| Table 3006. R-3c (167) space group.
Name in the International Tables for Crystallography |
R-3c |
|
R |
|
166 |
|
-3m |
Crystal system |
Trigonal |
|
-3m |
|
36 |
Example of forbidden reflections in electron diffraction patterns |
{1 -1 0 0} reflections |
Asymm |
0 ≤ x ≤ 2/3 and 0 ≤ y ≤ 2/3 and 0 ≤ z ≤ 1/12 and x ≤ (1+y)/2 and y ≤ min(1-x, (1+x)/2) |
Symmetry (atomic coordinates) |
X, Y, Z;
-Y, X-Y, Z;
Y-X, -X, Z;
Y, X, 1/2-Z;
X-Y, -Y, 1/2-Z;
-X, Y-X, 1/2-Z;
-X, -Y, -Z;
Y, Y-X, -Z;
X-Y, X, -Z;
-Y, -X, 1/2+Z;
Y-X, Y, 1/2+Z;
X, X-Y, 1/2+Z;
2/3+X, 1/3+Y, 1/3+Z;
2/3-Y, 1/3+X-Y, 1/3+Z;
2/3+Y-X, 1/3-X, 1/3+Z;
2/3+Y, 1/3+X, 5/6-Z;
2/3+X-Y, 1/3-Y, 5/6-Z;
2/3-X, 1/3+Y-X, 5/6-Z;
2/3-X, 1/3-Y, 1/3-Z;
2/3+Y, 1/3+Y-X, 1/3-Z;
2/3+X-Y, 1/3+X, 1/3-Z;
2/3-Y, 1/3-X, 5/6+Z;
2/3+Y-X, 1/3+Y, 5/6+Z;
2/3+X, 1/3+X-Y, 5/6+Z;
1/3+X, 2/3+Y, 2/3+Z;
1/3-Y, 2/3+X-Y, 2/3+Z;
1/3+Y-X, 2/3-X, 2/3+Z;
1/3+Y, 2/3+X, 1/6-Z;
1/3+X-Y, 2/3-Y, 1/6-Z;
1/3-X, 2/3+Y-X, 1/6-Z;
1/3-X, 2/3-Y, 2/3-Z;
1/3+Y, 2/3+Y-X, 2/3-Z;
1/3+X-Y, 2/3+X, 2/3-Z;
1/3-Y, 2/3-X, 1/6+Z;
1/3+Y-X, 2/3+Y, 1/6+Z;
1/3+X, 2/3+X-Y, 1/6+Z |
Crystal examples |
VF3 (vanadium fluoride):
V at 0, 0, 0 and
F at 2/5, 0, 1/4.
Al2O3:
Al at 0, 0, 0.355 and
O at 0.303, 0, 0.25.
Centrosymmetric materials: lithium niobate (LiNBO3) and lithium tantalate (LiTaO3). |
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