Input interpretation
![dmisteinbergite (mineral) | crystal system | ferroglaucophane (mineral) | crystal system](../image_source/6860eb569c286bc8c2e82786968273c6.png)
dmisteinbergite (mineral) | crystal system | ferroglaucophane (mineral) | crystal system
Result
![hexagonal | monoclinic](../image_source/bff8b3023937b1355c4f134ee0145657.png)
hexagonal | monoclinic
Basic properties
![| hexagonal | monoclinic crystal families | hexagonal | monoclinic required symmetries | 1 6-fold rotation axis | 1 2-fold rotation axis or 1 mirror plane Bravais lattices | 1 | 2 point groups | 7 | 3 space groups | 27 | 13](../image_source/e6cac0f18dc40e181032b7605ac66b19.png)
| hexagonal | monoclinic crystal families | hexagonal | monoclinic required symmetries | 1 6-fold rotation axis | 1 2-fold rotation axis or 1 mirror plane Bravais lattices | 1 | 2 point groups | 7 | 3 space groups | 27 | 13
Lattice properties
![| hexagonal | monoclinic lattice systems | hexagonal | monoclinic Bravais lattices | simple hexagonal | simple monoclinic | base-centered monoclinic angle relations | α = 90°, γ = 120° | α!=90°, β = γ = 90° edge relations | a!=c | a!=b!=c unit cell volume | 1/2 sqrt(3) a^2 c | a b c sin(α)](../image_source/3e3c2bf52f7758377baa63db96364485.png)
| hexagonal | monoclinic lattice systems | hexagonal | monoclinic Bravais lattices | simple hexagonal | simple monoclinic | base-centered monoclinic angle relations | α = 90°, γ = 120° | α!=90°, β = γ = 90° edge relations | a!=c | a!=b!=c unit cell volume | 1/2 sqrt(3) a^2 c | a b c sin(α)
Corresponding symmetry groups
![| hexagonal | monoclinic crystal class | hexagonal pyramidal | trigonal dipyramidal | hexagonal dipyramidal | hexagonal trapezoidal | dihexagonal pyramidal | ditrigonal dipyramidal | dihexagonal dipyramidal | sphenoidal | domatic | prismatic Schönflies point groups | {C_6, C_3h, C_6h, D_6, C_6v, D_3h, D_6h} | {C_2, C_s, C_2h} Hermann-Mauguin point groups | 6 | 6^_ | 6/m | 622 | 6mm | 6^_m2 | 6/mmm | 2 | m | 2/m IUCr space group number | 168 | 169 | 170 | 171 | 172 | 173 | 174 | 175 | 176 | 177 | ... (total: 27) | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | ... (total: 13) Hermann-Mauguin space groups | P6 | P6_1 | P6_5 | P6_262 | P6_464 | P6_3 | P6^_ | P6/m | P6_3/m | P622 | ... (total: 27) | P2 | P2_1 | C2 | Pm | Pc | Cm | Cc | P2/m | P2_1/m | C2/m | ... (total: 13)](../image_source/c627e47625480e83ef83cfdff142056a.png)
| hexagonal | monoclinic crystal class | hexagonal pyramidal | trigonal dipyramidal | hexagonal dipyramidal | hexagonal trapezoidal | dihexagonal pyramidal | ditrigonal dipyramidal | dihexagonal dipyramidal | sphenoidal | domatic | prismatic Schönflies point groups | {C_6, C_3h, C_6h, D_6, C_6v, D_3h, D_6h} | {C_2, C_s, C_2h} Hermann-Mauguin point groups | 6 | 6^_ | 6/m | 622 | 6mm | 6^_m2 | 6/mmm | 2 | m | 2/m IUCr space group number | 168 | 169 | 170 | 171 | 172 | 173 | 174 | 175 | 176 | 177 | ... (total: 27) | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | ... (total: 13) Hermann-Mauguin space groups | P6 | P6_1 | P6_5 | P6_262 | P6_464 | P6_3 | P6^_ | P6/m | P6_3/m | P622 | ... (total: 27) | P2 | P2_1 | C2 | Pm | Pc | Cm | Cc | P2/m | P2_1/m | C2/m | ... (total: 13)