Input interpretation
![ice (mineral) | crystal system](../image_source/46a9bca96d12dcd46df831f948b5dc58.png)
ice (mineral) | crystal system
Result
![hexagonal](../image_source/850aa351bdcad7f9a009a6d0b568916a.png)
hexagonal
Basic properties
![crystal family | hexagonal required symmetry | 1 6-fold rotation axis Bravais lattices | 1 point groups | 7 space groups | 27](../image_source/5df6470678c31631990c966590db4298.png)
crystal family | hexagonal required symmetry | 1 6-fold rotation axis Bravais lattices | 1 point groups | 7 space groups | 27
Lattice properties
![lattice system | hexagonal Bravais lattice | simple hexagonal lattice schematic | angle relations | α = 90°, γ = 120° edge relations | a!=c unit cell volume | 1/2 sqrt(3) a^2 c](../image_source/2813057b8fece0b50de50dc8b8982e08.png)
lattice system | hexagonal Bravais lattice | simple hexagonal lattice schematic | angle relations | α = 90°, γ = 120° edge relations | a!=c unit cell volume | 1/2 sqrt(3) a^2 c
Point groups
![crystal class | Schönflies | Hermann-Mauguin hexagonal pyramidal | C_6 | 6 trigonal dipyramidal | C_3h | 6^_ hexagonal dipyramidal | C_6h | 6/m hexagonal trapezoidal | D_6 | 622 dihexagonal pyramidal | C_6v | 6mm ditrigonal dipyramidal | D_3h | 6^_m2 dihexagonal dipyramidal | D_6h | 6/mmm](../image_source/7980656413f2c170c51777e228f74a8f.png)
crystal class | Schönflies | Hermann-Mauguin hexagonal pyramidal | C_6 | 6 trigonal dipyramidal | C_3h | 6^_ hexagonal dipyramidal | C_6h | 6/m hexagonal trapezoidal | D_6 | 622 dihexagonal pyramidal | C_6v | 6mm ditrigonal dipyramidal | D_3h | 6^_m2 dihexagonal dipyramidal | D_6h | 6/mmm
Space groups
![crystal class | IUCr number | Hermann-Mauguin hexagonal pyramidal | 168 | 169 | 170 | 171 | 172 | 173 | P6 | P6_1 | P6_5 | P6_262 | P6_464 | P6_3 trigonal dipyramidal | 174 | P6^_ hexagonal dipyramidal | 175 | 176 | P6/m | P6_3/m hexagonal trapezoidal | 177 | 178 | 179 | 180 | 181 | 182 | P622 | P6_122 | P6_522 | P6_222 | P6_422 | P6_322 dihexagonal pyramidal | 183 | 184 | 185 | 186 | P6mm | P6cc | P6_3cm | P6_3mc ditrigonal dipyramidal | 187 | 188 | 189 | 190 | P6^_m2 | P6^_c2 | P6^_2m | P6^_2c dihexagonal dipyramidal | 191 | 192 | 193 | 194 | P6/mmm | P6/mcc | P6_3/mcm | P6_3/mmc](../image_source/589cef7b20f601f417385282350f6a2b.png)
crystal class | IUCr number | Hermann-Mauguin hexagonal pyramidal | 168 | 169 | 170 | 171 | 172 | 173 | P6 | P6_1 | P6_5 | P6_262 | P6_464 | P6_3 trigonal dipyramidal | 174 | P6^_ hexagonal dipyramidal | 175 | 176 | P6/m | P6_3/m hexagonal trapezoidal | 177 | 178 | 179 | 180 | 181 | 182 | P622 | P6_122 | P6_522 | P6_222 | P6_422 | P6_322 dihexagonal pyramidal | 183 | 184 | 185 | 186 | P6mm | P6cc | P6_3cm | P6_3mc ditrigonal dipyramidal | 187 | 188 | 189 | 190 | P6^_m2 | P6^_c2 | P6^_2m | P6^_2c dihexagonal dipyramidal | 191 | 192 | 193 | 194 | P6/mmm | P6/mcc | P6_3/mcm | P6_3/mmc