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z", "-x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z"], "universal_h_m": "P 1 1 2/m", "number": 10, "schoenflies": "C2h^1", "hall": "-P 2", "hermann_mauguin": "P 1 1 2/m", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z"]}, {"symops": ["x,y,z", "x,-y,-z", "-x,-y,-z", "-x,y,z"], "universal_h_m": "P 2/m 1 1", "number": 10, "schoenflies": "C2h^1", "hall": "-P 2x", "hermann_mauguin": "P 2/m 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z", "-x,-y,-z", "-x,y,z"]}, {"symops": ["x,y,z", "-x,y+1/2,-z", "-x,-y,-z", "x,-y-1/2,z"], "universal_h_m": "P 1 21/m 1", "number": 11, "schoenflies": 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"-x,y,-z", "-x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "-x,y,-z", "-x,-y,-z", "x,-y,z", "x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2", "-x,-y+1/2,-z+1/2", "x,-y+1/2,z+1/2"], "universal_h_m": "A 1 2/m 1", "number": 12, "schoenflies": "C2h^3", "hall": "-A 2y", "hermann_mauguin": "A 1 2/m 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z", "-x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "-x,y,-z", "-x,-y,-z", "x,-y,z", "x+1/2,y+1/2,z+1/2", "-x+1/2,y+1/2,-z+1/2", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "I 1 2/m 1", "number": 12, "schoenflies": "C2h^3", "hall": "-I 2y", "hermann_mauguin": "I 1 2/m 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z", "-x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "-x,-y+1/2,-z+1/2", "x,y+1/2,-z+1/2"], "universal_h_m": "A 1 1 2/m", "number": 12, "schoenflies": "C2h^3", "hall": "-A 2", "hermann_mauguin": "A 1 1 2/m", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "-x+1/2,-y,-z+1/2", "x+1/2,y,-z+1/2"], "universal_h_m": "B 1 1 2/m", "number": 12, "schoenflies": "C2h^3", "hall": "-B 2", "hermann_mauguin": "B 1 1 2/m", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y+1/2,z+1/2", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2"], "universal_h_m": "I 1 1 2/m", "number": 12, "schoenflies": "C2h^3", "hall": "-I 2", "hermann_mauguin": "I 1 1 2/m", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z"]}, {"symops": ["x,y,z", "x,-y,-z", "-x,-y,-z", "-x,y,z", "x+1/2,y,z+1/2", "x+1/2,-y,-z+1/2", "-x+1/2,-y,-z+1/2", "-x+1/2,y,z+1/2"], "universal_h_m": "B 2/m 1 1", "number": 12, "schoenflies": "C2h^3", "hall": "-B 2x", "hermann_mauguin": "B 2/m 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z", "-x,-y,-z", "-x,y,z"]}, {"symops": ["x,y,z", "x,-y,-z", "-x,-y,-z", "-x,y,z", "x+1/2,y+1/2,z", "x+1/2,-y+1/2,-z", "-x+1/2,-y+1/2,-z", "-x+1/2,y+1/2,z"], "universal_h_m": "C 2/m 1 1", "number": 12, "schoenflies": "C2h^3", "hall": "-C 2x", "hermann_mauguin": "C 2/m 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z", "-x,-y,-z", "-x,y,z"]}, {"symops": ["x,y,z", "x,-y,-z", "-x,-y,-z", "-x,y,z", "x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,-z+1/2", "-x+1/2,-y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2"], "universal_h_m": "I 2/m 1 1", "number": 12, "schoenflies": "C2h^3", "hall": "-I 2x", "hermann_mauguin": "I 2/m 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z", "-x,-y,-z", "-x,y,z"]}, {"symops": ["x,y,z", "-x,y,-z+1/2", "-x,-y,-z", "x,-y,z-1/2"], "universal_h_m": "P 1 2/c 1", "number": 13, "schoenflies": "C2h^4", "hall": "-P 2yc", "hermann_mauguin": "P 1 2/c 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z+1/2", "-x,-y,-z", "x,-y,z-1/2"]}, {"symops": ["x,y,z", "-x+1/2,y,-z+1/2", "-x,-y,-z", "x-1/2,-y,z-1/2"], "universal_h_m": "P 1 2/n 1", "number": 13, "schoenflies": "C2h^4", "hall": "-P 2yac", "hermann_mauguin": "P 1 2/n 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y,-z+1/2", "-x,-y,-z", "x-1/2,-y,z-1/2"]}, {"symops": ["x,y,z", "-x+1/2,y,-z", "-x,-y,-z", "x-1/2,-y,z"], "universal_h_m": "P 1 2/a 1", "number": 13, "schoenflies": "C2h^4", "hall": "-P 2ya", "hermann_mauguin": "P 1 2/a 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y,-z", "-x,-y,-z", "x-1/2,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,-y,z", "-x,-y,-z", "x-1/2,y,-z"], "universal_h_m": "P 1 1 2/a", "number": 13, "schoenflies": "C2h^4", "hall": "-P 2a", "hermann_mauguin": "P 1 1 2/a", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,-y,z", "-x,-y,-z", "x-1/2,y,-z"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "-x,-y,-z", "x-1/2,y-1/2,-z"], "universal_h_m": "P 1 1 2/n", "number": 13, "schoenflies": "C2h^4", "hall": "-P 2ab", "hermann_mauguin": "P 1 1 2/n", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,-y+1/2,z", "-x,-y,-z", "x-1/2,y-1/2,-z"]}, {"symops": ["x,y,z", "-x,-y+1/2,z", "-x,-y,-z", "x,y-1/2,-z"], "universal_h_m": "P 1 1 2/b", "number": 13, "schoenflies": "C2h^4", "hall": "-P 2b", "hermann_mauguin": "P 1 1 2/b", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y+1/2,z", "-x,-y,-z", "x,y-1/2,-z"]}, {"symops": ["x,y,z", "x,-y+1/2,-z", "-x,-y,-z", "-x,y-1/2,z"], "universal_h_m": "P 2/b 1 1", "number": 13, "schoenflies": "C2h^4", "hall": "-P 2xb", "hermann_mauguin": "P 2/b 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y+1/2,-z", "-x,-y,-z", "-x,y-1/2,z"]}, {"symops": ["x,y,z", "x,-y+1/2,-z+1/2", "-x,-y,-z", "-x,y-1/2,z-1/2"], "universal_h_m": "P 2/n 1 1", "number": 13, "schoenflies": "C2h^4", "hall": "-P 2xbc", "hermann_mauguin": "P 2/n 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y+1/2,-z+1/2", "-x,-y,-z", "-x,y-1/2,z-1/2"]}, {"symops": ["x,y,z", "x,-y,-z+1/2", "-x,-y,-z", "-x,y,z-1/2"], "universal_h_m": "P 2/c 1 1", "number": 13, "schoenflies": "C2h^4", "hall": "-P 2xc", "hermann_mauguin": "P 2/c 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z+1/2", "-x,-y,-z", "-x,y,z-1/2"]}, {"symops": ["x,y,z", "-x,y+1/2,-z+1/2", "-x,-y,-z", "x,-y-1/2,z-1/2"], "universal_h_m": "P 1 21/c 1", "number": 14, "schoenflies": "C2h^5", "hall": "-P 2ybc", "hermann_mauguin": "P 1 21/c 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,-z+1/2", "-x,-y,-z", "x,-y-1/2,z-1/2"]}, {"symops": ["x,y,z", "-x+1/2,y+1/2,-z+1/2", "-x,-y,-z", "x-1/2,-y-1/2,z-1/2"], "universal_h_m": "P 1 21/n 1", "number": 14, "schoenflies": "C2h^5", "hall": "-P 2yn", "hermann_mauguin": "P 1 21/n 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y+1/2,-z+1/2", "-x,-y,-z", "x-1/2,-y-1/2,z-1/2"]}, {"symops": ["x,y,z", "-x+1/2,y+1/2,-z", "-x,-y,-z", "x-1/2,-y-1/2,z"], "universal_h_m": "P 1 21/a 1", "number": 14, "schoenflies": "C2h^5", "hall": "-P 2yab", "hermann_mauguin": "P 1 21/a 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y+1/2,-z", "-x,-y,-z", "x-1/2,-y-1/2,z"]}, {"symops": ["x,y,z", "-x+1/2,-y,z+1/2", "-x,-y,-z", "x-1/2,y,-z-1/2"], "universal_h_m": "P 1 1 21/a", "number": 14, "schoenflies": "C2h^5", "hall": "-P 2ac", "hermann_mauguin": "P 1 1 21/a", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,-y,z+1/2", "-x,-y,-z", "x-1/2,y,-z-1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z+1/2", "-x,-y,-z", "x-1/2,y-1/2,-z-1/2"], "universal_h_m": "P 1 1 21/n", "number": 14, "schoenflies": "C2h^5", "hall": "-P 2n", "hermann_mauguin": "P 1 1 21/n", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,-y+1/2,z+1/2", "-x,-y,-z", "x-1/2,y-1/2,-z-1/2"]}, {"symops": ["x,y,z", "-x,-y+1/2,z+1/2", "-x,-y,-z", "x,y-1/2,-z-1/2"], "universal_h_m": "P 1 1 21/b", "number": 14, "schoenflies": "C2h^5", "hall": "-P 2bc", "hermann_mauguin": "P 1 1 21/b", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y+1/2,z+1/2", "-x,-y,-z", "x,y-1/2,-z-1/2"]}, {"symops": ["x,y,z", "x+1/2,-y+1/2,-z", "-x,-y,-z", "-x-1/2,y-1/2,z"], "universal_h_m": "P 21/b 1 1", "number": 14, "schoenflies": "C2h^5", "hall": "-P 2xab", "hermann_mauguin": "P 21/b 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y+1/2,-z", "-x,-y,-z", "-x-1/2,y-1/2,z"]}, {"symops": ["x,y,z", "x+1/2,-y+1/2,-z+1/2", "-x,-y,-z", "-x-1/2,y-1/2,z-1/2"], "universal_h_m": "P 21/n 1 1", "number": 14, "schoenflies": "C2h^5", "hall": "-P 2xn", "hermann_mauguin": "P 21/n 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y+1/2,-z+1/2", "-x,-y,-z", "-x-1/2,y-1/2,z-1/2"]}, {"symops": ["x,y,z", "x+1/2,-y,-z+1/2", "-x,-y,-z", "-x-1/2,y,z-1/2"], "universal_h_m": "P 21/c 1 1", "number": 14, "schoenflies": "C2h^5", "hall": "-P 2xac", "hermann_mauguin": "P 21/c 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,-z+1/2", "-x,-y,-z", "-x-1/2,y,z-1/2"]}, {"symops": ["x,y,z", "-x,y,-z+1/2", "-x,-y,-z", "x,-y,z-1/2", "x+1/2,y+1/2,z", "-x+1/2,y+1/2,-z+1/2", "-x+1/2,-y+1/2,-z", "x+1/2,-y+1/2,z-1/2"], "universal_h_m": "C 1 2/c 1", "number": 15, "schoenflies": "C2h^6", "hall": "-C 2yc", "hermann_mauguin": "C 1 2/c 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z+1/2", "-x,-y,-z", "x,-y,z-1/2"]}, {"symops": ["x,y,z", "-x+1/2,y+1/2,-z", "-x,-y,-z", "x-1/2,-y-1/2,z", "x,y+1/2,z+1/2", "-x+1/2,y+1,-z+1/2", "-x,-y+1/2,-z+1/2", "x-1/2,-y,z+1/2"], "universal_h_m": "A 1 2/n 1", "number": 15, "schoenflies": "C2h^6", "hall": "-A 2yab", "hermann_mauguin": "A 1 2/n 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y+1/2,-z", "-x,-y,-z", "x-1/2,-y-1/2,z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z", "-x,-y,-z", "x-1/2,-y,z", "x+1/2,y+1/2,z+1/2", "-x+1,y+1/2,-z+1/2", "-x+1/2,-y+1/2,-z+1/2", "x,-y+1/2,z+1/2"], "universal_h_m": "I 1 2/a 1", "number": 15, "schoenflies": "C2h^6", "hall": "-I 2ya", "hermann_mauguin": "I 1 2/a 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y,-z", "-x,-y,-z", "x-1/2,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z", "-x,-y,-z", "x-1/2,-y,z", "x,y+1/2,z+1/2", "-x+1/2,y+1/2,-z+1/2", "-x,-y+1/2,-z+1/2", "x-1/2,-y+1/2,z+1/2"], "universal_h_m": "A 1 2/a 1", "number": 15, "schoenflies": "C2h^6", "hall": "-A 2ya", "hermann_mauguin": "A 1 2/a 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y,-z", "-x,-y,-z", "x-1/2,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z+1/2", "-x,-y,-z", "x-1/2,-y,z-1/2", "x+1/2,y+1/2,z", "-x+1,y+1/2,-z+1/2", "-x+1/2,-y+1/2,-z", "x,-y+1/2,z-1/2"], "universal_h_m": "C 1 2/n 1", "number": 15, "schoenflies": "C2h^6", "hall": "-C 2yac", "hermann_mauguin": "C 1 2/n 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y,-z+1/2", "-x,-y,-z", "x-1/2,-y,z-1/2"]}, {"symops": ["x,y,z", "-x,y,-z+1/2", "-x,-y,-z", "x,-y,z-1/2", "x+1/2,y+1/2,z+1/2", "-x+1/2,y+1/2,-z+1", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,-y+1/2,z"], "universal_h_m": "I 1 2/c 1", "number": 15, "schoenflies": "C2h^6", "hall": "-I 2yc", "hermann_mauguin": "I 1 2/c 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z+1/2", "-x,-y,-z", "x,-y,z-1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y,z", "-x,-y,-z", "x-1/2,y,-z", "x,y+1/2,z+1/2", "-x+1/2,-y+1/2,z+1/2", "-x,-y+1/2,-z+1/2", "x-1/2,y+1/2,-z+1/2"], "universal_h_m": "A 1 1 2/a", "number": 15, "schoenflies": "C2h^6", "hall": "-A 2a", "hermann_mauguin": "A 1 1 2/a", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,-y,z", "-x,-y,-z", "x-1/2,y,-z"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "-x,-y,-z", "x-1/2,y-1/2,-z", "x+1/2,y,z+1/2", "-x+1,-y+1/2,z+1/2", "-x+1/2,-y,-z+1/2", "x,y-1/2,-z+1/2"], "universal_h_m": "B 1 1 2/n", "number": 15, "schoenflies": "C2h^6", "hall": "-B 2ab", "hermann_mauguin": "B 1 1 2/n", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,-y+1/2,z", "-x,-y,-z", "x-1/2,y-1/2,-z"]}, {"symops": ["x,y,z", "-x,-y+1/2,z", "-x,-y,-z", "x,y-1/2,-z", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y+1,z+1/2", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,y,-z+1/2"], "universal_h_m": "I 1 1 2/b", "number": 15, "schoenflies": "C2h^6", "hall": "-I 2b", "hermann_mauguin": "I 1 1 2/b", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y+1/2,z", "-x,-y,-z", "x,y-1/2,-z"]}, {"symops": ["x,y,z", "-x,-y+1/2,z", "-x,-y,-z", "x,y-1/2,-z", "x+1/2,y,z+1/2", "-x+1/2,-y+1/2,z+1/2", "-x+1/2,-y,-z+1/2", "x+1/2,y-1/2,-z+1/2"], "universal_h_m": "B 1 1 2/b", "number": 15, "schoenflies": "C2h^6", "hall": "-B 2b", "hermann_mauguin": "B 1 1 2/b", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y+1/2,z", "-x,-y,-z", "x,y-1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "-x,-y,-z", "x-1/2,y-1/2,-z", "x,y+1/2,z+1/2", "-x+1/2,-y+1,z+1/2", "-x,-y+1/2,-z+1/2", "x-1/2,y,-z+1/2"], "universal_h_m": "A 1 1 2/n", "number": 15, "schoenflies": "C2h^6", "hall": "-A 2ab", "hermann_mauguin": "A 1 1 2/n", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,-y+1/2,z", "-x,-y,-z", "x-1/2,y-1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,-y,z", "-x,-y,-z", "x-1/2,y,-z", "x+1/2,y+1/2,z+1/2", "-x+1,-y+1/2,z+1/2", "-x+1/2,-y+1/2,-z+1/2", "x,y+1/2,-z+1/2"], "universal_h_m": "I 1 1 2/a", "number": 15, "schoenflies": "C2h^6", "hall": "-I 2a", "hermann_mauguin": "I 1 1 2/a", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,-y,z", "-x,-y,-z", "x-1/2,y,-z"]}, {"symops": ["x,y,z", "x,-y+1/2,-z", "-x,-y,-z", "-x,y-1/2,z", "x+1/2,y,z+1/2", "x+1/2,-y+1/2,-z+1/2", "-x+1/2,-y,-z+1/2", "-x+1/2,y-1/2,z+1/2"], "universal_h_m": "B 2/b 1 1", "number": 15, "schoenflies": "C2h^6", "hall": "-B 2xb", "hermann_mauguin": "B 2/b 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y+1/2,-z", "-x,-y,-z", "-x,y-1/2,z"]}, {"symops": ["x,y,z", "x+1/2,-y,-z+1/2", "-x,-y,-z", "-x-1/2,y,z-1/2", "x+1/2,y+1/2,z", "x+1,-y+1/2,-z+1/2", "-x+1/2,-y+1/2,-z", "-x,y+1/2,z-1/2"], "universal_h_m": "C 2/n 1 1", "number": 15, "schoenflies": "C2h^6", "hall": "-C 2xac", "hermann_mauguin": "C 2/n 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,-z+1/2", "-x,-y,-z", "-x-1/2,y,z-1/2"]}, {"symops": ["x,y,z", "x,-y,-z+1/2", "-x,-y,-z", "-x,y,z-1/2", "x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,-z+1", "-x+1/2,-y+1/2,-z+1/2", "-x+1/2,y+1/2,z"], "universal_h_m": "I 2/c 1 1", "number": 15, "schoenflies": "C2h^6", "hall": "-I 2xc", "hermann_mauguin": "I 2/c 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z+1/2", "-x,-y,-z", "-x,y,z-1/2"]}, {"symops": ["x,y,z", "x,-y,-z+1/2", "-x,-y,-z", "-x,y,z-1/2", "x+1/2,y+1/2,z", "x+1/2,-y+1/2,-z+1/2", "-x+1/2,-y+1/2,-z", "-x+1/2,y+1/2,z-1/2"], "universal_h_m": "C 2/c 1 1", "number": 15, "schoenflies": "C2h^6", "hall": "-C 2xc", "hermann_mauguin": "C 2/c 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z+1/2", "-x,-y,-z", "-x,y,z-1/2"]}, {"symops": ["x,y,z", "x+1/2,-y+1/2,-z", "-x,-y,-z", "-x-1/2,y-1/2,z", "x+1/2,y,z+1/2", "x+1,-y+1/2,-z+1/2", "-x+1/2,-y,-z+1/2", "-x,y-1/2,z+1/2"], "universal_h_m": "B 2/n 1 1", "number": 15, "schoenflies": "C2h^6", "hall": "-B 2xab", "hermann_mauguin": "B 2/n 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y+1/2,-z", "-x,-y,-z", "-x-1/2,y-1/2,z"]}, {"symops": ["x,y,z", "x,-y+1/2,-z", "-x,-y,-z", "-x,y-1/2,z", "x+1/2,y+1/2,z+1/2", "x+1/2,-y+1,-z+1/2", "-x+1/2,-y+1/2,-z+1/2", "-x+1/2,y,z+1/2"], "universal_h_m": "I 2/b 1 1", "number": 15, "schoenflies": "C2h^6", "hall": "-I 2xb", "hermann_mauguin": "I 2/b 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y+1/2,-z", "-x,-y,-z", "-x,y-1/2,z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z"], "universal_h_m": "P 2 2 2", "number": 16, "schoenflies": "D2^1", "hall": " P 2 2", "hermann_mauguin": "P 2 2 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "x,-y,-z", "-x,y,-z+1/2"], "universal_h_m": "P 2 2 21", "number": 17, "schoenflies": "D2^2", "hall": " P 2c 2", "hermann_mauguin": "P 2 2 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "x,-y,-z", "-x,y,-z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y,z", "x+1/2,-y,-z", "-x,y,-z"], "universal_h_m": "P 21 2 2", "number": 17, "schoenflies": "D2^2", "hall": " P 2a 2a", "hermann_mauguin": "P 21 2 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y,z", "x+1/2,-y,-z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y+1/2,-z", "-x,y+1/2,-z"], "universal_h_m": "P 2 21 2", "number": 17, "schoenflies": "D2^2", "hall": " P 2 2b", "hermann_mauguin": "P 2 21 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y+1/2,-z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x+1/2,-y+1/2,-z", "-x+1/2,y+1/2,-z"], "universal_h_m": "P 21 21 2", "number": 18, "schoenflies": "D2^3", "hall": " P 2 2ab", "hermann_mauguin": "P 21 21 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x+1/2,-y+1/2,-z", "-x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y+1/2,z+1/2", "x,-y,-z", "-x,y+1/2,-z+1/2"], "universal_h_m": "P 2 21 21", "number": 18, "schoenflies": "D2^3", "hall": " P 2bc 2", "hermann_mauguin": "P 2 21 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y+1/2,z+1/2", "x,-y,-z", "-x,y+1/2,-z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y,z+1/2", "x+1/2,-y,-z+1/2", "-x,y,-z"], "universal_h_m": "P 21 2 21", "number": 18, "schoenflies": "D2^3", "hall": " P 2ac 2ac", "hermann_mauguin": "P 21 2 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y,z+1/2", "x+1/2,-y,-z+1/2", "-x,y,-z"]}, {"symops": ["x,y,z", "-x+1/2,-y,z+1/2", "x+1/2,-y+1/2,-z", "-x,y+1/2,-z+1/2"], "universal_h_m": "P 21 21 21", "number": 19, "schoenflies": "D2^4", "hall": " P 2ac 2ab", "hermann_mauguin": "P 21 21 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y,z+1/2", "x+1/2,-y+1/2,-z", "-x,y+1/2,-z+1/2"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "x,-y,-z", "-x,y,-z+1/2", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z+1/2", "x+1/2,-y+1/2,-z", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "C 2 2 21", "number": 20, "schoenflies": "D2^5", "hall": " C 2c 2", "hermann_mauguin": "C 2 2 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "x,-y,-z", "-x,y,-z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y,z", "x+1/2,-y,-z", "-x,y,-z", "x,y+1/2,z+1/2", "-x+1/2,-y+1/2,z+1/2", "x+1/2,-y+1/2,-z+1/2", "-x,y+1/2,-z+1/2"], "universal_h_m": "A 21 2 2", "number": 20, "schoenflies": "D2^5", "hall": " A 2a 2a", "hermann_mauguin": "A 21 2 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y,z", "x+1/2,-y,-z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y+1/2,-z", "-x,y+1/2,-z", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "x+1/2,-y+1/2,-z+1/2", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "B 2 21 2", "number": 20, "schoenflies": "D2^5", "hall": " B 2 2b", "hermann_mauguin": "B 2 21 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y+1/2,-z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z", "x+1/2,-y+1/2,-z", "-x+1/2,y+1/2,-z"], "universal_h_m": "C 2 2 2", "number": 21, "schoenflies": "D2^6", "hall": " C 2 2", "hermann_mauguin": "C 2 2 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "x,-y+1/2,-z+1/2", "-x,y+1/2,-z+1/2"], "universal_h_m": "A 2 2 2", "number": 21, "schoenflies": "D2^6", "hall": " A 2 2", "hermann_mauguin": "A 2 2 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "x+1/2,-y,-z+1/2", "-x+1/2,y,-z+1/2"], "universal_h_m": "B 2 2 2", "number": 21, "schoenflies": "D2^6", "hall": " B 2 2", "hermann_mauguin": "B 2 2 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "x,-y+1/2,-z+1/2", "-x,y+1/2,-z+1/2", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "x+1/2,-y,-z+1/2", "-x+1/2,y,-z+1/2", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z", "x+1/2,-y+1/2,-z", "-x+1/2,y+1/2,-z"], "universal_h_m": "F 2 2 2", "number": 22, "schoenflies": "D2^7", "hall": " F 2 2", "hermann_mauguin": "F 2 2 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y+1/2,z+1/2", "x+1/2,-y+1/2,-z+1/2", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "I 2 2 2", "number": 23, "schoenflies": "D2^8", "hall": " I 2 2", "hermann_mauguin": "I 2 2 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y+1/2,z", "x,-y,-z+1/2", "-x,y+1/2,-z+1/2", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y+1,z+1/2", "x+1/2,-y+1/2,-z+1", "-x+1/2,y+1,-z+1"], "universal_h_m": "I 21 21 21", "number": 24, "schoenflies": "D2^9", "hall": " I 2b 2c", "hermann_mauguin": "I 21 21 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y+1/2,z", "x,-y,-z+1/2", "-x,y+1/2,-z+1/2"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z"], "universal_h_m": "P m m 2", "number": 25, "schoenflies": "C2v^1", "hall": " P 2 -2", "hermann_mauguin": "P m m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z"], "universal_h_m": "P 2 m m", "number": 25, "schoenflies": "C2v^1", "hall": " P -2 2", "hermann_mauguin": "P 2 m m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z"], "universal_h_m": "P m 2 m", "number": 25, "schoenflies": "C2v^1", "hall": " P -2 -2", "hermann_mauguin": "P m 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "-x,y,z", "x,-y,z+1/2"], "universal_h_m": "P m c 21", "number": 26, "schoenflies": "C2v^2", "hall": " P 2c -2", "hermann_mauguin": "P m c 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x,y,z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "-x,y,z+1/2", "x,-y,z"], "universal_h_m": "P c m 21", "number": 26, "schoenflies": "C2v^2", "hall": " P 2c -2c", "hermann_mauguin": "P c m 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x,y,z+1/2", "x,-y,z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x+1/2,-y,-z", "x,-y,z"], "universal_h_m": "P 21 m a", "number": 26, "schoenflies": "C2v^2", "hall": " P -2a 2a", "hermann_mauguin": "P 21 m a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "x+1/2,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x+1/2,-y,-z", "x+1/2,-y,z"], "universal_h_m": "P 21 a m", "number": 26, "schoenflies": "C2v^2", "hall": " P -2 2a", "hermann_mauguin": "P 21 a m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "x+1/2,-y,-z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "-x,y+1/2,z", "-x,y+1/2,-z"], "universal_h_m": "P b 21 m", "number": 26, "schoenflies": "C2v^2", "hall": " P -2 -2b", "hermann_mauguin": "P b 21 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y+1/2,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "-x,y,z", "-x,y+1/2,-z"], "universal_h_m": "P m 21 b", "number": 26, "schoenflies": "C2v^2", "hall": " P -2b -2", "hermann_mauguin": "P m 21 b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y,z+1/2", "x,-y,z+1/2"], "universal_h_m": "P c c 2", "number": 27, "schoenflies": "C2v^3", "hall": " P 2 -2c", "hermann_mauguin": "P c c 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z+1/2", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z"], "universal_h_m": "P 2 a a", "number": 27, "schoenflies": "C2v^3", "hall": " P -2a 2", "hermann_mauguin": "P 2 a a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "-x,y+1/2,z", "-x,y,-z"], "universal_h_m": "P b 2 b", "number": 27, "schoenflies": "C2v^3", "hall": " P -2b -2b", "hermann_mauguin": "P b 2 b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y+1/2,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/2,y,z", "x+1/2,-y,z"], "universal_h_m": "P m a 2", "number": 28, "schoenflies": "C2v^4", "hall": " P 2 -2a", "hermann_mauguin": "P m a 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y,z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y+1/2,z", "x,-y+1/2,z"], "universal_h_m": "P b m 2", "number": 28, "schoenflies": "C2v^4", "hall": " P 2 -2b", "hermann_mauguin": "P b m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y+1/2,z", "x,-y+1/2,z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "x,-y,-z", "x,-y+1/2,z"], "universal_h_m": "P 2 m b", "number": 28, "schoenflies": "C2v^4", "hall": " P -2b 2", "hermann_mauguin": "P 2 m b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "x,-y,-z", "x,-y+1/2,z"]}, {"symops": ["x,y,z", "x,y,-z+1/2", "x,-y,-z", "x,-y,z+1/2"], "universal_h_m": "P 2 c m", "number": 28, "schoenflies": "C2v^4", "hall": " P -2c 2", "hermann_mauguin": "P 2 c m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z+1/2", "x,-y,-z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x,y,-z+1/2", "-x,y,z+1/2", "-x,y,-z"], "universal_h_m": "P c 2 m", "number": 28, "schoenflies": "C2v^4", "hall": " P -2c -2c", "hermann_mauguin": "P c 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z+1/2", "-x,y,z+1/2", "-x,y,-z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y,z", "-x,y,-z"], "universal_h_m": "P m 2 a", "number": 28, "schoenflies": "C2v^4", "hall": " P -2a -2a", "hermann_mauguin": "P m 2 a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y,z+1/2", "x+1/2,-y,z"], "universal_h_m": "P c a 21", "number": 29, "schoenflies": "C2v^5", "hall": " P 2c -2ac", "hermann_mauguin": "P c a 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y,z+1/2", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "-x,y+1/2,z", "x,-y+1/2,z+1/2"], "universal_h_m": "P b c 21", "number": 