Table 5.2.1.1

Parrish, W.; Wilson, A. J. C.; Langford, J. I.

doi:10.1107/97809553602060000596

International
Tables for
Crystallography
Volume C
Mathematical, physical and chemical tables
Edited by E. Prince

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International Tables for Crystallography (2006). Vol. C. ch. 5.2, p. 492

Table 5.2.1.1

W. Parrish,^a ^‡ A. J. C. Wilson^b ^‡ and J. I. Langford^c

^a IBM Almaden Research Center, San Jose, CA, USA,^bSt John's College, Cambridge CB2 1TP, England, and ^cSchool of Physics & Astronomy, University of Birmingham, Birmingham B15 2TT, England

Table 5.2.1.1 | top | pdf |
Functions of the cell angles in equation (5.2.1.3) for the possible unit cells

Function	Cell
Function	Cubic tetragonal orthorhombic	Hexagonal	Monoclinic (c unique)	Rhombohedral	Triclinic
A	1	1	1	$[\sin^2\alpha]$	$[\sin^2\alpha]$
B	1	1	1	$[\sin^2\alpha]$	$[\sin^2\beta]$
C	1	$[3\over4]$	$[\sin^2\gamma]$	$[\sin^2\alpha]$	$[\sin^2\gamma]$
D	0	0	0	$[\cos^2\alpha-\cos\alpha]$	$[\cos\beta\cos\gamma-\cos\alpha]$
E	0	0	0	$[\cos^2\alpha-\cos\alpha]$	$[\cos\gamma\cos\alpha - \cos\beta]$
F	0	$[1\over2]$	$[-\cos\gamma]$	$[\cos^2\alpha-\cos\alpha]$	$[\cos\alpha\cos\beta - \cos\gamma]$
G	1	$[3\over4]$	$[\sin^2 \gamma]$	$[1+2\cos^3\alpha-3\cos^2\alpha]$	$[1+2\cos\alpha\cos\beta\cos\gamma]$ $[-\cos^2\alpha-\cos^2\beta-\cos^2\gamma]$