International
Tables for
Crystallography
Volume H
Powder diffraction
Edited by C. J. Gilmore, J. A. Kaduk and H. Schenk

International Tables for Crystallography (2018). Vol. H, ch. 3.2, p. 260

Table 3.2.1 

P. W. Stephensa*

aDepartment of Physics and Astronomy, Stony Brook University, Stony Brook, NY 11794–3800, USA
Correspondence e-mail: peter.stephens@stonybrook.edu

Table 3.2.1| top | pdf |
Restrictions and reflections of anisotropic strain parameters for the various Laue classes

[\bar 3, \bar 3m1, \bar31m]: hexagonal indices.

Class[\langle1/d^2\rangle^2]
[\bar{1}] [S_{400} h^4 + S_{040}k^4 + S_{004}l^4 + S_{220}h^2k^2 + S_{202}h^2l^2] + [S_{022}k^2l^2 + S_{310}h^3k + S_{130}hl^3 + S_{301}h^3l + S_{103}hl^3] + [S_{031}k^3l + S_{013}kl^3 + S_{211}h^2kl + S_{121}hk^2l + S_{112}hkl^2]
2/m (b-axis unique) [S_{400} h^4 + S_{040}k^4 + S_{004}l^4 + S_{220}h^2k^2 + S_{202}h^2l^2] + [S_{022}k^2l^2 + S_{301}h^3l + S_{103}hl^3 + S_{121}hk^2l]
2/mmm [S_{400} h^4 + S_{040}k^4 + S_{004}l^4 + S_{220}h^2k^2 + S_{202}h^2l^2 + S_{022}k^2l^2]
4/m [S_{400} (h^4 + k^4) + S_{004} l^4 + S_{220}h^2k^2 + S_{202} (h^2 + k^2) l^2] + [S_{310} (h^3k - h k^3)]
4/mmm [S_{400} (h^4 + k^4) + S_{004} l^4 + S_{220}h^2k^2 + S_{202} (h^2 + k^2) l^2 ]
[\bar{3}] [S_{400} (h^2 + k^2 + hk)^2 + S_{202} (h^2 + k^2 + hk) l^2 + S_{004} l^4] + [S_{211}(h^3 - k^3 + 3 h^2k)l + S_{121}(-h^3 + k^3 + 3 hk^2)l]
[\bar{3}m1] [S_{400} (h^2 + k^2 + hk)^2 + S_{202} (h^2 + k^2 + hk) l^2 + S_{004} l^4] + [S_{301}(2 h^3 +3 h^2 k -3 h k^2 -2 k^3)l]
[\bar{3}1m] [S_{400} (h^2 + k^2 + hk)^2 + S_{202} (h^2 + k^2 + hk) l^2 + S_{004} l^4] + [S_{211}(h^2 k + h k^2)l]
Hexagonal [S_{400} (h^2 + k^2 + hk)^2 + S_{202} (h^2 + k^2 + hk) l^2 + S_{004} l^4]
Cubic [S_{400} (h^4 + k^4 + l^4) + S_{220} (h^2k^2 + h^2 l^2 + k^2 l^2)]