Input interpretation
![acetamide (mineral) | crystal system](../image_source/98af1d4006a53d66e4573bf33be0f507.png)
acetamide (mineral) | crystal system
Result
![trigonal](../image_source/f60e228a0576e5dee5819cdc14de1d6c.png)
trigonal
Basic properties
![crystal family | hexagonal required symmetry | 1 3-fold rotation axis Bravais lattices | 2 point groups | 5 space groups | 25](../image_source/7af912f6ad194c50cbc326a7a3598a9e.png)
crystal family | hexagonal required symmetry | 1 3-fold rotation axis Bravais lattices | 2 point groups | 5 space groups | 25
Lattice properties
![lattice systems | rhombohedral | hexagonal Bravais lattices | simple trigonal | simple hexagonal lattice schematics | angle relations | α = β = γ!=90° | α = 90°, γ = 120° edge relations | a = b = c | a!=c unit cell volume | a b c sqrt(2 cos^3(α) - 3 cos^2(α) + 1) | 1/2 sqrt(3) a^2 c](../image_source/38a1c3358dcae61db91b9fe454bb48a2.png)
lattice systems | rhombohedral | hexagonal Bravais lattices | simple trigonal | simple hexagonal lattice schematics | angle relations | α = β = γ!=90° | α = 90°, γ = 120° edge relations | a = b = c | a!=c unit cell volume | a b c sqrt(2 cos^3(α) - 3 cos^2(α) + 1) | 1/2 sqrt(3) a^2 c
Point groups
![crystal class | Schönflies | Hermann-Mauguin trigonal pyramidal | C_3 | 3 rhombohedral | S_6 | 3^_ trigonal trapezoidal | D_3 | 32 ditrigonal pyramidal | C_3v | 3m ditrigonal scalahedral | D_3d | 3^_m](../image_source/dc23e6ba4fb472aff1063c8085f1c737.png)
crystal class | Schönflies | Hermann-Mauguin trigonal pyramidal | C_3 | 3 rhombohedral | S_6 | 3^_ trigonal trapezoidal | D_3 | 32 ditrigonal pyramidal | C_3v | 3m ditrigonal scalahedral | D_3d | 3^_m
Space groups
![crystal class | IUCr number | Hermann-Mauguin trigonal pyramidal | 143 | 144 | 145 | 146 | P3 | P3_1 | P3_2 | R3 rhombohedral | 147 | 148 | P3^_ | R3^_ trigonal trapezoidal | 149 | 150 | 151 | 152 | 153 | 154 | 155 | P312 | P321 | P3_112 | P3_121 | P3_212 | P3_221 | R32 ditrigonal pyramidal | 156 | 157 | 158 | 159 | 160 | 161 | P3m1 | P31m | P3c1 | P31c | R3m | R3c ditrigonal scalahedral | 162 | 163 | 164 | 165 | 166 | 167 | P3^_1m | P3^_1c | P3^_m1 | P3^_c1 | R3^_m | R3^_c](../image_source/6376d27e2233b36e83a3485fe093b73e.png)
crystal class | IUCr number | Hermann-Mauguin trigonal pyramidal | 143 | 144 | 145 | 146 | P3 | P3_1 | P3_2 | R3 rhombohedral | 147 | 148 | P3^_ | R3^_ trigonal trapezoidal | 149 | 150 | 151 | 152 | 153 | 154 | 155 | P312 | P321 | P3_112 | P3_121 | P3_212 | P3_221 | R32 ditrigonal pyramidal | 156 | 157 | 158 | 159 | 160 | 161 | P3m1 | P31m | P3c1 | P31c | R3m | R3c ditrigonal scalahedral | 162 | 163 | 164 | 165 | 166 | 167 | P3^_1m | P3^_1c | P3^_m1 | P3^_c1 | R3^_m | R3^_c