Input interpretation
quartz (mineral) | crystal system | ferberite (mineral) | crystal system
Result
trigonal | monoclinic
Basic properties
| trigonal | monoclinic crystal families | hexagonal | monoclinic required symmetries | 1 3-fold rotation axis | 1 2-fold rotation axis or 1 mirror plane Bravais lattices | 2 | 2 point groups | 5 | 3 space groups | 25 | 13
Lattice properties
| trigonal | monoclinic lattice systems | rhombohedral | hexagonal | monoclinic Bravais lattices | simple trigonal | simple hexagonal | simple monoclinic | base-centered monoclinic angle relations | α = β = γ!=90° | α = 90°, γ = 120° | α!=90°, 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 sin(α)
Corresponding symmetry groups
| trigonal | monoclinic crystal class | trigonal pyramidal | rhombohedral | trigonal trapezoidal | ditrigonal pyramidal | ditrigonal scalahedral | sphenoidal | domatic | prismatic Schönflies point groups | {C_3, S_6, D_3, C_3v, D_3d} | {C_2, C_s, C_2h} Hermann-Mauguin point groups | 3 | 3^_ | 32 | 3m | 3^_m | 2 | m | 2/m IUCr space group number | 143 | 144 | 145 | 146 | 147 | 148 | 149 | 150 | 151 | 152 | ... (total: 25) | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | ... (total: 13) Hermann-Mauguin space groups | P3 | P3_1 | P3_2 | R3 | P3^_ | R3^_ | P312 | P321 | P3_112 | P3_121 | ... (total: 25) | P2 | P2_1 | C2 | Pm | Pc | Cm | Cc | P2/m | P2_1/m | C2/m | ... (total: 13)