Input interpretation
andesine (mineral) | crystal system | eifelite (mineral) | crystal system
Result
triclinic | hexagonal
Basic properties
| triclinic | hexagonal crystal families | triclinic | hexagonal required symmetries | none | 1 6-fold rotation axis Bravais lattices | 1 | 1 point groups | 2 | 7 space groups | 2 | 27
Lattice properties
| triclinic | hexagonal lattice systems | triclinic | hexagonal Bravais lattices | simple triclinic | simple hexagonal angle relations | α!=β!=γ | α = 90°, γ = 120° edge relations | 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) | 1/2 sqrt(3) a^2 c
Corresponding symmetry groups
| triclinic | hexagonal crystal class | pedial | pinacoidal | hexagonal pyramidal | trigonal dipyramidal | hexagonal dipyramidal | hexagonal trapezoidal | dihexagonal pyramidal | ditrigonal dipyramidal | dihexagonal dipyramidal Schönflies point groups | {C_1, C_i} | {C_6, C_3h, C_6h, D_6, C_6v, D_3h, D_6h} Hermann-Mauguin point groups | 1 | 1^_ | 6 | 6^_ | 6/m | 622 | 6mm | 6^_m2 | 6/mmm IUCr space group number | 1 | 2 | 168 | 169 | 170 | 171 | 172 | 173 | 174 | 175 | 176 | 177 | ... (total: 27) Hermann-Mauguin space groups | P1 | P1^_ | P6 | P6_1 | P6_5 | P6_262 | P6_464 | P6_3 | P6^_ | P6/m | P6_3/m | P622 | ... (total: 27)