Encyclopedia of Crystallographic Prototypes

Cubic SpaceGroups

Cubic Space Groups


$P23$ $(\#195)$


A7B12C_cP20_195_ag_3e_b-001
Cd$_{8}$As$_{7}$Cl
A7B12C_cP20_195_ag_3e_b-001
    A12BC4_cP34_195_2j_ab_2e-001
PrRu$_{4}$P$_{12}$
A12BC4_cP34_195_2j_ab_2e-001
   

$F23$ $(\#196)$


A12B2C_cF60_196_h_ac_b-001
Cu$_{2}$Fe[CN]$_{6}$
A12B2C_cF60_196_h_ac_b-001
    A12B14C35D4_cF260_196_abeg_2ef_cef2h_e-001
Ca$_{14}$Zn$_{6}$Al$_{10}$O$_{35}$
A12B14C35D4_cF260_196_abeg_2ef_cef2h_e-001
    A22B5_cF432_196_abcd6efg4h_2efg-001
Li$_{22}$Si$_{5}$
A22B5_cF432_196_abcd6efg4h_2efg-001
   

$I23$ $(\#197)$


A4B_cI40_197_cde_c-001
Ga$_{4}$Ni
A4B_cI40_197_cde_c-001
    A11B3C2_cI64_197_cdf_e_c-001
Hf$_{10}$Ta$_{3}$S$_{3}$
A11B3C2_cI64_197_cdf_e_c-001
    A13B20_cI66_197_af_2cf-001
$\gamma$-Bi$_{2}$O$_{3}$
A13B20_cI66_197_af_2cf-001
   

$P2_13$ $(\#198)$


AB_cP8_198_a_a-001
$\alpha$-CO ($B21$)
AB_cP8_198_a_a-001
    AB_cP8_198_a_a-002
FeSi ($B20$)
AB_cP8_198_a_a-002
    A_cP8_198_2a-001
$\alpha$-N ($P2_{1}3$)
A_cP8_198_2a-001
   
ABC_cP12_198_a_a_a-001
Ullmanite (NiSSb, $F0_{1}$)
ABC_cP12_198_a_a_a-001
    A3B_cP16_198_b_a-001
Ammonia (NH$_{3}$, $D0_{1}$)
A3B_cP16_198_b_a-001
    ABC3_cP20_198_a_a_b-001
Sodium Chlorate (NaClO$_{3}$, $G0_{3}$)
ABC3_cP20_198_a_a_b-001
   
ABC4D_cP28_198_a_a_ab_a-001
$\alpha$-Carnegieite (NaAlSiO$_{4}$, $S6_{5}$)
ABC4D_cP28_198_a_a_ab_a-001
    AB2C4D_cP32_198_a_2a_ab_a-001
Na$_{2}$CaSiO$_{4}$ ($S6_{6}$)
AB2C4D_cP32_198_a_2a_ab_a-001
    A2B4C_cP56_198_ab_2a2b_2a-001
Cubic Cu$_{2}$OSeO$_{3}$
A2B4C_cP56_198_ab_2a2b_2a-001
   
AB6C2_cP72_198_2a_4b_ab-001
Low Temperature CsW$_{2}$O$_{6}$
AB6C2_cP72_198_2a_4b_ab-001
    A2B2C12D3_cP76_198_2a_2a_4b_b-001
Langbeinite [K$_{2}$Mg$_{2}$(SO$_{4}$)$_{3}$]
A2B2C12D3_cP76_198_2a_2a_4b_b-001
   

$I2_13$ $(\#199)$


AB_cI16_199_a_a-001
CoU ($B_{a}$)
AB_cI16_199_a_a-001
    A2B3C2_cI28_199_a_b_a-002
Corderoite ($\alpha$-Hg$_{3}$S$_{2}$Cl$_{2}$)
A2B3C2_cI28_199_a_b_a-002
    AB2_cI36_199_b_c-001
$C26_{a}$ (NO$_{2}$) (Obsolete)
AB2_cI36_199_b_c-001
   

$Pm\overline{3}$ $(\#200)$


ABC3D6_cP11_200_a_b_c_f-001
CsHgN$_{3}$O$_{6}$
ABC3D6_cP11_200_a_b_c_f-001
    A23B2C6_cP31_200_cij_ab_f-001
C-AlRuNi (Al$_{20}$Ni$_{3}$Ru$_{5}$)
A23B2C6_cP31_200_cij_ab_f-001
    A2B11_cP39_200_f_begik-001
Mg$_{2}$Zn$_{11}$ ($D8_{c}$)
A2B11_cP39_200_f_begik-001
   

$Pn\overline{3}$ $(\#201)$


AB3C_cP60_201_be_fh_g-001
KSbO$_{3}$ (High-Temperature)
AB3C_cP60_201_be_fh_g-001
    A3B11C3_cP68_201_be_efh_g-001
Bi$_{3}$Ru$_{3}$O$_{11}$
A3B11C3_cP68_201_be_efh_g-001
    A7BC3_cP88_201_e2h_e_h-001
CuMo$_{3}$Cl$_{7}$
A7BC3_cP88_201_e2h_e_h-001
   
A28B5C12_cP90_201_e2h_bd_h-001
KW$_{3}$Br$_{7}$
A28B5C12_cP90_201_e2h_bd_h-001
    A41B6_cP188_201_b2efg5h_h-001
Ce$_{6}$Cd$_{37}$
A41B6_cP188_201_b2efg5h_h-001
   

