Input interpretation
aerugite (mineral) | crystal system | chalcophanite (mineral) | crystal system
Result
trigonal | trigonal
Basic properties
| trigonal | trigonal crystal families | hexagonal | hexagonal required symmetries | 1 3-fold rotation axis | 1 3-fold rotation axis Bravais lattices | 2 | 2 point groups | 5 | 5 space groups | 25 | 25
Lattice properties
| trigonal | trigonal lattice systems | rhombohedral | hexagonal | rhombohedral | hexagonal Bravais lattices | simple trigonal | simple hexagonal | simple trigonal | simple hexagonal angle relations | α = β = γ!=90° | α = 90°, γ = 120° | α = β = γ!=90° | α = 90°, γ = 120° edge relations | a = b = c | a!=c | a = b = c | a!=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 sqrt(2 cos^3(α) - 3 cos^2(α) + 1) | 1/2 sqrt(3) a^2 c
Corresponding symmetry groups
| trigonal | trigonal crystal class | trigonal pyramidal | rhombohedral | trigonal trapezoidal | ditrigonal pyramidal | ditrigonal scalahedral | trigonal pyramidal | rhombohedral | trigonal trapezoidal | ditrigonal pyramidal | ditrigonal scalahedral Schönflies point groups | {C_3, S_6, D_3, C_3v, D_3d} | {C_3, S_6, D_3, C_3v, D_3d} Hermann-Mauguin point groups | 3 | 3^_ | 32 | 3m | 3^_m | 3 | 3^_ | 32 | 3m | 3^_m IUCr space group number | 143 | 144 | 145 | 146 | 147 | 148 | 149 | 150 | 151 | 152 | ... (total: 25) | 143 | 144 | 145 | 146 | 147 | 148 | 149 | 150 | 151 | 152 | ... (total: 25) Hermann-Mauguin space groups | P3 | P3_1 | P3_2 | R3 | P3^_ | R3^_ | P312 | P321 | P3_112 | P3_121 | ... (total: 25) | P3 | P3_1 | P3_2 | R3 | P3^_ | R3^_ | P312 | P321 | P3_112 | P3_121 | ... (total: 25)