29, "schoenflies": "C2v^5", "hall": " P 2c -2b", "hermann_mauguin": "P b c 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x,y+1/2,z", "x,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "x+1/2,-y,-z", "x+1/2,-y+1/2,z"], "universal_h_m": "P 21 a b", "number": 29, "schoenflies": "C2v^5", "hall": " P -2b 2a", "hermann_mauguin": "P 21 a b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "x+1/2,-y,-z", "x+1/2,-y+1/2,z"]}, {"symops": ["x,y,z", "x+1/2,y,-z+1/2", "x+1/2,-y,-z", "x,-y,z+1/2"], "universal_h_m": "P 21 c a", "number": 29, "schoenflies": "C2v^5", "hall": " P -2ac 2a", "hermann_mauguin": "P 21 c a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z+1/2", "x+1/2,-y,-z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x,y+1/2,-z+1/2", "-x,y,z+1/2", "-x,y+1/2,-z"], "universal_h_m": "P c 21 b", "number": 29, "schoenflies": "C2v^5", "hall": " P -2bc -2c", "hermann_mauguin": "P c 21 b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z+1/2", "-x,y,z+1/2", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y+1/2,z", "-x,y+1/2,-z"], "universal_h_m": "P b 21 a", "number": 29, "schoenflies": "C2v^5", "hall": " P -2a -2ab", "hermann_mauguin": "P b 21 a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y+1/2,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y+1/2,z+1/2", "x,-y+1/2,z+1/2"], "universal_h_m": "P n c 2", "number": 30, "schoenflies": "C2v^6", "hall": " P 2 -2bc", "hermann_mauguin": "P n c 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y+1/2,z+1/2", "x,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/2,y,z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "P c n 2", "number": 30, "schoenflies": "C2v^6", "hall": " P 2 -2ac", "hermann_mauguin": "P c n 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y,z+1/2", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y,-z+1/2", "x,-y,-z", "x+1/2,-y,z+1/2"], "universal_h_m": "P 2 n a", "number": 30, "schoenflies": "C2v^6", "hall": " P -2ac 2", "hermann_mauguin": "P 2 n a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z+1/2", "x,-y,-z", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z", "x,-y,-z", "x+1/2,-y+1/2,z"], "universal_h_m": "P 2 a n", "number": 30, "schoenflies": "C2v^6", "hall": " P -2ab 2", "hermann_mauguin": "P 2 a n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "x,-y,-z", "x+1/2,-y+1/2,z"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z", "-x+1/2,y+1/2,z", "-x,y,-z"], "universal_h_m": "P b 2 n", "number": 30, "schoenflies": "C2v^6", "hall": " P -2ab -2ab", "hermann_mauguin": "P b 2 n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "-x+1/2,y+1/2,z", "-x,y,-z"]}, {"symops": ["x,y,z", "x,y+1/2,-z+1/2", "-x,y+1/2,z+1/2", "-x,y,-z"], "universal_h_m": "P n 2 b", "number": 30, "schoenflies": "C2v^6", "hall": " P -2bc -2bc", "hermann_mauguin": "P n 2 b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z+1/2", "-x,y+1/2,z+1/2", "-x,y,-z"]}, {"symops": ["x,y,z", "-x+1/2,-y,z+1/2", "-x,y,z", "x+1/2,-y,z+1/2"], "universal_h_m": "P m n 21", "number": 31, "schoenflies": "C2v^7", "hall": " P 2ac -2", "hermann_mauguin": "P m n 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y,z+1/2", "-x,y,z", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "-x,-y+1/2,z+1/2", "-x,y+1/2,z+1/2", "x,-y,z"], "universal_h_m": "P n m 21", "number": 31, "schoenflies": "C2v^7", "hall": " P 2bc -2bc", "hermann_mauguin": "P n m 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y+1/2,z+1/2", "-x,y+1/2,z+1/2", "x,-y,z"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z", "x+1/2,-y+1/2,-z", "x,-y,z"], "universal_h_m": "P 21 m n", "number": 31, "schoenflies": "C2v^7", "hall": " P -2ab 2ab", "hermann_mauguin": "P 21 m n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "x+1/2,-y+1/2,-z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x+1/2,-y,-z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "P 21 n m", "number": 31, "schoenflies": "C2v^7", "hall": " P -2 2ac", "hermann_mauguin": "P 21 n m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "x+1/2,-y,-z+1/2", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "x,y,-z", "-x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2"], "universal_h_m": "P n 21 m", "number": 31, "schoenflies": "C2v^7", "hall": " P -2 -2bc", "hermann_mauguin": "P n 21 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z", "-x,y,z", "-x+1/2,y+1/2,-z"], "universal_h_m": "P m 21 n", "number": 31, "schoenflies": "C2v^7", "hall": " P -2ab -2", "hermann_mauguin": "P m 21 n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "-x,y,z", "-x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z"], "universal_h_m": "P b a 2", "number": 32, "schoenflies": "C2v^8", "hall": " P 2 -2ab", "hermann_mauguin": "P b a 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z"]}, {"symops": ["x,y,z", "x,y+1/2,-z+1/2", "x,-y,-z", "x,-y+1/2,z+1/2"], "universal_h_m": "P 2 c b", "number": 32, "schoenflies": "C2v^8", "hall": " P -2bc 2", "hermann_mauguin": "P 2 c b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z+1/2", "x,-y,-z", "x,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y,-z+1/2", "-x+1/2,y,z+1/2", "-x,y,-z"], "universal_h_m": "P c 2 a", "number": 32, "schoenflies": "C2v^8", "hall": " P -2ac -2ac", "hermann_mauguin": "P c 2 a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z+1/2", "-x+1/2,y,z+1/2", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z"], "universal_h_m": "P n a 21", "number": 33, "schoenflies": "C2v^9", "hall": " P 2c -2n", "hermann_mauguin": "P n a 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "P b n 21", "number": 33, "schoenflies": "C2v^9", "hall": " P 2c -2ab", "hermann_mauguin": "P b n 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "x,y+1/2,-z+1/2", "x+1/2,-y,-z", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "P 21 n b", "number": 33, "schoenflies": "C2v^9", "hall": " P -2bc 2a", "hermann_mauguin": "P 21 n b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z+1/2", "x+1/2,-y,-z", "x+1/2,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z+1/2", "x+1/2,-y,-z", "x,-y+1/2,z+1/2"], "universal_h_m": "P 21 c n", "number": 33, "schoenflies": "C2v^9", "hall": " P -2n 2a", "hermann_mauguin": "P 21 c n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z+1/2", "x+1/2,-y,-z", "x,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y,z+1/2", "-x,y+1/2,-z"], "universal_h_m": "P c 21 n", "number": 33, "schoenflies": "C2v^9", "hall": " P -2n -2ac", "hermann_mauguin": "P c 21 n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y,z+1/2", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "x+1/2,y,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x,y+1/2,-z"], "universal_h_m": "P n 21 a", "number": 33, "schoenflies": "C2v^9", "hall": " P -2ac -2n", "hermann_mauguin": "P n 21 a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "P n n 2", "number": 34, "schoenflies": "C2v^10", "hall": " P 2 -2n", "hermann_mauguin": "P n n 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z+1/2", "x,-y,-z", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "P 2 n n", "number": 34, "schoenflies": "C2v^10", "hall": " P -2n 2", "hermann_mauguin": "P 2 n n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z+1/2", "x,-y,-z", "x+1/2,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x,y,-z"], "universal_h_m": "P n 2 n", "number": 34, "schoenflies": "C2v^10", "hall": " P -2n -2n", "hermann_mauguin": "P n 2 n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z"], "universal_h_m": "C m m 2", "number": 35, "schoenflies": "C2v^11", "hall": " C 2 -2", "hermann_mauguin": "C m m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z", "x,y+1/2,z+1/2", "x,y+1/2,-z+1/2", "x,-y+1/2,-z+1/2", "x,-y+1/2,z+1/2"], "universal_h_m": "A 2 m m", "number": 35, "schoenflies": "C2v^11", "hall": " A -2 2", "hermann_mauguin": "A 2 m m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z", "x+1/2,y,z+1/2", "x+1/2,y,-z+1/2", "-x+1/2,y,z+1/2", "-x+1/2,y,-z+1/2"], "universal_h_m": "B m 2 m", "number": 35, "schoenflies": "C2v^11", "hall": " B -2 -2", "hermann_mauguin": "B m 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "-x,y,z", "x,-y,z+1/2", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z+1/2", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "C m c 21", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2", "hermann_mauguin": "C m c 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x,y,z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "-x,y,z+1/2", "x,-y,z", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z"], "universal_h_m": "C c m 21", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2c", "hermann_mauguin": "C c m 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x,y,z+1/2", "x,-y,z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x+1/2,-y,-z", "x,-y,z", "x,y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2", "x+1/2,-y+1/2,-z+1/2", "x,-y+1/2,z+1/2"], "universal_h_m": "A 21 m a", "number": 36, "schoenflies": "C2v^12", "hall": " A -2a 2a", "hermann_mauguin": "A 21 m a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "x+1/2,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x+1/2,-y,-z", "x+1/2,-y,z", "x,y+1/2,z+1/2", "x,y+1/2,-z+1/2", "x+1/2,-y+1/2,-z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "A 21 a m", "number": 36, "schoenflies": "C2v^12", "hall": " A -2 2a", "hermann_mauguin": "A 21 a m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "x+1/2,-y,-z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "-x,y+1/2,z", "-x,y+1/2,-z", "x+1/2,y,z+1/2", "x+1/2,y,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "B b 21 m", "number": 36, "schoenflies": "C2v^12", "hall": " B -2 -2b", "hermann_mauguin": "B b 21 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y+1/2,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "-x,y,z", "-x,y+1/2,-z", "x+1/2,y,z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y,z+1/2", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "B m 21 b", "number": 36, "schoenflies": "C2v^12", "hall": " B -2b -2", "hermann_mauguin": "B m 21 b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y,z+1/2", "x,-y,z+1/2", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "C c c 2", "number": 37, "schoenflies": "C2v^13", "hall": " C 2 -2c", "hermann_mauguin": "C c c 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z+1/2", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z", "x,y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2", "x,-y+1/2,-z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "A 2 a a", "number": 37, "schoenflies": "C2v^13", "hall": " A -2a 2", "hermann_mauguin": "A 2 a a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "-x,y+1/2,z", "-x,y,-z", "x+1/2,y,z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x+1/2,y,-z+1/2"], "universal_h_m": "B b 2 b", "number": 37, "schoenflies": "C2v^13", "hall": " B -2b -2b", "hermann_mauguin": "B b 2 b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y+1/2,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "-x,y+1/2,z+1/2", "x,-y+1/2,z+1/2"], "universal_h_m": "A m m 2", "number": 38, "schoenflies": "C2v^14", "hall": " A 2 -2", "hermann_mauguin": "A m m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "-x+1/2,y,z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "B m m 2", "number": 38, "schoenflies": "C2v^14", "hall": " B 2 -2", "hermann_mauguin": "B m m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z", "x+1/2,y,z+1/2", "x+1/2,y,-z+1/2", "x+1/2,-y,-z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "B 2 m m", "number": 38, "schoenflies": "C2v^14", "hall": " B -2 2", "hermann_mauguin": "B 2 m m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z", "x+1/2,y+1/2,z", "x+1/2,y+1/2,-z", "x+1/2,-y+1/2,-z", "x+1/2,-y+1/2,z"], "universal_h_m": "C 2 m m", "number": 38, "schoenflies": "C2v^14", "hall": " C -2 2", "hermann_mauguin": "C 2 m m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z", "x+1/2,y+1/2,z", "x+1/2,y+1/2,-z", "-x+1/2,y+1/2,z", "-x+1/2,y+1/2,-z"], "universal_h_m": "C m 2 m", "number": 38, "schoenflies": "C2v^14", "hall": " C -2 -2", "hermann_mauguin": "C m 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z", "x,y+1/2,z+1/2", "x,y+1/2,-z+1/2", "-x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2"], "universal_h_m": "A m 2 m", "number": 38, "schoenflies": "C2v^14", "hall": " A -2 -2", "hermann_mauguin": "A m 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y+1/2,z", "x,-y+1/2,z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "-x,y+1,z+1/2", "x,-y+1,z+1/2"], "universal_h_m": "A e m 2", "number": 39, "schoenflies": "C2v^15", "hall": " A 2 -2b", "hermann_mauguin": "A e m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y+1/2,z", "x,-y+1/2,z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/2,y,z", "x+1/2,-y,z", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "-x+1,y,z+1/2", "x+1,-y,z+1/2"], "universal_h_m": "B m e 2", "number": 39, "schoenflies": "C2v^15", "hall": " B 2 -2a", "hermann_mauguin": "B m e 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y,z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z", "x+1/2,y,z+1/2", "x+1,y,-z+1/2", "x+1/2,-y,-z+1/2", "x+1,-y,z+1/2"], "universal_h_m": "B 2 e m", "number": 39, "schoenflies": "C2v^15", "hall": " B -2a 2", "hermann_mauguin": "B 2 e m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z", "x+1/2,y+1/2,z", "x+1,y+1/2,-z", "x+1/2,-y+1/2,-z", "x+1,-y+1/2,z"], "universal_h_m": "C 2 m e", "number": 39, "schoenflies": "C2v^15", "hall": " C -2a 2", "hermann_mauguin": "C 2 m e", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y,z", "-x,y,-z", "x+1/2,y+1/2,z", "x+1,y+1/2,-z", "-x+1,y+1/2,z", "-x+1/2,y+1/2,-z"], "universal_h_m": "C m 2 e", "number": 39, "schoenflies": "C2v^15", "hall": " C -2a -2a", "hermann_mauguin": "C m 2 e", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "-x,y+1/2,z", "-x,y,-z", "x,y+1/2,z+1/2", "x,y+1,-z+1/2", "-x,y+1,z+1/2", "-x,y+1/2,-z+1/2"], "universal_h_m": "A e 2 m", "number": 39, "schoenflies": "C2v^15", "hall": " A -2b -2b", "hermann_mauguin": "A e 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y+1/2,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/2,y,z", "x+1/2,-y,z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "A m a 2", "number": 40, "schoenflies": "C2v^16", "hall": " A 2 -2a", "hermann_mauguin": "A m a 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y,z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y+1/2,z", "x,-y+1/2,z", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "B b m 2", "number": 40, "schoenflies": "C2v^16", "hall": " B 2 -2b", "hermann_mauguin": "B b m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y+1/2,z", "x,-y+1/2,z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "x,-y,-z", "x,-y+1/2,z", "x+1/2,y,z+1/2", "x+1/2,y+1/2,-z+1/2", "x+1/2,-y,-z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "B 2 m b", "number": 40, "schoenflies": "C2v^16", "hall": " B -2b 2", "hermann_mauguin": "B 2 m b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "x,-y,-z", "x,-y+1/2,z"]}, {"symops": ["x,y,z", "x,y,-z+1/2", "x,-y,-z", "x,-y,z+1/2", "x+1/2,y+1/2,z", "x+1/2,y+1/2,-z+1/2", "x+1/2,-y+1/2,-z", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "C 2 c m", "number": 40, "schoenflies": "C2v^16", "hall": " C -2c 2", "hermann_mauguin": "C 2 c m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z+1/2", "x,-y,-z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x,y,-z+1/2", "-x,y,z+1/2", "-x,y,-z", "x+1/2,y+1/2,z", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x+1/2,y+1/2,-z"], "universal_h_m": "C c 2 m", "number": 40, "schoenflies": "C2v^16", "hall": " C -2c -2c", "hermann_mauguin": "C c 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z+1/2", "-x,y,z+1/2", "-x,y,-z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y,z", "-x,y,-z", "x,y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x,y+1/2,-z+1/2"], "universal_h_m": "A m 2 a", "number": 40, "schoenflies": "C2v^16", "hall": " A -2a -2a", "hermann_mauguin": "A m 2 a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "-x+1/2,y+1,z+1/2", "x+1/2,-y+1,z+1/2"], "universal_h_m": "A e a 2", "number": 41, "schoenflies": "C2v^17", "hall": " A 2 -2ab", "hermann_mauguin": "A e a 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "-x+1,y+1/2,z+1/2", "x+1,-y+1/2,z+1/2"], "universal_h_m": "B b e 2", "number": 41, "schoenflies": "C2v^17", "hall": " B 2 -2ab", "hermann_mauguin": "B b e 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z", "x,-y,-z", "x+1/2,-y+1/2,z", "x+1/2,y,z+1/2", "x+1,y+1/2,-z+1/2", "x+1/2,-y,-z+1/2", "x+1,-y+1/2,z+1/2"], "universal_h_m": "B 2 e b", "number": 41, "schoenflies": "C2v^17", "hall": " B -2ab 2", "hermann_mauguin": "B 2 e b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "x,-y,-z", "x+1/2,-y+1/2,z"]}, {"symops": ["x,y,z", "x+1/2,y,-z+1/2", "x,-y,-z", "x+1/2,-y,z+1/2", "x+1/2,y+1/2,z", "x+1,y+1/2,-z+1/2", "x+1/2,-y+1/2,-z", "x+1,-y+1/2,z+1/2"], "universal_h_m": "C 2 e b", "number": 41, "schoenflies": "C2v^17", "hall": " C -2ac 2", "hermann_mauguin": "C 2 e b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z+1/2", "x,-y,-z", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y,-z+1/2", "-x+1/2,y,z+1/2", "-x,y,-z", "x+1/2,y+1/2,z", "x+1,y+1/2,-z+1/2", "-x+1,y+1/2,z+1/2", "-x+1/2,y+1/2,-z"], "universal_h_m": "C c 2 e", "number": 41, "schoenflies": "C2v^17", "hall": " C -2ac -2ac", "hermann_mauguin": "C c 2 e", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z+1/2", "-x+1/2,y,z+1/2", "-x,y,-z"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z", "-x+1/2,y+1/2,z", "-x,y,-z", "x,y+1/2,z+1/2", "x+1/2,y+1,-z+1/2", "-x+1/2,y+1,z+1/2", "-x,y+1/2,-z+1/2"], "universal_h_m": "A e 2 a", "number": 41, "schoenflies": "C2v^17", "hall": " A -2ab -2ab", "hermann_mauguin": "A e 2 a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "-x+1/2,y+1/2,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "-x,y+1/2,z+1/2", "x,-y+1/2,z+1/2", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "-x+1/2,y,z+1/2", "x+1/2,-y,z+1/2", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z"], "universal_h_m": "F m m 2", "number": 42, "schoenflies": "C2v^18", "hall": " F 2 -2", "hermann_mauguin": "F m m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z", "x,y+1/2,z+1/2", "x,y+1/2,-z+1/2", "x,-y+1/2,-z+1/2", "x,-y+1/2,z+1/2", "x+1/2,y,z+1/2", "x+1/2,y,-z+1/2", "x+1/2,-y,-z+1/2", "x+1/2,-y,z+1/2", "x+1/2,y+1/2,z", "x+1/2,y+1/2,-z", "x+1/2,-y+1/2,-z", "x+1/2,-y+1/2,z"], "universal_h_m": "F 2 m m", "number": 42, "schoenflies": "C2v^18", "hall": " F -2 2", "hermann_mauguin": "F 2 m m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z", "x,y+1/2,z+1/2", "x,y+1/2,-z+1/2", "-x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2", "x+1/2,y,z+1/2", "x+1/2,y,-z+1/2", "-x+1/2,y,z+1/2", "-x+1/2,y,-z+1/2", "x+1/2,y+1/2,z", "x+1/2,y+1/2,-z", "-x+1/2,y+1/2,z", "-x+1/2,y+1/2,-z"], "universal_h_m": "F m 2 m", "number": 42, "schoenflies": "C2v^18", "hall": " F -2 -2", "hermann_mauguin": "F m 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/4,y+1/4,z+1/4", "x+3/4,-y+3/4,z+1/4", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "-x+1/4,y+3/4,z+3/4", "x+3/4,-y+5/4,z+3/4", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "-x+3/4,y+1/4,z+3/4", "x+5/4,-y+3/4,z+3/4", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z", "-x+3/4,y+3/4,z+1/4", "x+5/4,-y+5/4,z+1/4"], "universal_h_m": "F d d 2", "number": 43, "schoenflies": "C2v^19", "hall": " F 2 -2d", "hermann_mauguin": "F d d 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/4,y+1/4,z+1/4", "x+3/4,-y+3/4,z+1/4"]}, {"symops": ["x,y,z", "x+1/4,y+1/4,-z+1/4", "x,-y,-z", "x+1/4,-y+1/4,z+1/4", "x,y+1/2,z+1/2", "x+1/4,y+3/4,-z+3/4", "x,-y+1/2,-z+1/2", "x+1/4,-y+3/4,z+3/4", "x+1/2,y,z+1/2", "x+3/4,y+1/4,-z+3/4", "x+1/2,-y,-z+1/2", "x+3/4,-y+1/4,z+3/4", "x+1/2,y+1/2,z", "x+3/4,y+3/4,-z+1/4", "x+1/2,-y+1/2,-z", "x+3/4,-y+3/4,z+1/4"], "universal_h_m": "F 2 d d", "number": 43, "schoenflies": "C2v^19", "hall": " F -2d 2", "hermann_mauguin": "F 2 d d", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/4,y+1/4,-z+1/4", "x,-y,-z", "x+1/4,-y+1/4,z+1/4"]}, {"symops": ["x,y,z", "x+1/4,y+1/4,-z+1/4", "-x+1/4,y+1/4,z+1/4", "-x+1/2,y+1/2,-z", "x,y+1/2,z+1/2", "x+1/4,y+3/4,-z+3/4", "-x+1/4,y+3/4,z+3/4", "-x+1/2,y+1,-z+1/2", "x+1/2,y,z+1/2", "x+3/4,y+1/4,-z+3/4", "-x+3/4,y+1/4,z+3/4", "-x+1,y+1/2,-z+1/2", "x+1/2,y+1/2,z", "x+3/4,y+3/4,-z+1/4", "-x+3/4,y+3/4,z+1/4", "-x+1,y+1,-z"], "universal_h_m": "F d 2 d", "number": 43, "schoenflies": "C2v^19", "hall": " F -2d -2d", "hermann_mauguin": "F d 2 d", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/4,y+1/4,-z+1/4", "-x+1/4,y+1/4,z+1/4", "-x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y+1/2,z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "I m m 2", "number": 44, "schoenflies": "C2v^20", "hall": " I 2 -2", "hermann_mauguin": "I m m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z", "x+1/2,y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2", "x+1/2,-y+1/2,-z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "I 2 m m", "number": 44, "schoenflies": "C2v^20", "hall": " I -2 2", "hermann_mauguin": "I 2 m m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z", "x+1/2,y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "I m 2 m", "number": 44, "schoenflies": "C2v^20", "hall": " I -2 -2", "hermann_mauguin": "I m 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y,z+1/2", "x,-y,z+1/2", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y+1/2,z+1/2", "-x+1/2,y+1/2,z+1", "x+1/2,-y+1/2,z+1"], "universal_h_m": "I b a 2", "number": 45, "schoenflies": "C2v^21", "hall": " I 2 -2c", "hermann_mauguin": "I b a 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z+1/2", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z", "x+1/2,y+1/2,z+1/2", "x+1,y+1/2,-z+1/2", "x+1/2,-y+1/2,-z+1/2", "x+1,-y+1/2,z+1/2"], "universal_h_m": "I 2 c b", "number": 45, "schoenflies": "C2v^21", "hall": " I -2a 2", "hermann_mauguin": "I 2 c b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "-x,y+1/2,z", "-x,y,-z", "x+1/2,y+1/2,z+1/2", "x+1/2,y+1,-z+1/2", "-x+1/2,y+1,z+1/2", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "I c 2 a", "number": 45, "schoenflies": "C2v^21", "hall": " I -2b -2b", "hermann_mauguin": "I c 2 a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y+1/2,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/2,y,z", "x+1/2,-y,z", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y+1/2,z+1/2", "-x+1,y+1/2,z+1/2", "x+1,-y+1/2,z+1/2"], "universal_h_m": "I m a 2", "number": 46, "schoenflies": "C2v^22", "hall": " I 2 -2a", "hermann_mauguin": "I m a 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y,z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y+1/2,z", "x,-y+1/2,z", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y+1/2,z+1/2", "-x+1/2,y+1,z+1/2", "x+1/2,-y+1,z+1/2"], "universal_h_m": "I b m 2", "number": 46, "schoenflies": "C2v^22", "hall": " I 2 -2b", "hermann_mauguin": "I b m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y+1/2,z", "x,-y+1/2,z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "x,-y,-z", "x,-y+1/2,z", "x+1/2,y+1/2,z+1/2", "x+1/2,y+1,-z+1/2", "x+1/2,-y+1/2,-z+1/2", "x+1/2,-y+1,z+1/2"], "universal_h_m": "I 2 m b", "number": 46, "schoenflies": "C2v^22", "hall": " I -2b 2", "hermann_mauguin": "I 2 m b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "x,-y,-z", "x,-y+1/2,z"]}, {"symops": ["x,y,z", "x,y,-z+1/2", "x,-y,-z", "x,-y,z+1/2", "x+1/2,y+1/2,z+1/2", "x+1/2,y+1/2,-z+1", "x+1/2,-y+1/2,-z+1/2", "x+1/2,-y+1/2,z+1"], "universal_h_m": "I 2 c m", "number": 46, "schoenflies": "C2v^22", "hall": " I -2c 2", "hermann_mauguin": "I 2 c m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z+1/2", "x,-y,-z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x,y,-z+1/2", "-x,y,z+1/2", "-x,y,-z", "x+1/2,y+1/2,z+1/2", "x+1/2,y+1/2,-z+1", "-x+1/2,y+1/2,z+1", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "I c 2 m", "number": 46, "schoenflies": "C2v^22", "hall": " I -2c -2c", "hermann_mauguin": "I c 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z+1/2", "-x,y,z+1/2", "-x,y,-z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y,z", "-x,y,-z", "x+1/2,y+1/2,z+1/2", "x+1,y+1/2,-z+1/2", "-x+1,y+1/2,z+1/2", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "I