Structures by Point Group

1 | 2 | 2/m | 3 | 3m | 4 | 4/mmm | 4mm | 6/m | 6/mmm | 6mm | 23 | 32 | 222 | 422 | 432 | 622 | -3 | -3m | -4 | -6m2 | -42m | -43m | m | m-3 | m-3m | mm2 | mmm


	1
	`aP4-Li (Direct)`
	`aP4-Li (Inverse)`
	`cP12-FeS2 (Direct)`
	`cP12-FeS2 (Inverse)`

	2
	`mC80-H5O2 (Inverse)`
	`mP9-GePb3O5 (Inverse)`
	`mP12-SiO2 (Direct)`
	`mP12-SiO2 (Inverse)`
	`mP24-SiO2 (Direct)`
	`mP24-SiO2 (Inverse)`
	`mP36-SiO2 (Direct)`

	2/m
	`mC4-Ce (Inverse)`
	`mC4-ReS2 (Inverse)`
	`mC12-Te (Inverse)`
	`mC336-SO2 (Inverse)`
	`mC384-Al19.2Co12.8P32O128 (Inverse)`
	`mP24-SiO2 (Direct)`
	`mP24-SiO2 (Inverse)`
	`mP36-BeP2O6 (Direct)`
	`mP212-Zn4In16S33 (Inverse)`
	`mP288-SiO2 (Inverse)`

	3
	`hP15-B2O3 (Direct)`
	`hP15-B2O3 (Inverse)`
	`hP21-NaAlSiO4 (Direct)`
	`hR4-XeO3 (Direct)`
	`hR4-XeO3 (Inverse)`
	`hR5-Ag3SI (Direct)`

	3m
	`hP4-AlAgS2 (Direct)`
	`hP5-Zn7O6 (Direct)`
	`hP14-RbLiCrO4 (Direct)`
	`hP14-RbLiCrO4 (Inverse)`
	`hP28-Si3N4 (Inverse)`
	`hP28-Si3N5 (Inverse)`
	`hP42-Rb3Al3B3O10F (Direct)`
	`hR7-ThB6 (Direct)`
	`hR10-FeBiO3 (Inverse)`

	4
	`tI40-Cr4AgBiO14 (Inverse)`

	4/mmm
	`tI2-MoPbO4 (Inverse)`
	`tI2-Pa (Inverse)`
	`tI8-YMn2 (Direct)`
	`tI8-YMn2 (Inverse)`
	`tI8-YMn (Inverse)`
	`tI12-HfV2 (Direct)`
	`tI12-HfV2 (Inverse)`
	`tI28-Cu2Ag2O3 (Direct)`
	`tI28-Fe2SnS4 (Direct)`
	`tI28-Fe2SnS4 (Inverse)`
	`tI28-Mn2CoO4 (Inverse)`
	`tP4-AgI (Inverse)`
	`tP4-PdO (Direct)`
	`tP4-PdO (Inverse)`
	`tP4-PtS (Direct)`
	`tP4-PtS (Inverse)`
	`tP8-Cs (Inverse)`
	`tP14-NbPO5 (Inverse)`
	`tP20-ZnNiC4N4 (Direct)`
	`tP32-AgSbO6 (Inverse)`
	`tP64-AlF3 (Inverse)`
	`tP96-SiO2 (Inverse)`

	4mm
	`tI20-Ga2TeSe2 (Inverse)`
	`tI60-K2MgO2 (Direct)`
	`tP5-BaTiO3 (Inverse)`
	`tP5-KNbO3 (Inverse)`
	`tP26-Mg(ClO5)2 (Inverse)`
	`tP36-Sr4LiSi4N8F (Direct)`

	6/m
	`hP14-SiN2 (Direct)`
	`hP14-SiN2 (Direct)`
	`hP44-CN3 (Direct)`

	6/mmm
	`hP2-Be (Inverse)`
	`hP3-Hg (Direct)`
	`hP4-Ge (Direct)`
	`hP4-Ge (Inverse)`
	`hP4-La (Inverse)`
	`hP4-O (Direct)`
	`hP6-CaCu9 (Direct)`
	`hP6-Tb (Direct)`
	`hP12-Cu9Se5 (Direct)`
	`hP12-Mn3N7 (Inverse)`
	`hP12-SiO (Direct)`
	`hP12-SiO (Inverse)`
	`hP12-WO3 (Direct)`
	`hP20-H3O (Direct)`
	`hP20-H3O (Inverse)`
	`hP20-ZnC2N2 (Direct)`
	`hP20-ZnC2N2 (Inverse)`
	`hP22-K4S3O12 (Inverse)`

