Electron microscopy
R3c (161) Space Group
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Table 1883. R3c (161) space group.

Name in the International Tables for Crystallography
R3c R
166 3m
Crystal system
Trigonal -3m
0 ≤ x ≤ 2/3 and 0 ≤ y ≤ 2/3 and 0 ≤ z ≤ 1/6 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; 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+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+Y-X, 2/3+Y, 1/6+Z; 1/3+X, 2/3+X-Y, 1/6+Z
Crystal examples
Rhombohedral (trigonal) symmetry: lithium niobate (LiNBO3) and lithium tantalate (LiTaO3).




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