m 2 a", "number": 46, "schoenflies": "C2v^22", "hall": " I -2a -2a", "hermann_mauguin": "I m 2 a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "-x,-y,-z", "x,y,-z", "-x,y,z", "x,-y,z"], "universal_h_m": "P m m m", "number": 47, "schoenflies": "D2h^1", "hall": "-P 2 2", "hermann_mauguin": "P m m m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "-x,-y,-z", "x,y,-z", "-x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2", 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"y+1/2,x,z+3/4"]}, {"symops": ["x,y,z", "-y,x,z", "-x,-y,z", "y,-x,z", "x,-y,-z", "y,x,-z", "-x,y,-z", "-y,-x,-z", "-x,-y,-z", "y,-x,-z", "x,y,-z", "-y,x,-z", "-x,y,z", "-y,-x,z", "x,-y,z", "y,x,z"], "universal_h_m": "P 4/m m m", "number": 123, "schoenflies": "D4h^1", "hall": "-P 4 2", "hermann_mauguin": "P 4/m m m", "crystal_class": "tetragonal", "ncsym": ["x,y,z", "-y,x,z", "-x,-y,z", "y,-x,z", "x,-y,-z", "y,x,-z", "-x,y,-z", "-y,-x,-z", "-x,-y,-z", "y,-x,-z", "x,y,-z", "-y,x,-z", "-x,y,z", "-y,-x,z", "x,-y,z", "y,x,z"]}, {"symops": ["x,y,z", "-y,x,z", "-x,-y,z", "y,-x,z", "x,-y,-z+1/2", "y,x,-z+1/2", "-x,y,-z+1/2", "-y,-x,-z+1/2", "-x,-y,-z", "y,-x,-z", "x,y,-z", "-y,x,-z", "-x,y,z-1/2", "-y,-x,z-1/2", "x,-y,z-1/2", "y,x,z-1/2"], "universal_h_m": "P 4/m c c", "number": 124, "schoenflies": "D4h^2", "hall": "-P 4 2c", "hermann_mauguin": "P 4/m c c", "crystal_class": "tetragonal", "ncsym": ["x,y,z", "-y,x,z", "-x,-y,z", "y,-x,z", "x,-y,-z+1/2", "y,x,-z+1/2", "-x,y,-z+1/2", 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"x+1/4,z+1/4,y+1/4", "-y+1/2,-z+1/2,-x+1/2", "-y,z,x+1/2", "-z-1/4,-y+1/4,x+1/4", "y+1/2,-z,x", "z+1/4,y+1/4,x+1/4", "y,z+1/2,-x", "-z-1/4,y-1/4,-x+1/4", "z-1/4,-y+1/4,-x-1/4"], "universal_h_m": "I a -3 d", "number": 230, "schoenflies": "Oh^10", "hall": "-I 4bd 2c 3", "hermann_mauguin": "I a -3 d", "crystal_class": "cubic", "ncsym": ["x,y,z", "-y+1/4,x+3/4,z+1/4", "-x+1/2,-y,z+1/2", "y+1/4,-x+1/4,z+3/4", "x,-y,-z+1/2", "y+1/4,x+3/4,-z+3/4", "-x+1/2,y,-z", "-y+1/4,-x+1/4,-z+1/4", "z,x,y", "-x+1/4,z+3/4,y+1/4", "-z+1/2,-x,y+1/2", "x+1/4,-z+1/4,y+3/4", "z,-x,-y+1/2", "x+1/4,z+3/4,-y+3/4", "-z+1/2,x,-y", "-x+1/4,-z+1/4,-y+1/4", "y,z,x", "y+1/2,-z+1/2,-x", "z+3/4,y+1/4,-x+1/4", "-y,z+1/2,-x+1/2", "-z+1/4,-y+1/4,-x+1/4", "-y+1/2,-z,x+1/2", "z+3/4,-y+3/4,x+1/4", "-z+3/4,y+1/4,x+3/4", "-x,-y,-z", "y-1/4,-x-3/4,-z-1/4", "x-1/2,y,-z-1/2", "-y-1/4,x-1/4,-z-3/4", "-x,y,z-1/2", "-y-1/4,-x-3/4,z-3/4", "x-1/2,-y,z", "y-1/4,x-1/4,z-1/4", "-z,-x,-y", "x-1/4,-z-3/4,-y-1/4", "z-1/2,x,-y-1/2", "-x-1/4,z-1/4,-y-3/4", "-z,x,y-1/2", "-x-1/4,-z-3/4,y-3/4", "z-1/2,-x,y", "x-1/4,z-1/4,y-1/4", "-y,-z,-x", "-y-1/2,z-1/2,x", "-z-3/4,-y-1/4,x-1/4", "y,-z-1/2,x-1/2", "z-1/4,y-1/4,x-1/4", "y-1/2,z,-x-1/2", "-z-3/4,y-3/4,-x-1/4", "z-3/4,-y-1/4,-x-3/4"]}, {"symops": ["x,y,z", "1/2+x,1/2+y,z"], "universal_h_m": "C 1", "number": 1, "schoenflies": "C1^1", "hall": "P 1 (1/2*x+1/2*y,1/2*x-1/2*y,-z)", "hermann_mauguin": "C 1", "crystal_class": "triclinic", "ncsym": ["x, y, z"]}, {"symops": ["x,y,z", "-x,-y,-z", "x,1/2+y,1/2+z", "-x,1/2-y,1/2-z"], "universal_h_m": "A -1", "number": 2, "schoenflies": "Ci^1", "hall": "-P 1 (-x,-1/2*y+1/2*z,1/2*y+1/2*z)", "hermann_mauguin": "A -1", "crystal_class": "triclinic", "ncsym": ["x, y, z", "-x, -y, -z"]}, {"symops": ["x, y, z", "x+1/2, y, z+1/2", "-x, -y, -z", "-x+1/2, -y, -z+1/2"], "universal_h_m": "B -1", "number": 2, "schoenflies": "Ci^1", "hall": "-P 1 (-1/2*x+1/2*z,-y,1/2*x+1/2*z)", "hermann_mauguin": "B -1", "crystal_class": "triclinic", "ncsym": ["x, y, z", "-x, -y, -z"]}, {"symops": ["x,y,z", "1/2-x,1/2-y,1/2-z", "1/2+x,1/2+y,1/2+z", "-x,-y,-z"], "universal_h_m": "I -1", "number": 2, "schoenflies": "D2^4", "hall": "-P 1 (-1/2*x+1/2*y+1/2*z,1/2*x-1/2*y+1/2*z,1/2*x+1/2*y-1/2*z)", "hermann_mauguin": "I -1", "crystal_class": "triclinic", "ncsym": ["x,y,z", "-x,-y,-z"]}, {"symops": ["x, y, z", "y, x, -z+1/2", "x+2/3, y+1/3, z+1/3", "y+2/3, x+1/3, -z+5/6", "x+1/3, y+2/3, z+2/3", "y+1/3, x+2/3, -z+7/6", "-x, -y, -z", "-y, -x, z-1/2", "-x+2/3, -y+1/3, -z+1/3", "-y+2/3, -x+1/3, z-1/6", "-x+1/3, -y+2/3, -z+2/3", "-y+1/3, -x+2/3, z+1/6"], "universal_h_m": "R 1 2/c 1", "number": 15, "schoenflies": "C2h^6", "hall": "-C 2yc (x+y-16/3*z,-x+y+16/3*z,1/3*z)", "hermann_mauguin": "R 1 2/c 1 (\"rhombohedral\" setting)", "crystal_class": "rhombohedral", "ncsym": ["x, y, z", "y, x, -z+1/2", "-x, -y, -z", "-y, -x, z-1/2"]}, {"symops": ["x,y,z", "x+1/2,-y+1/2,-z+1/2", "-x,y+1/2,-z", "-x+1/2,-y,z+1/2"], "universal_h_m": "P 21 21 21 (origin shift x,y,z+1/4)", "number": 19, "schoenflies": "D2^4", "hall": " P 2ac 2ab (x,y,z+1/4)", "hermann_mauguin": "P 21 21 21 (origin shift x,y,z+1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,-y+1/2,-z+1/2", "-x,y+1/2,-z", "-x+1/2,-y,z+1/2"]}, {"symops": ["x, y, z", "-x, y+1/2, -z", "x+1/2, y, z+1/2", "-x+1/2, y+1/2, -z+1/2"], "universal_h_m": "B 1 21 1", "number": 4, "schoenflies": "C2^2", "hall": "P 2yb (1/2*x,y,-1/2*x+z)", "hermann_mauguin": "B 1 21 1", "crystal_class": "monoclinic", "ncsym": ["x, y, z", "-x, y+1/2, -z"]}, {"symops": ["x, y, z", "x+1/2, y+1/2, z", "-x, -y, -z", "-x+1/2, -y+1/2, -z"], "universal_h_m": "C -1", "number": 2, "schoenflies": "Ci^1", "hall": "-P 1 (1/2*x+1/2*y,1/2*x-1/2*y,-z)", "hermann_mauguin": "C -1", "crystal_class": "triclinic", "ncsym": ["x, y, z", "-x, -y, -z"]}, {"symops": ["x,y,z", "-x,y+1/2,-z", "-x,-y,-z", "x,-y-1/2,z", "x+1/2,y,z+1/2", "-x+1/2,y+1/2,-z+1/2", "-x+1/2,-y,-z+1/2", "x+1/2,-y-1/2,z+1/2"], "universal_h_m": "B 1 21/m 1", "number": 11, "schoenflies": "C2h^2", "hall": "-P 2yb (1/2*x,y,-1/2*x+z)", "hermann_mauguin": "B 1 21/m 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,-z", "-x,-y,-z", "x,-y-1/2,z", "x+1/2,y,z+1/2", "-x+1/2,y+1/2,-z+1/2", "-x+1/2,-y,-z+1/2", "x+1/2,-y-1/2,z+1/2"]}, {"symops": ["x,y,z", "x,y+1/2,z+1/2"], "universal_h_m": "P 1 (-a,-b+c,b+c)", "number": 1, "schoenflies": "C1^1", "hall": " P 1 (-x,-1/2*y+1/2*z,1/2*y+1/2*z)", "hermann_mauguin": "P 1 (-a,-b+c,b+c)", "crystal_class": "triclinic", "ncsym": ["x,y,z"]}, {"symops": ["x,y,z", "x+1/2,y,z+1/2"], "universal_h_m": "P 1 (-a+c,-b,a+c)", "number": 1, "schoenflies": "C1^1", "hall": " P 1 (-1/2*x+1/2*z,-y,1/2*x+1/2*z)", "hermann_mauguin": "P 1 (-a+c,-b,a+c)", "crystal_class": "triclinic", "ncsym": ["x,y,z"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,z+1/2"], "universal_h_m": "P 1 (b+c,a+c,a+b)", "number": 1, "schoenflies": "C1^1", "hall": " P 1 (-1/2*x+1/2*y+1/2*z,1/2*x-1/2*y+1/2*z,1/2*x+1/2*y-1/2*z)", "hermann_mauguin": "P 1 (b+c,a+c,a+b)", "crystal_class": "triclinic", "ncsym": ["x,y,z"]}, {"symops": ["x,y,z", "x,y+1/2,z+1/2", "x+1/2,y,z+1/2", "x+1/2,y+1/2,z"], "universal_h_m": "P 1 (-a+b+c,a-b+c,a+b-c)", "number": 1, "schoenflies": "C1^1", "hall": " P 1 (1/2*y+1/2*z,1/2*x+1/2*z,1/2*x+1/2*y)", "hermann_mauguin": "P 1 (-a+b+c,a-b+c,a+b-c)", "crystal_class": "triclinic", "ncsym": ["x,y,z"]}, {"symops": ["x,y,z", "-x,-y,-z", "x,y+1/2,z+1/2", "-x,-y+1/2,-z+1/2", "x+1/2,y,z+1/2", "-x+1/2,-y,-z+1/2", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,-z"], "universal_h_m": "P -1 (-a+b+c,a-b+c,a+b-c)", "number": 2, "schoenflies": "Ci^1", "hall": "-P 1 (1/2*y+1/2*z,1/2*x+1/2*z,1/2*x+1/2*y)", "hermann_mauguin": "P -1 (-a+b+c,a-b+c,a+b-c)", "crystal_class": "triclinic", "ncsym": ["x,y,z", "-x,-y,-z"]}, {"symops": ["x,y,z", "-x,y,-z", "x+1/2,y,z+1/2", "-x+1/2,y,-z+1/2"], "universal_h_m": "P 1 2 1 (2*a+c,b,c)", "number": 3, "schoenflies": "C2^1", "hall": " P 2y (1/2*x,y,-1/2*x+z)", "hermann_mauguin": "P 1 2 1 (2*a+c,b,c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,y,-z", "x+1/2,y,z+1/2", "-x+1/2,y,-z+1/2", "x+1/2,y+1/2,z", "-x+1/2,y+1/2,-z", "x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2"], "universal_h_m": "C 1 2 1 (a,b,a+2*c)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (x-1/2*z,y,1/2*z)", "hermann_mauguin": "C 1 2 1 (a,b,a+2*c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z"], "universal_h_m": "P 1 2 1 (c,2*a+c,b)", "number": 3, "schoenflies": "C2^1", "hall": " P 2y (-1/2*x+z,1/2*x,y)", "hermann_mauguin": "P 1 2 1 (c,2*a+c,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2"], "universal_h_m": "C 1 2 1 (a+2*c,a,b)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (1/2*z,x-1/2*z,y)", "hermann_mauguin": "C 1 2 1 (a+2*c,a,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z"]}, {"symops": ["x,y,z", "-x,y,-z+1/2", "x,y+1/2,z+1/2", "-x,y+1/2,-z"], "universal_h_m": "C 1 2 1 (c-1/4,b-1/4,-a)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (z,y+1/4,-x-1/4)", "hermann_mauguin": "C 1 2 1 (c-1/4,b-1/4,-a)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z", "x+1/2,y+1/2,z", "-x,y+1/2,-z"], "universal_h_m": "C 1 2 1 (a-1/4,b-1/4,c)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (x+1/4,y+1/4,z)", "hermann_mauguin": "C 1 2 1 (a-1/4,b-1/4,c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z+1/2", "x+1/2,y+1/2,z+1/2", "-x,y+1/2,-z"], "universal_h_m": "C 1 2 1 (a+c-1/4,b-1/4,c)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (x+1/4,y+1/4,-x+z-1/4)", "hermann_mauguin": "C 1 2 1 (a+c-1/4,b-1/4,c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z", "x+1/2,y,z+1/2", "-x,y,-z+1/2", "x+1/2,y+1/2,z", "-x,y+1/2,-z", "x,y+1/2,z+1/2", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "C 1 2 1 (a-1/4,b-1/4,a+2*c)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (x-1/2*z+1/4,y+1/4,1/2*z)", "hermann_mauguin": "C 1 2 1 (a-1/4,b-1/4,a+2*c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y+1/2,z", "x,y+1/2,z+1/2", "-x,-y,z+1/2"], "universal_h_m": "C 1 2 1 (c-1/4,a-1/4,b)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (z,x+1/4,y+1/4)", "hermann_mauguin": "C 1 2 1 (c-1/4,a-1/4,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y,z", "x+1/2,y,z+1/2", "-x,-y,z+1/2"], "universal_h_m": "C 1 2 1 (-a-1/4,c-1/4,b)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (-x-1/4,z,y+1/4)", "hermann_mauguin": "C 1 2 1 (-a-1/4,c-1/4,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z+1/2"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z+1/2"], "universal_h_m": "P 1 21 1 (c,2*a+c,b)", "number": 4, "schoenflies": "C2^2", "hall": " P 2yb (-1/2*x+z,1/2*x,y)", "hermann_mauguin": "P 1 21 1 (c,2*a+c,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "x+1/2,y+1/2,z+1/2", "-x,-y,z+1/2"], "universal_h_m": "C 1 2 1 (c-1/4,a+c-1/4,b)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (-x+z-1/4,x+1/4,y+1/4)", "hermann_mauguin": "C 1 2 1 (c-1/4,a+c-1/4,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z+1/2"]}, {"symops": ["x,y,z", "-x,-y+1/2,z", "x+1/2,y+1/2,z", "-x+1/2,-y,z", "x,y+1/2,z+1/2", "-x,-y,z+1/2", "x+1/2,y,z+1/2", "-x+1/2,-y+1/2,z+1/2"], "universal_h_m": "C 1 2 1 (a+2*c-1/4,a-1/4,b)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (1/2*z,x-1/2*z+1/4,y+1/4)", "hermann_mauguin": "C 1 2 1 (a+2*c-1/4,a-1/4,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z+1/2"]}, {"symops": ["x,y,z", "x,-y,z", "x+1/2,y,z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "P 1 m 1 (2*a+c,b,c)", "number": 6, "schoenflies": "Cs^1", "hall": " P -2y (1/2*x,y,-1/2*x+z)", "hermann_mauguin": "P 1 m 1 (2*a+c,b,c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,-y,z", "x+1/2,y,z+1/2", "x+1/2,-y,z+1/2", "x+1/2,y+1/2,z", "x+1/2,-y+1/2,z", "x,y+1/2,z+1/2", "x,-y+1/2,z+1/2"], "universal_h_m": "C 1 m 1 (a,b,a+2*c)", "number": 8, "schoenflies": "Cs^3", "hall": " C -2y (x-1/2*z,y,1/2*z)", "hermann_mauguin": "C 1 m 1 (a,b,a+2*c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x+1/2,y+1/2,z", "x+1/2,y+1/2,-z"], "universal_h_m": "P 1 m 1 (c,2*a+c,b)", "number": 6, "schoenflies": "Cs^1", "hall": " P -2y (-1/2*x+z,1/2*x,y)", "hermann_mauguin": "P 1 m 1 (c,2*a+c,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,y,-z"]}, {"symops": ["x,y,z", "x,y,-z", "x+1/2,y+1/2,z", "x+1/2,y+1/2,-z", "x,y+1/2,z+1/2", "x,y+1/2,-z+1/2", "x+1/2,y,z+1/2", "x+1/2,y,-z+1/2"], "universal_h_m": "C 1 m 1 (a+2*c,a,b)", "number": 8, "schoenflies": "Cs^3", "hall": " C -2y (1/2*z,x-1/2*z,y)", "hermann_mauguin": "C 1 m 1 (a+2*c,a,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,y,-z"]}, {"symops": ["x,y,z", "-x,y,z", "x,y+1/2,z+1/2", "-x,y+1/2,z+1/2"], "universal_h_m": "P 1 m 1 (b,c,2*a+c)", "number": 6, "schoenflies": "Cs^1", "hall": " P -2y (y,-1/2*x+z,1/2*x)", "hermann_mauguin": "P 1 m 1 (b,c,2*a+c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,z"]}, {"symops": ["x,y,z", "-x,y,z", "x,y+1/2,z+1/2", "-x,y+1/2,z+1/2", "x+1/2,y,z+1/2", "-x+1/2,y,z+1/2", "x+1/2,y+1/2,z", "-x+1/2,y+1/2,z"], "universal_h_m": "C 1 m 1 (b,a+2*c,a)", "number": 8, "schoenflies": "Cs^3", "hall": " C -2y (y,1/2*z,x-1/2*z)", "hermann_mauguin": "C 1 m 1 (b,a+2*c,a)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,z"]}, {"symops": ["x,y,z", "x,-y+1/2,z", "x,y+1/2,z+1/2", "x,-y,z+1/2"], "universal_h_m": "C 1 m 1 (c-1/4,b-1/4,-a)", "number": 8, "schoenflies": "Cs^3", "hall": " C -2y (z,y+1/4,-x-1/4)", "hermann_mauguin": "C 1 m 1 (c-1/4,b-1/4,-a)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x,-y,z+1/2", "x+1/2,y,z+1/2", "x+1/2,-y,z"], "universal_h_m": "P 1 c 1 (2*a+c,b,c)", "number": 7, "schoenflies": "Cs^2", "hall": " P -2yc (1/2*x,y,-1/2*x+z)", "hermann_mauguin": "P 1 c 1 (2*a+c,b,c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x,-y+1/2,z", "x+1/2,y,z+1/2", "x+1/2,-y+1/2,z+1/2", "x+1/2,y+1/2,z", "x+1/2,-y,z", "x,y+1/2,z+1/2", "x,-y,z+1/2"], "universal_h_m": "C 1 m 1 (a-1/4,b-1/4,a+2*c)", "number": 8, "schoenflies": "Cs^3", "hall": " C -2y (x-1/2*z+1/4,y+1/4,1/2*z)", "hermann_mauguin": "C 1 m 1 (a-1/4,b-1/4,a+2*c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x,-y+1/2,z", "x+1/2,y+1/2,z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "C 1 m 1 (a+c-1/4,b-1/4,c)", "number": 8, "schoenflies": "Cs^3", "hall": " C -2y (x+1/4,y+1/4,-x+z-1/4)", "hermann_mauguin": "C 1 m 1 (a+c-1/4,b-1/4,c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "x,-y+1/2,z", "x+1/2,y+1/2,z", "x+1/2,-y,z"], "universal_h_m": "C 1 m 1 (a-1/4,b-1/4,c)", "number": 8, "schoenflies": "Cs^3", "hall": " C -2y (x+1/4,y+1/4,z)", "hermann_mauguin": "C 1 m 1 (a-1/4,b-1/4,c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x,y,-z+1/2", "x+1/2,y,z+1/2", "x+1/2,y,-z"], "universal_h_m": "C 1 m 1 (-a-1/4,c-1/4,b)", "number": 8, "schoenflies": "Cs^3", "hall": " C -2y (-x-1/4,z,y+1/4)", "hermann_mauguin": "C 1 m 1 (-a-1/4,c-1/4,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,y,-z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x+1/2,y+1/2,z", "x,y+1/2,-z"], "universal_h_m": "P 1 c 1 (c,2*a+c,b)", "number": 7, "schoenflies": "Cs^2", "hall": " P -2yc (-1/2*x+z,1/2*x,y)", "hermann_mauguin": "P 1 c 1 (c,2*a+c,b)", 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{"symops": ["x,y,z", "-x,y,-z+1/2", "-x,y,z", "x,y,-z+1/2", "x,y+1/2,z+1/2", "-x,y+1/2,-z", "-x,y+1/2,z+1/2", "x,y+1/2,-z"], "universal_h_m": "A m m 2 (-a,c+1/4,b-1/4)", "number": 38, "schoenflies": "C2v^14", "hall": " A 2 -2 (-x,z+1/4,y-1/4)", "hermann_mauguin": "A m m 2 (-a,c+1/4,b-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z", "x+1/2,y,-z", "-x,y,z", "x+1/2,y+1/2,z", "-x,y+1/2,-z", "x,y+1/2,-z", "-x+1/2,y+1/2,z"], "universal_h_m": "A e m 2 (b,c+1/4,a-1/4)", "number": 39, "schoenflies": "C2v^15", "hall": " A 2 -2b (y-1/4,z+1/4,x)", "hermann_mauguin": "A e m 2 (b,c+1/4,a-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z+1/2", "-x,y,z", "x+1/2,y,-z+1/2", "x+1/2,y+1/2,z+1/2", "-x,y+1/2,-z", "-x+1/2,y+1/2,z+1/2", "x,y+1/2,-z"], "universal_h_m": "I m a 2 (-a-1/4,c-1/4,b+1/4)", "number": 46, "schoenflies": "C2v^22", "hall": " I 2 -2a (-x-1/4,z-1/4,y+1/4)", "hermann_mauguin": "I m a 2 (-a-1/4,c-1/4,b+1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,y,-z+1/2", "x,y,-z+1/2", "-x,y,z", "x+1/2,y+1/2,z", "-x+1/2,y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z", "x,y+1/2,z+1/2", "-x,y+1/2,-z", "x,y+1/2,-z", "-x,y+1/2,z+1/2", "x+1/2,y,z+1/2", "-x+1/2,y,-z", "x+1/2,y,-z", "-x+1/2,y,z+1/2"], "universal_h_m": "F m m 2 (b+1/4,c,a+1/4)", "number": 42, "schoenflies": "C2v^18", "hall": " F 2 -2 (y,z-1/4,x-1/4)", "hermann_mauguin": "F m m 2 (b+1/4,c,a+1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "-x+1/2,y,z", "x,-y+1/2,z", "x,y+1/2,z+1/2", "-x+1/2,-y,z+1/2", "-x+1/2,y+1/2,z+1/2", "x,-y,z+1/2", "x+1/2,y,z+1/2", "-x,-y+1/2,z+1/2", "-x,y,z+1/2", "x+1/2,-y+1/2,z+1/2", "x+1/2,y+1/2,z", "-x,-y,z", "-x,y+1/2,z", "x+1/2,-y,z"], "universal_h_m": "F m m 2 (a+1/4,b+1/4,c+1/2)", "number": 42, "schoenflies": "C2v^18", "hall": " F 2 -2 (x-1/4,y-1/4,z+1/2)", "hermann_mauguin": "F m m 2 (a+1/4,b+1/4,c+1/2)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z+1/2", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,y,-z+1/2", "x,y,-z+1/2", "-x+1/2,y,z", "x+1/2,y+1/2,z", "-x,y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2", "-x,y+1/2,z", "x,y+1/2,z+1/2", "-x+1/2,y+1/2,-z", "x,y+1/2,-z", "-x+1/2,y+1/2,z+1/2", "x+1/2,y,z+1/2", "-x,y,-z", "x+1/2,y,-z", "-x,y,z+1/2"], "universal_h_m": "F m m 2 (b+1/4,c+1/4,a+1/2)", "number": 42, "schoenflies": "C2v^18", "hall": " F 2 -2 (y-1/4,z+1/2,x-1/4)", "hermann_mauguin": "F m m 2 (b+1/4,c+1/4,a+1/2)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y+1/2,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "-x+1/2,y,z", "x,-y+1/2,z", "x+1/2,y+1/2,z", "-x,-y,z", "-x,y+1/2,z", "x+1/2,-y,z"], "universal_h_m": "C m m 2 (a-1/4,b-1/4,c)", "number": 35, "schoenflies": "C2v^11", "hall": " C 2 -2 (x+1/4,y+1/4,z)", "hermann_mauguin": "C m m 2 (a-1/4,b-1/4,c)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y,z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z+1/2", "x,y,-z+1/2", "-x+1/2,y,z", "x+1/2,y,z+1/2", "-x,y,-z", "x+1/2,y,-z", "-x,y,z+1/2"], "universal_h_m": "C m m 2 (b-1/4,c-1/4,a)", "number": 35, "schoenflies": "C2v^11", "hall": " C 2 -2 (y+1/4,z,x+1/4)", "hermann_mauguin": "C m m 2 (b-1/4,c-1/4,a)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z+1/2", "-x,y,z+1/2", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y+1/2,z", "-x+1/2,y+1/2,z", "x+1/2,-y,z", "x,y+1/2,z+1/2", "-x,-y,z+1/2", "-x+1/2,y,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "A e a 2 (a,b+1/4,c-1/4)", "number": 41, "schoenflies": "C2v^17", "hall": " A 2 -2ab (x,y-1/4,z+1/4)", "hermann_mauguin": "A e a 2 (a,b+1/4,c-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y,z+1/2", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z+1/2", "x,-y+1/2,z", "-x+1/2,y,z+1/2", "x+1/2,y+1/2,z", "-x,-y,z+1/2", "x+1/2,-y,z", "-x,y+1/2,z+1/2"], "universal_h_m": "C m c 21 (b-1/4,-a-1/4,c)", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2 (y+1/4,-x-1/4,z)", "hermann_mauguin": "C m c 21 (b-1/4,-a-1/4,c)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y,z+1/2", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "-x+1/2,y,z+1/2", "x,-y+1/2,z+1/2", "x+1/2,y+1/2,z+1/2", "-x,-y,z+1/2", "-x,y+1/2,z", "x+1/2,-y,z"], "universal_h_m": "I b a 2 (a-1/4,b-1/4,c+1/4)", "number": 45, "schoenflies": "C2v^21", "hall": " I 2 -2c (x+1/4,y+1/4,z-1/4)", "hermann_mauguin": "I b a 2 (a-1/4,b-1/4,c+1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y,z+1/2", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,-y,z", "x+1/2,-y+1/2,z", "-x,y+1/2,z", "x+1/2,y,z+1/2", "-x,-y,z+1/2", "x,-y+1/2,z+1/2", "-x+1/2,y+1/2,z+1/2"], "universal_h_m": "A e a 2 (b,-a+1/4,c-1/4)", "number": 41, "schoenflies": "C2v^17", "hall": " A 2 -2ab (y-1/4,-x,z+1/4)", "hermann_mauguin": "A e a 2 (b,-a+1/4,c-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x,y+1/2,z", "x,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z+1/2", "-x+1/2,y,z", "x,-y+1/2,z+1/2", "x+1/2,y+1/2,z", "-x,-y,z+1/2", "-x,y+1/2,z", "x+1/2,-y,z+1/2"], "universal_h_m": "C m c 21 (a-1/4,b-1/4,c)", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2 (x+1/4,y+1/4,z)", "hermann_mauguin": "C m c 21 (a-1/4,b-1/4,c)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x,y+1/2,z", "x,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,y+1/2,-z+1/2", "-x+1/2,y,z", "x,y+1/2,-z+1/2", "x+1/2,y,z+1/2", "-x,y+1/2,-z", "-x,y,z+1/2", "x+1/2,y+1/2,-z"], "universal_h_m": "C m c 21 (-a-1/4,c-1/4,b)", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2 (-x-1/4,z,y+1/4)", "hermann_mauguin": "C m c 21 (-a-1/4,c-1/4,b)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z+1/2", "-x,y,z+1/2", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z", "x+1/2,y,-z+1/2", "-x,y,z+1/2", "x+1/2,y+1/2,z", "-x,y+1/2,-z", "x,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2"], "universal_h_m": "A e a 2 (b,c+1/4,a-1/4)", "number": 41, "schoenflies": "C2v^17", "hall": " A 2 -2ab (y-1/4,z+1/4,x)", "hermann_mauguin": "A e a 2 (b,c+1/4,a-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z+1/2", "-x,y,z+1/2", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z+1/2", "x,y+1/2,-z+1/2", "-x+1/2,y+1/2,z", "x+1/2,y+1/2,z+1/2", "-x,y+1/2,-z", "x+1/2,y,-z", "-x,y,z+1/2"], "universal_h_m": "I b a 2 (b-1/4,c-1/4,a+1/4)", "number": 45, "schoenflies": "C2v^21", "hall": " I 2 -2c (y+1/4,z-1/4,x+1/4)", "hermann_mauguin": "I b a 2 (b-1/4,c-1/4,a+1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z+1/2", "-x,y,z+1/2", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,y,-z+1/2", "-x+1/2,y,z+1/2", "x+1/2,y,-z", "x,y+1/2,z+1/2", "-x,y+1/2,-z", "-x+1/2,y+1/2,z", "x+1/2,y+1/2,-z+1/2"], "universal_h_m": "A e a 2 (-a,c+1/4,b-1/4)", "number": 41, "schoenflies": "C2v^17", "hall": " A 2 -2ab (-x,z+1/4,y-1/4)", "hermann_mauguin": "A e a 2 (-a,c+1/4,b-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y+1/2,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,y+1/2,-z+1/2", "x,y,-z+1/2", "-x+1/2,y+1/2,z", "x+1/2,y,z+1/2", "-x,y+1/2,-z", "x+1/2,y,-z", "-x,y+1/2,z+1/2"], "universal_h_m": "C m c 21 (b-1/4,c-1/4,a)", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2 (y+1/4,z,x+1/4)", "hermann_mauguin": "C m c 21 (b-1/4,c-1/4,a)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y+1/2,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "-x+1/2,y,z+1/2", "x,-y+1/2,z+1/2", "x+1/2,y+1/2,z", "-x,-y,z", "-x,y+1/2,z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "C c c 2 (a-1/4,b-1/4,c)", "number": 37, "schoenflies": "C2v^13", "hall": " C 2 -2c (x+1/4,y+1/4,z)", "hermann_mauguin": "C c c 2 (a-1/4,b-1/4,c)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y+1/2,z+1/2", "x,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,y,-z+1/2", "x,y+1/2,-z+1/2", "-x+1/2,y+1/2,z", "x+1/2,y,z+1/2", "-x,y,-z", "x+1/2,y+1/2,-z", "-x,y+1/2,z+1/2"], "universal_h_m": "C c c 2 (b-1/4,c-1/4,a)", "number": 37, "schoenflies": "C2v^13", "hall": " C 2 -2c (y+1/4,z,x+1/4)", "hermann_mauguin": "C c c 2 (b-1/4,c-1/4,a)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "-x+1/2,y+1/2,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "-x,y,z", "x+1/2,-y+1/2,z", "x,y+1/2,z+1/2", "-x+1/2,-y,z+1/2", "-x,y+1/2,z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "A m a 2 (a+1/4,b+1/4,c-1/4)", "number": 40, "schoenflies": "C2v^16", "hall": " A 2 -2a (x-1/4,y-1/4,z+1/4)", "hermann_mauguin": "A m a 2 (a+1/4,b+1/4,c-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y,z+1/2", "-x,y,z", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "-x,-y+1/2,z+1/2", "-x,y,z", "x,-y+1/2,z+1/2", "x+1/2,y+1/2,z", "-x+1/2,-y,z+1/2", "-x+1/2,y+1/2,z", "x+1/2,-y,z+1/2"], "universal_h_m": "C m c 21 (a,b+1/4,c)", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2 (x,y-1/4,z)", "hermann_mauguin": "C m c 21 (a,b+1/4,c)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y,z+1/2", "-x,y,z", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "-x,-y+1/2,z", "-x,y,z", "x,-y+1/2,z", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y,z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "I m m 2 (a,b-1/4,c)", "number": 44, "schoenflies": "C2v^20", "hall": " I 2 -2 (x,y+1/4,z)", "hermann_mauguin": "I m m 2 (a,b-1/4,c)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y,z+1/2", "-x,y,z", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "x,-y,z", "-x+1/2,y+1/2,z", "x+1/2,y,z+1/2", "-x,-y+1/2,z+1/2", "x+1/2,-y,z+1/2", "-x,y+1/2,z+1/2"], "universal_h_m": "A m a 2 (b+1/4,-a+1/4,c-1/4)", "number": 40, "schoenflies": "C2v^16", "hall": " A 2 -2a (y-1/4,-x+1/4,z+1/4)", "hermann_mauguin": "A m