Input interpretation
aerugite (mineral) | crystal system | arsenosulvanite (mineral) | crystal system
Result
trigonal | cubic
Basic properties
| trigonal | cubic crystal families | hexagonal | cubic required symmetries | 1 3-fold rotation axis | 4 3-fold rotation axes Bravais lattices | 2 | 3 point groups | 5 | 5 space groups | 25 | 36
Lattice properties
| trigonal | cubic lattice systems | rhombohedral | hexagonal | cubic Bravais lattices | simple trigonal | simple hexagonal | simple cubic | body-centered cubic | face-centered cubic angle relations | α = β = γ!=90° | α = 90°, γ = 120° | α = β = γ = 90° edge relations | a = b = c | a!=c | a = b = c unit cell volume | a b c sqrt(2 cos^3(α) - 3 cos^2(α) + 1) | 1/2 sqrt(3) a^2 c | a b c
Corresponding symmetry groups
| trigonal | cubic crystal class | trigonal pyramidal | rhombohedral | trigonal trapezoidal | ditrigonal pyramidal | ditrigonal scalahedral | tetartoidal | diploidal | gyroidal | tetrahedral | hexoctahedral Schönflies point groups | {C_3, S_6, D_3, C_3v, D_3d} | {T, T_h, O, T_d, O_h} Hermann-Mauguin point groups | 3 | 3^_ | 32 | 3m | 3^_m | 23 | m3^_ | 432 | 4^_3m | m3^_m IUCr space group number | 143 | 144 | 145 | 146 | 147 | 148 | 149 | 150 | 151 | 152 | ... (total: 25) | 195 | 196 | 197 | 198 | 199 | 200 | 201 | 202 | 203 | 204 | ... (total: 36) Hermann-Mauguin space groups | P3 | P3_1 | P3_2 | R3 | P3^_ | R3^_ | P312 | P321 | P3_112 | P3_121 | ... (total: 25) | P23 | F23 | I23 | P2_13 | I2_13 | Pm3^_ | Pn3^_ | Fm3^_ | Fd3^_ | Im3^_ | ... (total: 36)