Input interpretation
anthoinite (mineral) | crystal system | armangite (mineral) | crystal system
Result
triclinic | trigonal
Basic properties
| triclinic | trigonal crystal families | triclinic | hexagonal required symmetries | none | 1 3-fold rotation axis Bravais lattices | 1 | 2 point groups | 2 | 5 space groups | 2 | 25
Lattice properties
| triclinic | trigonal lattice systems | triclinic | rhombohedral | hexagonal Bravais lattices | simple triclinic | simple trigonal | simple hexagonal angle relations | α!=β!=γ | α = β = γ!=90° | α = 90°, γ = 120° edge relations | a!=b!=c | a = b = c | a!=c unit cell volume | a b c sqrt(2 cos(α) cos(β) cos(γ) - cos^2(α) - cos^2(β) - cos^2(γ) + 1) | a b c sqrt(2 cos^3(α) - 3 cos^2(α) + 1) | 1/2 sqrt(3) a^2 c
Corresponding symmetry groups
| triclinic | trigonal crystal class | pedial | pinacoidal | trigonal pyramidal | rhombohedral | trigonal trapezoidal | ditrigonal pyramidal | ditrigonal scalahedral Schönflies point groups | {C_1, C_i} | {C_3, S_6, D_3, C_3v, D_3d} Hermann-Mauguin point groups | 1 | 1^_ | 3 | 3^_ | 32 | 3m | 3^_m IUCr space group number | 1 | 2 | 143 | 144 | 145 | 146 | 147 | 148 | 149 | 150 | 151 | 152 | ... (total: 25) Hermann-Mauguin space groups | P1 | P1^_ | P3 | P3_1 | P3_2 | R3 | P3^_ | R3^_ | P312 | P321 | P3_112 | P3_121 | ... (total: 25)