Input interpretation
![cuprotungstite (mineral) | crystal system | scheelite (mineral) | crystal system](../image_source/97a04f0e234df868cf0bbb95bc671853.png)
cuprotungstite (mineral) | crystal system | scheelite (mineral) | crystal system
Result
![tetragonal | tetragonal](../image_source/b274b519aa3a49b07328922e271bb50f.png)
tetragonal | tetragonal
Basic properties
![| tetragonal | tetragonal crystal families | tetragonal | tetragonal required symmetries | 1 4-fold rotation axis | 1 4-fold rotation axis Bravais lattices | 2 | 2 point groups | 7 | 7 space groups | 68 | 68](../image_source/fbcfbbf8889bc782cbe107e1374201c5.png)
| tetragonal | tetragonal crystal families | tetragonal | tetragonal required symmetries | 1 4-fold rotation axis | 1 4-fold rotation axis Bravais lattices | 2 | 2 point groups | 7 | 7 space groups | 68 | 68
Lattice properties
![| tetragonal | tetragonal lattice systems | tetragonal | tetragonal Bravais lattices | simple tetragonal | centered tetragonal | simple tetragonal | centered tetragonal angle relations | α = β = γ = 90° | α = β = γ = 90° edge relations | a = b!=c | a = b!=c unit cell volume | a b c | a b c](../image_source/a040eba7ce04ddd6ecf30933cf4a24d9.png)
| tetragonal | tetragonal lattice systems | tetragonal | tetragonal Bravais lattices | simple tetragonal | centered tetragonal | simple tetragonal | centered tetragonal angle relations | α = β = γ = 90° | α = β = γ = 90° edge relations | a = b!=c | a = b!=c unit cell volume | a b c | a b c
Corresponding symmetry groups
![| tetragonal | tetragonal crystal class | tetragonal pyramidal | tetragonal disphenoidal | tetragonal dipyramidal | tetragonal trapezoidal | ditetragonal pyramidal | tetragonal scalenoidal | ditetragonal dipyramidal | tetragonal pyramidal | tetragonal disphenoidal | tetragonal dipyramidal | tetragonal trapezoidal | ditetragonal pyramidal | tetragonal scalenoidal | ditetragonal dipyramidal Schönflies point groups | {C_4, S_4, C_4h, D_4, C_4v, D_2d, D_4h} | {C_4, S_4, C_4h, D_4, C_4v, D_2d, D_4h} Hermann-Mauguin point groups | 4 | 4^_ | 4/m | 422 | 4mm | 4^_2m | 4/mmm | 4 | 4^_ | 4/m | 422 | 4mm | 4^_2m | 4/mmm IUCr space group number | 75 | 76 | 77 | 78 | 79 | 80 | 81 | 82 | 83 | 84 | ... (total: 68) | 75 | 76 | 77 | 78 | 79 | 80 | 81 | 82 | 83 | 84 | ... (total: 68) Hermann-Mauguin space groups | P4 | P4_1 | P4_2 | P4_3 | I4 | I4_1 | P4^_ | I4^_ | P4/m | P4_2/m | ... (total: 68) | P4 | P4_1 | P4_2 | P4_3 | I4 | I4_1 | P4^_ | I4^_ | P4/m | P4_2/m | ... (total: 68)](../image_source/4289f2d0816f2d23264c23880cafb7d6.png)
| tetragonal | tetragonal crystal class | tetragonal pyramidal | tetragonal disphenoidal | tetragonal dipyramidal | tetragonal trapezoidal | ditetragonal pyramidal | tetragonal scalenoidal | ditetragonal dipyramidal | tetragonal pyramidal | tetragonal disphenoidal | tetragonal dipyramidal | tetragonal trapezoidal | ditetragonal pyramidal | tetragonal scalenoidal | ditetragonal dipyramidal Schönflies point groups | {C_4, S_4, C_4h, D_4, C_4v, D_2d, D_4h} | {C_4, S_4, C_4h, D_4, C_4v, D_2d, D_4h} Hermann-Mauguin point groups | 4 | 4^_ | 4/m | 422 | 4mm | 4^_2m | 4/mmm | 4 | 4^_ | 4/m | 422 | 4mm | 4^_2m | 4/mmm IUCr space group number | 75 | 76 | 77 | 78 | 79 | 80 | 81 | 82 | 83 | 84 | ... (total: 68) | 75 | 76 | 77 | 78 | 79 | 80 | 81 | 82 | 83 | 84 | ... (total: 68) Hermann-Mauguin space groups | P4 | P4_1 | P4_2 | P4_3 | I4 | I4_1 | P4^_ | I4^_ | P4/m | P4_2/m | ... (total: 68) | P4 | P4_1 | P4_2 | P4_3 | I4 | I4_1 | P4^_ | I4^_ | P4/m | P4_2/m | ... (total: 68)