	6mm
	`hP12-H2NF (Direct)`
	`hP12-H2NF (Inverse)`
	`hP30-H5O2 (Direct)`
	`hP30-H5O2 (Inverse)`
	`hP36-H2O (Direct)`
	`hP36-H2O (Direct)`
	`hP36-H2O (Inverse)`
	`hP36-H2O (Inverse)`

	23
	`cF120-Er8Fe16D23.52 (Inverse)`
	`cF360-Zr4H47.99936N12F28.0032 (Inverse)`
	`cI36-NO2 (Direct)`
	`cI36-NO2 (Inverse)`
	`cI80-Er2O3 (Inverse)`
	`cI80-Sc2O3 (Inverse)`
	`cP12-NiSbS (Direct)`
	`cP12-NiSbS (Inverse)`
	`cP16-H3N (Inverse)`
	`cP24-SiO2 (Direct)`
	`cP24-SiO2 (Inverse)`
	`cP44-ZrW2O8 (Direct)`

	32
	`hP3-Se (Direct)`
	`hP3-Se (Direct)`
	`hP3-Se (Inverse)`
	`hP3-Se (Inverse)`
	`hP3-Sm (Direct)`
	`hP5-Nd2O3 (Direct)`
	`hP6-HgS (Inverse)`
	`hP9-S (Inverse)`
	`hP21-CaH12(BrO3)2 (Inverse)`
	`hP27-BeCl2 (Inverse)`
	`hR5-Ni3S2 (Direct)`
	`hR5-Ni3S2 (Direct)`
	`hR5-Ni3S2 (Inverse)`
	`hR5-Ni3S2 (Inverse)`

	222
	`oC48-H2O (Direct)`
	`oC48-H2O (Direct)`
	`oC48-SiO2 (Direct)`
	`oC48-SiO2 (Inverse)`

	422
	`tP8-Ca (Inverse)`
	`tP8-O (Inverse)`
	`tP12-SiO2 (Direct)`
	`tP12-SiO2 (Inverse)`
	`tP16-HO (Direct)`
	`tP16-HO (Inverse)`
	`tP20-UB4 (Direct)`
	`tP20-UB4 (Inverse)`
	`tP28-Mg(FeO2)2 (Inverse)`
	`tP28-Ta0.6Ti3.4Zn7.7O16 (Inverse)`
	`tP28-TiZn2O4 (Inverse)`
	`tP36-H2O (Direct)`
	`tP68-ZnH2C7NO6 (Inverse)`

	432
	`cF264-Ca24Mg8B16C8O73 (Inverse)`
	`cI48-Ag3AuSe2 (Inverse)`
	`cI48-Ag3AuSe2 (Inverse)`
	`cP4-X (Direct)`
	`cP4-X (Inverse)`
	`cP33-RbNO3 (Direct)`
	`cP33-RbNO3 (Inverse)`

	622
	`hP72-TiH8C4NO10 (Direct)`

	-3
	`hP13-BaCo6P6O12 (Inverse)`
	`hR8-Si (Direct)`
	`hR18-BNCl (Direct)`
	`hR18-BNCl (Inverse)`
	`hR36-H2O (Direct)`

	-3m
	`hP3-MgO2 (Direct)`
	`hP3-SnS2 (Direct)`
	`hP3-Ti2O (Direct)`
	`hP4-CuNiSb2 (Direct)`
	`hP4-CuNiSb2 (Inverse)`
	`hP5-NaZn1.5Ge0.5As2 (Inverse)`
	`hR1-Hg (Direct)`
	`hR1-Hg (Inverse)`
	`hR1-Po (Inverse)`
	`hR2-C (Direct)`
	`hR2-C (Direct)`
	`hR2-C (Inverse)`
	`hR4-NaN3 (Direct)`
	`hR6-As (Inverse)`
	`hR6-As (Inverse)`
	`hR6-O (Direct)`
	`hR8-FeF3 (Inverse)`
	`hR8-VF3 (Inverse)`
	`hR8-ZrCoF6 (Inverse)`
	`hR12-B (Inverse)`
	`hR14-B12.64P1.36 (Inverse)`
	`hR54-CsTe2O6 (Direct)`
	`hR54-CsTe2O6 (Inverse)`
	`hR72-H2O (Direct)`
	`hR108-Be9F26 (Inverse)`
	`hR108-Si2O5 (Inverse)`