$Fm\overline{3}$ $(\#202)$


AB12C_cF56_202_a_h_b-001
$\alpha$-CuZrF$_{6}$
AB12C_cF56_202_a_h_b-001
    AB3C6D12_cF88_202_a_bc_e_h-001
K$_{3}$Co(NO$_{2}$)$_{6}$ ($J2_{4}$)
AB3C6D12_cF88_202_a_bc_e_h-001
    A6B6C_cF104_202_h_h_c-001
KB$_{6}$H$_{6}$
A6B6C_cF104_202_h_h_c-001
   
A_cF240_202_h2i-001
FCC C$_{60}$ Buckminsterfullerene
A_cF240_202_h2i-001
   

$Fd\overline{3}$ $(\#203)$


AB3C16_cF160_203_a_bc_eg-001
Rb$_{3}$AsSe$_{16}$
AB3C16_cF160_203_a_bc_eg-001
    A2BCD3E6_cF208_203_e_c_d_f_g-001
Pyrochlore (Na$_{3}$Co(CO$_{3}$)$_{2}$Cl)
A2BCD3E6_cF208_203_e_c_d_f_g-001
    A4B2C6D16E_cF232_203_e_c_f_eg_b-001
Tychite  (Na$_{6}$Mg$_{2}$SO$_{4}$(CO$_{3}$)$_{4}$)
A4B2C6D16E_cF232_203_e_c_f_eg_b-001
   

$Im\overline{3}$ $(\#204)$


A12B_cI26_204_g_a-001
Al$_{12}$W
A12B_cI26_204_g_a-001
    A3B_cI32_204_g_c-001
Skutterudite (CoAs$_{3}$, $D0_{2}$)
A3B_cI32_204_g_c-001
    A4BC12_cI34_204_c_a_g-001
LaFe$_{4}$P$_{12}$
A4BC12_cI34_204_c_a_g-001
   
AB2_cI36_204_d_g-001
Modern $C26$ (NO$_{2}$)
AB2_cI36_204_d_g-001
    A7BC12_cI40_204_bc_a_g-001
NaMn$_{7}$O$_{12}$
A7BC12_cI40_204_bc_a_g-001
    AB3C4D12_cI40_204_a_b_c_g-001
CaCu$_{3}$Mn$_{4}$O$_{12}$
AB3C4D12_cI40_204_a_b_c_g-001
   
A17B3_cI160_204_def2gh_g-001
Ru$_{3}$Be$_{17}$
A17B3_cI160_204_def2gh_g-001
    AB32C48_cI162_204_a_2efg_2gh-001
Bergman [Mg$_{32}$(Al,Zn)$_{49}$]
AB32C48_cI162_204_a_2efg_2gh-001
    A20B3_cI184_204_def3gh_g-001
YCd$_{6}$
A20B3_cI184_204_def3gh_g-001
   

$Pa\overline{3}$ $(\#205)$


A_cP8_205_c-001
$\alpha$-N ($Pa\overline{3}$)
A_cP8_205_c-001
    AB2_cP12_205_a_c-001
Pyrite (FeS$_{2}$, $C2$)
AB2_cP12_205_a_c-001
    AB_cP16_205_c_c-001
SC16 (CuCl)
AB_cP16_205_c_c-001
   
A6BC_cP32_205_d_a_b-001
NaSbF$_{6}$
A6BC_cP32_205_d_a_b-001
    A2B6C_cP36_205_c_d_a-001
Pb(NO$_{3}$)$_{2}$ ($G2_{1}$)
A2B6C_cP36_205_c_d_a-001
    A4B_cP40_205_cd_c-001
SnI$_{4}$ (D1$_{1}$)
A4B_cP40_205_cd_c-001
   
A7B2C_cP40_205_ad_c_b-001
ZrP$_{2}$O$_{7}$ ($K6_{1}$) High-Temperature
A7B2C_cP40_205_ad_c_b-001
    A2B6C6D_cP60_205_c_d_d_a-001
Zn(BrO$_{3}$)$_{2}$ $\cdot$ 6H$_{2}$O ($J1_{10}$)
A2B6C6D_cP60_205_c_d_d_a-001
    A2B6CD6_cP60_205_c_d_a_d-001
$H6_{4}$ [Ni(NO$_{3}$)$_{2}$(NH$_{3}$)$_{6}$] (Obsolete)
A2B6CD6_cP60_205_c_d_a_d-001
   
A2BC4_cP84_205_d_ac_2d-001
CaB$_{2}$O$_{4}$ (IV)
A2BC4_cP84_205_d_ac_2d-001
    AB12CD8E2_cP96_205_a_2d_b_cd_c-001
NaCr(SO$_{4}$)$_{2}$ $\cdot$ 12H$_{2}$O Alum
AB12CD8E2_cP96_205_a_2d_b_cd_c-001
    AB24CD20E2_cP192_205_a_4d_b_c3d_c-001
$\gamma$-Alum [AlNa(SO$_{4}$)$_{2}$ $\cdot$ 12H$_{2}$O, $H4_{15}$]
AB24CD20E2_cP192_205_a_4d_b_c3d_c-001
   
