Table 6.1.1.11

Maslen, E. N.; Fox, A. G.; O'Keefe, M. A.

doi:10.1107/97809553602060000600

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. 6.1, p. 587

Table 6.1.1.11

E. N. Maslen,^e ^‡ A. G. Fox^b and M. A. O'Keefe^c

Table 6.1.1.11 | top | pdf |
Indices n_x, n_y, n_z allowed for the basis functions H_{n_x}(Ax)H_{n_y}(By)H_{n_z}(Cz); λ, μ and ν are non-negative; conditions for other choices of axes are derived by cyclic permutation

Symmetry	Coordinate axes	Allowed indices
1	Any	$[{\rm All}\,\,(n_x,n_y,n_z)]$
$[\bar1]$	Any	$[n_x+n_y+n_z=2\lambda]$
2	$[2\parallel z]$	$[n_x+n_y=2\lambda]$
m	$[m\,\bot\, z]$	$[n_z=2\nu]$
	$[2\parallel z,m\,\bot\,z]$	$[n_x+n_y=2\lambda,n_z=2\nu]$
222	$[2\parallel z,2\parallel y]$	all even or all odd
mm2	$[2\parallel z,m\,\bot\,y]$	$[n_x=2\lambda,n_y=2\mu]$
mmm	$[m\,\bot\,z,m\,\bot\,y,m\,\bot\,z]$	$[n_x=2\lambda,n_y=2\mu,n_z=2\nu]$