	-4
	`tI12-BPO4 (Direct)`
	`tI12-BPO4 (Inverse)`
	`tI12-InPS4 (Direct)`
	`tI12-InPS4 (Inverse)`
	`tI14-Hg2GeSe4 (Inverse)`
	`tP12-Ga0.71B0.29PO4 (Direct)`
	`tP12-Ga0.71B0.29PO4 (Inverse)`
	`tP12-PNO (Direct)`
	`tP12-PNO (Inverse)`

	-6m2
	`hP20-CsSO3 (Inverse)`

	-42m
	`tI12-PNO (Direct)`
	`tI12-PNO (Inverse)`
	`tI14-Cu2WS4 (Inverse)`
	`tI14-Ga2HgSe4 (Direct)`
	`tI14-Ga2HgSe4 (Inverse)`
	`tI14-Mn1.5Ga4.34S8 (Inverse)`
	`tI16-AlAgS2 (Direct)`
	`tI16-AlAgS2 (Inverse)`
	`tI16-CoSiCu2S4 (Direct)`
	`tI16-CoSiCu2S4 (Inverse)`
	`tI16-In4.8Ag1.6Te8 (Direct)`
	`tI16-In4.8Ag1.6Te8 (Inverse)`
	`tI16-VAg3O4 (Direct)`
	`tI16-VAg3O4 (Inverse)`
	`tI28-InAgGeSe4 (Inverse)`
	`tI40-BeSO8 (Direct)`
	`tI40-BeSO8 (Inverse)`
	`tI40-KPD4O4 (Direct)`
	`tI48-GeS2 (Direct)`
	`tI48-GeS2 (Inverse)`
	`tI80-VP2O7 (Direct)`
	`tI280-In12Te23 (Inverse)`
	`tI576-SiO2 (Inverse)`
	`tP7-Cu2HgI4 (Direct)`
	`tP7-Cu2HgI4 (Inverse)`
	`tP10-Pd4S (Inverse)`
	`tP12-AlCuBr4 (Inverse)`
	`tP16-FeCuSe2 (Inverse)`
	`tP24-SiO2 (Inverse)`
	`tP38-D10SO8 (Direct)`

	-43m
	`cF24-AgClO4 (Direct)`
	`cF24-AgClO4 (Inverse)`
	`cF44-Cu10Se (Direct)`
	`cF48-Be4TeO7 (Direct)`
	`cF48-Be4TeO7 (Inverse)`
	`cI10-SiF4 (Inverse)`
	`cI36-SiO2 (Direct)`
	`cI36-SiO2 (Inverse)`
	`cI76-ZnGa2Te4O12 (Inverse)`
	`cI88-Al3Si3Ag4O12 (Direct)`
	`cI116-Ca6Al7O16 (Direct)`
	`cI144-GaSe2 (Inverse)`
	`cP8-NbCu3S4 (Direct)`
	`cP8-NbCu3S4 (Inverse)`
	`cP11-Ti4H7 (Inverse)`
	`cP16-Ag3PO4 (Inverse)`
	`cP46-NaAlSiClO (Direct)`
	`cP138-Cd6Se7O (Direct)`
	`cP138-Cd6Se7O (Inverse)`

	m
	`mC20-Ga2Se3 (Inverse)`
	`mC24-Ag2TeS3 (Inverse)`
	`mC64-P3N5 (Direct)`

	m-3
	`cF208-Na3CoC2ClO6 (Inverse)`
	`cI16-Si (Direct)`
	`cI16-Si (Inverse)`
	`cI80-U2N3 (Inverse)`
	`cI96-TiTe3O8 (Inverse)`
	`cP8-N (Direct)`
	`cP12-As2Pt (Direct)`
	`cP12-As2Pt (Inverse)`
	`cP12-SiO2 (Inverse)`
	`cP12-SiP2 (Direct)`
	`cP12-SiP2 (Inverse)`
	`cP12-Te2Rh (Inverse)`
	`cP16-CuBr (Direct)`
	`cP20-CsCd(NO2)3 (Direct)`

