Input interpretation
silicon (mineral) | crystal system | carlsbergite (mineral) | crystal system
Result
cubic | cubic
Basic properties
| cubic | cubic crystal families | cubic | cubic required symmetries | 4 3-fold rotation axes | 4 3-fold rotation axes Bravais lattices | 3 | 3 point groups | 5 | 5 space groups | 36 | 36
Lattice properties
| cubic | cubic lattice systems | cubic | cubic Bravais lattices | simple cubic | body-centered cubic | face-centered cubic | simple cubic | body-centered cubic | face-centered cubic angle relations | α = β = γ = 90° | α = β = γ = 90° edge relations | a = b = c | a = b = c unit cell volume | a b c | a b c
Corresponding symmetry groups
| cubic | cubic crystal class | tetartoidal | diploidal | gyroidal | tetrahedral | hexoctahedral | tetartoidal | diploidal | gyroidal | tetrahedral | hexoctahedral Schönflies point groups | {T, T_h, O, T_d, O_h} | {T, T_h, O, T_d, O_h} Hermann-Mauguin point groups | 23 | m3^_ | 432 | 4^_3m | m3^_m | 23 | m3^_ | 432 | 4^_3m | m3^_m IUCr space group number | 195 | 196 | 197 | 198 | 199 | 200 | 201 | 202 | 203 | 204 | ... (total: 36) | 195 | 196 | 197 | 198 | 199 | 200 | 201 | 202 | 203 | 204 | ... (total: 36) Hermann-Mauguin space groups | P23 | F23 | I23 | P2_13 | I2_13 | Pm3^_ | Pn3^_ | Fm3^_ | Fd3^_ | Im3^_ | ... (total: 36) | P23 | F23 | I23 | P2_13 | I2_13 | Pm3^_ | Pn3^_ | Fm3^_ | Fd3^_ | Im3^_ | ... (total: 36)