Pn-3m (224) Space Group

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Table 3009a. Pn-3m (224) space group.

Name in the International Tables for Crystallography	Pn-3m	Lattice type	P
Patterson space group	221	Point group	m-3m
Crystal system	Cubic	Laue class	m-3m
Asymm	0 ≤ x ≤ 1/2 and 0 ≤ y ≤ 1/2 and -1/4 ≤ z ≤ 1/4 and y ≤ x and max(x-1/2,-y) ≤ z ≤ min(1/2-x,y)
Number of symmetry operators	48	d-spacing ratios of allowed Bragg reflections	1, √2, √3, √4, √6, √8, √9, √10, √11, √12, √14, √16, ...
Symmetry (atomic coordinates)	X, Y, Z; -X, -Y, Z; -X, Y, -Z; X, -Y, -Z; Z, X, Y; Z, -X, -Y; -Z, -X, Y; -Z, X, -Y; Y, Z, X; -Y, Z, -X; Y, -Z, -X; -Y, -Z, X; 1/2+Y, 1/2+X, 1/2-Z; 1/2-Y, 1/2-X, 1/2-Z; 1/2+Y, 1/2-X, 1/2+Z; 1/2-Y, 1/2+X, 1/2+Z; 1/2+X, 1/2+Z, 1/2-Y; 1/2-X, 1/2+Z, 1/2+Y; 1/2-X, 1/2-Z, 1/2-Y; 1/2+X, 1/2-Z, 1/2+Y; 1/2+Z, 1/2+Y, 1/2-X; 1/2+Z, 1/2-Y, 1/2+X; 1/2-Z, 1/2+Y, 1/2+X; 1/2-Z, 1/2-Y, 1/2-X; 1/2-X, 1/2-Y, 1/2-Z; 1/2+X, 1/2+Y, 1/2-Z; 1/2+X, 1/2-Y, 1/2+Z; 1/2-X, 1/2+Y, 1/2+Z; 1/2-Z, 1/2-X, 1/2-Y; 1/2-Z, 1/2+X, 1/2+Y; 1/2+Z, 1/2+X, 1/2-Y; 1/2+Z, 1/2-X, 1/2+Y; 1/2-Y, 1/2-Z, 1/2-X; 1/2+Y, 1/2-Z, 1/2+X; 1/2-Y, 1/2+Z, 1/2+X; 1/2+Y, 1/2+Z, 1/2-X; -Y, -X, Z; Y, X, Z; -Y, X, -Z; Y, -X, -Z; -X, -Z, Y; X, -Z, -Y; X, Z, Y; -X, Z, -Y; -Z, -Y, X; -Z, Y, -X; Z, -Y, -X; Z, Y, X

Table 3009b. Example of compounds with similar structures to BCC.

	BCC	TiO₂ (Rutile)	CsCl	Cu₂O (Cuprite)
Space group	Im-3m	P42/mnm	Pm-3m	Pn-3m
Compounds	α-Fe, W, Nb, Ta, Na, K, Mo, V	GeO₂, SnO₂, PbO₂	CsI, CsBr, CsCl	Pb₂O, Ag₂O


	[-1 -1 2] simple cubic Cu₂O [1]

Figure 3009. Examples of indexed electron diffraction (or FFT) patterns of Pn-3m (224) crystals.

[1] G. W. Zhou, TEM investigation of interfaces during cuprous island growth, Acta Materialia 57 (2009) 4432–4439.

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