AB24CD28E2_cP224_205_a_4d_b_2c4d_c-001
$\alpha$-Alum [KAl(SO$_{4}$)$_{2}$ $\cdot$ 12H$_{2}$O, $H4_{13}$]
AB24CD28E2_cP224_205_a_4d_b_2c4d_c-001
    A_cP240_205_10d-001
Simple Cubic C$_{60}$ Buckminsterfullerene
A_cP240_205_10d-001
    AB2C36D2E20F2_cP252_205_a_c_6d_c_c3d_c-001
$\beta$-Alum [Al(NH$_{3}$CH$_{3}$)$_{2}$(SO$_{4}$)$_{2}$ $\cdot$ 12H$_{2}$O, $H4_{14}$]
AB2C36D2E20F2_cP252_205_a_c_6d_c_c3d_c-001
   
A2B3C6_cP264_205_2d_ab2c2d_6d-001
Ca$_{3}$Al$_{2}$O$_{6}$
A2B3C6_cP264_205_2d_ab2c2d_6d-001
   

$Ia\overline{3}$ $(\#206)$


A_cI16_206_c-001
BC8 (Si)
A_cI16_206_c-001
    AB3C6_cI80_206_a_d_e-001
Bixbyite (Mn$_{2}$O$_{3}$, $D5_{3}$)
AB3C6_cI80_206_a_d_e-001
    A8B3C_cI96_206_ce_d_a-001
ZrTe$_{3}$O$_{8}$
A8B3C_cI96_206_ce_d_a-001
   
AB3C2_cI96_206_c_e_ad-001
AlLi$_{3}$N$_{2}$ ($E9_{d}$)
AB3C2_cI96_206_c_e_ad-001
   

$P432$ $(\#207)$


A17B15_cP64_207_acfk_eij-001
Palladseite (Pd$_{17}$Se$_{15}$)
A17B15_cP64_207_acfk_eij-001
   

$P4_232$ $(\#208)$


A3B_cP16_208_i_c-001
H$_{3}$P
A3B_cP16_208_i_c-001
    A11B16C5_cP64_208_bfh_adm_ce-001
Na$_{11}$U$_{5}$O$_{16}$
A11B16C5_cP64_208_bfh_adm_ce-001
    A6B2CD6E_cP64_208_m_ad_b_m_c-001
Cs$_{2}$ZnFe[CN]$_{6}$
A6B2CD6E_cP64_208_m_ad_b_m_c-001
   

$F432$ $(\#209)$


A24BC_cF104_209_j_a_b-001
KPF$_{6}$
A24BC_cF104_209_j_a_b-001
    A14BC8D5_cF1344_209_7j_g_4j_g2j-001
PCN-20 [C$_{14}$CuO(H$_{2}$O)$_{4}$]
A14BC8D5_cF1344_209_7j_g_4j_g2j-001
   

$F4_132$ $(\#210)$


A12B36CD12_cF488_210_h_3h_a_fg-001
MgB$_{12}$H$_{12}$[H$_{2}$O]$_{12}$
A12B36CD12_cF488_210_h_3h_a_fg-001
    A12B6C_cF608_210_4h_2h_e-001
Te[OH]$_{6}$
A12B6C_cF608_210_4h_2h_e-001
   

$I432$ $(\#211)$


A2B_cI72_211_hi_i-001
Hypothetical Cubic SiO$_{2}$
A2B_cI72_211_hi_i-001
   

$P4_332$ $(\#212)$


A2B_cP12_212_c_a-001
SrSi$_{2}$
A2B_cP12_212_c_a-001
    AB2C3_cP24_212_a_c_d-001
Li$_{2}$Pd$_{3}$B
AB2C3_cP24_212_a_c_d-001
    A2B3_cP60_212_acd_bce-001
$\gamma$-Fe$_{2}$O$_{3}$ ($D5_{7}$)
A2B3_cP60_212_acd_bce-001
   

$P4_132$ $(\#213)$


A2B3_cP20_213_c_d-001
Co$_{8}$Zn$_{9}$Mn$_{3}$
A2B3_cP20_213_c_d-001
    A3B2_cP20_213_d_c-001
Mg$_{3}$Ru$_{2}$
A3B2_cP20_213_d_c-001
    A_cP20_213_cd-001
$\beta$-Mn ($A13$)
A_cP20_213_cd-001
   
A2BC3_cP24_213_c_a_d-001
Al$_{2}$Mo$_{3}$C
A2BC3_cP24_213_c_a_d-001
    AB6CD2_cP120_213_d_3e_ac_e-001
SrCuTe$_{2}$O$_{6}$
AB6CD2_cP120_213_d_3e_ac_e-001
   

$I4_132$ $(\#214)$


A3BC2_cI48_214_f_a_e-001
Petzite (Ag$_{3}$AuTe$_{2}$)
A3BC2_cI48_214_f_a_e-001
    A3B3C_cI56_214_g_h_a-001
Ca$_{3}$PI$_{3}$
A3B3C_cI56_214_g_h_a-001
    A3B4C13_cI320_214_gh_abgh_e4i-001
La$_{3}$Rh$_{4}$Sn$_{13}$
A3B4C13_cI320_214_gh_abgh_e4i-001
   

$P\overline{4}3m$ $(\#215)$


AB4_cP5_215_a_e-001
Fe$_{4}$C
AB4_cP5_215_a_e-001
    A3B4C_cP8_215_c_e_b-001
Sulvanite (Cu$_{3}$S$_{4}$V, $H2_{4}$)
A3B4C_cP8_215_c_e_b-001
    AB3C4_cP8_215_a_c_e-001
Cubic Lazarevićite (AsCu$_{3}$S$_{4}$)
AB3C4_cP8_215_a_c_e-001
   
