Input interpretation
acetamide (mineral) | crystal system | weddellite (mineral) | crystal system
Result
trigonal | tetragonal
Basic properties
| trigonal | tetragonal crystal families | hexagonal | tetragonal required symmetries | 1 3-fold rotation axis | 1 4-fold rotation axis Bravais lattices | 2 | 2 point groups | 5 | 7 space groups | 25 | 68
Lattice properties
| trigonal | tetragonal lattice systems | rhombohedral | hexagonal | tetragonal Bravais lattices | simple trigonal | simple hexagonal | simple tetragonal | centered tetragonal 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 | tetragonal crystal class | trigonal pyramidal | rhombohedral | trigonal trapezoidal | ditrigonal pyramidal | ditrigonal scalahedral | tetragonal pyramidal | tetragonal disphenoidal | tetragonal dipyramidal | tetragonal trapezoidal | ditetragonal pyramidal | tetragonal scalenoidal | ditetragonal dipyramidal Schönflies point groups | {C_3, S_6, D_3, C_3v, D_3d} | {C_4, S_4, C_4h, D_4, C_4v, D_2d, D_4h} Hermann-Mauguin point groups | 3 | 3^_ | 32 | 3m | 3^_m | 4 | 4^_ | 4/m | 422 | 4mm | 4^_2m | 4/mmm IUCr space group number | 143 | 144 | 145 | 146 | 147 | 148 | 149 | 150 | 151 | 152 | ... (total: 25) | 75 | 76 | 77 | 78 | 79 | 80 | 81 | 82 | 83 | 84 | ... (total: 68) Hermann-Mauguin space groups | P3 | P3_1 | P3_2 | R3 | P3^_ | R3^_ | P312 | P321 | P3_112 | P3_121 | ... (total: 25) | P4 | P4_1 | P4_2 | P4_3 | I4 | I4_1 | P4^_ | I4^_ | P4/m | P4_2/m | ... (total: 68)