R-3 (148) space group

R-3 (148) Space Group
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Table 1529. R-3 (148) space group.

Name in the International Tables for Crystallography	R-3	Lattice type	R
Patterson space group	148	Point group	-3
Crystal system	Trigonal	Laue class	-3
Asymm	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)
Number of symmetry operators	18	Absence of reflections
Translation
Symmetry (atomic coordinates)	X, Y, Z; -Y, X-Y, Z; Y-X, -X, Z; -X, -Y, -Z; Y, Y-X, -Z; X-Y, X, -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-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; 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-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
Crystal examples

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