a 2 (b+1/4,-a+1/4,c-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y+1/2,z+1/2", "-x,y+1/2,z+1/2", "x,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,-y,z+1/2", "x,-y,z", "-x+1/2,y,z+1/2", "x+1/2,y+1/2,z", "-x,-y+1/2,z+1/2", "x+1/2,-y+1/2,z", "-x,y+1/2,z+1/2"], "universal_h_m": "C m c 21 (b,-a+1/4,c)", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2 (y-1/4,-x,z)", "hermann_mauguin": "C m c 21 (b,-a+1/4,c)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y+1/2,z+1/2", "-x,y+1/2,z+1/2", "x,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,-y,z", "-x+1/2,y,z", "x,-y,z", "x+1/2,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "-x,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "I m m 2 (a-1/4,b,c+1/4)", "number": 44, "schoenflies": "C2v^20", "hall": " I 2 -2 (x+1/4,y,z-1/4)", "hermann_mauguin": "I m m 2 (a-1/4,b,c+1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y+1/2,z+1/2", "-x,y+1/2,z+1/2", "x,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,y+1/2,-z", "x,y,-z", "-x+1/2,y+1/2,z", "x+1/2,y,z+1/2", "-x,y+1/2,-z+1/2", "x+1/2,y,-z+1/2", "-x,y+1/2,z+1/2"], "universal_h_m": "C m c 21 (b,c+1/4,a)", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2 (y-1/4,z,x)", "hermann_mauguin": "C m c 21 (b,c+1/4,a)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,y,-z+1/2", "x,y,-z", "-x+1/2,y,z+1/2", "x+1/2,y+1/2,z", "-x,y+1/2,-z+1/2", "x+1/2,y+1/2,-z", "-x,y+1/2,z+1/2"], "universal_h_m": "A m a 2 (b+1/4,c+1/4,a-1/4)", "number": 40, "schoenflies": "C2v^16", "hall": " A 2 -2a (y-1/4,z+1/4,x-1/4)", "hermann_mauguin": "A m a 2 (b+1/4,c+1/4,a-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,y,-z", "x,y,-z", "-x+1/2,y,z", "x+1/2,y+1/2,z+1/2", "-x,y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2", "-x,y+1/2,z+1/2"], "universal_h_m": "I m m 2 (b,c-1/4,a)", "number": 44, "schoenflies": "C2v^20", "hall": " I 2 -2 (y+1/4,z,x)", "hermann_mauguin": "I m m 2 (b,c-1/4,a)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,y,-z+1/2", "-x,y,z", "x+1/2,y,-z+1/2", "x,y+1/2,z+1/2", "-x+1/2,y+1/2,-z", "-x,y+1/2,z+1/2", "x+1/2,y+1/2,-z"], "universal_h_m": "A m a 2 (-a+1/4,c+1/4,b-1/4)", "number": 40, "schoenflies": "C2v^16", "hall": " A 2 -2a (-x+1/4,z+1/4,y-1/4)", "hermann_mauguin": "A m a 2 (-a+1/4,c+1/4,b-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "-x,y,z", "-x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,y+1/2,-z+1/2", "-x,y,z", "x,y+1/2,-z+1/2", "x+1/2,y,z+1/2", "-x+1/2,y+1/2,-z", "-x+1/2,y,z+1/2", "x+1/2,y+1/2,-z"], "universal_h_m": "C m c 21 (-a,c+1/4,b)", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2 (-x,z,y-1/4)", "hermann_mauguin": "C m c 21 (-a,c+1/4,b)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "-x,y,z", "-x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,y,-z+1/2", "x,y,-z+1/2", "-x,y,z", "x+1/2,y+1/2,z+1/2", "-x+1/2,y+1/2,-z", "x+1/2,y+1/2,-z", "-x+1/2,y+1/2,z+1/2"], "universal_h_m": "I m m 2 (b-1/4,c,a+1/4)", "number": 44, "schoenflies": "C2v^20", "hall": " I 2 -2 (y,z-1/4,x+1/4)", "hermann_mauguin": "I m m 2 (b-1/4,c,a+1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "-x,y,z", "-x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y+1/2,z", "-x+1/2,y,z", "x+1/2,-y+1/2,z", "x,y+1/2,z+1/2", "-x,-y,z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "A m a 2 (a,b+1/4,c-1/4)", "number": 40, "schoenflies": "C2v^16", "hall": " A 2 -2a (x,y-1/4,z+1/4)", "hermann_mauguin": "A m a 2 (a,b+1/4,c-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z"]}, {"symops": ["x,y,z", "-x+1/2,-y,z", "x,-y+1/2,z", "-x+1/2,y+1/2,z", "x+1/2,y,z+1/2", "-x,-y,z+1/2", "x+1/2,-y+1/2,z+1/2", "-x,y+1/2,z+1/2"], "universal_h_m": "A m a 2 (b,-a+1/4,c-1/4)", "number": 40, "schoenflies": "C2v^16", "hall": " A 2 -2a (y-1/4,-x,z+1/4)", "hermann_mauguin": "A m a 2 (b,-a+1/4,c-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,y,-z", "x,y,-z+1/2", "-x+1/2,y,z+1/2", "x+1/2,y+1/2,z", "-x,y+1/2,-z", "x+1/2,y+1/2,-z+1/2", "-x,y+1/2,z+1/2"], "universal_h_m": "A m a 2 (b,c+1/4,a-1/4)", "number": 40, "schoenflies": "C2v^16", "hall": " A 2 -2a (y-1/4,z+1/4,x)", "hermann_mauguin": "A m a 2 (b,c+1/4,a-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y,z+1/2", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,y,-z+1/2", "-x+1/2,y,z", "x+1/2,y,-z+1/2", "x,y+1/2,z+1/2", "-x,y+1/2,-z", "-x+1/2,y+1/2,z+1/2", "x+1/2,y+1/2,-z"], "universal_h_m": "A m a 2 (-a,c+1/4,b-1/4)", "number": 40, "schoenflies": "C2v^16", "hall": " A 2 -2a (-x,z+1/4,y-1/4)", "hermann_mauguin": "A m a 2 (-a,c+1/4,b-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "x,-y,-z", "-x,y,-z", "-x,-y,z", "-x+1/2,-y,-z", "-x+1/2,y,z", "x+1/2,-y,z", "x+1/2,y,-z", "x,y+1/2,z+1/2", "x,-y+1/2,-z+1/2", "-x,y+1/2,-z+1/2", "-x,-y+1/2,z+1/2", "-x+1/2,-y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2"], "universal_h_m": "C c c m (c,a,b-1/4)", "number": 66, "schoenflies": "D2h^20", "hall": "-C 2 2c (z+1/4,x,y)", "hermann_mauguin": "C c c m (c,a,b-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "-x,y,-z", "-x,-y,z", "x,-y,-z", "-x,-y+1/2,-z", "x,-y+1/2,z", "x,y+1/2,-z", "-x,y+1/2,z", "x+1/2,y,z+1/2", "-x+1/2,y,-z+1/2", "-x+1/2,-y,z+1/2", "x+1/2,-y,-z+1/2", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,-y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2"], "universal_h_m": "C c c m (b,c,a-1/4)", "number": 66, "schoenflies": "D2h^20", "hall": "-C 2 2c (y,z+1/4,x)", "hermann_mauguin": "C c c m (b,c,a-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "-x,-y,-z+1/2", "x,y,-z+1/2", "-x,y,z+1/2", "x,-y,z+1/2", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z", "x+1/2,-y+1/2,-z", "-x+1/2,y+1/2,-z", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "C c c m (a,b,c-1/4)", "number": 66, "schoenflies": "D2h^20", "hall": "-C 2 2c (x,y,z+1/4)", "hermann_mauguin": "C c c m (a,b,c-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "x,-y+1/2,-z+1/2", "-x+1/2,y,-z+1/2", 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"-x+1/2,y+1/2,z+1/2", "-y+1/2,-x+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2", "y+1/2,x+1/2,z+1/2"]}, {"symops": ["x,y,z", "x,-y,z+1/2", "x+1/2,y,z+1/2", "x+1/2,-y,z", "x+1/4,y+1/2,z+3/4", "x+1/4,-y+1/2,z+1/4", "x+3/4,y+1/2,z+1/4", "x+3/4,-y+1/2,z+3/4"], "universal_h_m": "C 1 c 1 (2*a+c,b,c)", "number": 9, "schoenflies": "Cs^4", "hall": " C -2yc (1/2*x,y,-1/2*x+z)", "hermann_mauguin": "C 1 c 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z+1/2", "x+1/2,y,z+1/2", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x,y,z", "x,-y,z+1/2", "-x,-y,z+1/2", "x+1/2,y,z", "-x+1/2,y,z", "x+1/2,-y,z+1/2", "-x+1/2,-y,z+1/2"], "universal_h_m": "P m c 21 (2*a,b,c)", "number": 26, "schoenflies": "C2v^2", "hall": " P 2c -2 (1/2*x,y,z)", "hermann_mauguin": "P m c 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,y,z", "x,-y,z+1/2", "-x,-y,z+1/2"]}, {"symops": ["x,y,z", "x,-y,z", "x,y,-z", "x,-y,-z", "x,y+1/2,z+1/2", "x,-y+1/2,z+1/2", "x,y+1/2,-z+1/2", "x,-y+1/2,-z+1/2", "x+1/2,y,z", "x+1/2,-y,z", "x+1/2,y,-z", "x+1/2,-y,-z", "x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2", "x+1/2,-y+1/2,-z+1/2"], "universal_h_m": "C m m 2 (2*c,a,b)", "number": 35, "schoenflies": "C2v^11", "hall": " C 2 -2 (1/2*z,x,y)", "hermann_mauguin": "C m m 2", "crystal_class": "orthorombic", "ncsym": ["x,y,z", "x,-y,z", "x,y,-z", "x,-y,-z"]}, {"symops": ["x,y,z", "-x+1/4,-y,z+1/2", "-x,-y,-z", "x-1/4,y,-z-1/2", "x+3/4,y+1/2,z", "-x+1,-y+1/2,z+1/2", "-x+3/4,-y+1/2,-z", "x+1/2,y+1/2,-z-1/2", "x+1/4,y+1/2,z", "-x+1/2,-y+1/2,z+1/2", "-x+1/4,-y+1/2,-z", "x,y+1/2,-z-1/2", "x+1/2,y,z", "-x+3/4,-y,z+1/2", "-x+1/2,-y,-z", "x+1/4,y,-z-1/2"], "universal_h_m": "P 1 21/c 1 (2*c,2*a+c,b)", "number": 14, "schoenflies": "C2h^5", "hall": "-P 2ybc (-1/4*x+1/2*z,1/2*x,y)", "hermann_mauguin": "P 1 21/c 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/4,-y,z+1/2", "-x,-y,-z", "x-1/4,y,-z-1/2"]}, {"symops": ["x,y,z", "-x,y,z", "x,y,-z+1/2", "-x,y,-z+1/2", "-x,-y,-z", "x,-y,-z", "-x,-y,z-1/2", "x,-y,z-1/2", "x+1/2,y,z", "-x+1/2,y,z", "x+1/2,y,-z+1/2", "-x+1/2,y,-z+1/2", "-x+1/2,-y,-z", "x+1/2,-y,-z", "-x+1/2,-y,z-1/2", "x+1/2,-y,z-1/2"], "universal_h_m": "P m m a (2*b,c,a)", "number": 51, "schoenflies": "D2h^5", "hall": "-P 2a 2a (1/2*y,z,x)", "hermann_mauguin": "P m m a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,y,z", "x,y,-z+1/2", "-x,y,-z+1/2", "-x,-y,-z", "x,-y,-z", "-x,-y,z-1/2", "x,-y,z-1/2"]}, {"symops": ["x,y,z", "-x,y,z", "x,y,-z", "-x,y,-z", "x+1/2,y,z", "-x+1/2,y,z", "x+1/2,y,-z", "-x+1/2,y,-z", "-x,-y+2/3,-z+1/2", "x,-y+2/3,-z+1/2", "-x,-y+2/3,z+1/2", "x,-y+2/3,z+1/2", "-x+1/2,-y+2/3,-z+1/2", "x+1/2,-y+2/3,-z+1/2", "-x+1/2,-y+2/3,z+1/2", "x+1/2,-y+2/3,z+1/2"], "universal_h_m": "P m m a (2*b+1/4,c,a-1/3)", "number": 51, "schoenflies": "D2h^5", "hall": "-P 2a 2a (1/2*y,z+1/3,x-1/4)", "hermann_mauguin": "P m m a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,y,z", "x,y,-z", "-x,y,-z", "x+1/2,y,z", "-x+1/2,y,z", "x+1/2,y,-z", "-x+1/2,y,-z"]}, {"symops": ["x,y,z", "-x,y,-z+1/2", "x,y+1/2,z", "-x,y+1/2,-z+1/2", "-x,-y,-z", "x,-y,z+1/2", "-x,-y+1/2,-z", "x,-y+1/2,z+1/2"], "universal_h_m": "P 1 2/c 1 (a,2*b,c)", "number": 13, "schoenflies": "C2h^4", "hall": "-P 2yc (x,1/2*y,z)", "hermann_mauguin": "P 1 2/c 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z+1/2", "x,y+1/2,z", "-x,y+1/2,-z+1/2"]}, {"symops": ["x,y,z", "-x,y,z", "x,-y,z", "-x,-y,z", "x+1/2,y,z", "-x+1/2,y,z", "x+1/2,-y,z", "-x+1/2,-y,z", "x,y+1/2,z", "-x,y+1/2,z", "x,-y+1/2,z", "-x,-y+1/2,z", "x+1/2,y+1/2,z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z", "-x+1/2,-y+1/2,z", "-x,-y,-z", "x,-y,-z", "-x,y,-z", "x,y,-z", "-x+1/2,-y,-z", "x+1/2,-y,-z", "-x+1/2,y,-z", "x+1/2,y,-z", "-x,-y+1/2,-z", "x,-y+1/2,-z", "-x,y+1/2,-z", "x,y+1/2,-z", "-x+1/2,-y+1/2,-z", "x+1/2,-y+1/2,-z", "-x+1/2,y+1/2,-z", "x+1/2,y+1/2,-z"], "universal_h_m": "P m m m (2*a,2*b,c)", "number": 47, "schoenflies": "D2h^1", "hall": "-P 2 2 (1/2*x,1/2*y,z)", "hermann_mauguin": "P m m m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,y,z", "x,-y,z", "-x,-y,z", "x+1/2,y,z", "-x+1/2,y,z", "x+1/2,-y,z", "-x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,y+1/2,-z"], "universal_h_m": "P 1 21 1 (a-1/4,b,c)", "number": 4, "schoenflies": "C2^2", "hall": " P 2yb (x+1/4,y,z)", "hermann_mauguin": "P 1 21 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,y+1/2,-z", "-x,-y,z+1/2", "x+1/2,-y+1/2,-z+1/2", "-x,-y,-z+1/2", "x+1/2,-y+1/2,z+1/2", "x,y,-z", "-x+1/2,y+1/2,z"], "universal_h_m": "P n m a (c,a-1/4,b)", "number": 62, "schoenflies": "D2h^16", "hall": "-P 2ac 2n (z,x,y+1/4)", "hermann_mauguin": "P n m a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,y+1/2,-z", "-x,-y,z+1/2", "x+1/2,-y+1/2,-z+1/2", "-x,-y,-z+1/2", "x+1/2,-y+1/2,z+1/2", "x,y,-z", "-x+1/2,y+1/2,z"]}] +[{"symops": ["x,y,z"], "universal_h_m": "P 1", "number": 1, "schoenflies": "C1^1", "hall": " P 1", "hermann_mauguin": "P 1", "crystal_class": "triclinic", "ncsym": ["x,y,z"]}, {"symops": ["x,y,z", "-x,-y,-z"], "universal_h_m": "P -1", "number": 2, "schoenflies": "Ci^1", "hall": "-P 1", "hermann_mauguin": "P -1", "crystal_class": "triclinic", "ncsym": ["x,y,z", "-x,-y,-z"]}, {"symops": ["x,y,z", "-x,y,-z"], "universal_h_m": "P 1 2 1", "number": 3, "schoenflies": "C2^1", "hall": " P 2y", "hermann_mauguin": "P 1 2 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z"], "universal_h_m": "P 1 1 2", "number": 3, "schoenflies": "C2^1", "hall": " P 2", "hermann_mauguin": "P 1 1 2", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z"]}, {"symops": ["x,y,z", "x,-y,-z"], "universal_h_m": "P 2 1 1", "number": 3, "schoenflies": "C2^1", "hall": " P 2x", "hermann_mauguin": "P 2 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z"]}, {"symops": ["x,y,z", "-x,y+1/2,-z"], "universal_h_m": "P 1 21 1", "number": 4, "schoenflies": "C2^2", "hall": " P 2yb", "hermann_mauguin": "P 1 21 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y,z+1/2"], "universal_h_m": "P 1 1 21", "number": 4, "schoenflies": "C2^2", "hall": " P 2c", "hermann_mauguin": "P 1 1 21", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,-y,-z"], "universal_h_m": "P 21 1 1", "number": 4, "schoenflies": "C2^2", "hall": " P 2xa", "hermann_mauguin": "P 21 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,-z"]}, {"symops": ["x,y,z", "-x,y,-z", "x+1/2,y+1/2,z", "-x+1/2,y+1/2,-z"], "universal_h_m": "C 1 2 1", "number": 5, "schoenflies": "C2^3", "hall": " C 2y", "hermann_mauguin": "C 1 2 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,y,-z", "x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2"], "universal_h_m": "A 1 2 1", "number": 5, "schoenflies": "C2^3", "hall": " A 2y", "hermann_mauguin": "A 1 2 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,y,-z", "x+1/2,y+1/2,z+1/2", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "I 1 2 1", "number": 5, "schoenflies": "C2^3", "hall": " I 2y", "hermann_mauguin": "I 1 2 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2"], "universal_h_m": "A 1 1 2", "number": 5, "schoenflies": "C2^3", "hall": " A 2", "hermann_mauguin": "A 1 1 2", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2"], "universal_h_m": "B 1 1 2", "number": 5, "schoenflies": "C2^3", "hall": " B 2", "hermann_mauguin": "B 1 1 2", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y+1/2,z+1/2"], "universal_h_m": "I 1 1 2", "number": 5, "schoenflies": "C2^3", "hall": " I 2", "hermann_mauguin": "I 1 1 2", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z"]}, {"symops": ["x,y,z", "x,-y,-z", "x+1/2,y,z+1/2", "x+1/2,-y,-z+1/2"], "universal_h_m": "B 2 1 1", "number": 5, "schoenflies": "C2^3", "hall": " B 2x", "hermann_mauguin": "B 2 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z"]}, {"symops": ["x,y,z", "x,-y,-z", "x+1/2,y+1/2,z", "x+1/2,-y+1/2,-z"], "universal_h_m": "C 2 1 1", "number": 5, "schoenflies": "C2^3", "hall": " C 2x", "hermann_mauguin": "C 2 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z"]}, {"symops": ["x,y,z", "x,-y,-z", "x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,-z+1/2"], "universal_h_m": "I 2 1 1", "number": 5, "schoenflies": "C2^3", "hall": " I 2x", "hermann_mauguin": "I 2 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z"]}, {"symops": ["x,y,z", "x,-y,z"], "universal_h_m": "P 1 m 1", "number": 6, "schoenflies": "Cs^1", "hall": " P -2y", "hermann_mauguin": "P 1 m 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z"], "universal_h_m": "P 1 1 m", "number": 6, "schoenflies": "Cs^1", "hall": " P -2", "hermann_mauguin": "P 1 1 m", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,y,-z"]}, {"symops": ["x,y,z", "-x,y,z"], "universal_h_m": "P m 1 1", "number": 6, "schoenflies": "Cs^1", "hall": " P -2x", "hermann_mauguin": "P m 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,z"]}, {"symops": ["x,y,z", "x,-y,z+1/2"], "universal_h_m": "P 1 c 1", "number": 7, "schoenflies": "Cs^2", "hall": " P -2yc", "hermann_mauguin": "P 1 c 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,-y,z+1/2"], "universal_h_m": "P 1 n 1", "number": 7, "schoenflies": "Cs^2", "hall": " P -2yac", "hermann_mauguin": "P 1 n 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,-y,z"], "universal_h_m": "P 1 a 1", "number": 7, "schoenflies": "Cs^2", "hall": " P -2ya", "hermann_mauguin": "P 1 a 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x+1/2,y,-z"], "universal_h_m": "P 1 1 a", "number": 7, "schoenflies": "Cs^2", "hall": " P -2a", "hermann_mauguin": "P 1 1 a", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,y,-z"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z"], "universal_h_m": "P 1 1 n", "number": 7, "schoenflies": "Cs^2", "hall": " P -2ab", "hermann_mauguin": "P 1 1 n", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "x,y+1/2,-z"], "universal_h_m": "P 1 1 b", "number": 7, "schoenflies": "Cs^2", "hall": " P -2b", "hermann_mauguin": "P 1 1 b", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,y+1/2,z"], "universal_h_m": "P b 1 1", "number": 7, "schoenflies": "Cs^2", "hall": " P -2xb", "hermann_mauguin": "P b 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,z"]}, {"symops": ["x,y,z", "-x,y+1/2,z+1/2"], "universal_h_m": "P n 1 1", "number": 7, "schoenflies": "Cs^2", "hall": " P -2xbc", "hermann_mauguin": "P n 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,z+1/2"]}, {"symops": ["x,y,z", "-x,y,z+1/2"], "universal_h_m": "P c 1 1", "number": 7, "schoenflies": "Cs^2", "hall": " P -2xc", "hermann_mauguin": "P c 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,z+1/2"]}, {"symops": ["x,y,z", "x,-y,z", "x+1/2,y+1/2,z", "x+1/2,-y+1/2,z"], "universal_h_m": "C 1 m 1", "number": 8, "schoenflies": "Cs^3", "hall": " C -2y", "hermann_mauguin": "C 1 m 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,-y,z", "x,y+1/2,z+1/2", "x,-y+1/2,z+1/2"], "universal_h_m": "A 1 m 1", "number": 8, "schoenflies": "Cs^3", "hall": " A -2y", "hermann_mauguin": "A 1 m 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,-y,z", "x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "I 1 m 1", "number": 8, "schoenflies": "Cs^3", "hall": " I -2y", "hermann_mauguin": "I 1 m 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x,y+1/2,z+1/2", "x,y+1/2,-z+1/2"], "universal_h_m": "A 1 1 m", "number": 8, "schoenflies": "Cs^3", "hall": " A -2", "hermann_mauguin": "A 1 1 m", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,y,-z"]}, {"symops": ["x,y,z", "x,y,-z", "x+1/2,y,z+1/2", "x+1/2,y,-z+1/2"], "universal_h_m": "B 1 1 m", "number": 8, "schoenflies": "Cs^3", "hall": " B -2", "hermann_mauguin": "B 1 1 m", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,y,-z"]}, {"symops": ["x,y,z", "x,y,-z", "x+1/2,y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2"], "universal_h_m": "I 1 1 m", "number": 8, "schoenflies": "Cs^3", "hall": " I -2", "hermann_mauguin": "I 1 1 m", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,y,-z"]}, {"symops": ["x,y,z", "-x,y,z", "x+1/2,y,z+1/2", "-x+1/2,y,z+1/2"], "universal_h_m": "B m 1 1", "number": 8, "schoenflies": "Cs^3", "hall": " B -2x", "hermann_mauguin": "B m 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,z"]}, {"symops": ["x,y,z", "-x,y,z", "x+1/2,y+1/2,z", "-x+1/2,y+1/2,z"], "universal_h_m": "C m 1 1", "number": 8, "schoenflies": "Cs^3", "hall": " C -2x", "hermann_mauguin": "C m 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,z"]}, {"symops": ["x,y,z", "-x,y,z", "x+1/2,y+1/2,z+1/2", "-x+1/2,y+1/2,z+1/2"], "universal_h_m": "I m 1 1", "number": 8, "schoenflies": "Cs^3", "hall": " I -2x", "hermann_mauguin": "I m 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,z"]}, {"symops": ["x,y,z", "x,-y,z+1/2", "x+1/2,y+1/2,z", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "C 1 c 1", "number": 9, "schoenflies": "Cs^4", "hall": " C -2yc", "hermann_mauguin": "C 1 c 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,-y+1/2,z", "x,y+1/2,z+1/2", "x+1/2,-y+1,z+1/2"], "universal_h_m": "A 1 n 1", "number": 9, "schoenflies": "Cs^4", "hall": " A -2yab", "hermann_mauguin": "A 1 n 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y+1/2,z"]}, {"symops": ["x,y,z", "x+1/2,-y,z", "x+1/2,y+1/2,z+1/2", "x+1,-y+1/2,z+1/2"], "universal_h_m": "I 1 a 1", "number": 9, "schoenflies": "Cs^4", "hall": " I -2ya", "hermann_mauguin": "I 1 a 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x+1/2,-y,z", "x,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "A 1 a 1", "number": 9, "schoenflies": "Cs^4", "hall": " A -2ya", "hermann_mauguin": "A 1 a 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x+1/2,-y,z+1/2", "x+1/2,y+1/2,z", "x+1,-y+1/2,z+1/2"], "universal_h_m": "C 1 n 1", "number": 9, "schoenflies": "Cs^4", "hall": " C -2yac", "hermann_mauguin": "C 1 n 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "x,-y,z+1/2", "x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1"], "universal_h_m": "I 1 c 1", "number": 9, "schoenflies": "Cs^4", "hall": " I -2yc", "hermann_mauguin": "I 1 c 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x,y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2"], "universal_h_m": "A 1 1 a", "number": 9, "schoenflies": "Cs^4", "hall": " A -2a", "hermann_mauguin": "A 1 1 a", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,y,-z"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z", "x+1/2,y,z+1/2", "x+1,y+1/2,-z+1/2"], "universal_h_m": "B 1 1 n", "number": 9, "schoenflies": "Cs^4", "hall": " B -2ab", "hermann_mauguin": "B 1 1 n", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "x+1/2,y+1/2,z+1/2", "x+1/2,y+1,-z+1/2"], "universal_h_m": "I 1 1 b", "number": 9, "schoenflies": "Cs^4", "hall": " I -2b", "hermann_mauguin": "I 1 1 b", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,y+1/2,-z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "x+1/2,y,z+1/2", "x+1/2,y+1/2,-z+1/2"], "universal_h_m": "B 1 1 b", "number": 9, "schoenflies": "Cs^4", "hall": " B -2b", "hermann_mauguin": "B 1 1 b", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,y+1/2,-z"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z", "x,y+1/2,z+1/2", "x+1/2,y+1,-z+1/2"], "universal_h_m": "A 1 1 n", "number": 9, "schoenflies": "Cs^4", "hall": " A -2ab", "hermann_mauguin": "A 1 1 n", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x+1/2,y+1/2,z+1/2", "x+1,y+1/2,-z+1/2"], "universal_h_m": "I 1 1 a", "number": 9, "schoenflies": "Cs^4", "hall": " I -2a", "hermann_mauguin": "I 1 1 a", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,y,-z"]}, {"symops": ["x,y,z", "-x,y+1/2,z", "x+1/2,y,z+1/2", "-x+1/2,y+1/2,z+1/2"], "universal_h_m": "B b 1 1", "number": 9, "schoenflies": "Cs^4", "hall": " B -2xb", "hermann_mauguin": "B b 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,z"]}, {"symops": ["x,y,z", "-x+1/2,y,z+1/2", "x+1/2,y+1/2,z", "-x+1,y+1/2,z+1/2"], "universal_h_m": "C n 1 1", "number": 9, "schoenflies": "Cs^4", "hall": " C -2xac", "hermann_mauguin": "C n 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y,z+1/2"]}, {"symops": ["x,y,z", "-x,y,z+1/2", "x+1/2,y+1/2,z+1/2", "-x+1/2,y+1/2,z+1"], "universal_h_m": "I c 1 1", "number": 9, "schoenflies": "Cs^4", "hall": " I -2xc", "hermann_mauguin": "I c 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,z+1/2"]}, {"symops": ["x,y,z", "-x,y,z+1/2", "x+1/2,y+1/2,z", "-x+1/2,y+1/2,z+1/2"], "universal_h_m": "C c 1 1", "number": 9, "schoenflies": "Cs^4", "hall": " C -2xc", "hermann_mauguin": "C c 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,y+1/2,z", "x+1/2,y,z+1/2", "-x+1,y+1/2,z+1/2"], "universal_h_m": "B n 1 1", "number": 9, "schoenflies": "Cs^4", "hall": " B -2xab", "hermann_mauguin": "B n 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y+1/2,z"]}, {"symops": ["x,y,z", "-x,y+1/2,z", "x+1/2,y+1/2,z+1/2", "-x+1/2,y+1,z+1/2"], "universal_h_m": "I b 1 1", "number": 9, "schoenflies": "Cs^4", "hall": " I -2xb", "hermann_mauguin": "I b 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,z"]}, {"symops": ["x,y,z", "-x,y,-z", "-x,-y,-z", "x,-y,z"], "universal_h_m": "P 1 2/m 1", "number": 10, "schoenflies": "C2h^1", "hall": "-P 2y", "hermann_mauguin": "P 1 2/m 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z", "-x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z"], "universal_h_m": "P 1 1 2/m", "number": 10, "schoenflies": "C2h^1", "hall": "-P 2", "hermann_mauguin": "P 1 1 2/m", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z"]}, {"symops": ["x,y,z", "x,-y,-z", "-x,-y,-z", "-x,y,z"], "universal_h_m": "P 2/m 1 1", "number": 10, "schoenflies": "C2h^1", "hall": "-P 2x", "hermann_mauguin": "P 2/m 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z", "-x,-y,-z", "-x,y,z"]}, {"symops": ["x,y,z", "-x,y+1/2,-z", "-x,-y,-z", "x,-y-1/2,z"], "universal_h_m": "P 1 21/m 1", "number": 11, "schoenflies": "C2h^2", "hall": "-P 2yb", "hermann_mauguin": "P 1 21/m 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,-z", "-x,-y,-z", "x,-y-1/2,z"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "-x,-y,-z", "x,y,-z-1/2"], "universal_h_m": "P 1 1 21/m", "number": 11, "schoenflies": "C2h^2", "hall": "-P 2c", "hermann_mauguin": "P 1 1 21/m", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x,-y,-z", "x,y,-z-1/2"]}, {"symops": ["x,y,z", "x+1/2,-y,-z", "-x,-y,-z", "-x-1/2,y,z"], "universal_h_m": "P 21/m 1 1", "number": 11, "schoenflies": "C2h^2", "hall": "-P 