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Atomic displacement parameters
Kuhs, W. F.  International Tables for Crystallography (2013). Vol. D, ch. 1.9, pp. 231-245 [ doi:10.1107/97809553602060000908 ]
... may also be approximated [though with weaker theoretical justification, see Kuhs (1992)] by a Gaussian distribution: As in equation (1.9.1.3), the ... in IT B (2001), equation (1.2.12.9 ) and more completely in Kuhs (1988, 1992). The moment- and cumulant-generating functions are ... the Edgeworth series are given in Zucker & Schulz (1982a,b), Kuhs (1983, 1988, 1992) and Scheringer (1985). 1.9.2.1. Tensorial ...

Higher-order representations
Kuhs, W. F.  International Tables for Crystallography (2013). Vol. D, Section 1.9.4.2, pp. 242-245 [ doi:10.1107/97809553602060000908 ]
... d) b123 (point group ). Fourth-order terms: (e) b2222; (f) b1111 = b2222; (g) b1111 = b2222 = b3333 (point group ); (h) b1222 ... point group ); (t) b112222; (u) b111133 = b222233; (v) b113333 = b223333; (w) b111122 = b112222 = b111133 = b113333 = b222233 = b223333 (point group ); (x) b112233 ... Crystallogr. 6, 263-271. Smith, V. H. Jr, Price, P. F. & Absar, I. (1977). Representations of electron density and ...
     [more results from section 1.9.4 in volume D]

Key to tables
Kuhs, W. F.  International Tables for Crystallography (2013). Vol. D, Section 1.9.3.2, p. 235 [ doi:10.1107/97809553602060000908 ]
... 0 E 0 B13 3 A B B 0 0 F B14 3 A B C B/2 0 0 B15 ... 0 E 0 B18 4 A B C 0 0 F B19 4 A A C D E -E B20 4 ... D E D B23 4 A B B D -D F B24 4 A B B D D F B25 ...
     [more results from section 1.9.3 in volume D]

Contraction, expansion and invariants of atomic displacement tensors
Kuhs, W. F.  International Tables for Crystallography (2013). Vol. D, Section 1.9.2.2, pp. 232-235 [ doi:10.1107/97809553602060000908 ]
... contracted or expanded; rules for these operations are found in Kuhs (1992). References Johnson, C. K. (1970). Generalized treatments ... B. T. M. Willis, pp. 132-160. Oxford University Press. Kuhs, W. F. (1992) Generalized atomic displacements in crystallographic structure analysis. ...
     [more results from section 1.9.2 in volume D]

Introduction
Kuhs, W. F.  International Tables for Crystallography (2013). Vol. D, Section 1.9.1, p. 231 [ doi:10.1107/97809553602060000908 ]
... may also be approximated [though with weaker theoretical justification, see Kuhs (1992)] by a Gaussian distribution: As in equation (1.9.1.3), the ... Uij and [beta]ij (Trueblood et al., 1996). References Kuhs, W. F. (1992) Generalized atomic displacements in crystallographic structure analysis. ...

Glossary
Kuhs, W. F.  International Tables for Crystallography (2013). Vol. D, Section 1.9.5, p. 245 [ doi:10.1107/97809553602060000908 ]
Glossary 1.9.5. Glossary atomic displacement tensor , atomic displacement parameter gij metric tensor S[alpha] atomic static Debye-Waller factor T[alpha] atomic thermal Debye-Waller factor Q scattering vector u i atomic displacement References International Tables for Crystallography (2013). Vol. D, ch. 1.9, p. 245 International Union of Crystallography 2013 ...

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