A2B_cP24_215_ei_ace-001
Intermediate Temperature TmNi$_{2}$
A2B_cP24_215_ei_ace-001
    A4B9_cP52_215_ei_3efgi-001
$\gamma$-brass (Cu$_{9}$Al$_{4}$, $D8_{3}$)
A4B9_cP52_215_ei_3efgi-001
    A17B15_cP64_215_acg2i_f2i-001
Palladseite (Pd$_{17}$Se$_{15}$)
A17B15_cP64_215_acg2i_f2i-001
   

$F\overline{4}3m$ $(\#216)$


AB_cF8_216_a_c-001
Zincblende (ZnAs, $B3$)
AB_cF8_216_a_c-001
    ABC_cF12_216_a_c_b-001
Half–Heusler (AgAsMg, $C1_{b}$)
ABC_cF12_216_a_c_b-001
    AB2C_cF16_216_a_bc_d-001
Hg$_{2}$TiCu Inverse Heusler
AB2C_cF16_216_a_bc_d-001
   
ABCD_cF16_216_a_b_c_d-001
Quaternary Heusler (LiMgAuSn)
ABCD_cF16_216_a_b_c_d-001
    AB5_cF24_216_a_ce-001
AuBe$_{5}$ ($C15_{b}$)
AB5_cF24_216_a_ce-001
    ABC4_cF24_216_a_b_e-001
High-Temperature Cubic KClO$_{4}$ ($H0_{5}$)
ABC4_cF24_216_a_b_e-001
   
AB_cF40_216_ae_be-001
Theoretical cF40 AlN
AB_cF40_216_ae_be-001
    AB4C8_cF52_216_a_e_2e-001
Room Temperature GaMo$_{4}$S$_{8}$
AB4C8_cF52_216_a_e_2e-001
    A4BCD8_cF56_216_e_a_c_2e-001
LiGaCr$_{4}$O$_{8}$
A4BCD8_cF56_216_e_a_c_2e-001
   
A13B4C4_cF84_216_afg_e_e-001
Al$_{13}$Cr$_{4}$Si$_{4}$
A13B4C4_cF84_216_afg_e_e-001
    A4B17C_cF88_216_e_aefg_c-001
Cubic Cr$_{4}$PtGa$_{17}$
A4B17C_cF88_216_e_aefg_c-001
    A4BC_cF96_216_efg_e_e-001
Gd$_{4}$RhIn
A4BC_cF96_216_efg_e_e-001
   
A3B2C11D5_cF168_216_f_e_ab2eh_eg-001
Ba$_{3}$In$_{2}$Zn$_{5}$O$_{11}$
A3B2C11D5_cF168_216_f_e_ab2eh_eg-001
    A2B_cF192_216_2e2h_ab2eg-001
Low Temperature TmNi$_{2}$
A2B_cF192_216_2e2h_ab2eg-001
    A13BC18D20E5_cF228_216_ah_c_gh_2eh_be-001
Zunyite [Al$_{13}$(OH,F)$_{18}$Si$_{5}$O$_{20}$Cl ($S0_{8}$)]
A13BC18D20E5_cF228_216_ah_c_gh_2eh_be-001
   
A16B40C12D6E5_cF316_216_eh_e2g2h_h_f_ae-001
Murataite [(Y,Na)$_{6}$(Zn,Fe)$_{5}$Ti$_{12}$O$_{29}$(O,F)$_{10}$F$_{4}$]
A16B40C12D6E5_cF316_216_eh_e2g2h_h_f_ae-001
    A2B5_cF392_216_4efg_4ef4h-001
Pt$_{3}$Zn$_{10}$
A2B5_cF392_216_4efg_4ef4h-001
    A41B11_cF416_216_7e2fg3h_egh-001
$\delta$-Cu$_{41}$Sn$_{11}$
A41B11_cF416_216_7e2fg3h_egh-001
   
A17B4_cF420_216_a6efg4h_2efg-001
Li$_{17}$Pb$_{4}$
A17B4_cF420_216_a6efg4h_2efg-001
    A45B11_cF448_216_ac4efg5h_bd2eh-001
Sm$_{11}$Cd$_{45}$
A45B11_cF448_216_ac4efg5h_bd2eh-001
   

$I\overline{4}3m$ $(\#217)$


A4B_cI10_217_c_a-001
SiF$_{4}$ ($D1_{2}$)
A4B_cI10_217_c_a-001
    A4B3C_cI16_217_c_b_a-001
Tl$_{3}$VS$_{4}$
A4B3C_cI16_217_c_b_a-001
    AB_cI16_217_c_c-001
Theoretical cI16 AlN
AB_cI16_217_c_c-001
   
A5B8_cI52_217_ce_cg-001
$\gamma$-Brass (Cu$_{5}$Zn$_{8}$, $D8_{2}$)
A5B8_cI52_217_ce_cg-001
    A4B4C6D13_cI54_217_c_c_d_ag-001
$\alpha$-Ba$_{8}$Ga$_{16}$Sn$_{30}$ Clathrate
A4B4C6D13_cI54_217_c_c_d_ag-001
    A12B17_cI58_217_g_acg-001
Mg$_{17}$Al$_{12}$
A12B17_cI58_217_g_acg-001
   
A_cI58_217_ac2g-001
$\alpha$-Mn ($A12$)
A_cI58_217_ac2g-001
    A4B24C13_cI82_217_c_deg_ag-001
Tennantite (Cu$_{12}$As$_{4}$S$_{13}$)
A4B24C13_cI82_217_c_deg_ag-001
   