2xa", "hermann_mauguin": "P 21/m 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,-z", "-x,-y,-z", "-x-1/2,y,z"]}, {"symops": ["x,y,z", "-x,y,-z", "-x,-y,-z", "x,-y,z", "x+1/2,y+1/2,z", "-x+1/2,y+1/2,-z", "-x+1/2,-y+1/2,-z", "x+1/2,-y+1/2,z"], "universal_h_m": "C 1 2/m 1", "number": 12, "schoenflies": "C2h^3", "hall": "-C 2y", "hermann_mauguin": "C 1 2/m 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z", "-x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "-x,y,-z", "-x,-y,-z", "x,-y,z", "x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2", "-x,-y+1/2,-z+1/2", "x,-y+1/2,z+1/2"], "universal_h_m": "A 1 2/m 1", "number": 12, "schoenflies": "C2h^3", "hall": "-A 2y", "hermann_mauguin": "A 1 2/m 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z", "-x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "-x,y,-z", "-x,-y,-z", "x,-y,z", "x+1/2,y+1/2,z+1/2", "-x+1/2,y+1/2,-z+1/2", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "I 1 2/m 1", "number": 12, "schoenflies": "C2h^3", "hall": "-I 2y", "hermann_mauguin": "I 1 2/m 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z", "-x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "-x,-y+1/2,-z+1/2", "x,y+1/2,-z+1/2"], "universal_h_m": "A 1 1 2/m", "number": 12, "schoenflies": "C2h^3", "hall": "-A 2", "hermann_mauguin": "A 1 1 2/m", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "-x+1/2,-y,-z+1/2", "x+1/2,y,-z+1/2"], "universal_h_m": "B 1 1 2/m", "number": 12, "schoenflies": "C2h^3", "hall": "-B 2", "hermann_mauguin": "B 1 1 2/m", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y+1/2,z+1/2", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2"], "universal_h_m": "I 1 1 2/m", "number": 12, "schoenflies": "C2h^3", "hall": "-I 2", "hermann_mauguin": "I 1 1 2/m", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z"]}, {"symops": ["x,y,z", "x,-y,-z", "-x,-y,-z", "-x,y,z", "x+1/2,y,z+1/2", "x+1/2,-y,-z+1/2", "-x+1/2,-y,-z+1/2", "-x+1/2,y,z+1/2"], "universal_h_m": "B 2/m 1 1", "number": 12, "schoenflies": "C2h^3", "hall": "-B 2x", "hermann_mauguin": "B 2/m 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z", "-x,-y,-z", "-x,y,z"]}, {"symops": ["x,y,z", "x,-y,-z", "-x,-y,-z", "-x,y,z", "x+1/2,y+1/2,z", "x+1/2,-y+1/2,-z", "-x+1/2,-y+1/2,-z", "-x+1/2,y+1/2,z"], "universal_h_m": "C 2/m 1 1", "number": 12, "schoenflies": "C2h^3", "hall": "-C 2x", "hermann_mauguin": "C 2/m 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z", "-x,-y,-z", "-x,y,z"]}, {"symops": ["x,y,z", "x,-y,-z", "-x,-y,-z", "-x,y,z", "x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,-z+1/2", "-x+1/2,-y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2"], "universal_h_m": "I 2/m 1 1", "number": 12, "schoenflies": "C2h^3", "hall": "-I 2x", "hermann_mauguin": "I 2/m 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z", "-x,-y,-z", "-x,y,z"]}, {"symops": ["x,y,z", "-x,y,-z+1/2", "-x,-y,-z", "x,-y,z-1/2"], "universal_h_m": "P 1 2/c 1", "number": 13, "schoenflies": "C2h^4", "hall": "-P 2yc", 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"-x+1/2,-y+1/2,z", "-x,-y,-z", "x-1/2,y-1/2,-z"], "universal_h_m": "P 1 1 2/n", "number": 13, "schoenflies": "C2h^4", "hall": "-P 2ab", "hermann_mauguin": "P 1 1 2/n", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,-y+1/2,z", "-x,-y,-z", "x-1/2,y-1/2,-z"]}, {"symops": ["x,y,z", "-x,-y+1/2,z", "-x,-y,-z", "x,y-1/2,-z"], "universal_h_m": "P 1 1 2/b", "number": 13, "schoenflies": "C2h^4", "hall": "-P 2b", "hermann_mauguin": "P 1 1 2/b", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y+1/2,z", "-x,-y,-z", "x,y-1/2,-z"]}, {"symops": ["x,y,z", "x,-y+1/2,-z", "-x,-y,-z", "-x,y-1/2,z"], "universal_h_m": "P 2/b 1 1", "number": 13, "schoenflies": "C2h^4", "hall": "-P 2xb", "hermann_mauguin": "P 2/b 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y+1/2,-z", "-x,-y,-z", "-x,y-1/2,z"]}, {"symops": ["x,y,z", "x,-y+1/2,-z+1/2", "-x,-y,-z", "-x,y-1/2,z-1/2"], "universal_h_m": "P 2/n 1 1", "number": 13, "schoenflies": "C2h^4", "hall": "-P 2xbc", "hermann_mauguin": "P 2/n 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y+1/2,-z+1/2", "-x,-y,-z", "-x,y-1/2,z-1/2"]}, {"symops": ["x,y,z", "x,-y,-z+1/2", "-x,-y,-z", "-x,y,z-1/2"], "universal_h_m": "P 2/c 1 1", "number": 13, "schoenflies": "C2h^4", "hall": "-P 2xc", "hermann_mauguin": "P 2/c 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z+1/2", "-x,-y,-z", "-x,y,z-1/2"]}, {"symops": ["x,y,z", "-x,y+1/2,-z+1/2", "-x,-y,-z", "x,-y-1/2,z-1/2"], "universal_h_m": "P 1 21/c 1", "number": 14, "schoenflies": "C2h^5", "hall": "-P 2ybc", "hermann_mauguin": "P 1 21/c 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,-z+1/2", "-x,-y,-z", "x,-y-1/2,z-1/2"]}, {"symops": ["x,y,z", "-x+1/2,y+1/2,-z+1/2", "-x,-y,-z", "x-1/2,-y-1/2,z-1/2"], "universal_h_m": "P 1 21/n 1", "number": 14, "schoenflies": "C2h^5", "hall": "-P 2yn", "hermann_mauguin": "P 1 21/n 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y+1/2,-z+1/2", "-x,-y,-z", "x-1/2,-y-1/2,z-1/2"]}, {"symops": ["x,y,z", "-x+1/2,y+1/2,-z", "-x,-y,-z", "x-1/2,-y-1/2,z"], "universal_h_m": "P 1 21/a 1", "number": 14, "schoenflies": "C2h^5", "hall": "-P 2yab", "hermann_mauguin": "P 1 21/a 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y+1/2,-z", "-x,-y,-z", "x-1/2,-y-1/2,z"]}, {"symops": ["x,y,z", "-x+1/2,-y,z+1/2", "-x,-y,-z", "x-1/2,y,-z-1/2"], "universal_h_m": "P 1 1 21/a", "number": 14, "schoenflies": "C2h^5", "hall": "-P 2ac", "hermann_mauguin": "P 1 1 21/a", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,-y,z+1/2", "-x,-y,-z", "x-1/2,y,-z-1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z+1/2", "-x,-y,-z", "x-1/2,y-1/2,-z-1/2"], "universal_h_m": "P 1 1 21/n", "number": 14, "schoenflies": "C2h^5", "hall": "-P 2n", "hermann_mauguin": "P 1 1 21/n", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,-y+1/2,z+1/2", "-x,-y,-z", "x-1/2,y-1/2,-z-1/2"]}, {"symops": ["x,y,z", "-x,-y+1/2,z+1/2", "-x,-y,-z", "x,y-1/2,-z-1/2"], "universal_h_m": "P 1 1 21/b", "number": 14, 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"ncsym": ["x,y,z", "x+1/2,-y,-z+1/2", "-x,-y,-z", "-x-1/2,y,z-1/2"]}, {"symops": ["x,y,z", "-x,y,-z+1/2", "-x,-y,-z", "x,-y,z-1/2", "x+1/2,y+1/2,z", "-x+1/2,y+1/2,-z+1/2", "-x+1/2,-y+1/2,-z", "x+1/2,-y+1/2,z-1/2"], "universal_h_m": "C 1 2/c 1", "number": 15, "schoenflies": "C2h^6", "hall": "-C 2yc", "hermann_mauguin": "C 1 2/c 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z+1/2", "-x,-y,-z", "x,-y,z-1/2"]}, {"symops": ["x,y,z", "-x+1/2,y+1/2,-z", "-x,-y,-z", "x-1/2,-y-1/2,z", "x,y+1/2,z+1/2", "-x+1/2,y+1,-z+1/2", "-x,-y+1/2,-z+1/2", "x-1/2,-y,z+1/2"], "universal_h_m": "A 1 2/n 1", "number": 15, "schoenflies": "C2h^6", "hall": "-A 2yab", "hermann_mauguin": "A 1 2/n 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y+1/2,-z", "-x,-y,-z", "x-1/2,-y-1/2,z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z", "-x,-y,-z", "x-1/2,-y,z", "x+1/2,y+1/2,z+1/2", "-x+1,y+1/2,-z+1/2", "-x+1/2,-y+1/2,-z+1/2", "x,-y+1/2,z+1/2"], "universal_h_m": "I 1 2/a 1", "number": 15, "schoenflies": "C2h^6", "hall": "-I 2ya", "hermann_mauguin": "I 1 2/a 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y,-z", "-x,-y,-z", "x-1/2,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z", "-x,-y,-z", "x-1/2,-y,z", "x,y+1/2,z+1/2", "-x+1/2,y+1/2,-z+1/2", "-x,-y+1/2,-z+1/2", "x-1/2,-y+1/2,z+1/2"], "universal_h_m": "A 1 2/a 1", "number": 15, "schoenflies": "C2h^6", "hall": "-A 2ya", "hermann_mauguin": "A 1 2/a 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y,-z", "-x,-y,-z", "x-1/2,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z+1/2", "-x,-y,-z", "x-1/2,-y,z-1/2", "x+1/2,y+1/2,z", "-x+1,y+1/2,-z+1/2", "-x+1/2,-y+1/2,-z", "x,-y+1/2,z-1/2"], "universal_h_m": "C 1 2/n 1", "number": 15, "schoenflies": "C2h^6", "hall": "-C 2yac", "hermann_mauguin": "C 1 2/n 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y,-z+1/2", "-x,-y,-z", "x-1/2,-y,z-1/2"]}, {"symops": ["x,y,z", "-x,y,-z+1/2", "-x,-y,-z", "x,-y,z-1/2", "x+1/2,y+1/2,z+1/2", "-x+1/2,y+1/2,-z+1", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,-y+1/2,z"], "universal_h_m": "I 1 2/c 1", "number": 15, "schoenflies": "C2h^6", "hall": "-I 2yc", "hermann_mauguin": "I 1 2/c 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z+1/2", "-x,-y,-z", "x,-y,z-1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y,z", "-x,-y,-z", "x-1/2,y,-z", "x,y+1/2,z+1/2", "-x+1/2,-y+1/2,z+1/2", "-x,-y+1/2,-z+1/2", "x-1/2,y+1/2,-z+1/2"], "universal_h_m": "A 1 1 2/a", "number": 15, "schoenflies": "C2h^6", "hall": "-A 2a", "hermann_mauguin": "A 1 1 2/a", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,-y,z", "-x,-y,-z", "x-1/2,y,-z"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "-x,-y,-z", "x-1/2,y-1/2,-z", "x+1/2,y,z+1/2", "-x+1,-y+1/2,z+1/2", "-x+1/2,-y,-z+1/2", "x,y-1/2,-z+1/2"], "universal_h_m": "B 1 1 2/n", "number": 15, "schoenflies": "C2h^6", "hall": "-B 2ab", "hermann_mauguin": "B 1 1 2/n", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,-y+1/2,z", "-x,-y,-z", "x-1/2,y-1/2,-z"]}, {"symops": ["x,y,z", "-x,-y+1/2,z", "-x,-y,-z", "x,y-1/2,-z", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y+1,z+1/2", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,y,-z+1/2"], "universal_h_m": "I 1 1 2/b", "number": 15, "schoenflies": "C2h^6", "hall": "-I 2b", "hermann_mauguin": "I 1 1 2/b", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y+1/2,z", "-x,-y,-z", "x,y-1/2,-z"]}, {"symops": ["x,y,z", "-x,-y+1/2,z", "-x,-y,-z", "x,y-1/2,-z", "x+1/2,y,z+1/2", "-x+1/2,-y+1/2,z+1/2", "-x+1/2,-y,-z+1/2", "x+1/2,y-1/2,-z+1/2"], "universal_h_m": "B 1 1 2/b", "number": 15, "schoenflies": "C2h^6", "hall": "-B 2b", "hermann_mauguin": "B 1 1 2/b", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y+1/2,z", "-x,-y,-z", "x,y-1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "-x,-y,-z", "x-1/2,y-1/2,-z", "x,y+1/2,z+1/2", "-x+1/2,-y+1,z+1/2", "-x,-y+1/2,-z+1/2", "x-1/2,y,-z+1/2"], "universal_h_m": "A 1 1 2/n", "number": 15, "schoenflies": "C2h^6", "hall": "-A 2ab", "hermann_mauguin": "A 1 1 2/n", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,-y+1/2,z", "-x,-y,-z", "x-1/2,y-1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,-y,z", "-x,-y,-z", "x-1/2,y,-z", "x+1/2,y+1/2,z+1/2", "-x+1,-y+1/2,z+1/2", "-x+1/2,-y+1/2,-z+1/2", "x,y+1/2,-z+1/2"], "universal_h_m": "I 1 1 2/a", "number": 15, "schoenflies": "C2h^6", "hall": "-I 2a", "hermann_mauguin": "I 1 1 2/a", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,-y,z", "-x,-y,-z", "x-1/2,y,-z"]}, {"symops": ["x,y,z", "x,-y+1/2,-z", "-x,-y,-z", "-x,y-1/2,z", "x+1/2,y,z+1/2", "x+1/2,-y+1/2,-z+1/2", "-x+1/2,-y,-z+1/2", "-x+1/2,y-1/2,z+1/2"], "universal_h_m": "B 2/b 1 1", "number": 15, "schoenflies": "C2h^6", "hall": "-B 2xb", "hermann_mauguin": "B 2/b 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y+1/2,-z", "-x,-y,-z", "-x,y-1/2,z"]}, {"symops": ["x,y,z", "x+1/2,-y,-z+1/2", "-x,-y,-z", "-x-1/2,y,z-1/2", "x+1/2,y+1/2,z", "x+1,-y+1/2,-z+1/2", "-x+1/2,-y+1/2,-z", "-x,y+1/2,z-1/2"], "universal_h_m": "C 2/n 1 1", "number": 15, "schoenflies": "C2h^6", "hall": "-C 2xac", "hermann_mauguin": "C 2/n 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,-z+1/2", "-x,-y,-z", "-x-1/2,y,z-1/2"]}, {"symops": ["x,y,z", "x,-y,-z+1/2", "-x,-y,-z", "-x,y,z-1/2", "x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,-z+1", "-x+1/2,-y+1/2,-z+1/2", "-x+1/2,y+1/2,z"], "universal_h_m": "I 2/c 1 1", "number": 15, "schoenflies": "C2h^6", "hall": "-I 2xc", "hermann_mauguin": "I 2/c 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z+1/2", "-x,-y,-z", "-x,y,z-1/2"]}, {"symops": ["x,y,z", "x,-y,-z+1/2", "-x,-y,-z", "-x,y,z-1/2", "x+1/2,y+1/2,z", "x+1/2,-y+1/2,-z+1/2", "-x+1/2,-y+1/2,-z", "-x+1/2,y+1/2,z-1/2"], "universal_h_m": "C 2/c 1 1", "number": 15, "schoenflies": "C2h^6", "hall": "-C 2xc", "hermann_mauguin": "C 2/c 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z+1/2", "-x,-y,-z", "-x,y,z-1/2"]}, {"symops": ["x,y,z", "x+1/2,-y+1/2,-z", "-x,-y,-z", "-x-1/2,y-1/2,z", "x+1/2,y,z+1/2", "x+1,-y+1/2,-z+1/2", "-x+1/2,-y,-z+1/2", "-x,y-1/2,z+1/2"], "universal_h_m": "B 2/n 1 1", "number": 15, "schoenflies": "C2h^6", "hall": "-B 2xab", "hermann_mauguin": "B 2/n 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y+1/2,-z", "-x,-y,-z", "-x-1/2,y-1/2,z"]}, {"symops": ["x,y,z", "x,-y+1/2,-z", "-x,-y,-z", "-x,y-1/2,z", "x+1/2,y+1/2,z+1/2", "x+1/2,-y+1,-z+1/2", "-x+1/2,-y+1/2,-z+1/2", "-x+1/2,y,z+1/2"], "universal_h_m": "I 2/b 1 1", "number": 15, "schoenflies": "C2h^6", "hall": "-I 2xb", "hermann_mauguin": "I 2/b 1 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y+1/2,-z", "-x,-y,-z", "-x,y-1/2,z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z"], "universal_h_m": "P 2 2 2", "number": 16, "schoenflies": "D2^1", "hall": " P 2 2", "hermann_mauguin": "P 2 2 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "x,-y,-z", "-x,y,-z+1/2"], "universal_h_m": "P 2 2 21", "number": 17, "schoenflies": "D2^2", "hall": " P 2c 2", "hermann_mauguin": "P 2 2 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "x,-y,-z", "-x,y,-z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y,z", "x+1/2,-y,-z", "-x,y,-z"], "universal_h_m": "P 21 2 2", "number": 17, "schoenflies": "D2^2", "hall": " P 2a 2a", "hermann_mauguin": "P 21 2 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y,z", "x+1/2,-y,-z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y+1/2,-z", "-x,y+1/2,-z"], "universal_h_m": "P 2 21 2", "number": 17, "schoenflies": "D2^2", "hall": " P 2 2b", "hermann_mauguin": "P 2 21 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y+1/2,-z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x+1/2,-y+1/2,-z", "-x+1/2,y+1/2,-z"], "universal_h_m": "P 21 21 2", "number": 18, "schoenflies": "D2^3", "hall": " P 2 2ab", "hermann_mauguin": "P 21 21 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x+1/2,-y+1/2,-z", "-x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y+1/2,z+1/2", "x,-y,-z", "-x,y+1/2,-z+1/2"], "universal_h_m": "P 2 21 21", "number": 18, "schoenflies": "D2^3", "hall": " P 2bc 2", "hermann_mauguin": "P 2 21 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y+1/2,z+1/2", "x,-y,-z", "-x,y+1/2,-z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y,z+1/2", "x+1/2,-y,-z+1/2", "-x,y,-z"], "universal_h_m": "P 21 2 21", "number": 18, "schoenflies": "D2^3", "hall": " P 2ac 2ac", "hermann_mauguin": "P 21 2 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y,z+1/2", "x+1/2,-y,-z+1/2", "-x,y,-z"]}, {"symops": ["x,y,z", "-x+1/2,-y,z+1/2", "x+1/2,-y+1/2,-z", "-x,y+1/2,-z+1/2"], "universal_h_m": "P 21 21 21", "number": 19, "schoenflies": "D2^4", "hall": " P 2ac 2ab", "hermann_mauguin": "P 21 21 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y,z+1/2", "x+1/2,-y+1/2,-z", "-x,y+1/2,-z+1/2"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "x,-y,-z", "-x,y,-z+1/2", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z+1/2", "x+1/2,-y+1/2,-z", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "C 2 2 21", "number": 20, "schoenflies": "D2^5", "hall": " C 2c 2", "hermann_mauguin": "C 2 2 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "x,-y,-z", "-x,y,-z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y,z", "x+1/2,-y,-z", "-x,y,-z", "x,y+1/2,z+1/2", "-x+1/2,-y+1/2,z+1/2", "x+1/2,-y+1/2,-z+1/2", "-x,y+1/2,-z+1/2"], "universal_h_m": "A 21 2 2", "number": 20, "schoenflies": "D2^5", "hall": " A 2a 2a", "hermann_mauguin": "A 21 2 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y,z", "x+1/2,-y,-z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y+1/2,-z", "-x,y+1/2,-z", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "x+1/2,-y+1/2,-z+1/2", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "B 2 21 2", "number": 20, "schoenflies": "D2^5", "hall": " B 2 2b", "hermann_mauguin": "B 2 21 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y+1/2,-z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z", "x+1/2,-y+1/2,-z", "-x+1/2,y+1/2,-z"], "universal_h_m": "C 2 2 2", "number": 21, "schoenflies": "D2^6", "hall": " C 2 2", "hermann_mauguin": "C 2 2 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "x,-y+1/2,-z+1/2", "-x,y+1/2,-z+1/2"], "universal_h_m": "A 2 2 2", "number": 21, "schoenflies": "D2^6", "hall": " A 2 2", "hermann_mauguin": "A 2 2 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "x+1/2,-y,-z+1/2", "-x+1/2,y,-z+1/2"], "universal_h_m": "B 2 2 2", "number": 21, "schoenflies": "D2^6", "hall": " B 2 2", "hermann_mauguin": "B 2 2 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "x,-y+1/2,-z+1/2", "-x,y+1/2,-z+1/2", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "x+1/2,-y,-z+1/2", "-x+1/2,y,-z+1/2", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z", "x+1/2,-y+1/2,-z", "-x+1/2,y+1/2,-z"], "universal_h_m": "F 2 2 2", "number": 22, "schoenflies": "D2^7", "hall": " F 2 2", "hermann_mauguin": "F 2 2 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y+1/2,z+1/2", "x+1/2,-y+1/2,-z+1/2", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "I 2 2 2", "number": 23, "schoenflies": "D2^8", "hall": " I 2 2", "hermann_mauguin": "I 2 2 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y+1/2,z", "x,-y,-z+1/2", "-x,y+1/2,-z+1/2", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y+1,z+1/2", "x+1/2,-y+1/2,-z+1", "-x+1/2,y+1,-z+1"], "universal_h_m": "I 21 21 21", "number": 24, "schoenflies": "D2^9", "hall": " I 2b 2c", "hermann_mauguin": "I 21 21 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y+1/2,z", "x,-y,-z+1/2", "-x,y+1/2,-z+1/2"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z"], "universal_h_m": "P m m 2", "number": 25, "schoenflies": "C2v^1", "hall": " P 2 -2", "hermann_mauguin": "P m m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z"], "universal_h_m": "P 2 m m", "number": 25, "schoenflies": "C2v^1", "hall": " P -2 2", "hermann_mauguin": "P 2 m m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z"], "universal_h_m": "P m 2 m", "number": 25, "schoenflies": "C2v^1", "hall": " P -2 -2", "hermann_mauguin": "P m 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "-x,y,z", "x,-y,z+1/2"], "universal_h_m": "P m c 21", "number": 26, "schoenflies": "C2v^2", "hall": " P 2c -2", "hermann_mauguin": "P m c 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x,y,z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "-x,y,z+1/2", "x,-y,z"], "universal_h_m": "P c m 21", "number": 26, "schoenflies": "C2v^2", "hall": " P 2c -2c", "hermann_mauguin": "P c m 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x,y,z+1/2", "x,-y,z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x+1/2,-y,-z", "x,-y,z"], "universal_h_m": "P 21 m a", "number": 26, "schoenflies": "C2v^2", "hall": " P -2a 2a", "hermann_mauguin": "P 21 m a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "x+1/2,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x+1/2,-y,-z", "x+1/2,-y,z"], "universal_h_m": "P 21 a m", "number": 26, "schoenflies": "C2v^2", "hall": " P -2 2a", "hermann_mauguin": "P 21 a m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "x+1/2,-y,-z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "-x,y+1/2,z", "-x,y+1/2,-z"], "universal_h_m": "P b 21 m", "number": 26, "schoenflies": "C2v^2", "hall": " P -2 -2b", "hermann_mauguin": "P b 21 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y+1/2,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "-x,y,z", "-x,y+1/2,-z"], "universal_h_m": "P m 21 b", "number": 26, "schoenflies": "C2v^2", "hall": " P -2b -2", "hermann_mauguin": "P m 21 b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y,z+1/2", "x,-y,z+1/2"], "universal_h_m": "P c c 2", "number": 27, "schoenflies": "C2v^3", "hall": " P 2 -2c", "hermann_mauguin": "P c c 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z+1/2", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z"], "universal_h_m": "P 2 a a", "number": 27, "schoenflies": "C2v^3", "hall": " P -2a 2", "hermann_mauguin": "P 2 a a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "-x,y+1/2,z", "-x,y,-z"], "universal_h_m": "P b 2 b", "number": 27, "schoenflies": "C2v^3", "hall": " P -2b -2b", "hermann_mauguin": "P b 2 b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y+1/2,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/2,y,z", "x+1/2,-y,z"], "universal_h_m": "P m a 2", "number": 28, "schoenflies": "C2v^4", "hall": " P 2 -2a", "hermann_mauguin": "P m a 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y,z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y+1/2,z", "x,-y+1/2,z"], "universal_h_m": "P b m 2", "number": 28, "schoenflies": "C2v^4", "hall": " P 2 -2b", "hermann_mauguin": "P b m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y+1/2,z", "x,-y+1/2,z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "x,-y,-z", "x,-y+1/2,z"], "universal_h_m": "P 2 m b", "number": 28, "schoenflies": "C2v^4", "hall": " P -2b 2", "hermann_mauguin": "P 2 m b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "x,-y,-z", "x,-y+1/2,z"]}, {"symops": ["x,y,z", "x,y,-z+1/2", "x,-y,-z", "x,-y,z+1/2"], "universal_h_m": "P 2 c m", "number": 28, "schoenflies": "C2v^4", "hall": " P -2c 2", "hermann_mauguin": "P 2 c m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z+1/2", "x,-y,-z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x,y,-z+1/2", "-x,y,z+1/2", "-x,y,-z"], "universal_h_m": "P c 2 m", "number": 28, "schoenflies": "C2v^4", "hall": " P -2c -2c", "hermann_mauguin": "P c 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z+1/2", "-x,y,z+1/2", "-x,y,-z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y,z", "-x,y,-z"], "universal_h_m": "P m 2 a", "number": 28, "schoenflies": "C2v^4", "hall": " P -2a -2a", "hermann_mauguin": "P m 2 a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y,z+1/2", "x+1/2,-y,z"], "universal_h_m": "P c a 21", "number": 29, "schoenflies": "C2v^5", "hall": " P 2c -2ac", "hermann_mauguin": "P c a 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y,z+1/2", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "-x,y+1/2,z", "x,-y+1/2,z+1/2"], "universal_h_m": "P b c 21", "number": 29, "schoenflies": "C2v^5", "hall": " P 2c -2b", "hermann_mauguin": "P b c 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x,y+1/2,z", "x,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "x+1/2,-y,-z", "x+1/2,-y+1/2,z"], "universal_h_m": "P 21 a b", "number": 29, "schoenflies": "C2v^5", "hall": " P -2b 2a", "hermann_mauguin": "P 21 a b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "x+1/2,-y,-z", "x+1/2,-y+1/2,z"]}, {"symops": ["x,y,z", "x+1/2,y,-z+1/2", "x+1/2,-y,-z", "x,-y,z+1/2"], "universal_h_m": "P 21 c a", "number": 29, "schoenflies": "C2v^5", "hall": " P -2ac 2a", "hermann_mauguin": "P 21 c a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z+1/2", "x+1/2,-y,-z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x,y+1/2,-z+1/2", "-x,y,z+1/2", "-x,y+1/2,-z"], "universal_h_m": "P c 21 b", "number": 29, "schoenflies": "C2v^5", "hall": " P -2bc -2c", "hermann_mauguin": "P c 21 b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z+1/2", "-x,y,z+1/2", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y+1/2,z", "-x,y+1/2,-z"], "universal_h_m": "P b 21 a", "number": 29, "schoenflies": "C2v^5", "hall": " P -2a -2ab", "hermann_mauguin": "P b 21 a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y+1/2,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y+1/2,z+1/2", "x,-y+1/2,z+1/2"], "universal_h_m": "P n c 2", "number": 30, "schoenflies": "C2v^6", "hall": " P 2 -2bc", "hermann_mauguin": "P n c 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y+1/2,z+1/2", "x,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/2,y,z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "P c n 2", "number": 30, "schoenflies": "C2v^6", "hall": " P 2 -2ac", "hermann_mauguin": "P c n 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y,z+1/2", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y,-z+1/2", "x,-y,-z", "x+1/2,-y,z+1/2"], "universal_h_m": "P 2 n a", "number": 30, "schoenflies": "C2v^6", "hall": " P -2ac 2", "hermann_mauguin": "P 2 n a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z+1/2", "x,-y,-z", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z", "x,-y,-z", "x+1/2,-y+1/2,z"], "universal_h_m": "P 