	m-3m
	`cF4-Cu (Direct)`
	`cF4-Cu (Inverse)`
	`cF8-C (Direct)`
	`cF8-C (Inverse)`
	`cF12-Li2O (Direct)`
	`cF24-NaPt2 (Direct)`
	`cF24-NaPt2 (Inverse)`
	`cF24-SiO2 (Direct)`
	`cF24-SiO2 (Inverse)`
	`cF24-YbIn0.81Cu4Rh0.19 (Direct)`
	`cF24-YbIn0.81Cu4Rh0.19 (Inverse)`
	`cF40-ZnC2N2 (Direct)`
	`cF40-ZnC2N2 (Inverse)`
	`cF52-UB12 (Inverse)`
	`cF56-Ag2MoO4 (Direct)`
	`cF56-Ag2MoO4 (Inverse)`
	`cF56-Cr2Co0.2Cu0.8Se4 (Direct)`
	`cF56-Cr2Co0.2Cu0.8Se4 (Inverse)`
	`cF60-Cu6PbO8 (Inverse)`
	`cF64-FeF3 (Direct)`
	`cF64-FeF3 (Inverse)`
	`cF64-FeNiS2 (Direct)`
	`cF68-Co9S8 (Inverse)`
	`cF72-CsAl0.38Te1.62O6 (Direct)`
	`cF72-CsAl0.38Te1.62O6 (Inverse)`
	`cF72-In6Ge2PtO9 (Inverse)`
	`cF80-As2O3 (Inverse)`
	`cF80-Sb2O3 (Inverse)`
	`cF88-Pr2Zr2O7 (Direct)`
	`cF88-Pr2Zr2O7 (Inverse)`
	`cF120-Al11O4 (Inverse)`
	`cF136-Ge (Inverse)`
	`cF136-Si (Inverse)`
	`cF184-Cu8Sn3S12 (Inverse)`
	`cF288-AlH2.25O1.875F1.5 (Direct)`
	`cF288-AlH2.25O1.875F1.5 (Inverse)`
	`cF2304-SiO2 (Direct)`
	`cF2304-SiO2 (Inverse)`
	`cI2-D (Inverse)`
	`cI64-FeSnH5O6 (Inverse)`
	`cP1-Po (Direct)`
	`cP1-Po (Inverse)`
	`cP4-Cu3N (Direct)`
	`cP4-Cu3N (Inverse)`
	`cP6-Ag2O (Inverse)`
	`cP6-Cu2O (Inverse)`
	`cP7-SiB6 (Direct)`
	`cP7-SiB6 (Inverse)`
	`cP8-DIN6 (Direct)`
	`cP8-DIN6 (Inverse)`
	`cP14-Pt3O4 (Inverse)`
	`cP14-SiC2N4 (Direct)`
	`cP26-Cr (Direct)`
	`cP26-UBe13 (Inverse)`
	`cP86-Al12Si12Ag11.48O48 (Inverse)`

	mm2
	`oA12-SO2 (Direct)`
	`oA12-SO2 (Inverse)`
	`oA28-AlPbO3 (Direct)`
	`oA336-SiO2 (Inverse)`
	`oF96-In2S5 (Direct)`
	`oF96-In2S5 (Inverse)`
	`oI108-SiO2 (Direct)`
	`oP4-SnO (Direct)`
	`oP4-SnO (Inverse)`
	`oP6-CoTe2 (Inverse)`
	`oP12-CdP2 (Direct)`
	`oP16-Cd2GaAgS4 (Direct)`
	`oP16-Cd2GaAgS4 (Inverse)`
	`oP16-CdCu2GeS4 (Direct)`
	`oP16-CdCu2GeS4 (Inverse)`
	`oP16-Li2MnSiO4 (Inverse)`
	`oP16-ZnSiCu2S4 (Direct)`
	`oP16-ZnSiCu2S4 (Inverse)`

	mmm
	`oC4-U (Direct)`
	`oC8-C (Direct)`
	`oC16-Ca (Inverse)`
	`oC24-Si (Direct)`
	`oC40-Pb2O3 (Inverse)`
	`oC672-Si0.91Ge0.09O2 (Inverse)`
	`oF8-BN (Direct)`
	`oF8-Pu (Inverse)`
	`oF12-TiSi2 (Inverse)`
	`oF16-Rb (Direct)`
	`oF608-ScC12O6 (Inverse)`
	`oI2-Sn (Inverse)`
	`oI4-HgO (Direct)`
	`oI12-SiO2 (Inverse)`
	`oI120-C (Inverse)`
	`oP4-Ca (Inverse)`
	`oP6-As2(Co,Ni,Fe) (Direct)`
	`oP6-CoTe2 (Inverse)`
	`oP6-NaO2 (Inverse)`
	`oP12-CuAsS (Direct)`
	`oP12-CuAsS (Inverse)`
	`oP20-Li2TiTeO6 (Inverse)`
	`oP24-Li1.6Sb4H2.4O12 (Inverse)`
	`oP24-SiO2 (Inverse)`
	`oP44-Te4CO6 (Direct)`
	`oP44-Te4CO6 (Inverse)`
	`oP72-Cd4P2I3 (Direct)`

Structures by Point Group

Photonic Structure Database

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