Input interpretation
bytownite (mineral) | crystal system | fluorannite (mineral) | crystal system
Result
triclinic | monoclinic
Basic properties
| triclinic | monoclinic crystal families | triclinic | monoclinic required symmetries | none | 1 2-fold rotation axis or 1 mirror plane Bravais lattices | 1 | 2 point groups | 2 | 3 space groups | 2 | 13
Lattice properties
| triclinic | monoclinic lattice systems | triclinic | monoclinic Bravais lattices | simple triclinic | simple monoclinic | base-centered monoclinic angle relations | α!=β!=γ | α!=90°, 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 sin(α)
Corresponding symmetry groups
| triclinic | monoclinic crystal class | pedial | pinacoidal | sphenoidal | domatic | prismatic Schönflies point groups | {C_1, C_i} | {C_2, C_s, C_2h} Hermann-Mauguin point groups | 1 | 1^_ | 2 | m | 2/m IUCr space group number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | ... (total: 13) Hermann-Mauguin space groups | P1 | P1^_ | P2 | P2_1 | C2 | Pm | Pc | Cm | Cc | P2/m | P2_1/m | C2/m | ... (total: 13)