2 a n", "number": 30, "schoenflies": "C2v^6", "hall": " P -2ab 2", "hermann_mauguin": "P 2 a n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "x,-y,-z", "x+1/2,-y+1/2,z"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z", "-x+1/2,y+1/2,z", "-x,y,-z"], "universal_h_m": "P b 2 n", "number": 30, "schoenflies": "C2v^6", "hall": " P -2ab -2ab", "hermann_mauguin": "P b 2 n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "-x+1/2,y+1/2,z", "-x,y,-z"]}, {"symops": ["x,y,z", "x,y+1/2,-z+1/2", "-x,y+1/2,z+1/2", "-x,y,-z"], "universal_h_m": "P n 2 b", "number": 30, "schoenflies": "C2v^6", "hall": " P -2bc -2bc", "hermann_mauguin": "P n 2 b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z+1/2", "-x,y+1/2,z+1/2", "-x,y,-z"]}, {"symops": ["x,y,z", "-x+1/2,-y,z+1/2", "-x,y,z", "x+1/2,-y,z+1/2"], "universal_h_m": "P m n 21", "number": 31, "schoenflies": "C2v^7", "hall": " P 2ac -2", "hermann_mauguin": "P m n 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y,z+1/2", "-x,y,z", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "-x,-y+1/2,z+1/2", "-x,y+1/2,z+1/2", "x,-y,z"], "universal_h_m": "P n m 21", "number": 31, "schoenflies": "C2v^7", "hall": " P 2bc -2bc", "hermann_mauguin": "P n m 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y+1/2,z+1/2", "-x,y+1/2,z+1/2", "x,-y,z"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z", "x+1/2,-y+1/2,-z", "x,-y,z"], "universal_h_m": "P 21 m n", "number": 31, "schoenflies": "C2v^7", "hall": " P -2ab 2ab", "hermann_mauguin": "P 21 m n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "x+1/2,-y+1/2,-z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x+1/2,-y,-z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "P 21 n m", "number": 31, "schoenflies": "C2v^7", "hall": " P -2 2ac", "hermann_mauguin": "P 21 n m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "x+1/2,-y,-z+1/2", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "x,y,-z", "-x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2"], "universal_h_m": "P n 21 m", "number": 31, "schoenflies": "C2v^7", "hall": " P -2 -2bc", "hermann_mauguin": "P n 21 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z", "-x,y,z", "-x+1/2,y+1/2,-z"], "universal_h_m": "P m 21 n", "number": 31, "schoenflies": "C2v^7", "hall": " P -2ab -2", "hermann_mauguin": "P m 21 n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "-x,y,z", "-x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z"], "universal_h_m": "P b a 2", "number": 32, "schoenflies": "C2v^8", "hall": " P 2 -2ab", "hermann_mauguin": "P b a 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z"]}, {"symops": ["x,y,z", "x,y+1/2,-z+1/2", "x,-y,-z", "x,-y+1/2,z+1/2"], "universal_h_m": "P 2 c b", "number": 32, "schoenflies": "C2v^8", "hall": " P -2bc 2", "hermann_mauguin": "P 2 c b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z+1/2", "x,-y,-z", "x,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y,-z+1/2", "-x+1/2,y,z+1/2", "-x,y,-z"], "universal_h_m": "P c 2 a", "number": 32, "schoenflies": "C2v^8", "hall": " P -2ac -2ac", "hermann_mauguin": "P c 2 a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z+1/2", "-x+1/2,y,z+1/2", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z"], "universal_h_m": "P n a 21", "number": 33, "schoenflies": "C2v^9", "hall": " P 2c -2n", "hermann_mauguin": "P n a 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "P b n 21", "number": 33, "schoenflies": "C2v^9", "hall": " P 2c -2ab", "hermann_mauguin": "P b n 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "x,y+1/2,-z+1/2", "x+1/2,-y,-z", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "P 21 n b", "number": 33, "schoenflies": "C2v^9", "hall": " P -2bc 2a", "hermann_mauguin": "P 21 n b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z+1/2", "x+1/2,-y,-z", "x+1/2,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z+1/2", "x+1/2,-y,-z", "x,-y+1/2,z+1/2"], "universal_h_m": "P 21 c n", "number": 33, "schoenflies": "C2v^9", "hall": " P -2n 2a", "hermann_mauguin": "P 21 c n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z+1/2", "x+1/2,-y,-z", "x,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y,z+1/2", "-x,y+1/2,-z"], "universal_h_m": "P c 21 n", "number": 33, "schoenflies": "C2v^9", "hall": " P -2n -2ac", "hermann_mauguin": "P c 21 n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y,z+1/2", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "x+1/2,y,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x,y+1/2,-z"], "universal_h_m": "P n 21 a", "number": 33, "schoenflies": "C2v^9", "hall": " P -2ac -2n", "hermann_mauguin": "P n 21 a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "P n n 2", "number": 34, "schoenflies": "C2v^10", "hall": " P 2 -2n", "hermann_mauguin": "P n n 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z+1/2", "x,-y,-z", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "P 2 n n", "number": 34, "schoenflies": "C2v^10", "hall": " P -2n 2", "hermann_mauguin": "P 2 n n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z+1/2", "x,-y,-z", "x+1/2,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x,y,-z"], "universal_h_m": "P n 2 n", "number": 34, "schoenflies": "C2v^10", "hall": " P -2n -2n", "hermann_mauguin": "P n 2 n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z"], "universal_h_m": "C m m 2", "number": 35, "schoenflies": "C2v^11", "hall": " C 2 -2", "hermann_mauguin": "C m m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z", "x,y+1/2,z+1/2", "x,y+1/2,-z+1/2", "x,-y+1/2,-z+1/2", "x,-y+1/2,z+1/2"], "universal_h_m": "A 2 m m", "number": 35, "schoenflies": "C2v^11", "hall": " A -2 2", "hermann_mauguin": "A 2 m m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z", "x+1/2,y,z+1/2", "x+1/2,y,-z+1/2", "-x+1/2,y,z+1/2", "-x+1/2,y,-z+1/2"], "universal_h_m": "B m 2 m", "number": 35, "schoenflies": "C2v^11", "hall": " B -2 -2", "hermann_mauguin": "B m 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "-x,y,z", "x,-y,z+1/2", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z+1/2", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "C m c 21", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2", "hermann_mauguin": "C m c 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x,y,z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "-x,y,z+1/2", "x,-y,z", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z"], "universal_h_m": "C c m 21", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2c", "hermann_mauguin": "C c m 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x,y,z+1/2", "x,-y,z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x+1/2,-y,-z", "x,-y,z", "x,y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2", "x+1/2,-y+1/2,-z+1/2", "x,-y+1/2,z+1/2"], "universal_h_m": "A 21 m a", "number": 36, "schoenflies": "C2v^12", "hall": " A -2a 2a", "hermann_mauguin": "A 21 m a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "x+1/2,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x+1/2,-y,-z", "x+1/2,-y,z", "x,y+1/2,z+1/2", "x,y+1/2,-z+1/2", "x+1/2,-y+1/2,-z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "A 21 a m", "number": 36, "schoenflies": "C2v^12", "hall": " A -2 2a", "hermann_mauguin": "A 21 a m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "x+1/2,-y,-z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "-x,y+1/2,z", "-x,y+1/2,-z", "x+1/2,y,z+1/2", "x+1/2,y,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "B b 21 m", "number": 36, "schoenflies": "C2v^12", "hall": " B -2 -2b", "hermann_mauguin": "B b 21 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y+1/2,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "-x,y,z", "-x,y+1/2,-z", "x+1/2,y,z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y,z+1/2", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "B m 21 b", "number": 36, "schoenflies": "C2v^12", "hall": " B -2b -2", "hermann_mauguin": "B m 21 b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y,z+1/2", "x,-y,z+1/2", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "C c c 2", "number": 37, "schoenflies": "C2v^13", "hall": " C 2 -2c", "hermann_mauguin": "C c c 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z+1/2", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z", "x,y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2", "x,-y+1/2,-z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "A 2 a a", "number": 37, "schoenflies": "C2v^13", "hall": " A -2a 2", "hermann_mauguin": "A 2 a a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "-x,y+1/2,z", "-x,y,-z", "x+1/2,y,z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x+1/2,y,-z+1/2"], "universal_h_m": "B b 2 b", "number": 37, "schoenflies": "C2v^13", "hall": " B -2b -2b", "hermann_mauguin": "B b 2 b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y+1/2,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "-x,y+1/2,z+1/2", "x,-y+1/2,z+1/2"], "universal_h_m": "A m m 2", "number": 38, "schoenflies": "C2v^14", "hall": " A 2 -2", "hermann_mauguin": "A m m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "-x+1/2,y,z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "B m m 2", "number": 38, "schoenflies": "C2v^14", "hall": " B 2 -2", "hermann_mauguin": "B m m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z", "x+1/2,y,z+1/2", "x+1/2,y,-z+1/2", "x+1/2,-y,-z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "B 2 m m", "number": 38, "schoenflies": "C2v^14", "hall": " B -2 2", "hermann_mauguin": "B 2 m m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z", "x+1/2,y+1/2,z", "x+1/2,y+1/2,-z", "x+1/2,-y+1/2,-z", "x+1/2,-y+1/2,z"], "universal_h_m": "C 2 m m", "number": 38, "schoenflies": "C2v^14", "hall": " C -2 2", "hermann_mauguin": "C 2 m m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z", "x+1/2,y+1/2,z", "x+1/2,y+1/2,-z", "-x+1/2,y+1/2,z", "-x+1/2,y+1/2,-z"], "universal_h_m": "C m 2 m", "number": 38, "schoenflies": "C2v^14", "hall": " C -2 -2", "hermann_mauguin": "C m 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z", "x,y+1/2,z+1/2", "x,y+1/2,-z+1/2", "-x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2"], "universal_h_m": "A m 2 m", "number": 38, "schoenflies": "C2v^14", "hall": " A -2 -2", "hermann_mauguin": "A m 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y+1/2,z", "x,-y+1/2,z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "-x,y+1,z+1/2", "x,-y+1,z+1/2"], "universal_h_m": "A e m 2", "number": 39, "schoenflies": "C2v^15", "hall": " A 2 -2b", "hermann_mauguin": "A e m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y+1/2,z", "x,-y+1/2,z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/2,y,z", "x+1/2,-y,z", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "-x+1,y,z+1/2", "x+1,-y,z+1/2"], "universal_h_m": "B m e 2", "number": 39, "schoenflies": "C2v^15", "hall": " B 2 -2a", "hermann_mauguin": "B m e 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y,z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z", "x+1/2,y,z+1/2", "x+1,y,-z+1/2", "x+1/2,-y,-z+1/2", "x+1,-y,z+1/2"], "universal_h_m": "B 2 e m", "number": 39, "schoenflies": "C2v^15", "hall": " B -2a 2", "hermann_mauguin": "B 2 e m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z", "x+1/2,y+1/2,z", "x+1,y+1/2,-z", "x+1/2,-y+1/2,-z", "x+1,-y+1/2,z"], "universal_h_m": "C 2 m e", "number": 39, "schoenflies": "C2v^15", "hall": " C -2a 2", "hermann_mauguin": "C 2 m e", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y,z", "-x,y,-z", "x+1/2,y+1/2,z", "x+1,y+1/2,-z", "-x+1,y+1/2,z", "-x+1/2,y+1/2,-z"], "universal_h_m": "C m 2 e", "number": 39, "schoenflies": "C2v^15", "hall": " C -2a -2a", "hermann_mauguin": "C m 2 e", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "-x,y+1/2,z", "-x,y,-z", "x,y+1/2,z+1/2", "x,y+1,-z+1/2", "-x,y+1,z+1/2", "-x,y+1/2,-z+1/2"], "universal_h_m": "A e 2 m", "number": 39, "schoenflies": "C2v^15", "hall": " A -2b -2b", "hermann_mauguin": "A e 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y+1/2,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/2,y,z", "x+1/2,-y,z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "A m a 2", "number": 40, "schoenflies": "C2v^16", "hall": " A 2 -2a", "hermann_mauguin": "A m a 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y,z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y+1/2,z", "x,-y+1/2,z", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "B b m 2", "number": 40, "schoenflies": "C2v^16", "hall": " B 2 -2b", "hermann_mauguin": "B b m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y+1/2,z", "x,-y+1/2,z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "x,-y,-z", "x,-y+1/2,z", "x+1/2,y,z+1/2", "x+1/2,y+1/2,-z+1/2", "x+1/2,-y,-z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "B 2 m b", "number": 40, "schoenflies": "C2v^16", "hall": " B -2b 2", "hermann_mauguin": "B 2 m b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "x,-y,-z", "x,-y+1/2,z"]}, {"symops": ["x,y,z", "x,y,-z+1/2", "x,-y,-z", "x,-y,z+1/2", "x+1/2,y+1/2,z", "x+1/2,y+1/2,-z+1/2", "x+1/2,-y+1/2,-z", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "C 2 c m", "number": 40, "schoenflies": "C2v^16", "hall": " C -2c 2", "hermann_mauguin": "C 2 c m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z+1/2", "x,-y,-z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x,y,-z+1/2", "-x,y,z+1/2", "-x,y,-z", "x+1/2,y+1/2,z", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x+1/2,y+1/2,-z"], "universal_h_m": "C c 2 m", "number": 40, "schoenflies": "C2v^16", "hall": " C -2c -2c", "hermann_mauguin": "C c 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z+1/2", "-x,y,z+1/2", "-x,y,-z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y,z", "-x,y,-z", "x,y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x,y+1/2,-z+1/2"], "universal_h_m": "A m 2 a", "number": 40, "schoenflies": "C2v^16", "hall": " A -2a -2a", "hermann_mauguin": "A m 2 a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "-x+1/2,y+1,z+1/2", "x+1/2,-y+1,z+1/2"], "universal_h_m": "A e a 2", "number": 41, "schoenflies": "C2v^17", "hall": " A 2 -2ab", "hermann_mauguin": "A e a 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "-x+1,y+1/2,z+1/2", "x+1,-y+1/2,z+1/2"], "universal_h_m": "B b e 2", "number": 41, "schoenflies": "C2v^17", "hall": " B 2 -2ab", "hermann_mauguin": "B b e 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z", "x,-y,-z", "x+1/2,-y+1/2,z", "x+1/2,y,z+1/2", "x+1,y+1/2,-z+1/2", "x+1/2,-y,-z+1/2", "x+1,-y+1/2,z+1/2"], "universal_h_m": "B 2 e b", "number": 41, "schoenflies": "C2v^17", "hall": " B -2ab 2", "hermann_mauguin": "B 2 e b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "x,-y,-z", "x+1/2,-y+1/2,z"]}, {"symops": ["x,y,z", "x+1/2,y,-z+1/2", "x,-y,-z", "x+1/2,-y,z+1/2", "x+1/2,y+1/2,z", "x+1,y+1/2,-z+1/2", "x+1/2,-y+1/2,-z", "x+1,-y+1/2,z+1/2"], "universal_h_m": "C 2 e b", "number": 41, "schoenflies": "C2v^17", "hall": " C -2ac 2", "hermann_mauguin": "C 2 e b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z+1/2", "x,-y,-z", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y,-z+1/2", "-x+1/2,y,z+1/2", "-x,y,-z", "x+1/2,y+1/2,z", "x+1,y+1/2,-z+1/2", "-x+1,y+1/2,z+1/2", "-x+1/2,y+1/2,-z"], "universal_h_m": "C c 2 e", "number": 41, "schoenflies": "C2v^17", "hall": " C -2ac -2ac", "hermann_mauguin": "C c 2 e", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z+1/2", "-x+1/2,y,z+1/2", "-x,y,-z"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,-z", "-x+1/2,y+1/2,z", "-x,y,-z", "x,y+1/2,z+1/2", "x+1/2,y+1,-z+1/2", "-x+1/2,y+1,z+1/2", "-x,y+1/2,-z+1/2"], "universal_h_m": "A e 2 a", "number": 41, "schoenflies": "C2v^17", "hall": " A -2ab -2ab", "hermann_mauguin": "A e 2 a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "-x+1/2,y+1/2,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "-x,y+1/2,z+1/2", "x,-y+1/2,z+1/2", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "-x+1/2,y,z+1/2", "x+1/2,-y,z+1/2", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z"], "universal_h_m": "F m m 2", "number": 42, "schoenflies": "C2v^18", "hall": " F 2 -2", "hermann_mauguin": "F m m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z", "x,y+1/2,z+1/2", "x,y+1/2,-z+1/2", "x,-y+1/2,-z+1/2", "x,-y+1/2,z+1/2", "x+1/2,y,z+1/2", "x+1/2,y,-z+1/2", "x+1/2,-y,-z+1/2", "x+1/2,-y,z+1/2", "x+1/2,y+1/2,z", "x+1/2,y+1/2,-z", "x+1/2,-y+1/2,-z", "x+1/2,-y+1/2,z"], "universal_h_m": "F 2 m m", "number": 42, "schoenflies": "C2v^18", "hall": " F -2 2", "hermann_mauguin": "F 2 m m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z", "x,y+1/2,z+1/2", "x,y+1/2,-z+1/2", "-x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2", "x+1/2,y,z+1/2", "x+1/2,y,-z+1/2", "-x+1/2,y,z+1/2", "-x+1/2,y,-z+1/2", "x+1/2,y+1/2,z", "x+1/2,y+1/2,-z", "-x+1/2,y+1/2,z", "-x+1/2,y+1/2,-z"], "universal_h_m": "F m 2 m", "number": 42, "schoenflies": "C2v^18", "hall": " F -2 -2", "hermann_mauguin": "F m 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/4,y+1/4,z+1/4", "x+3/4,-y+3/4,z+1/4", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "-x+1/4,y+3/4,z+3/4", "x+3/4,-y+5/4,z+3/4", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "-x+3/4,y+1/4,z+3/4", "x+5/4,-y+3/4,z+3/4", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z", "-x+3/4,y+3/4,z+1/4", "x+5/4,-y+5/4,z+1/4"], "universal_h_m": "F d d 2", "number": 43, "schoenflies": "C2v^19", "hall": " F 2 -2d", "hermann_mauguin": "F d d 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/4,y+1/4,z+1/4", "x+3/4,-y+3/4,z+1/4"]}, {"symops": ["x,y,z", "x+1/4,y+1/4,-z+1/4", "x,-y,-z", "x+1/4,-y+1/4,z+1/4", "x,y+1/2,z+1/2", "x+1/4,y+3/4,-z+3/4", "x,-y+1/2,-z+1/2", "x+1/4,-y+3/4,z+3/4", "x+1/2,y,z+1/2", "x+3/4,y+1/4,-z+3/4", "x+1/2,-y,-z+1/2", "x+3/4,-y+1/4,z+3/4", "x+1/2,y+1/2,z", "x+3/4,y+3/4,-z+1/4", "x+1/2,-y+1/2,-z", "x+3/4,-y+3/4,z+1/4"], "universal_h_m": "F 2 d d", "number": 43, "schoenflies": "C2v^19", "hall": " F -2d 2", "hermann_mauguin": "F 2 d d", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/4,y+1/4,-z+1/4", "x,-y,-z", "x+1/4,-y+1/4,z+1/4"]}, {"symops": ["x,y,z", "x+1/4,y+1/4,-z+1/4", "-x+1/4,y+1/4,z+1/4", "-x+1/2,y+1/2,-z", "x,y+1/2,z+1/2", "x+1/4,y+3/4,-z+3/4", "-x+1/4,y+3/4,z+3/4", "-x+1/2,y+1,-z+1/2", "x+1/2,y,z+1/2", "x+3/4,y+1/4,-z+3/4", "-x+3/4,y+1/4,z+3/4", "-x+1,y+1/2,-z+1/2", "x+1/2,y+1/2,z", "x+3/4,y+3/4,-z+1/4", "-x+3/4,y+3/4,z+1/4", "-x+1,y+1,-z"], "universal_h_m": "F d 2 d", "number": 43, "schoenflies": "C2v^19", "hall": " F -2d -2d", "hermann_mauguin": "F d 2 d", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/4,y+1/4,-z+1/4", "-x+1/4,y+1/4,z+1/4", "-x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y+1/2,z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "I m m 2", "number": 44, "schoenflies": "C2v^20", "hall": " I 2 -2", "hermann_mauguin": "I m m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z", "x+1/2,y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2", "x+1/2,-y+1/2,-z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "I 2 m m", "number": 44, "schoenflies": "C2v^20", "hall": " I -2 2", "hermann_mauguin": "I 2 m m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z", "x+1/2,y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "I m 2 m", "number": 44, "schoenflies": "C2v^20", "hall": " I -2 -2", "hermann_mauguin": "I m 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y,z+1/2", "x,-y,z+1/2", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y+1/2,z+1/2", "-x+1/2,y+1/2,z+1", "x+1/2,-y+1/2,z+1"], "universal_h_m": "I b a 2", "number": 45, "schoenflies": "C2v^21", "hall": " I 2 -2c", "hermann_mauguin": "I b a 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z+1/2", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z", "x+1/2,y+1/2,z+1/2", "x+1,y+1/2,-z+1/2", "x+1/2,-y+1/2,-z+1/2", "x+1,-y+1/2,z+1/2"], "universal_h_m": "I 2 c b", "number": 45, "schoenflies": "C2v^21", "hall": " I -2a 2", "hermann_mauguin": "I 2 c b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "x,-y,-z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "-x,y+1/2,z", "-x,y,-z", "x+1/2,y+1/2,z+1/2", "x+1/2,y+1,-z+1/2", "-x+1/2,y+1,z+1/2", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "I c 2 a", "number": 45, "schoenflies": "C2v^21", "hall": " I -2b -2b", "hermann_mauguin": "I c 2 a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y+1/2,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x+1/2,y,z", "x+1/2,-y,z", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y+1/2,z+1/2", "-x+1,y+1/2,z+1/2", "x+1,-y+1/2,z+1/2"], "universal_h_m": "I m a 2", "number": 46, "schoenflies": "C2v^22", "hall": " I 2 -2a", "hermann_mauguin": "I m a 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y,z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,y+1/2,z", "x,-y+1/2,z", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y+1/2,z+1/2", "-x+1/2,y+1,z+1/2", "x+1/2,-y+1,z+1/2"], "universal_h_m": "I b m 2", "number": 46, "schoenflies": "C2v^22", "hall": " I 2 -2b", "hermann_mauguin": "I b m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y+1/2,z", "x,-y+1/2,z"]}, {"symops": ["x,y,z", "x,y+1/2,-z", "x,-y,-z", "x,-y+1/2,z", "x+1/2,y+1/2,z+1/2", "x+1/2,y+1,-z+1/2", "x+1/2,-y+1/2,-z+1/2", "x+1/2,-y+1,z+1/2"], "universal_h_m": "I 2 m b", "number": 46, "schoenflies": "C2v^22", "hall": " I -2b 2", "hermann_mauguin": "I 2 m b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "x,-y,-z", "x,-y+1/2,z"]}, {"symops": ["x,y,z", "x,y,-z+1/2", "x,-y,-z", "x,-y,z+1/2", "x+1/2,y+1/2,z+1/2", "x+1/2,y+1/2,-z+1", "x+1/2,-y+1/2,-z+1/2", "x+1/2,-y+1/2,z+1"], "universal_h_m": "I 2 c m", "number": 46, "schoenflies": "C2v^22", "hall": " I -2c 2", "hermann_mauguin": "I 2 c m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z+1/2", "x,-y,-z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x,y,-z+1/2", "-x,y,z+1/2", "-x,y,-z", "x+1/2,y+1/2,z+1/2", "x+1/2,y+1/2,-z+1", "-x+1/2,y+1/2,z+1", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "I c 2 m", "number": 46, "schoenflies": "C2v^22", "hall": " I -2c -2c", "hermann_mauguin": "I c 2 m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z+1/2", "-x,y,z+1/2", "-x,y,-z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y,z", "-x,y,-z", "x+1/2,y+1/2,z+1/2", "x+1,y+1/2,-z+1/2", "-x+1,y+1/2,z+1/2", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "I m 2 a", "number": 46, "schoenflies": "C2v^22", "hall": " I -2a -2a", "hermann_mauguin": "I m 2 a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "-x,-y,-z", "x,y,-z", "-x,y,z", "x,-y,z"], "universal_h_m": "P m m m", "number": 47, "schoenflies": "D2h^1", "hall": "-P 2 2", "hermann_mauguin": "P m m m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "-x,-y,-z", "x,y,-z", "-x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "P n n n :1", "number": 48, "schoenflies": "D2h^2", "hall": " P 2 2 -1n", "hermann_mauguin": "P n n n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "x,-y+1/2,-z+1/2", "-x+1/2,y,-z+1/2", "-x,-y,-z", "x-1/2,y-1/2,-z", "-x,y-1/2,z-1/2", "x-1/2,-y,z-1/2"], "universal_h_m": "P n n n :2", "number": 48, "schoenflies": "D2h^2", "hall": "-P 2ab 2bc", "hermann_mauguin": "P n n n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y+1/2,z", "x,-y+1/2,-z+1/2", "-x+1/2,y,-z+1/2", "-x,-y,-z", "x-1/2,y-1/2,-z", "-x,y-1/2,z-1/2", "x-1/2,-y,z-1/2"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z+1/2", "-x,y,-z+1/2", "-x,-y,-z", "x,y,-z", "-x,y,z-1/2", "x,-y,z-1/2"], "universal_h_m": "P c c m", "number": 49, "schoenflies": "D2h^3", "hall": "-P 2 2c", "hermann_mauguin": "P c c m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z+1/2", "-x,y,-z+1/2", "-x,-y,-z", "x,y,-z", "-x,y,z-1/2", "x,-y,z-1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y,z", "x,-y,-z", "-x+1/2,y,-z", "-x,-y,-z", "x-1/2,y,-z", "-x,y,z", "x-1/2,-y,z"], "universal_h_m": "P m a a", "number": 49, "schoenflies": "D2h^3", "hall": "-P 2a 2", "hermann_mauguin": "P m a a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y,z", "x,-y,-z", "-x+1/2,y,-z", "-x,-y,-z", "x-1/2,y,-z", "-x,y,z", "x-1/2,-y,z"]}, {"symops": ["x,y,z", "-x,-y+1/2,z", "x,-y+1/2,-z", "-x,y,-z", "-x,-y,-z", "x,y-1/2,-z", "-x,y-1/2,z", "x,-y,z"], "universal_h_m": "P b m b", "number": 49, "schoenflies": "D2h^3", "hall": "-P 2b 2b", "hermann_mauguin": "P b m b", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y+1/2,z", "x,-y+1/2,-z", "-x,y,-z", "-x,-y,-z", "x,y-1/2,-z", "-x,y-1/2,z", "x,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "-x+1/2,-y+1/2,-z", "x+1/2,y+1/2,-z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z"], "universal_h_m": "P b a n :1", "number": 50, "schoenflies": "D2h^4", "hall": " P 2 2 -1ab", "hermann_mauguin": "P b a n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "-x+1/2,-y+1/2,-z", "x+1/2,y+1/2,-z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "x,-y+1/2,-z", "-x+1/2,y,-z", "-x,-y,-z", "x-1/2,y-1/2,-z", "-x,y-1/2,z", "x-1/2,-y,z"], "universal_h_m": "P b a n :2", "number": 50, "schoenflies": "D2h^4", "hall": "-P 2ab 2b", "hermann_mauguin": "P b a n", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y+1/2,z", "x,-y+1/2,-z", "-x+1/2,y,-z", "-x,-y,-z", "x-1/2,y-1/2,-z", "-x,y-1/2,z", "x-1/2,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "-x,-y+1/2,-z+1/2", "x,y+1/2,-z+1/2", "-x,y+1/2,z+1/2", "x,-y+1/2,z+1/2"], 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"-x,-y,-z", "x,y,-z-1/2", "-x,y-1/2,z-1/2", "x,-y-1/2,z"], "universal_h_m": "P n m m :2", "number": 59, "schoenflies": "D2h^13", "hall": "-P 2c 2bc", "hermann_mauguin": "P n m m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "x,-y+1/2,-z+1/2", "-x,y+1/2,-z", "-x,-y,-z", "x,y,-z-1/2", "-x,y-1/2,z-1/2", "x,-y-1/2,z"]}, {"symops": ["x,y,z", "-x+1/2,-y,z+1/2", "x+1/2,-y,-z+1/2", "-x,y,-z", "-x+1/2,-y,-z+1/2", "x,y,-z", "-x,y,z", "x+1/2,-y,z+1/2"], "universal_h_m": "P m n m :1", "number": 59, "schoenflies": "D2h^13", "hall": " P 2ac 2ac -1ac", "hermann_mauguin": "P m n m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y,z+1/2", "x+1/2,-y,-z+1/2", "-x,y,-z", "-x+1/2,-y,-z+1/2", "x,y,-z", "-x,y,z", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "x+1/2,-y,-z", "-x+1/2,y,-z+1/2", "-x,-y,-z", "x,y,-z-1/2", "-x-1/2,y,z", "x-1/2,-y,z-1/2"], "universal_h_m": "P m n m :2", "number": 59, "schoenflies": "D2h^13", "hall": "-P 2c 2a", "hermann_mauguin": "P m 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"-x,-y,z", "-y,x,-z", "x,-y,-z", "-y,-x,z", "-x,y,-z", "y,x,z"]}, {"symops": ["x,y,z", "y,-x,-z", "-x,-y,z", "-y,x,-z", "x,-y,-z+1/2", "-y,-x,z+1/2", "-x,y,-z+1/2", "y,x,z+1/2"], "universal_h_m": "P -4 2 c", "number": 112, "schoenflies": "D2d^2", "hall": " P -4 2c", "hermann_mauguin": "P -4 2 c", "crystal_class": "tetragonal", "ncsym": ["x,y,z", "y,-x,-z", "-x,-y,z", "-y,x,-z", "x,-y,-z+1/2", "-y,-x,z+1/2", "-x,y,-z+1/2", "y,x,z+1/2"]}, {"symops": ["x,y,z", "y,-x,-z", "-x,-y,z", "-y,x,-z", "x+1/2,-y+1/2,-z", "-y+1/2,-x+1/2,z", "-x+1/2,y+1/2,-z", "y+1/2,x+1/2,z"], "universal_h_m": "P -4 21 m", "number": 113, "schoenflies": "D2d^3", "hall": " P -4 2ab", "hermann_mauguin": "P -4 21 m", "crystal_class": "tetragonal", "ncsym": ["x,y,z", "y,-x,-z", "-x,-y,z", "-y,x,-z", "x+1/2,-y+1/2,-z", "-y+1/2,-x+1/2,z", "-x+1/2,y+1/2,-z", "y+1/2,x+1/2,z"]}, {"symops": ["x,y,z", "y,-x,-z", "-x,-y,z", "-y,x,-z", "x+1/2,-y+1/2,-z+1/2", "-y+1/2,-x+1/2,z+1/2", "-x+1/2,y+1/2,-z+1/2", "y+1/2,x+1/2,z+1/2"], 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"-y,-x,-z+1/2"]}, {"symops": ["x,y,z", "y,-x,-z", "-x,-y,z", "-y,x,-z", "-x+1/2,y+1/2,z", "y+1/2,x+1/2,-z", "x+1/2,-y+1/2,z", "-y+1/2,-x+1/2,-z"], "universal_h_m": "P -4 b 2", "number": 117, "schoenflies": "D2d^7", "hall": " P -4 -2ab", "hermann_mauguin": "P -4 b 2", "crystal_class": "tetragonal", "ncsym": ["x,y,z", "y,-x,-z", "-x,-y,z", "-y,x,-z", "-x+1/2,y+1/2,z", "y+1/2,x+1/2,-z", "x+1/2,-y+1/2,z", "-y+1/2,-x+1/2,-z"]}, {"symops": ["x,y,z", "y,-x,-z", "-x,-y,z", "-y,x,-z", "-x+1/2,y+1/2,z+1/2", "y+1/2,x+1/2,-z+1/2", "x+1/2,-y+1/2,z+1/2", "-y+1/2,-x+1/2,-z+1/2"], "universal_h_m": "P -4 n 2", "number": 118, "schoenflies": "D2d^8", "hall": " P -4 -2n", "hermann_mauguin": "P -4 n 2", "crystal_class": "tetragonal", "ncsym": ["x,y,z", "y,-x,-z", "-x,-y,z", "-y,x,-z", "-x+1/2,y+1/2,z+1/2", "y+1/2,x+1/2,-z+1/2", "x+1/2,-y+1/2,z+1/2", "-y+1/2,-x+1/2,-z+1/2"]}, {"symops": ["x,y,z", "y,-x,-z", "-x,-y,z", "-y,x,-z", "-x,y,z", "y,x,-z", "x,-y,z", "-y,-x,-z", "x+1/2,y+1/2,z+1/2", "y+1/2,-x+1/2,-z+1/2", "-x+1/2,-y+1/2,z+1/2", "-y+1/2,x+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "y+1/2,x+1/2,-z+1/2", "x+1/2,-y+1/2,z+1/2", "-y+1/2,-x+1/2,-z+1/2"], "universal_h_m": "I -4 m 2", "number": 119, "schoenflies": "D2d^9", "hall": " I -4 -2", "hermann_mauguin": "I -4 m 2", "crystal_class": "tetragonal", "ncsym": ["x,y,z", "y,-x,-z", "-x,-y,z", "-y,x,-z", "-x,y,z", "y,x,-z", "x,-y,z", "-y,-x,-z"]}, {"symops": ["x,y,z", "y,-x,-z", "-x,-y,z", "-y,x,-z", "-x,y,z+1/2", "y,x,-z+1/2", "x,-y,z+1/2", "-y,-x,-z+1/2", "x+1/2,y+1/2,z+1/2", "y+1/2,-x+1/2,-z+1/2", "-x+1/2,-y+1/2,z+1/2", "-y+1/2,x+1/2,-z+1/2", "-x+1/2,y+1/2,z+1", "y+1/2,x+1/2,-z+1", "x+1/2,-y+1/2,z+1", "-y+1/2,-x+1/2,-z+1"], "universal_h_m": "I -4 c 2", "number": 120, "schoenflies": "D2d^10", "hall": " I -4 -2c", "hermann_mauguin": "I -4 c 2", "crystal_class": "tetragonal", "ncsym": ["x,y,z", "y,-x,-z", "-x,-y,z", "-y,x,-z", "-x,y,z+1/2", "y,x,-z+1/2", "x,-y,z+1/2", "-y,-x,-z+1/2"]}, {"symops": ["x,y,z", "y,-x,-z", "-x,-y,z", 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"x,-y+1/2,-z+1/4", "-y+1/2,-x,z+3/4", "-x,y+1/2,-z+1/4", "y+1/2,x,z+3/4"]}, {"symops": ["x,y,z", "-y,x,z", "-x,-y,z", "y,-x,z", "x,-y,-z", "y,x,-z", "-x,y,-z", "-y,-x,-z", "-x,-y,-z", "y,-x,-z", "x,y,-z", "-y,x,-z", "-x,y,z", "-y,-x,z", "x,-y,z", "y,x,z"], "universal_h_m": "P 4/m m m", "number": 123, "schoenflies": "D4h^1", "hall": "-P 4 2", "hermann_mauguin": "P 4/m m m", "crystal_class": "tetragonal", "ncsym": ["x,y,z", "-y,x,z", "-x,-y,z", "y,-x,z", "x,-y,-z", "y,x,-z", "-x,y,-z", "-y,-x,-z", "-x,-y,-z", "y,-x,-z", "x,y,-z", "-y,x,-z", "-x,y,z", "-y,-x,z", "x,-y,z", "y,x,z"]}, {"symops": ["x,y,z", "-y,x,z", "-x,-y,z", "y,-x,z", "x,-y,-z+1/2", "y,x,-z+1/2", "-x,y,-z+1/2", "-y,-x,-z+1/2", "-x,-y,-z", "y,-x,-z", "x,y,-z", "-y,x,-z", "-x,y,z-1/2", "-y,-x,z-1/2", "x,-y,z-1/2", "y,x,z-1/2"], "universal_h_m": "P 4/m c c", "number": 124, "schoenflies": "D4h^2", "hall": "-P 4 2c", "hermann_mauguin": "P 4/m c c", "crystal_class": "tetragonal", "ncsym": ["x,y,z", "-y,x,z", "-x,-y,z", "y,-x,z", "x,-y,-z+1/2", "y,x,-z+1/2", "-x,y,-z+1/2", "-y,-x,-z+1/2", "-x,-y,-z", "y,-x,-z", "x,y,-z", "-y,x,-z", "-x,y,z-1/2", "-y,-x,z-1/2", "x,-y,z-1/2", "y,x,z-1/2"]}, {"symops": ["x,y,z", "-y,x,z", "-x,-y,z", "y,-x,z", "x,-y,-z", "y,x,-z", "-x,y,-z", "-y,-x,-z", "-x+1/2,-y+1/2,-z", "y+1/2,-x+1/2,-z", "x+1/2,y+1/2,-z", "-y+1/2,x+1/2,-z", "-x+1/2,y+1/2,z", "-y+1/2,-x+1/2,z", "x+1/2,-y+1/2,z", "y+1/2,x+1/2,z"], "universal_h_m": "P 4/n b m :1", "number": 125, "schoenflies": "D4h^3", "hall": " P 4 2 -1ab", "hermann_mauguin": "P 4/n b m", "crystal_class": "tetragonal", "ncsym": ["x,y,z", "-y,x,z", "-x,-y,z", "y,-x,z", "x,-y,-z", "y,x,-z", "-x,y,-z", "-y,-x,-z", "-x+1/2,-y+1/2,-z", "y+1/2,-x+1/2,-z", "x+1/2,y+1/2,-z", "-y+1/2,x+1/2,-z", "-x+1/2,y+1/2,z", "-y+1/2,-x+1/2,z", "x+1/2,-y+1/2,z", "y+1/2,x+1/2,z"]}, {"symops": ["x,y,z", "-y+1/2,x,z", "-x+1/2,-y+1/2,z", "y,-x+1/2,z", "x,-y+1/2,-z", "y,x,-z", "-x+1/2,y,-z", "-y+1/2,-x+1/2,-z", "-x,-y,-z", "y-1/2,-x,-z", "x-1/2,y-1/2,-z", "-y,x-1/2,-z", 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"-x+1/2,-y+1/2,-z+1/2", "y+1/2,-x+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2", "-y+1/2,x+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-y+1/2,-x+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2", "y+1/2,x+1/2,z+1/2"]}, {"symops": ["x,y,z", "-y+1/2,x,z", "-x+1/2,-y+1/2,z", "y,-x+1/2,z", "x,-y+1/2,-z+1/2", "y,x,-z+1/2", "-x+1/2,y,-z+1/2", "-y+1/2,-x+1/2,-z+1/2", "-x,-y,-z", "y-1/2,-x,-z", "x-1/2,y-1/2,-z", "-y,x-1/2,-z", "-x,y-1/2,z-1/2", "-y,-x,z-1/2", "x-1/2,-y,z-1/2", "y-1/2,x-1/2,z-1/2"], "universal_h_m": "P 4/n n c :2", "number": 126, "schoenflies": "D4h^4", "hall": "-P 4a 2bc", "hermann_mauguin": "P 4/n n c", "crystal_class": "tetragonal", "ncsym": ["x,y,z", "-y+1/2,x,z", "-x+1/2,-y+1/2,z", "y,-x+1/2,z", "x,-y+1/2,-z+1/2", "y,x,-z+1/2", "-x+1/2,y,-z+1/2", "-y+1/2,-x+1/2,-z+1/2", "-x,-y,-z", "y-1/2,-x,-z", "x-1/2,y-1/2,-z", "-y,x-1/2,-z", "-x,y-1/2,z-1/2", "-y,-x,z-1/2", "x-1/2,-y,z-1/2", "y-1/2,x-1/2,z-1/2"]}, {"symops": ["x,y,z", "-y,x,z", "-x,-y,z", "y,-x,z", "x+1/2,-y+1/2,-z", "y+1/2,x+1/2,-z", "-x+1/2,y+1/2,-z", 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"-x-1/4,z-1/4,-y-3/4", "-z,x,y-1/2", "-x-1/4,-z-3/4,y-3/4", "z-1/2,-x,y", "x-1/4,z-1/4,y-1/4", "-y,-z,-x", "-y-1/2,z-1/2,x", "-z-3/4,-y-1/4,x-1/4", "y,-z-1/2,x-1/2", "z-1/4,y-1/4,x-1/4", "y-1/2,z,-x-1/2", "-z-3/4,y-3/4,-x-1/4", "z-3/4,-y-1/4,-x-3/4"]}, {"symops": ["x,y,z", "1/2+x,1/2+y,z"], "universal_h_m": "C 1", "number": 1, "schoenflies": "C1^1", "hall": "P 1 (1/2*x+1/2*y,1/2*x-1/2*y,-z)", "hermann_mauguin": "C 1", "crystal_class": "triclinic", "ncsym": ["x, y, z"]}, {"symops": ["x,y,z", "-x,-y,-z", "x,1/2+y,1/2+z", "-x,1/2-y,1/2-z"], "universal_h_m": "A -1", "number": 2, "schoenflies": "Ci^1", "hall": "-P 1 (-x,-1/2*y+1/2*z,1/2*y+1/2*z)", "hermann_mauguin": "A -1", "crystal_class": "triclinic", "ncsym": ["x, y, z", "-x, -y, -z"]}, {"symops": ["x, y, z", "x+1/2, y, z+1/2", "-x, -y, -z", "-x+1/2, -y, -z+1/2"], "universal_h_m": "B -1", "number": 2, "schoenflies": "Ci^1", "hall": "-P 1 (-1/2*x+1/2*z,-y,1/2*x+1/2*z)", "hermann_mauguin": "B -1", "crystal_class": "triclinic", "ncsym": ["x, y, z", "-x, -y, -z"]}, {"symops": ["x,y,z", "1/2-x,1/2-y,1/2-z", "1/2+x,1/2+y,1/2+z", "-x,-y,-z"], "universal_h_m": "I -1", "number": 2, "schoenflies": "D2^4", "hall": "-P 1 (-1/2*x+1/2*y+1/2*z,1/2*x-1/2*y+1/2*z,1/2*x+1/2*y-1/2*z)", "hermann_mauguin": "I -1", "crystal_class": "triclinic", "ncsym": ["x,y,z", "-x,-y,-z"]}, {"symops": ["x, y, z", "y, x, -z+1/2", "x+2/3, y+1/3, z+1/3", "y+2/3, x+1/3, -z+5/6", "x+1/3, y+2/3, z+2/3", "y+1/3, x+2/3, -z+7/6", "-x, -y, -z", "-y, -x, z-1/2", "-x+2/3, -y+1/3, -z+1/3", "-y+2/3, -x+1/3, z-1/6", "-x+1/3, -y+2/3, -z+2/3", "-y+1/3, -x+2/3, z+1/6"], "universal_h_m": "R 1 2/c 1", "number": 15, "schoenflies": "C2h^6", "hall": "-C 2yc (x+y-16/3*z,-x+y+16/3*z,1/3*z)", "hermann_mauguin": "R 1 2/c 1 (\"rhombohedral\" setting)", "crystal_class": "rhombohedral", "ncsym": ["x, y, z", "y, x, -z+1/2", "-x, -y, -z", "-y, -x, z-1/2"]}, {"symops": ["x,y,z", "x+1/2,-y+1/2,-z+1/2", "-x,y+1/2,-z", "-x+1/2,-y,z+1/2"], "universal_h_m": "P 21 21 21 (origin shift x,y,z+1/4)", "number": 19, "schoenflies": "D2^4", "hall": " P 2ac 2ab (x,y,z+1/4)", "hermann_mauguin": "P 21 21 21 (origin shift x,y,z+1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,-y+1/2,-z+1/2", "-x,y+1/2,-z", "-x+1/2,-y,z+1/2"]}, {"symops": ["x, y, z", "-x, y+1/2, -z", "x+1/2, y, z+1/2", "-x+1/2, y+1/2, -z+1/2"], "universal_h_m": "B 1 21 1", "number": 4, "schoenflies": "C2^2", "hall": "P 2yb (1/2*x,y,-1/2*x+z)", "hermann_mauguin": "B 1 21 1", "crystal_class": "monoclinic", "ncsym": ["x, y, z", "-x, y+1/2, -z"]}, {"symops": ["x, y, z", "x+1/2, y+1/2, z", "-x, -y, -z", "-x+1/2, -y+1/2, -z"], "universal_h_m": "C -1", "number": 2, "schoenflies": "Ci^1", "hall": "-P 1 (1/2*x+1/2*y,1/2*x-1/2*y,-z)", "hermann_mauguin": "C -1", "crystal_class": "triclinic", "ncsym": ["x, y, z", "-x, -y, -z"]}, {"symops": ["x,y,z", "-x,y+1/2,-z", "-x,-y,-z", "x,-y-1/2,z", "x+1/2,y,z+1/2", "-x+1/2,y+1/2,-z+1/2", "-x+1/2,-y,-z+1/2", "x+1/2,-y-1/2,z+1/2"], "universal_h_m": "B 1 21/m 1", "number": 11, "schoenflies": "C2h^2", "hall": "-P 2yb (1/2*x,y,-1/2*x+z)", "hermann_mauguin": "B 1 21/m 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,-z", "-x,-y,-z", "x,-y-1/2,z", "x+1/2,y,z+1/2", "-x+1/2,y+1/2,-z+1/2", "-x+1/2,-y,-z+1/2", "x+1/2,-y-1/2,z+1/2"]}, {"symops": ["x,y,z", "x,y+1/2,z+1/2"], "universal_h_m": "P 1 (-a,-b+c,b+c)", "number": 1, "schoenflies": "C1^1", "hall": " P 1 (-x,-1/2*y+1/2*z,1/2*y+1/2*z)", "hermann_mauguin": "P 1 (-a,-b+c,b+c)", "crystal_class": "triclinic", "ncsym": ["x,y,z"]}, {"symops": ["x,y,z", "x+1/2,y,z+1/2"], "universal_h_m": "P 1 (-a+c,-b,a+c)", "number": 1, "schoenflies": "C1^1", "hall": " P 1 (-1/2*x+1/2*z,-y,1/2*x+1/2*z)", "hermann_mauguin": "P 1 (-a+c,-b,a+c)", "crystal_class": "triclinic", "ncsym": ["x,y,z"]}, {"symops": ["x,y,z", "x+1/2,y+1/2,z+1/2"], "universal_h_m": "P 1 (b+c,a+c,a+b)", "number": 1, "schoenflies": "C1^1", "hall": " P 1 (-1/2*x+1/2*y+1/2*z,1/2*x-1/2*y+1/2*z,1/2*x+1/2*y-1/2*z)", "hermann_mauguin": "P 1 (b+c,a+c,a+b)", "crystal_class": "triclinic", "ncsym": ["x,y,z"]}, {"symops": ["x,y,z", "x,y+1/2,z+1/2", "x+1/2,y,z+1/2", "x+1/2,y+1/2,z"], "universal_h_m": "P 1 (-a+b+c,a-b+c,a+b-c)", "number": 1, "schoenflies": "C1^1", "hall": " P 1 (1/2*y+1/2*z,1/2*x+1/2*z,1/2*x+1/2*y)", "hermann_mauguin": "P 1 (-a+b+c,a-b+c,a+b-c)", "crystal_class": "triclinic", "ncsym": ["x,y,z"]}, {"symops": ["x,y,z", "-x,-y,-z", "x,y+1/2,z+1/2", "-x,-y+1/2,-z+1/2", "x+1/2,y,z+1/2", "-x+1/2,-y,-z+1/2", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,-z"], "universal_h_m": "P -1 (-a+b+c,a-b+c,a+b-c)", "number": 2, "schoenflies": "Ci^1", "hall": "-P 1 (1/2*y+1/2*z,1/2*x+1/2*z,1/2*x+1/2*y)", "hermann_mauguin": "P -1 (-a+b+c,a-b+c,a+b-c)", "crystal_class": "triclinic", "ncsym": ["x,y,z", "-x,-y,-z"]}, {"symops": ["x,y,z", "-x,y,-z", "x+1/2,y,z+1/2", "-x+1/2,y,-z+1/2"], "universal_h_m": "P 1 2 1 (2*a+c,b,c)", "number": 3, "schoenflies": "C2^1", "hall": " P 2y (1/2*x,y,-1/2*x+z)", "hermann_mauguin": "P 1 2 1 (2*a+c,b,c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,y,-z", "x+1/2,y,z+1/2", "-x+1/2,y,-z+1/2", "x+1/2,y+1/2,z", "-x+1/2,y+1/2,-z", "x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2"], "universal_h_m": "C 1 2 1 (a,b,a+2*c)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (x-1/2*z,y,1/2*z)", "hermann_mauguin": "C 1 2 1 (a,b,a+2*c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z"], "universal_h_m": "P 1 2 1 (c,2*a+c,b)", "number": 3, "schoenflies": "C2^1", "hall": " P 2y (-1/2*x+z,1/2*x,y)", "hermann_mauguin": "P 1 2 1 (c,2*a+c,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2"], "universal_h_m": "C 1 2 1 (a+2*c,a,b)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (1/2*z,x-1/2*z,y)", "hermann_mauguin": "C 1 2 1 (a+2*c,a,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z"]}, {"symops": ["x,y,z", "-x,y,-z+1/2", "x,y+1/2,z+1/2", "-x,y+1/2,-z"], "universal_h_m": "C 1 2 1 (c-1/4,b-1/4,-a)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (z,y+1/4,-x-1/4)", "hermann_mauguin": "C 1 2 1 (c-1/4,b-1/4,-a)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z", "x+1/2,y+1/2,z", "-x,y+1/2,-z"], "universal_h_m": "C 1 2 1 (a-1/4,b-1/4,c)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (x+1/4,y+1/4,z)", "hermann_mauguin": "C 1 2 1 (a-1/4,b-1/4,c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z+1/2", "x+1/2,y+1/2,z+1/2", "-x,y+1/2,-z"], "universal_h_m": "C 1 2 1 (a+c-1/4,b-1/4,c)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (x+1/4,y+1/4,-x+z-1/4)", "hermann_mauguin": "C 1 2 1 (a+c-1/4,b-1/4,c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z", "x+1/2,y,z+1/2", "-x,y,-z+1/2", "x+1/2,y+1/2,z", "-x,y+1/2,-z", "x,y+1/2,z+1/2", "-x+1/2,y+1/2,-z+1/2"], "universal_h_m": "C 1 2 1 (a-1/4,b-1/4,a+2*c)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (x-1/2*z+1/4,y+1/4,1/2*z)", "hermann_mauguin": "C 1 2 1 (a-1/4,b-1/4,a+2*c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y+1/2,z", "x,y+1/2,z+1/2", "-x,-y,z+1/2"], "universal_h_m": "C 1 2 1 (c-1/4,a-1/4,b)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (z,x+1/4,y+1/4)", "hermann_mauguin": "C 1 2 1 (c-1/4,a-1/4,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y,z", "x+1/2,y,z+1/2", "-x,-y,z+1/2"], "universal_h_m": "C 1 2 1 (-a-1/4,c-1/4,b)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (-x-1/4,z,y+1/4)", "hermann_mauguin": "C 1 2 1 (-a-1/4,c-1/4,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z+1/2"]}, {"symops": ["x,y,z", "-x,-y,z+1/2", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z+1/2"], "universal_h_m": "P 1 21 1 (c,2*a+c,b)", "number": 4, "schoenflies": "C2^2", "hall": " P 2yb (-1/2*x+z,1/2*x,y)", "hermann_mauguin": "P 1 21 1 (c,2*a+c,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "x+1/2,y+1/2,z+1/2", "-x,-y,z+1/2"], "universal_h_m": "C 1 2 1 (c-1/4,a+c-1/4,b)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (-x+z-1/4,x+1/4,y+1/4)", "hermann_mauguin": "C 1 2 1 (c-1/4,a+c-1/4,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z+1/2"]}, {"symops": ["x,y,z", "-x,-y+1/2,z", "x+1/2,y+1/2,z", "-x+1/2,-y,z", "x,y+1/2,z+1/2", "-x,-y,z+1/2", "x+1/2,y,z+1/2", "-x+1/2,-y+1/2,z+1/2"], "universal_h_m": "C 1 2 1 (a+2*c-1/4,a-1/4,b)", "number": 5, "schoenflies": "C2^3", "hall": " C 2y (1/2*z,x-1/2*z+1/4,y+1/4)", "hermann_mauguin": "C 1 2 1 (a+2*c-1/4,a-1/4,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z+1/2"]}, {"symops": ["x,y,z", "x,-y,z", "x+1/2,y,z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "P 1 m 1 (2*a+c,b,c)", "number": 6, "schoenflies": "Cs^1", "hall": " P -2y (1/2*x,y,-1/2*x+z)", "hermann_mauguin": "P 1 m 1 (2*a+c,b,c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,-y,z", "x+1/2,y,z+1/2", "x+1/2,-y,z+1/2", "x+1/2,y+1/2,z", "x+1/2,-y+1/2,z", "x,y+1/2,z+1/2", "x,-y+1/2,z+1/2"], "universal_h_m": "C 1 m 1 (a,b,a+2*c)", "number": 8, "schoenflies": "Cs^3", "hall": " C -2y (x-1/2*z,y,1/2*z)", "hermann_mauguin": "C 1 m 1 (a,b,a+2*c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z"]}, {"symops": ["x,y,z", "x,y,-z", "x+1/2,y+1/2,z", "x+1/2,y+1/2,-z"], "universal_h_m": "P 1 m 1 (c,2*a+c,b)", "number": 6, "schoenflies": "Cs^1", "hall": " P -2y (-1/2*x+z,1/2*x,y)", "hermann_mauguin": "P 1 m 1 (c,2*a+c,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,y,-z"]}, {"symops": ["x,y,z", "x,y,-z", "x+1/2,y+1/2,z", "x+1/2,y+1/2,-z", "x,y+1/2,z+1/2", "x,y+1/2,-z+1/2", "x+1/2,y,z+1/2", "x+1/2,y,-z+1/2"], "universal_h_m": "C 1 m 1 (a+2*c,a,b)", "number": 8, "schoenflies": "Cs^3", "hall": " C -2y (1/2*z,x-1/2*z,y)", "hermann_mauguin": "C 1 m 1 (a+2*c,a,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,y,-z"]}, {"symops": ["x,y,z", "-x,y,z", "x,y+1/2,z+1/2", "-x,y+1/2,z+1/2"], "universal_h_m": "P 1 m 1 (b,c,2*a+c)", "number": 6, "schoenflies": "Cs^1", "hall": " P -2y (y,-1/2*x+z,1/2*x)", "hermann_mauguin": "P 1 m 1 (b,c,2*a+c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,z"]}, {"symops": ["x,y,z", "-x,y,z", "x,y+1/2,z+1/2", "-x,y+1/2,z+1/2", "x+1/2,y,z+1/2", "-x+1/2,y,z+1/2", "x+1/2,y+1/2,z", "-x+1/2,y+1/2,z"], "universal_h_m": "C 1 m 1 (b,a+2*c,a)", "number": 8, "schoenflies": "Cs^3", "hall": " C -2y (y,1/2*z,x-1/2*z)", "hermann_mauguin": "C 1 m 1 (b,a+2*c,a)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,z"]}, {"symops": ["x,y,z", "x,-y+1/2,z", "x,y+1/2,z+1/2", "x,-y,z+1/2"], "universal_h_m": "C 1 m 1 (c-1/4,b-1/4,-a)", "number": 8, "schoenflies": "Cs^3", "hall": " C -2y (z,y+1/4,-x-1/4)", "hermann_mauguin": "C 1 m 1 (c-1/4,b-1/4,-a)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x,-y,z+1/2", "x+1/2,y,z+1/2", "x+1/2,-y,z"], "universal_h_m": "P 1 c 1 (2*a+c,b,c)", "number": 7, "schoenflies": "Cs^2", "hall": " P -2yc (1/2*x,y,-1/2*x+z)", "hermann_mauguin": "P 1 c 1 (2*a+c,b,c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x,-y+1/2,z", "x+1/2,y,z+1/2", "x+1/2,-y+1/2,z+1/2", "x+1/2,y+1/2,z", "x+1/2,-y,z", "x,y+1/2,z+1/2", "x,-y,z+1/2"], "universal_h_m": "C 1 m 1 (a-1/4,b-1/4,a+2*c)", "number": 8, "schoenflies": "Cs^3", "hall": " C -2y (x-1/2*z+1/4,y+1/4,1/2*z)", "hermann_mauguin": "C 1 m 1 (a-1/4,b-1/4,a+2*c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "x,-y+1/2,z", "x+1/2,y+1/2,z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "C 1 m 1 (a+c-1/4,b-1/4,c)", "number": 8, "schoenflies": "Cs^3", "hall": " C -2y (x+1/4,y+1/4,-x+z-1/4)", "hermann_mauguin": "C 1 m 1 (a+c-1/4,b-1/4,c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "x,-y+1/2,z", "x+1/2,y+1/2,z", "x+1/2,-y,z"], "universal_h_m": "C 1 m 1 (a-1/4,b-1/4,c)", "number": 8, "schoenflies": "Cs^3", "hall": " C -2y (x+1/4,y+1/4,z)", "hermann_mauguin": "C 1 m 1 (a-1/4,b-1/4,c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "x,y,-z+1/2", "x+1/2,y,z+1/2", "x+1/2,y,-z"], "universal_h_m": "C 1 m 1 (-a-1/4,c-1/4,b)", "number": 8, "schoenflies": "Cs^3", "hall": " C -2y (-x-1/4,z,y+1/4)", "hermann_mauguin": "C 1 m 1 (-a-1/4,c-1/4,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x+1/2,y,-z"]}, {"symops": ["x,y,z", "x+1/2,y,-z", "x+1/2,y+1/2,z", "x,y+1/2,-z"], "universal_h_m": "P 1 c 1 (c,2*a+c,b)", "number": 7, "schoenflies": "Cs^2", "hall": " P -2yc (-1/2*x+z,1/2*x,y)", "hermann_mauguin": "P 1 c 1 (c,2*a+c,b)", 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"-x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "-x,y,-z", "-x,-y,-z", "x,-y,z", "x+1/2,y,z+1/2", "-x+1/2,y,-z+1/2", "-x+1/2,-y,-z+1/2", "x+1/2,-y,z+1/2", "x+1/2,y+1/2,z", "-x+1/2,y+1/2,-z", "-x+1/2,-y+1/2,-z", "x+1/2,-y+1/2,z", "x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2", "-x,-y+1/2,-z+1/2", "x,-y+1/2,z+1/2"], "universal_h_m": "C 1 2/m 1 (a,b,a+2*c)", "number": 12, "schoenflies": "C2h^3", "hall": "-C 2y (x-1/2*z,y,1/2*z)", "hermann_mauguin": "C 1 2/m 1 (a,b,a+2*c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z", "-x,-y,-z", "x,-y,z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z", "-x+1/2,-y+1/2,-z", "x+1/2,y+1/2,-z"], "universal_h_m": "P 1 2/m 1 (c,2*a+c,b)", "number": 10, "schoenflies": "C2h^1", "hall": "-P 2y (-1/2*x+z,1/2*x,y)", "hermann_mauguin": "P 1 2/m 1 (c,2*a+c,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z"]}, {"symops": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z", "-x+1/2,-y+1/2,-z", "x+1/2,y+1/2,-z", "x,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "-x,-y+1/2,-z+1/2", "x,y+1/2,-z+1/2", "x+1/2,y,z+1/2", "-x+1/2,-y,z+1/2", "-x+1/2,-y,-z+1/2", "x+1/2,y,-z+1/2"], "universal_h_m": "C 1 2/m 1 (a+2*c,a,b)", "number": 12, "schoenflies": "C2h^3", "hall": "-C 2y (1/2*z,x-1/2*z,y)", "hermann_mauguin": "C 1 2/m 1 (a+2*c,a,b)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,-y,z", "-x,-y,-z", "x,y,-z"]}, {"symops": ["x,y,z", "x,-y,-z", "-x,-y,-z", "-x,y,z", "x,y+1/2,z+1/2", "x,-y+1/2,-z+1/2", "-x,-y+1/2,-z+1/2", "-x,y+1/2,z+1/2"], "universal_h_m": "P 1 2/m 1 (b,c,2*a+c)", "number": 10, "schoenflies": "C2h^1", "hall": "-P 2y (y,-1/2*x+z,1/2*x)", "hermann_mauguin": "P 1 2/m 1 (b,c,2*a+c)", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,-z", "-x,-y,-z", "-x,y,z"]}, {"symops": ["x,y,z", "x,-y,-z", "-x,-y,-z", "-x,y,z", "x,y+1/2,z+1/2", "x,-y+1/2,-z+1/2", "-x,-y+1/2,-z+1/2", "-x,y+1/2,z+1/2", "x+1/2,y,z+1/2", "x+1/2,-y,-z+1/2", 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"-x,y+1/2,z", "x+1/2,-y+1/2,z"], "universal_h_m": "F m m 2 (a+1/4,b,c+1/4)", "number": 42, "schoenflies": "C2v^18", "hall": " F 2 -2 (x-1/4,y,z-1/4)", "hermann_mauguin": "F m m 2 (a+1/4,b,c+1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x,y,z+1/2", "x,-y,z"]}, {"symops": ["x,y,z", "-x,y,-z+1/2", "-x,y,z+1/2", "x,y,-z", "x,y+1/2,z+1/2", "-x,y+1/2,-z", "-x,y+1/2,z", "x,y+1/2,-z+1/2"], "universal_h_m": "A e m 2 (-a,c+1/4,b-1/4)", "number": 39, "schoenflies": "C2v^15", "hall": " A 2 -2b (-x,z+1/4,y-1/4)", "hermann_mauguin": "A e m 2 (-a,c+1/4,b-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y+1/2,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z", "x,y,-z", "-x+1/2,y,z", "x+1/2,y+1/2,z", "-x,y+1/2,-z", "x+1/2,y+1/2,-z", "-x,y+1/2,z"], "universal_h_m": "A m m 2 (b,c+1/4,a-1/4)", "number": 38, "schoenflies": "C2v^14", "hall": " A 2 -2 (y-1/4,z+1/4,x)", "hermann_mauguin": "A m m 2 (b,c+1/4,a-1/4)", "crystal_class": "orthorhombic", 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{"symops": ["x,y,z", "-x,y,-z+1/2", "-x,y,z", "x,y,-z+1/2", "x,y+1/2,z+1/2", "-x,y+1/2,-z", "-x,y+1/2,z+1/2", "x,y+1/2,-z"], "universal_h_m": "A m m 2 (-a,c+1/4,b-1/4)", "number": 38, "schoenflies": "C2v^14", "hall": " A 2 -2 (-x,z+1/4,y-1/4)", "hermann_mauguin": "A m m 2 (-a,c+1/4,b-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z", "x+1/2,y,-z", "-x,y,z", "x+1/2,y+1/2,z", "-x,y+1/2,-z", "x,y+1/2,-z", "-x+1/2,y+1/2,z"], "universal_h_m": "A e m 2 (b,c+1/4,a-1/4)", "number": 39, "schoenflies": "C2v^15", "hall": " A 2 -2b (y-1/4,z+1/4,x)", "hermann_mauguin": "A e m 2 (b,c+1/4,a-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z+1/2", "-x,y,z", "x+1/2,y,-z+1/2", "x+1/2,y+1/2,z+1/2", "-x,y+1/2,-z", "-x+1/2,y+1/2,z+1/2", "x,y+1/2,-z"], "universal_h_m": "I