$P\overline{4}3n$ $(\#218)$


A3B4C_cP16_218_c_e_a-001
Ag$_{3}$(PO$_{4}$) ($H2_{1}$)
A3B4C_cP16_218_c_e_a-001
    A3BC4D12E3_cP46_218_c_a_e_i_d-001
Sodalite [Na$_{4}$(AlSiO$_{4}$)$_{3}$Cl, $S6_{2}$]
A3BC4D12E3_cP46_218_c_a_e_i_d-001
    AB_cP64_218_ei_ei-001
KGe
AB_cP64_218_ei_ei-001
   
A3B4C4D4E16F4G3_cP76_218_c_e_e_e_ei_e_d-001
Hauyne [(Na$_{0.5}$Ca$_{0.3}$K$_{0.2}$)$_{8}$(Al$_{6}$Si$_{6}$O$_{24}$)(SO$_{4}$)$_{1.5}$, $S6_{9}$]
A3B4C4D4E16F4G3_cP76_218_c_e_e_e_ei_e_d-001
    A7BC4_cP96_218_bcefi_ad_ei-001
Li$_{7}$MnN$_{4}$
A7BC4_cP96_218_bcefi_ad_ei-001
    ABC2_cP96_218_i_i_2i-001
$\gamma$-HBO$_{2}$ (cubic)
ABC2_cP96_218_i_i_2i-001
   

$F\overline{4}3c$ $(\#219)$


A8B3_cF176_219_eh_abe-001
Si$_{3}$Cl$_{8}$
A8B3_cF176_219_eh_abe-001
    A7BC3D13_cF192_219_ce_a_d_bh-001
Boracite (Mg$_{3}$B$_{7}$ClO$_{13}$)
A7BC3D13_cF192_219_ce_a_d_bh-001
    A16B4C16D_cF296_219_eh_e_eh_a-001
Sn[Co(CO)$_{4}$]$_{4}$
A16B4C16D_cF296_219_eh_e_eh_a-001
   

$I\overline{4}3d$ $(\#220)$


A_cI16_220_c-001
High-pressure cI16 Li
A_cI16_220_c-001
    AB_cI24_220_a_b-001
Theoretical cI24 AlN
AB_cI24_220_a_b-001
    A4B3_cI28_220_c_a-001
Th$_{3}$P$_{4}$ ($D7_{3}$)
A4B3_cI28_220_c_a-001
   
A3B2_cI40_220_d_c-001
Pu$_{2}$C$_{3}$ ($D5_{c}$)
A3B2_cI40_220_d_c-001
    A3B4C3_cI40_220_a_c_b-001
Y$_{3}$Au$_{3}$Sb$_{4}$
A3B4C3_cI40_220_a_c_b-001
    A15B4_cI76_220_ae_c-001
Cu$_{15}$Si$_{4}$ ($D8_{6}$)
A15B4_cI76_220_ae_c-001
   
A4B12C3_cI76_220_c_e_a-001
Eulytine (Bi$_{4}$(SiO$_{4}$)$_{3}$, $S1_{5}$)
A4B12C3_cI76_220_c_e_a-001
    A7B12C19_cI152_220_ac_2d_bce-001
Mayenite (12 CaO$\cdot$7Al$_{2}$O$_{3}$, $K7_4$, C12A7)
A7B12C19_cI152_220_ac_2d_bce-001
    AB9C3_cI208_220_c_3e_e-001
Al(PO$_{3}$)$_{3}$ ($G5_{2}$)
AB9C3_cI208_220_c_3e_e-001
   

$Pm\overline{3}m$ $(\#221)$


A_cP1_221_a-001
$\alpha$-Po ($A_{h}$, simple cubic)
A_cP1_221_a-001
    AB_cP2_221_a_b-001
NH$_{4}$NO$_{3}$ I ($G0_{8}$)
AB_cP2_221_a_b-001
    AB_cP2_221_a_b-002
CsCl ($B2$)
AB_cP2_221_a_b-002
   
A3B_cP4_221_c_b-001
$\alpha$-ReO$_{3}$ ($D0_{9}$)
A3B_cP4_221_c_b-001
    AB3_cP4_221_a_c-001
Bogdanovite (Cu$_{3}$Au, $L1_{2}$)
AB3_cP4_221_a_c-001
    A4B_cP5_221_ac_b-002
$\gamma$'-Fe$_{4}$N ($L'1_{0}$)
A4B_cP5_221_ac_b-002
   
A4B_cP5_221_bc_a-001
Erroneous $L'1_{0}$
A4B_cP5_221_bc_a-001
    AB3C_cP5_221_a_c_b-001
Cubic Perovskite (CaTiO$_{3}$, $E2_{1}$)
AB3C_cP5_221_a_c_b-001
    AB_cP6_221_c_d-001
NbO
AB_cP6_221_c_d-001
   
A3B4_cP7_221_d_ac-001
S$_{3}$U$_{4}$
A3B4_cP7_221_d_ac-001
    A6B_cP7_221_e_b-001
CaB$_{6}$ ($D2_{1}$)
A6B_cP7_221_e_b-001
    AB12C_cP14_221_a_h_b-001
Predicted High-Pressure YCaH$_{12}$
AB12C_cP14_221_a_h_b-001
   
