Input interpretation
ferronigerite-6N6S (mineral) | crystal system
Result
trigonal
Basic properties
crystal family | hexagonal required symmetry | 1 3-fold rotation axis Bravais lattices | 2 point groups | 5 space groups | 25
Lattice properties
lattice systems | rhombohedral | hexagonal Bravais lattices | simple trigonal | simple hexagonal lattice schematics | angle relations | α = β = γ!=90° | α = 90°, γ = 120° edge relations | 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
Point groups
crystal class | Schönflies | Hermann-Mauguin trigonal pyramidal | C_3 | 3 rhombohedral | S_6 | 3^_ trigonal trapezoidal | D_3 | 32 ditrigonal pyramidal | C_3v | 3m ditrigonal scalahedral | D_3d | 3^_m
Space groups
crystal class | IUCr number | Hermann-Mauguin trigonal pyramidal | 143 | 144 | 145 | 146 | P3 | P3_1 | P3_2 | R3 rhombohedral | 147 | 148 | P3^_ | R3^_ trigonal trapezoidal | 149 | 150 | 151 | 152 | 153 | 154 | 155 | P312 | P321 | P3_112 | P3_121 | P3_212 | P3_221 | R32 ditrigonal pyramidal | 156 | 157 | 158 | 159 | 160 | 161 | P3m1 | P31m | P3c1 | P31c | R3m | R3c ditrigonal scalahedral | 162 | 163 | 164 | 165 | 166 | 167 | P3^_1m | P3^_1c | P3^_m1 | P3^_c1 | R3^_m | R3^_c