m a 2 (-a-1/4,c-1/4,b+1/4)", "number": 46, "schoenflies": "C2v^22", "hall": " I 2 -2a (-x-1/4,z-1/4,y+1/4)", "hermann_mauguin": "I m a 2 (-a-1/4,c-1/4,b+1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,y,-z+1/2", "x,y,-z+1/2", "-x,y,z", "x+1/2,y+1/2,z", "-x+1/2,y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z", "x,y+1/2,z+1/2", "-x,y+1/2,-z", "x,y+1/2,-z", "-x,y+1/2,z+1/2", "x+1/2,y,z+1/2", "-x+1/2,y,-z", "x+1/2,y,-z", "-x+1/2,y,z+1/2"], "universal_h_m": "F m m 2 (b+1/4,c,a+1/4)", "number": 42, "schoenflies": "C2v^18", "hall": " F 2 -2 (y,z-1/4,x-1/4)", "hermann_mauguin": "F m m 2 (b+1/4,c,a+1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "-x+1/2,y,z", "x,-y+1/2,z", "x,y+1/2,z+1/2", "-x+1/2,-y,z+1/2", "-x+1/2,y+1/2,z+1/2", "x,-y,z+1/2", "x+1/2,y,z+1/2", "-x,-y+1/2,z+1/2", "-x,y,z+1/2", "x+1/2,-y+1/2,z+1/2", "x+1/2,y+1/2,z", "-x,-y,z", "-x,y+1/2,z", "x+1/2,-y,z"], "universal_h_m": "F m m 2 (a+1/4,b+1/4,c+1/2)", "number": 42, "schoenflies": "C2v^18", "hall": " F 2 -2 (x-1/4,y-1/4,z+1/2)", "hermann_mauguin": "F m m 2 (a+1/4,b+1/4,c+1/2)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y,z+1/2", "x,-y,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,y,-z+1/2", "x,y,-z+1/2", "-x+1/2,y,z", "x+1/2,y+1/2,z", "-x,y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2", "-x,y+1/2,z", "x,y+1/2,z+1/2", "-x+1/2,y+1/2,-z", "x,y+1/2,-z", "-x+1/2,y+1/2,z+1/2", "x+1/2,y,z+1/2", "-x,y,-z", "x+1/2,y,-z", "-x,y,z+1/2"], "universal_h_m": "F m m 2 (b+1/4,c+1/4,a+1/2)", "number": 42, "schoenflies": "C2v^18", "hall": " F 2 -2 (y-1/4,z+1/2,x-1/4)", "hermann_mauguin": "F m m 2 (b+1/4,c+1/4,a+1/2)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z", "-x,y+1/2,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "-x+1/2,y,z", "x,-y+1/2,z", "x+1/2,y+1/2,z", "-x,-y,z", "-x,y+1/2,z", "x+1/2,-y,z"], "universal_h_m": "C m m 2 (a-1/4,b-1/4,c)", "number": 35, "schoenflies": "C2v^11", "hall": " C 2 -2 (x+1/4,y+1/4,z)", "hermann_mauguin": "C m m 2 (a-1/4,b-1/4,c)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x+1/2,y,z", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z+1/2", "x,y,-z+1/2", "-x+1/2,y,z", "x+1/2,y,z+1/2", "-x,y,-z", "x+1/2,y,-z", "-x,y,z+1/2"], "universal_h_m": "C m m 2 (b-1/4,c-1/4,a)", "number": 35, "schoenflies": "C2v^11", "hall": " C 2 -2 (y+1/4,z,x+1/4)", "hermann_mauguin": "C m m 2 (b-1/4,c-1/4,a)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z+1/2", "-x,y,z+1/2", "-x,y,-z"]}, {"symops": ["x,y,z", "-x,-y+1/2,z", "-x+1/2,y+1/2,z", "x+1/2,-y,z", "x,y+1/2,z+1/2", "-x,-y,z+1/2", "-x+1/2,y,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "A e a 2 (a,b+1/4,c-1/4)", "number": 41, "schoenflies": "C2v^17", "hall": " A 2 -2ab (x,y-1/4,z+1/4)", "hermann_mauguin": "A e a 2 (a,b+1/4,c-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y,z+1/2", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z+1/2", "x,-y+1/2,z", "-x+1/2,y,z+1/2", "x+1/2,y+1/2,z", "-x,-y,z+1/2", "x+1/2,-y,z", "-x,y+1/2,z+1/2"], "universal_h_m": "C m c 21 (b-1/4,-a-1/4,c)", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2 (y+1/4,-x-1/4,z)", "hermann_mauguin": "C m c 21 (b-1/4,-a-1/4,c)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y,z+1/2", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "-x+1/2,y,z+1/2", "x,-y+1/2,z+1/2", "x+1/2,y+1/2,z+1/2", "-x,-y,z+1/2", "-x,y+1/2,z", "x+1/2,-y,z"], "universal_h_m": "I b a 2 (a-1/4,b-1/4,c+1/4)", "number": 45, "schoenflies": "C2v^21", "hall": " I 2 -2c (x+1/4,y+1/4,z-1/4)", "hermann_mauguin": "I b a 2 (a-1/4,b-1/4,c+1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y,z+1/2", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,-y,z", "x+1/2,-y+1/2,z", "-x,y+1/2,z", "x+1/2,y,z+1/2", "-x,-y,z+1/2", "x,-y+1/2,z+1/2", "-x+1/2,y+1/2,z+1/2"], "universal_h_m": "A e a 2 (b,-a+1/4,c-1/4)", "number": 41, "schoenflies": "C2v^17", "hall": " A 2 -2ab (y-1/4,-x,z+1/4)", "hermann_mauguin": "A e a 2 (b,-a+1/4,c-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x,y+1/2,z", "x,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z+1/2", "-x+1/2,y,z", "x,-y+1/2,z+1/2", "x+1/2,y+1/2,z", "-x,-y,z+1/2", "-x,y+1/2,z", "x+1/2,-y,z+1/2"], "universal_h_m": "C m c 21 (a-1/4,b-1/4,c)", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2 (x+1/4,y+1/4,z)", "hermann_mauguin": "C m c 21 (a-1/4,b-1/4,c)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x,y+1/2,z", "x,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,y+1/2,-z+1/2", "-x+1/2,y,z", "x,y+1/2,-z+1/2", "x+1/2,y,z+1/2", "-x,y+1/2,-z", "-x,y,z+1/2", "x+1/2,y+1/2,-z"], "universal_h_m": "C m c 21 (-a-1/4,c-1/4,b)", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2 (-x-1/4,z,y+1/4)", "hermann_mauguin": "C m c 21 (-a-1/4,c-1/4,b)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z+1/2", "-x,y,z+1/2", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z", "x+1/2,y,-z+1/2", "-x,y,z+1/2", "x+1/2,y+1/2,z", "-x,y+1/2,-z", "x,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2"], "universal_h_m": "A e a 2 (b,c+1/4,a-1/4)", "number": 41, "schoenflies": "C2v^17", "hall": " A 2 -2ab (y-1/4,z+1/4,x)", "hermann_mauguin": "A e a 2 (b,c+1/4,a-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z+1/2", "-x,y,z+1/2", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,y,-z+1/2", "x,y+1/2,-z+1/2", "-x+1/2,y+1/2,z", "x+1/2,y+1/2,z+1/2", "-x,y+1/2,-z", "x+1/2,y,-z", "-x,y,z+1/2"], "universal_h_m": "I b a 2 (b-1/4,c-1/4,a+1/4)", "number": 45, "schoenflies": "C2v^21", "hall": " I 2 -2c (y+1/4,z-1/4,x+1/4)", "hermann_mauguin": "I b a 2 (b-1/4,c-1/4,a+1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y+1/2,-z+1/2", "-x,y,z+1/2", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,y,-z+1/2", "-x+1/2,y,z+1/2", "x+1/2,y,-z", "x,y+1/2,z+1/2", "-x,y+1/2,-z", "-x+1/2,y+1/2,z", "x+1/2,y+1/2,-z+1/2"], "universal_h_m": "A e a 2 (-a,c+1/4,b-1/4)", "number": 41, "schoenflies": "C2v^17", "hall": " A 2 -2ab (-x,z+1/4,y-1/4)", "hermann_mauguin": "A e a 2 (-a,c+1/4,b-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y+1/2,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,y+1/2,-z+1/2", "x,y,-z+1/2", "-x+1/2,y+1/2,z", "x+1/2,y,z+1/2", "-x,y+1/2,-z", "x+1/2,y,-z", "-x,y+1/2,z+1/2"], "universal_h_m": "C m c 21 (b-1/4,c-1/4,a)", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2 (y+1/4,z,x+1/4)", "hermann_mauguin": "C m c 21 (b-1/4,c-1/4,a)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z", "-x+1/2,y+1/2,z", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "-x+1/2,y,z+1/2", "x,-y+1/2,z+1/2", "x+1/2,y+1/2,z", "-x,-y,z", "-x,y+1/2,z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "C c c 2 (a-1/4,b-1/4,c)", "number": 37, "schoenflies": "C2v^13", "hall": " C 2 -2c (x+1/4,y+1/4,z)", "hermann_mauguin": "C c c 2 (a-1/4,b-1/4,c)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "-x,y+1/2,z+1/2", "x,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,y,-z+1/2", "x,y+1/2,-z+1/2", "-x+1/2,y+1/2,z", "x+1/2,y,z+1/2", "-x,y,-z", "x+1/2,y+1/2,-z", "-x,y+1/2,z+1/2"], "universal_h_m": "C c c 2 (b-1/4,c-1/4,a)", "number": 37, "schoenflies": "C2v^13", "hall": " C 2 -2c (y+1/4,z,x+1/4)", "hermann_mauguin": "C c c 2 (b-1/4,c-1/4,a)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "-x+1/2,y+1/2,z", "-x,y,-z"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "-x,y,z", "x+1/2,-y+1/2,z", "x,y+1/2,z+1/2", "-x+1/2,-y,z+1/2", "-x,y+1/2,z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "A m a 2 (a+1/4,b+1/4,c-1/4)", "number": 40, "schoenflies": "C2v^16", "hall": " A 2 -2a (x-1/4,y-1/4,z+1/4)", "hermann_mauguin": "A m a 2 (a+1/4,b+1/4,c-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y,z+1/2", "-x,y,z", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "-x,-y+1/2,z+1/2", "-x,y,z", "x,-y+1/2,z+1/2", "x+1/2,y+1/2,z", "-x+1/2,-y,z+1/2", "-x+1/2,y+1/2,z", "x+1/2,-y,z+1/2"], "universal_h_m": "C m c 21 (a,b+1/4,c)", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2 (x,y-1/4,z)", "hermann_mauguin": "C m c 21 (a,b+1/4,c)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y,z+1/2", "-x,y,z", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "-x,-y+1/2,z", "-x,y,z", "x,-y+1/2,z", "x+1/2,y+1/2,z+1/2", "-x+1/2,-y,z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "I m m 2 (a,b-1/4,c)", "number": 44, "schoenflies": "C2v^20", "hall": " I 2 -2 (x,y+1/4,z)", "hermann_mauguin": "I m m 2 (a,b-1/4,c)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,-y,z+1/2", "-x,y,z", "x+1/2,-y,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "x,-y,z", "-x+1/2,y+1/2,z", "x+1/2,y,z+1/2", "-x,-y+1/2,z+1/2", "x+1/2,-y,z+1/2", "-x,y+1/2,z+1/2"], "universal_h_m": "A m a 2 (b+1/4,-a+1/4,c-1/4)", "number": 40, "schoenflies": "C2v^16", "hall": " A 2 -2a (y-1/4,-x+1/4,z+1/4)", "hermann_mauguin": "A m a 2 (b+1/4,-a+1/4,c-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y+1/2,z+1/2", "-x,y+1/2,z+1/2", "x,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,-y,z+1/2", "x,-y,z", "-x+1/2,y,z+1/2", "x+1/2,y+1/2,z", "-x,-y+1/2,z+1/2", "x+1/2,-y+1/2,z", "-x,y+1/2,z+1/2"], "universal_h_m": "C m c 21 (b,-a+1/4,c)", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2 (y-1/4,-x,z)", "hermann_mauguin": "C m c 21 (b,-a+1/4,c)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y+1/2,z+1/2", "-x,y+1/2,z+1/2", "x,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,-y,z", "-x+1/2,y,z", "x,-y,z", "x+1/2,y+1/2,z+1/2", "-x,-y+1/2,z+1/2", "-x,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "I m m 2 (a-1/4,b,c+1/4)", "number": 44, "schoenflies": "C2v^20", "hall": " I 2 -2 (x+1/4,y,z-1/4)", "hermann_mauguin": "I m m 2 (a-1/4,b,c+1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y+1/2,z+1/2", "-x,y+1/2,z+1/2", "x,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,y+1/2,-z", "x,y,-z", "-x+1/2,y+1/2,z", "x+1/2,y,z+1/2", "-x,y+1/2,-z+1/2", "x+1/2,y,-z+1/2", "-x,y+1/2,z+1/2"], "universal_h_m": "C m c 21 (b,c+1/4,a)", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2 (y-1/4,z,x)", "hermann_mauguin": "C m c 21 (b,c+1/4,a)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,y,-z+1/2", "x,y,-z", "-x+1/2,y,z+1/2", "x+1/2,y+1/2,z", "-x,y+1/2,-z+1/2", "x+1/2,y+1/2,-z", "-x,y+1/2,z+1/2"], "universal_h_m": "A m a 2 (b+1/4,c+1/4,a-1/4)", "number": 40, "schoenflies": "C2v^16", "hall": " A 2 -2a (y-1/4,z+1/4,x-1/4)", "hermann_mauguin": "A m a 2 (b+1/4,c+1/4,a-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,y,-z", "x,y,-z", "-x+1/2,y,z", "x+1/2,y+1/2,z+1/2", "-x,y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2", "-x,y+1/2,z+1/2"], "universal_h_m": "I m m 2 (b,c-1/4,a)", "number": 44, "schoenflies": "C2v^20", "hall": " I 2 -2 (y+1/4,z,x)", "hermann_mauguin": "I m m 2 (b,c-1/4,a)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,y,-z", "-x,y+1/2,z+1/2", "-x,y+1/2,-z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,y,-z+1/2", "-x,y,z", "x+1/2,y,-z+1/2", "x,y+1/2,z+1/2", "-x+1/2,y+1/2,-z", "-x,y+1/2,z+1/2", "x+1/2,y+1/2,-z"], "universal_h_m": "A m a 2 (-a+1/4,c+1/4,b-1/4)", "number": 40, "schoenflies": "C2v^16", "hall": " A 2 -2a (-x+1/4,z+1/4,y-1/4)", "hermann_mauguin": "A m a 2 (-a+1/4,c+1/4,b-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "-x,y,z", "-x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,y+1/2,-z+1/2", "-x,y,z", "x,y+1/2,-z+1/2", "x+1/2,y,z+1/2", "-x+1/2,y+1/2,-z", "-x+1/2,y,z+1/2", "x+1/2,y+1/2,-z"], "universal_h_m": "C m c 21 (-a,c+1/4,b)", "number": 36, "schoenflies": "C2v^12", "hall": " C 2c -2 (-x,z,y-1/4)", "hermann_mauguin": "C m c 21 (-a,c+1/4,b)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "-x,y,z", "-x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,y,-z+1/2", "x,y,-z+1/2", "-x,y,z", "x+1/2,y+1/2,z+1/2", "-x+1/2,y+1/2,-z", "x+1/2,y+1/2,-z", "-x+1/2,y+1/2,z+1/2"], "universal_h_m": "I m m 2 (b-1/4,c,a+1/4)", "number": 44, "schoenflies": "C2v^20", "hall": " I 2 -2 (y,z-1/4,x+1/4)", "hermann_mauguin": "I m m 2 (b-1/4,c,a+1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z", "-x,y,z", "-x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,-y+1/2,z", "-x+1/2,y,z", "x+1/2,-y+1/2,z", "x,y+1/2,z+1/2", "-x,-y,z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y,z+1/2"], "universal_h_m": "A m a 2 (a,b+1/4,c-1/4)", "number": 40, "schoenflies": "C2v^16", "hall": " A 2 -2a (x,y-1/4,z+1/4)", "hermann_mauguin": "A m a 2 (a,b+1/4,c-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z"]}, {"symops": ["x,y,z", "-x+1/2,-y,z", "x,-y+1/2,z", "-x+1/2,y+1/2,z", "x+1/2,y,z+1/2", "-x,-y,z+1/2", "x+1/2,-y+1/2,z+1/2", "-x,y+1/2,z+1/2"], "universal_h_m": "A m a 2 (b,-a+1/4,c-1/4)", "number": 40, "schoenflies": "C2v^16", "hall": " A 2 -2a (y-1/4,-x,z+1/4)", "hermann_mauguin": "A m a 2 (b,-a+1/4,c-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z+1/2", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,y,-z", "x,y,-z+1/2", "-x+1/2,y,z+1/2", "x+1/2,y+1/2,z", "-x,y+1/2,-z", "x+1/2,y+1/2,-z+1/2", "-x,y+1/2,z+1/2"], "universal_h_m": "A m a 2 (b,c+1/4,a-1/4)", "number": 40, "schoenflies": "C2v^16", "hall": " A 2 -2a (y-1/4,z+1/4,x)", "hermann_mauguin": "A m a 2 (b,c+1/4,a-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y,z+1/2", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "-x,y,-z+1/2", "-x+1/2,y,z", "x+1/2,y,-z+1/2", "x,y+1/2,z+1/2", "-x,y+1/2,-z", "-x+1/2,y+1/2,z+1/2", "x+1/2,y+1/2,-z"], "universal_h_m": "A m a 2 (-a,c+1/4,b-1/4)", "number": 40, "schoenflies": "C2v^16", "hall": " A 2 -2a (-x,z+1/4,y-1/4)", "hermann_mauguin": "A m a 2 (-a,c+1/4,b-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x+1/2,y,-z+1/2", "-x+1/2,y+1/2,z+1/2", "-x,y+1/2,-z"]}, {"symops": ["x,y,z", "x,-y,-z", "-x,y,-z", "-x,-y,z", "-x+1/2,-y,-z", "-x+1/2,y,z", "x+1/2,-y,z", "x+1/2,y,-z", "x,y+1/2,z+1/2", "x,-y+1/2,-z+1/2", "-x,y+1/2,-z+1/2", "-x,-y+1/2,z+1/2", "-x+1/2,-y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2"], "universal_h_m": "C c c m (c,a,b-1/4)", "number": 66, "schoenflies": "D2h^20", "hall": "-C 2 2c (z+1/4,x,y)", "hermann_mauguin": "C c c m (c,a,b-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "-x,y,-z", "-x,-y,z", "x,-y,-z", "-x,-y+1/2,-z", "x,-y+1/2,z", "x,y+1/2,-z", "-x,y+1/2,z", "x+1/2,y,z+1/2", "-x+1/2,y,-z+1/2", "-x+1/2,-y,z+1/2", "x+1/2,-y,-z+1/2", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,-y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2"], "universal_h_m": "C c c m (b,c,a-1/4)", "number": 66, "schoenflies": "D2h^20", "hall": "-C 2 2c (y,z+1/4,x)", "hermann_mauguin": "C c c m (b,c,a-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "-x,-y,-z+1/2", "x,y,-z+1/2", "-x,y,z+1/2", "x,-y,z+1/2", "x+1/2,y+1/2,z", "-x+1/2,-y+1/2,z", "x+1/2,-y+1/2,-z", "-x+1/2,y+1/2,-z", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"], "universal_h_m": "C c c m (a,b,c-1/4)", "number": 66, "schoenflies": "D2h^20", "hall": "-C 2 2c (x,y,z+1/4)", "hermann_mauguin": "C c c m (a,b,c-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "-x+1/2,-y+1/2,z", "x,-y+1/2,-z+1/2", "-x+1/2,y,-z+1/2", "-x+1/2,-y+1/2,-z+1/2", "x,y,-z+1/2", "-x+1/2,y,z", "x,-y+1/2,z", "x,y+1/2,z+1/2", "-x+1/2,-y,z+1/2", "x,-y,-z", "-x+1/2,y+1/2,-z", "-x+1/2,-y,-z", "x,y+1/2,-z", "-x+1/2,y+1/2,z+1/2", "x,-y,z+1/2", "x+1/2,y,z+1/2", "-x,-y+1/2,z+1/2", "x+1/2,-y+1/2,-z", "-x,y,-z", "-x,-y+1/2,-z", "x+1/2,y,-z", "-x,y,z+1/2", "x+1/2,-y+1/2,z+1/2", "x+1/2,y+1/2,z", "-x,-y,z", "x+1/2,-y,-z+1/2", "-x,y+1/2,-z+1/2", "-x,-y,-z+1/2", "x+1/2,y+1/2,-z+1/2", "-x,y+1/2,z", "x+1/2,-y,z"], "universal_h_m": "F m m m (a-1/4,b-1/4,c-1/4)", "number": 69, "schoenflies": "D2h^23", "hall": "-F 2 2 (x+1/4,y+1/4,z+1/4)", "hermann_mauguin": "F m m m (a-1/4,b-1/4,c-1/4)", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,-y,z", "x,-y,-z", "-x,y,-z", "-x+1/2,-y+1/2,-z+1/2", "x+1/2,y+1/2,-z+1/2", "-x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2"]}, {"symops": ["x,y,z", "x,-y+1/2,-z+1/2", "-x+1/2,y,-z+1/2", "-x+1/2,-y+1/2,z", "-x,-y+1/2,-z+1/2", "-x,y,z", "x+1/2,-y+1/2,z", "x+1/2,y,-z+1/2", "x,y+1/2,z+1/2", "x,-y,-z", 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"-y,x+1/2,-z+1/2", "-x,y+1/2,z", "-y,-x,z", "x+1/2,-y,z", "y+1/2,x+1/2,z", "-z,-x,-y+1/2", "x+1/2,-z,-y+1/2", "z+1/2,x+1/2,-y+1/2", "-x,z+1/2,-y+1/2", "-z,x+1/2,y", "-x,-z,y", "z+1/2,-x,y", "x+1/2,z+1/2,y", "-y,-z,-x+1/2", "-y,z+1/2,x", "-z,-y,x", "y+1/2,-z,x", "z+1/2,y+1/2,x", "y+1/2,z+1/2,-x+1/2", "-z,y+1/2,-x+1/2", "z+1/2,-y,-x+1/2"], "universal_h_m": "F m -3 m (a-1/4,b-1/4,c-1/4)", "number": 225, "schoenflies": "Oh^5", "hall": "-F 4 2 3 (x+1/4,y+1/4,z+1/4)", "hermann_mauguin": "F m -3 m (a-1/4,b-1/4,c-1/4)", "crystal_class": "cubic", "ncsym": ["x,y,z", "-y+1/2,x+1/2,z+1/2", "-x,-y,z", "y+1/2,-x+1/2,z+1/2", "x,-y,-z", "y+1/2,x+1/2,-z+1/2", "-x,y,-z", "-y+1/2,-x+1/2,-z+1/2", "z,x,y", "-x+1/2,z+1/2,y+1/2", "-z,-x,y", "x+1/2,-z+1/2,y+1/2", "z,-x,-y", "x+1/2,z+1/2,-y+1/2", "-z,x,-y", "-x+1/2,-z+1/2,-y+1/2", "y,z,x", "y,-z,-x", "z+1/2,y+1/2,-x+1/2", "-y,z,-x", "-z+1/2,-y+1/2,-x+1/2", "-y,-z,x", "z+1/2,-y+1/2,x+1/2", "-z+1/2,y+1/2,x+1/2", "-x+1/2,-y+1/2,-z+1/2", "y,-x,-z", "x+1/2,y+1/2,-z+1/2", "-y,x,-z", "-x+1/2,y+1/2,z+1/2", "-y,-x,z", "x+1/2,-y+1/2,z+1/2", "y,x,z", "-z+1/2,-x+1/2,-y+1/2", "x,-z,-y", "z+1/2,x+1/2,-y+1/2", "-x,z,-y", "-z+1/2,x+1/2,y+1/2", "-x,-z,y", "z+1/2,-x+1/2,y+1/2", "x,z,y", "-y+1/2,-z+1/2,-x+1/2", "-y+1/2,z+1/2,x+1/2", "-z,-y,x", "y+1/2,-z+1/2,x+1/2", "z,y,x", "y+1/2,z+1/2,-x+1/2", "-z,y,-x", "z,-y,-x"]}, {"symops": ["x,y,z", "-y,x,z", "-x,-y,z", "y,-x,z", "-x+1/2,y+1/2,z", "-y+1/2,-x+1/2,z", "x+1/2,-y+1/2,z", "y+1/2,x+1/2,z", "x,y,z+1/2", "-y,x,z+1/2", "-x,-y,z+1/2", "y,-x,z+1/2", "-x+1/2,y+1/2,z+1/2", "-y+1/2,-x+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2", "y+1/2,x+1/2,z+1/2"], "universal_h_m": "P 4 b m (a,b,2*c)", "number": 100, "schoenflies": "C4v^2", "hall": " P 4 -2ab (x,y,1/2*z)", "hermann_mauguin": "P 4 b m", "crystal_class": "tetragonal", "ncsym": ["x,y,z", "-y,x,z", "-x,-y,z", "y,-x,z", "-x+1/2,y+1/2,z", "-y+1/2,-x+1/2,z", "x+1/2,-y+1/2,z", "y+1/2,x+1/2,z", "x,y,z+1/2", "-y,x,z+1/2", "-x,-y,z+1/2", "y,-x,z+1/2", "-x+1/2,y+1/2,z+1/2", "-y+1/2,-x+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2", "y+1/2,x+1/2,z+1/2"]}, {"symops": ["x,y,z", "x,-y,z+1/2", "x+1/2,y,z+1/2", "x+1/2,-y,z", "x+1/4,y+1/2,z+3/4", "x+1/4,-y+1/2,z+1/4", "x+3/4,y+1/2,z+1/4", "x+3/4,-y+1/2,z+3/4"], "universal_h_m": "C 1 c 1 (2*a+c,b,c)", "number": 9, "schoenflies": "Cs^4", "hall": " C -2yc (1/2*x,y,-1/2*x+z)", "hermann_mauguin": "C 1 c 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "x,-y,z+1/2", "x+1/2,y,z+1/2", "x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x,y,z", "x,-y,z+1/2", "-x,-y,z+1/2", "x+1/2,y,z", "-x+1/2,y,z", "x+1/2,-y,z+1/2", "-x+1/2,-y,z+1/2"], "universal_h_m": "P m c 21 (2*a,b,c)", "number": 26, "schoenflies": "C2v^2", "hall": " P 2c -2 (1/2*x,y,z)", "hermann_mauguin": "P m c 21", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,y,z", "x,-y,z+1/2", "-x,-y,z+1/2"]}, {"symops": ["x,y,z", "x,-y,z", "x,y,-z", "x,-y,-z", "x,y+1/2,z+1/2", "x,-y+1/2,z+1/2", "x,y+1/2,-z+1/2", "x,-y+1/2,-z+1/2", "x+1/2,y,z", "x+1/2,-y,z", "x+1/2,y,-z", "x+1/2,-y,-z", "x+1/2,y+1/2,z+1/2", "x+1/2,-y+1/2,z+1/2", "x+1/2,y+1/2,-z+1/2", "x+1/2,-y+1/2,-z+1/2"], "universal_h_m": "C m m 2 (2*c,a,b)", "number": 35, "schoenflies": "C2v^11", "hall": " C 2 -2 (1/2*z,x,y)", "hermann_mauguin": "C m m 2", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "x,-y,z", "x,y,-z", "x,-y,-z"]}, {"symops": ["x,y,z", "-x+1/4,-y,z+1/2", "-x,-y,-z", "x-1/4,y,-z-1/2", "x+3/4,y+1/2,z", "-x+1,-y+1/2,z+1/2", "-x+3/4,-y+1/2,-z", "x+1/2,y+1/2,-z-1/2", "x+1/4,y+1/2,z", "-x+1/2,-y+1/2,z+1/2", "-x+1/4,-y+1/2,-z", "x,y+1/2,-z-1/2", "x+1/2,y,z", "-x+3/4,-y,z+1/2", "-x+1/2,-y,-z", "x+1/4,y,-z-1/2"], "universal_h_m": "P 1 21/c 1 (2*c,2*a+c,b)", "number": 14, "schoenflies": "C2h^5", "hall": "-P 2ybc (-1/4*x+1/2*z,1/2*x,y)", "hermann_mauguin": "P 1 21/c 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/4,-y,z+1/2", "-x,-y,-z", "x-1/4,y,-z-1/2"]}, {"symops": ["x,y,z", "-x,y,z", "x,y,-z+1/2", "-x,y,-z+1/2", "-x,-y,-z", "x,-y,-z", "-x,-y,z-1/2", "x,-y,z-1/2", "x+1/2,y,z", "-x+1/2,y,z", "x+1/2,y,-z+1/2", "-x+1/2,y,-z+1/2", "-x+1/2,-y,-z", "x+1/2,-y,-z", "-x+1/2,-y,z-1/2", "x+1/2,-y,z-1/2"], "universal_h_m": "P m m a (2*b,c,a)", "number": 51, "schoenflies": "D2h^5", "hall": "-P 2a 2a (1/2*y,z,x)", "hermann_mauguin": "P m m a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,y,z", "x,y,-z+1/2", "-x,y,-z+1/2", "-x,-y,-z", "x,-y,-z", "-x,-y,z-1/2", "x,-y,z-1/2"]}, {"symops": ["x,y,z", "-x,y,z", "x,y,-z", "-x,y,-z", "x+1/2,y,z", "-x+1/2,y,z", "x+1/2,y,-z", "-x+1/2,y,-z", "-x,-y+2/3,-z+1/2", "x,-y+2/3,-z+1/2", "-x,-y+2/3,z+1/2", "x,-y+2/3,z+1/2", "-x+1/2,-y+2/3,-z+1/2", "x+1/2,-y+2/3,-z+1/2", "-x+1/2,-y+2/3,z+1/2", "x+1/2,-y+2/3,z+1/2"], "universal_h_m": "P m m a (2*b+1/4,c,a-1/3)", "number": 51, "schoenflies": "D2h^5", "hall": "-P 2a 2a (1/2*y,z+1/3,x-1/4)", "hermann_mauguin": "P m m a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,y,z", "x,y,-z", "-x,y,-z", "x+1/2,y,z", "-x+1/2,y,z", "x+1/2,y,-z", "-x+1/2,y,-z"]}, {"symops": ["x,y,z", "-x,y,-z+1/2", "x,y+1/2,z", "-x,y+1/2,-z+1/2", "-x,-y,-z", "x,-y,z+1/2", "-x,-y+1/2,-z", "x,-y+1/2,z+1/2"], "universal_h_m": "P 1 2/c 1 (a,2*b,c)", "number": 13, "schoenflies": "C2h^4", "hall": "-P 2yc (x,1/2*y,z)", "hermann_mauguin": "P 1 2/c 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x,y,-z+1/2", "x,y+1/2,z", "-x,y+1/2,-z+1/2"]}, {"symops": ["x,y,z", "-x,y,z", "x,-y,z", "-x,-y,z", "x+1/2,y,z", "-x+1/2,y,z", "x+1/2,-y,z", "-x+1/2,-y,z", "x,y+1/2,z", "-x,y+1/2,z", "x,-y+1/2,z", "-x,-y+1/2,z", "x+1/2,y+1/2,z", "-x+1/2,y+1/2,z", "x+1/2,-y+1/2,z", "-x+1/2,-y+1/2,z", "-x,-y,-z", "x,-y,-z", "-x,y,-z", "x,y,-z", "-x+1/2,-y,-z", "x+1/2,-y,-z", "-x+1/2,y,-z", "x+1/2,y,-z", "-x,-y+1/2,-z", "x,-y+1/2,-z", "-x,y+1/2,-z", "x,y+1/2,-z", "-x+1/2,-y+1/2,-z", "x+1/2,-y+1/2,-z", "-x+1/2,y+1/2,-z", "x+1/2,y+1/2,-z"], "universal_h_m": "P m m m (2*a,2*b,c)", "number": 47, "schoenflies": "D2h^1", "hall": "-P 2 2 (1/2*x,1/2*y,z)", "hermann_mauguin": "P m m m", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x,y,z", "x,-y,z", "-x,-y,z", "x+1/2,y,z", "-x+1/2,y,z", "x+1/2,-y,z", "-x+1/2,-y,z"]}, {"symops": ["x,y,z", "-x+1/2,y+1/2,-z"], "universal_h_m": "P 1 21 1 (a-1/4,b,c)", "number": 4, "schoenflies": "C2^2", "hall": " P 2yb (x+1/4,y,z)", "hermann_mauguin": "P 1 21 1", "crystal_class": "monoclinic", "ncsym": ["x,y,z", "-x+1/2,y+1/2,-z"]}, {"symops": ["x,y,z", "-x+1/2,y+1/2,-z", "-x,-y,z+1/2", "x+1/2,-y+1/2,-z+1/2", "-x,-y,-z+1/2", "x+1/2,-y+1/2,z+1/2", "x,y,-z", "-x+1/2,y+1/2,z"], "universal_h_m": "P n m a (c,a-1/4,b)", "number": 62, "schoenflies": "D2h^16", "hall": "-P 2ac 2n (z,x,y+1/4)", "hermann_mauguin": "P n m a", "crystal_class": "orthorhombic", "ncsym": ["x,y,z", "-x+1/2,y+1/2,-z", "-x,-y,z+1/2", "x+1/2,-y+1/2,-z+1/2", "-x,-y,-z+1/2", "x+1/2,-y+1/2,z+1/2", "x,y,-z", "-x+1/2,y+1/2,z"]}] diff --git a/pymatgen/symmetry/symm_ops.yaml b/pymatgen/symmetry/symm_ops.yaml index fad2b9c9745..2b496afcf1c 100644 --- a/pymatgen/symmetry/symm_ops.yaml +++ b/pymatgen/symmetry/symm_ops.yaml @@ -24074,7 +24074,7 @@ - x+1/2,-y,z+1/2 - -x+1/2,-y,z+1/2 universal_h_m: P m c 21 (2*a,b,c) -- crystal_class: orthorombic +- crystal_class: orthorhombic hall: ' C 2 -2 (1/2*z,x,y)' hermann_mauguin: C m m 2 ncsym: diff --git a/tests/analysis/gb/test_grain.py b/tests/analysis/gb/test_grain.py index 58fefc627a0..0d73bb2f771 100644 --- a/tests/analysis/gb/test_grain.py +++ b/tests/analysis/gb/test_grain.py @@ -241,10 +241,10 @@ def test_get_ratio(self): # tetragonal Pa_ratio = self.GB_Pa.get_ratio(max_denominator=5) assert Pa_ratio == [2, 3] - # orthorombic + # orthorhombic Br_ratio = self.GB_Br.get_ratio(max_denominator=5) assert Br_ratio == [21, 20, 5] - # orthorombic + # orthorhombic Bi_ratio = self.GB_Bi.get_ratio(max_denominator=5) assert Bi_ratio == [19, 5] diff --git a/tests/files/KPOINTS.band b/tests/files/KPOINTS.band index e8c8e185675..588e23b1a97 100644 --- a/tests/files/KPOINTS.band +++ b/tests/files/KPOINTS.band @@ -1,5 +1,5 @@ -ORC (orthorombic) G-X-S-Y-G-Z-U-R-T-Z Y-T U-X S-R -16 ! 16 grids +ORC (orthorhombic) G-X-S-Y-G-Z-U-R-T-Z Y-T U-X S-R +16 ! 16 grids Line-mode reciprocal 0.000 0.000 0.000 ! \Gamma