AB11CD3_cP16_221_a_dg_b_c-001
Model of Ferrite (cP16)
AB11CD3_cP16_221_a_dg_b_c-001
    AB27CD3_cP32_221_a_dij_b_c-001
Model of Austenite (cP32)
AB27CD3_cP32_221_a_dij_b_c-001
    A2B3C6_cP33_221_cd_ag_fh-001
Ca$_{3}$Al$_{2}$O$_{6}$ ($E9_{1}$)
A2B3C6_cP33_221_cd_ag_fh-001
   
A8B24C_cP33_221_g_efh_a-001
Ce$_{8}$Pd$_{24}$Sb
A8B24C_cP33_221_g_efh_a-001
    AB11_cP36_221_c_agij-001
BaHg$_{11}$ ($D2_{e}$)
AB11_cP36_221_c_agij-001
    A17B15_cP64_221_acfm_eij-001
Palladseite (Pd$_{17}$Se$_{15}$)
A17B15_cP64_221_acfm_eij-001
   

$Pn\overline{3}n$ $(\#222)$


A5B3C16_cP96_222_ce_d_fi-001
Ce$_{5}$Mo$_{3}$O$_{16}$
A5B3C16_cP96_222_ce_d_fi-001
    A4BC4D6_cP360_222_2i_h_2i_3i-001
Co(H$_{2}$O)$_{2}$(C$_{4}$O$_{4}$)
A4BC4D6_cP360_222_2i_h_2i_3i-001
   

$Pm\overline{3}n$ $(\#223)$


A3B_cP8_223_c_a-001
Cr$_{3}$Si ($A15$)
A3B_cP8_223_c_a-001
    A3B3C_cP14_223_c_d_a-001
SrB$_{3}$C$_{3}$ Clathrate
A3B3C_cP14_223_c_d_a-001
    AB4C3_cP16_223_a_e_c-001
NaPt$_{3}$O$_{4}$
AB4C3_cP16_223_a_e_c-001
   
A3B_cP32_223_k_ac-001
$\beta$-UH$_{3}$
A3B_cP32_223_k_ac-001
    A4B13C3_cP40_223_e_ak_c-001
Yb$_{3}$Rh$_{4}$Sn$_{13}$
A4B13C3_cP40_223_e_ak_c-001
    A_cP46_223_cik-001
Si$_{46}$ Clathrate
A_cP46_223_cik-001
   
A13B3C8D12_cP72_223_ak_c_i_k-001
$\beta$-Ba$_{8}$Ga$_{16}$Sn$_{30}$ Clathrate
A13B3C8D12_cP72_223_ak_c_i_k-001
    AB20_cP126_223_c_k2l-001
“A15” Fullerene (Ba$_{3}$C$_{60}$)
AB20_cP126_223_c_k2l-001
    A2B3C2_cP224_223_abcdefk_j3k_il-001
$\beta$-Hg$_{3}$S$_{2}$Cl$_{2}$
A2B3C2_cP224_223_abcdefk_j3k_il-001
   

$Pn\overline{3}m$ $(\#224)$


A2B_cP6_224_b_a-001
Cuprite (Cu$_{2}$O, $C3$)
A2B_cP6_224_b_a-001
    A3B2_cP10_224_d_b-001
Mg$_{3}$P$_{2}$ ($D5_{5}$)
A3B2_cP10_224_d_b-001
    A3B40CD12_cP112_224_d_e3k_a_k-001
PW$_{12}$O$_{40}\cdot$3H$_{3}$O
A3B40CD12_cP112_224_d_e3k_a_k-001
   
A5B40CD12_cP116_224_bd_e3k_a_k-001
12-phosphotungstic acid [H$_{3}$PW$_{12}$O$_{40}\cdot$5H$_{2}$O] ($H4_{16}$)
A5B40CD12_cP116_224_bd_e3k_a_k-001
    A27B52CD12_cP184_224_dl_eh3k_a_k-001
Dodecatungstophosphoric Acid Hexahydrate (H$_{3}$PW$_{12}$O$_{40}\cdot$6H$_{2}$O)
A27B52CD12_cP184_224_dl_eh3k_a_k-001
   

$Fm\overline{3}m$ $(\#225)$


A_cF4_225_a-001
Face-Centered Cubic (Cu, $A1$, fcc)
A_cF4_225_a-001
    AB_cF8_225_a_b-001
Rock Salt/Halite (NaCl, $B1$)
AB_cF8_225_a_b-001
    AB2_cF12_225_a_c-001
Fluorite (CaF$_{2}$, $C1$)
AB2_cF12_225_a_c-001
   
AB2C_cF16_225_a_c_b-001
Heusler (Cu$_{2}$AlMn, $L2_{1}$)
AB2C_cF16_225_a_c_b-001
    AB3_cF16_225_a_bc-001
BiF$_{3}$ ($D0_{3}$)
AB3_cF16_225_a_bc-001
    A7B_cF32_225_ad_b-001
Ca$_{7}$Ge
A7B_cF32_225_ad_b-001
   
AB6C_cF32_225_a_e_b-001
$\alpha$'-CuZrF$_{6}$
AB6C_cF32_225_a_e_b-001
    AB7_cF32_225_a_bd-001
$L1_{a}$ (disputed CuPt$_{3}$)
AB7_cF32_225_a_bd-001
    A6B2C_cF36_225_e_c_a-001
K$_{2}$PtCl$_{6}$ ($J1_{1}$)
A6B2C_cF36_225_e_c_a-001
   
