Input interpretation
kyanite (mineral) | crystal system | zircon (mineral) | crystal system
Result
triclinic | tetragonal
Basic properties
| triclinic | tetragonal crystal families | triclinic | tetragonal required symmetries | none | 1 4-fold rotation axis Bravais lattices | 1 | 2 point groups | 2 | 7 space groups | 2 | 68
Lattice properties
| triclinic | tetragonal lattice systems | triclinic | tetragonal Bravais lattices | simple triclinic | simple tetragonal | centered tetragonal angle relations | α!=β!=γ | α = β = γ = 90° edge relations | a!=b!=c | a = b!=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
Corresponding symmetry groups
| triclinic | tetragonal crystal class | pedial | pinacoidal | tetragonal pyramidal | tetragonal disphenoidal | tetragonal dipyramidal | tetragonal trapezoidal | ditetragonal pyramidal | tetragonal scalenoidal | ditetragonal dipyramidal Schönflies point groups | {C_1, C_i} | {C_4, S_4, C_4h, D_4, C_4v, D_2d, D_4h} Hermann-Mauguin point groups | 1 | 1^_ | 4 | 4^_ | 4/m | 422 | 4mm | 4^_2m | 4/mmm IUCr space group number | 1 | 2 | 75 | 76 | 77 | 78 | 79 | 80 | 81 | 82 | 83 | 84 | ... (total: 68) Hermann-Mauguin space groups | P1 | P1^_ | P4 | P4_1 | P4_2 | P4_3 | I4 | I4_1 | P4^_ | I4^_ | P4/m | P4_2/m | ... (total: 68)