Input interpretation
diamond (mineral) | crystal system | barringerite (mineral) | crystal system
Result
cubic | hexagonal
Basic properties
| cubic | hexagonal crystal families | cubic | hexagonal required symmetries | 4 3-fold rotation axes | 1 6-fold rotation axis Bravais lattices | 3 | 1 point groups | 5 | 7 space groups | 36 | 27
Lattice properties
| cubic | hexagonal lattice systems | cubic | hexagonal Bravais lattices | simple cubic | body-centered cubic | face-centered cubic | simple hexagonal angle relations | α = β = γ = 90° | α = 90°, γ = 120° edge relations | a = b = c | a!=c unit cell volume | a b c | 1/2 sqrt(3) a^2 c
Corresponding symmetry groups
| cubic | hexagonal crystal class | tetartoidal | diploidal | gyroidal | tetrahedral | hexoctahedral | hexagonal pyramidal | trigonal dipyramidal | hexagonal dipyramidal | hexagonal trapezoidal | dihexagonal pyramidal | ditrigonal dipyramidal | dihexagonal dipyramidal Schönflies point groups | {T, T_h, O, T_d, O_h} | {C_6, C_3h, C_6h, D_6, C_6v, D_3h, D_6h} Hermann-Mauguin point groups | 23 | m3^_ | 432 | 4^_3m | m3^_m | 6 | 6^_ | 6/m | 622 | 6mm | 6^_m2 | 6/mmm IUCr space group number | 195 | 196 | 197 | 198 | 199 | 200 | 201 | 202 | 203 | 204 | ... (total: 36) | 168 | 169 | 170 | 171 | 172 | 173 | 174 | 175 | 176 | 177 | ... (total: 27) Hermann-Mauguin space groups | P23 | F23 | I23 | P2_13 | I2_13 | Pm3^_ | Pn3^_ | Fm3^_ | Fd3^_ | Im3^_ | ... (total: 36) | P6 | P6_1 | P6_5 | P6_262 | P6_464 | P6_3 | P6^_ | P6/m | P6_3/m | P622 | ... (total: 27)