AB8_cF36_225_a_f-001
$\delta$-Bi$_{2}$O$_{3}$
AB8_cF36_225_a_f-001
    A2BC6D_cF40_225_c_a_e_b-001
Double Perovskite (Ba$_{2}$MnWO$_{6}$)
A2BC6D_cF40_225_c_a_e_b-001
    AB8C_cF40_225_a_f_b-001
Room Temperature KBD$_{4}$
AB8C_cF40_225_a_f_b-001
   
A10B_cF44_225_cf_a-001
LaH$_{10}$ High-T$_{c}$ Superconductor
A10B_cF44_225_cf_a-001
    A12B_cF52_225_h_b-001
UB$_{12}$ ($D2_{f}$)
A12B_cF52_225_h_b-001
    A6BC8_cF60_225_d_a_ce-001
Mg$_{6}$MnO$_{8}$
A6BC8_cF60_225_d_a_ce-001
   
A9B8_cF68_225_af_ce-001
Co$_{9}$S$_{8}$ ($D8_{9}$)
A9B8_cF68_225_af_ce-001
    ABC6D8E2_cF72_225_a_b_e_f_c-001
Sulphohalite [Na$_{6}$ClF(SO$_{4}$)$_{2}$, $H5_{8}$]
ABC6D8E2_cF72_225_a_b_e_f_c-001
    A18B_cF76_225_c2f_a-001
High Temperature Cu$_{2}$Se
A18B_cF76_225_c2f_a-001
   
A6B9CD2E6_cF96_225_e_af_b_c_e-001
Cu$_{3}$[Fe(CN)$_{6}$]$_{2}\cdot x$H$_{2}$O ($J2_{5}$)
A6B9CD2E6_cF96_225_e_af_b_c_e-001
    AB18C8_cF108_225_a_eh_f-001
Model of Austenite (cF108)
AB18C8_cF108_225_a_eh_f-001
    A16B6C7_cF116_225_2f_e_ad-001
Mg$_{6}$Si$_{7}$Cu$_{16}$
A16B6C7_cF116_225_2f_e_ad-001
   
A23B6_cF116_225_ad2f_e-001
Th$_{6}$Mn$_{23}$ ($D8_{a}$)
A23B6_cF116_225_ad2f_e-001
    A6B23_cF116_225_e_acfh-001
Cr$_{23}$C$_{6}$ ($D8_{4}$)
A6B23_cF116_225_e_acfh-001
    A9B16C7_cF128_225_acd_2f_be-001
Model of Ferrite (cF128)
A9B16C7_cF128_225_acd_2f_be-001
   
AB30C16D3_cF200_225_a_ej_2f_bc-001
(NH$_{4}$)$_{3}$AlF$_{6}$ ($J2_{1}$)
AB30C16D3_cF200_225_a_ej_2f_bc-001
    A7B_cF256_225_f2k_ce-001
Intermediate Temperature Bornite (Cu$_{5/6}$Fe$_{1/6}$)$_{3}$S$_{2}$
A7B_cF256_225_f2k_ce-001
    A40B_cF492_225_j2l_ac-001
fcc Fullerene (K$_{3}$C$_{60}$)
A40B_cF492_225_j2l_ac-001
   

$Fm\overline{3}c$ $(\#226)$


AB13_cF112_226_a_bi-001
NaZn$_{13}$ ($D2_{3}$)
AB13_cF112_226_a_bi-001
   

$Fd\overline{3}m$ $(\#227)$


A_cF8_227_a-001
Diamond ($A4$)
A_cF8_227_a-001
    AB_cF16_227_a_b-001
NaTl ($B32$)
AB_cF16_227_a_b-001
    A2B_cF24_227_c_a-001
Ideal $\beta$-Cristobalite (SiO$_{2}$, $C9$)
A2B_cF24_227_c_a-001
   
A2B_cF24_227_c_b-001
Cu$_{2}$Mg Cubic Laves ($C15$)
A2B_cF24_227_c_b-001
    AB_cF32_227_c_d-001
Cubic CuPt [$L1_{3}(I)$, $D4$]
AB_cF32_227_c_d-001
    A_cF32_227_e-001
T-Carbon
A_cF32_227_e-001
   
AB2_cF48_227_c_e-001
Ti$_{2}$C
AB2_cF48_227_c_e-001
    A2BC4_cF56_227_c_b_e-001
Spinel (Al$_{2}$MgO$_{4}$, $H1_{1}$)
A2BC4_cF56_227_c_b_e-001
    A3B4_cF56_227_ad_e-001
Spinel (Co$_{3}$O$_{4}$, $D7_{2}$)
A3B4_cF56_227_ad_e-001
   
AB3_cF64_227_c_f-001
$\beta$-Alane (AlD$_{3}$)
AB3_cF64_227_c_f-001
    A3B2_cF80_227_f_e-002
Senarmontite (D6$_{1}$, Sb$_{2}$O$_{3}$)
A3B2_cF80_227_f_e-002
    A2B2C7_cF88_227_c_d_af-001
Pyrochlore Iridate (Eu$_{2}$Ir$_{2}$O$_{7}$, $E8_{1}$)
A2B2C7_cF88_227_c_d_af-001
   
A2B_cF96_227_abf_cd-001
$D6_{2}$ (Sb$_{2}$O$_{4}$, Obsolete)
A2B_cF96_227_abf_cd-001
    AB2_cF96_227_e_cf-001
NiTi$_{2}$
AB2_cF96_227_e_cf-001
    AB3C3_cF112_227_c_de_f-001
$\eta$-carbide (Fe$_{3}$W$_{3}$C, $E9_{3}$)
AB3C3_cF112_227_c_de_f-001
   
