Input interpretation
![melilite (mineral) | crystal system | souzalite (mineral) | crystal system](../image_source/6c6e04a06dcc9e5699e4b67b6a8b6cac.png)
melilite (mineral) | crystal system | souzalite (mineral) | crystal system
Result
![tetragonal | triclinic](../image_source/94e08f5fceca50bef88c3aa735607769.png)
tetragonal | triclinic
Basic properties
![| tetragonal | triclinic crystal families | tetragonal | triclinic required symmetries | 1 4-fold rotation axis | none Bravais lattices | 2 | 1 point groups | 7 | 2 space groups | 68 | 2](../image_source/7239f7d7b12ac21699b0176da3a3385b.png)
| tetragonal | triclinic crystal families | tetragonal | triclinic required symmetries | 1 4-fold rotation axis | none Bravais lattices | 2 | 1 point groups | 7 | 2 space groups | 68 | 2
Lattice properties
![| tetragonal | triclinic lattice systems | tetragonal | triclinic Bravais lattices | simple tetragonal | centered tetragonal | simple triclinic angle relations | α = β = γ = 90° | α!=β!=γ edge relations | a = b!=c | a!=b!=c unit cell volume | a b c | a b c sqrt(2 cos(α) cos(β) cos(γ) - cos^2(α) - cos^2(β) - cos^2(γ) + 1)](../image_source/f8c3a4644b086a1e0391d53421058bba.png)
| tetragonal | triclinic lattice systems | tetragonal | triclinic Bravais lattices | simple tetragonal | centered tetragonal | simple triclinic angle relations | α = β = γ = 90° | α!=β!=γ edge relations | a = b!=c | a!=b!=c unit cell volume | a b c | a b c sqrt(2 cos(α) cos(β) cos(γ) - cos^2(α) - cos^2(β) - cos^2(γ) + 1)
Corresponding symmetry groups
![| tetragonal | triclinic crystal class | tetragonal pyramidal | tetragonal disphenoidal | tetragonal dipyramidal | tetragonal trapezoidal | ditetragonal pyramidal | tetragonal scalenoidal | ditetragonal dipyramidal | pedial | pinacoidal Schönflies point groups | {C_4, S_4, C_4h, D_4, C_4v, D_2d, D_4h} | {C_1, C_i} Hermann-Mauguin point groups | 4 | 4^_ | 4/m | 422 | 4mm | 4^_2m | 4/mmm | 1 | 1^_ IUCr space group number | 75 | 76 | 77 | 78 | 79 | 80 | 81 | 82 | 83 | 84 | ... (total: 68) | 1 | 2 Hermann-Mauguin space groups | P4 | P4_1 | P4_2 | P4_3 | I4 | I4_1 | P4^_ | I4^_ | P4/m | P4_2/m | ... (total: 68) | P1 | P1^_](../image_source/c3de7634e9ca1ffcb475c1323e5f4e47.png)
| tetragonal | triclinic crystal class | tetragonal pyramidal | tetragonal disphenoidal | tetragonal dipyramidal | tetragonal trapezoidal | ditetragonal pyramidal | tetragonal scalenoidal | ditetragonal dipyramidal | pedial | pinacoidal Schönflies point groups | {C_4, S_4, C_4h, D_4, C_4v, D_2d, D_4h} | {C_1, C_i} Hermann-Mauguin point groups | 4 | 4^_ | 4/m | 422 | 4mm | 4^_2m | 4/mmm | 1 | 1^_ IUCr space group number | 75 | 76 | 77 | 78 | 79 | 80 | 81 | 82 | 83 | 84 | ... (total: 68) | 1 | 2 Hermann-Mauguin space groups | P4 | P4_1 | P4_2 | P4_3 | I4 | I4_1 | P4^_ | I4^_ | P4/m | P4_2/m | ... (total: 68) | P1 | P1^_