Input interpretation
zircon (mineral) | crystal system | trattnerite (mineral) | crystal system
Result
tetragonal | hexagonal
Basic properties
| tetragonal | hexagonal crystal families | tetragonal | hexagonal required symmetries | 1 4-fold rotation axis | 1 6-fold rotation axis Bravais lattices | 2 | 1 point groups | 7 | 7 space groups | 68 | 27
Lattice properties
| tetragonal | hexagonal lattice systems | tetragonal | hexagonal Bravais lattices | simple tetragonal | centered tetragonal | simple hexagonal angle relations | α = β = γ = 90° | α = 90°, γ = 120° edge relations | a = b!=c | a!=c unit cell volume | a b c | 1/2 sqrt(3) a^2 c
Corresponding symmetry groups
| tetragonal | hexagonal crystal class | tetragonal pyramidal | tetragonal disphenoidal | tetragonal dipyramidal | tetragonal trapezoidal | ditetragonal pyramidal | tetragonal scalenoidal | ditetragonal dipyramidal | hexagonal pyramidal | trigonal dipyramidal | hexagonal dipyramidal | hexagonal trapezoidal | dihexagonal pyramidal | ditrigonal dipyramidal | dihexagonal dipyramidal Schönflies point groups | {C_4, S_4, C_4h, D_4, C_4v, D_2d, D_4h} | {C_6, C_3h, C_6h, D_6, C_6v, D_3h, D_6h} Hermann-Mauguin point groups | 4 | 4^_ | 4/m | 422 | 4mm | 4^_2m | 4/mmm | 6 | 6^_ | 6/m | 622 | 6mm | 6^_m2 | 6/mmm IUCr space group number | 75 | 76 | 77 | 78 | 79 | 80 | 81 | 82 | 83 | 84 | ... (total: 68) | 168 | 169 | 170 | 171 | 172 | 173 | 174 | 175 | 176 | 177 | ... (total: 27) Hermann-Mauguin space groups | P4 | P4_1 | P4_2 | P4_3 | I4 | I4_1 | P4^_ | I4^_ | P4/m | P4_2/m | ... (total: 68) | P6 | P6_1 | P6_5 | P6_262 | P6_464 | P6_3 | P6^_ | P6/m | P6_3/m | P622 | ... (total: 27)