A11B4_cF120_227_acdf_e-001
$\gamma$-Ga$_{2}$O$_{3}$
A11B4_cF120_227_acdf_e-001
    A_cF136_227_aeg-001
Si$_{34}$ Clathrate
A_cF136_227_aeg-001
    A7B2_cF144_227_2ef_e-001
Dy$_{5}$Pd$_{2}$
A7B2_cF144_227_2ef_e-001
   
A16B2C_cF152_227_eg_c_b-001
Predicted Li$_{2}$MgH$_{16}$ High-T$_{c}$ Superconductor (250 GPa)
A16B2C_cF152_227_eg_c_b-001
    A10B_cF176_227_cfg_d-001
Al$_{10}$V
A10B_cF176_227_cfg_d-001
    A18B2C3_cF184_227_fg_d_ac-001
Mg$_{3}$Cr$_{2}$Al$_{18}$
A18B2C3_cF184_227_fg_d_ac-001
   
A22B_cF184_227_cdfg_a-001
Zn$_{22}$Zr
A22B_cF184_227_cdfg_a-001
    A2BCD3E6_cF208_227_e_c_d_f_g-001
$G7_{3}$ [Na$_{3}$MgCl(CO$_{3}$)$_{2}$] (Obsolete)
A2BCD3E6_cF208_227_e_c_d_f_g-001
    A4B2C6D16E_cF232_227_e_c_f_eg_b-001
$H5_{6}$ [Tychite, Na$_{6}$Mg$_{2}$SO$_{4}$(CO$_{3}$)$_{4}$)] (Obsolete)
A4B2C6D16E_cF232_227_e_c_f_eg_b-001
   
A29B40CD12_cF656_227_ae2fg_e3g_b_g-001
H$_{3}$PW$_{12}$O$_{40}\cdot$29H$_{2}$O ($H4_{21}$)
A29B40CD12_cF656_227_ae2fg_e3g_b_g-001
   

$Fd\overline{3}c$ $(\#228)$


A6B_cF224_228_h_c-001
Te[OH]$_{6}$ (Obsolete)
A6B_cF224_228_h_c-001
    A5BCD6_cF416_228_eg_c_b_h-001
CuCrCl$_{5}$[NH$_{3}$]$_{6}$
A5BCD6_cF416_228_eg_c_b_h-001
    AB8C24D2E84F12_cF2096_228_a_cg_2h_b_7h_h-001
Voltaite (K$_{2}$Fe$_{8}$Al[SO$_{4}$]$_{12}\cdot$18H$_{2}$O)
AB8C24D2E84F12_cF2096_228_a_cg_2h_b_7h_h-001
   

$Im\overline{3}m$ $(\#229)$


A_cI2_229_a-001
Body-Centered Cubic (W, $A2$, bcc)
A_cI2_229_a-001
    A3B_cI8_229_b_a-001
High-pressure (200GPa) H$_{3}$S
A3B_cI8_229_b_a-001
    A4B_cI10_229_c_a-001
$\beta$-Hg$_{4}$Pt
A4B_cI10_229_c_a-001
   
A4B3_cI14_229_c_b-001
Pt$_{3}$O$_{4}$
A4B3_cI14_229_c_b-001
    AB6_cI14_229_a_d-001
High Pressure Cubic CaH$_{6}$
AB6_cI14_229_a_d-001
    AB4C3_cI16_229_a_c_b-001
Model of Ferrite (cI16)
AB4C3_cI16_229_a_c_b-001
   
AB12C3_cI32_229_a_h_b-001
Model of Austenite (cI32)
AB12C3_cI32_229_a_h_b-001
    A7B3_cI40_229_df_e-001
Ir$_{3}$Ge$_{7}$ ($D8_{f}$)
A7B3_cI40_229_df_e-001
    A21B_cI44_229_bdh_a-001
$\alpha$-AgI ($B23$)
A21B_cI44_229_bdh_a-001
   
A3B6C2_cI44_229_e_h_c-001
Ce$_{3}$Ni$_{6}$Si$_{2}$
A3B6C2_cI44_229_e_h_c-001
    A6B16C_cI46_229_e_ch_a-001
Dy$_{6}$Fe$_{16}$O
A6B16C_cI46_229_e_ch_a-001
    A3B10_cI52_229_e_fh-001
$\gamma$-brass (Fe$_{3}$Zn$_{10}$, $D8_{1}$)
A3B10_cI52_229_e_fh-001
   
A2B7_cI54_229_e_afh-001
Sb$_{2}$Tl$_{7}$ ($L2_{2}$)
A2B7_cI54_229_e_afh-001
   

$Ia\overline{3}d$ $(\#230)$


A4B3_cI112_230_af_g-001
Ga$_{4}$Ni$_{3}$
A4B3_cI112_230_af_g-001
    A4B_cI120_230_h_c-001
RhBi$_{4}$
A4B_cI120_230_h_c-001
    A2B3C12D3_cI160_230_a_c_h_d-001
Garnet [$S1_{4}$, Co$_{3}$Al$_{2}$(SiO$_{4}$)$_{3}$]
A2B3C12D3_cI160_230_a_c_h_d-001
   
A2B3C12D12_cI232_230_a_c_h_h-001
Ca$_{3}$Al$_{2}$(OH)$_{12}$ ($J2_{3}$)
A2B3C12D12_cI232_230_a_c_h_h-001