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 Results for DC.creator="E." AND DC.creator="N." AND DC.creator="Maslen" in section 6.1.1 of volume C   page 1 of 2 pages.
X-ray scattering
Maslen, E. N., Fox, A. G. and O'Keefe, M. A.  International Tables for Crystallography (2006). Vol. C, Section 6.1.1, pp. 554-590 [ doi:10.1107/97809553602060000600 ]
... Mean atomic scattering factors in electrons for free atoms Methods: E: exact; RHF, *RHF (see text): relativistic Hartree-Fock. ElementHHeLiBeBCNOFNe Z12345678910 ... 1.56165 0.656665 1.05075 9.75618 0.839259 55.5949 0.286977 0.001 0.16 0.000 N RHF 12.2126 0.005700 3.13220 9.89330 2.01250 28.9975 1.16630 0.582600 -11.529 ... 0.65981 1.0000 6 C 1.70560 -1.56760 1.18930 -0.42715 1.0000 7 N 1.54940 -1.20190 0.51064 0.02472 1.0000 8 O 1.30530 -0.83742 - ...

Structure factor
Maslen, E. N., Fox, A. G. and O'Keefe, M. A.  International Tables for Crystallography (2006). Vol. C, Section 6.1.1.7, p. 590 [ doi:10.1107/97809553602060000600 ]
... the integration extends over the unit cell. If there are N atoms in the cell, this may be expressed as where ...

The quasi-Gaussian approximation for curvilinear motion
Maslen, E. N., Fox, A. G. and O'Keefe, M. A.  International Tables for Crystallography (2006). Vol. C, Section 6.1.1.6.6, p. 590 [ doi:10.1107/97809553602060000600 ]
... curvilinear motion (Dawson, 1970; Kay & Behrendt, 1963; Kendall & Stuart, 1963; Maslen, 1968; Pawley & Willis, 1970). References Dawson, B. (1970). ... statistics, Vol. 1, Chaps 2, 3 and 6. London: Griffin. Maslen, E. N. (1968). An expression for the temperature factor ...

Model-based curvilinear density functions
Maslen, E. N., Fox, A. G. and O'Keefe, M. A.  International Tables for Crystallography (2006). Vol. C, Section 6.1.1.6.5, pp. 589-590 [ doi:10.1107/97809553602060000600 ]
... is the Bessel function of the first kind of order n with real argument. Corresponding equations for the von Mises s ... undergoing librational motion. References Atoji, M., Watanabe, T. & Lipscomb, W. N. (1953). The X-ray scattering from a hindered rotator. ... Isotropic rotational Brownian motion. Phys. Rev. 107, 7-13. Gumbel, E. J., Greenwood, J. A. & Durand, D. (1953). The ...

Curvilinear density functions
Maslen, E. N., Fox, A. G. and O'Keefe, M. A.  International Tables for Crystallography (2006). Vol. C, Section 6.1.1.6.4, pp. 588-589 [ doi:10.1107/97809553602060000600 ]
Curvilinear density functions 6.1.1.6.4. Curvilinear density functions For groups of atoms moving on the surface of a circle or sphere, perturbation expansions in Cartesian coordinates may converge slowly. Methods of representing curvilinear density functions that are multimodal or have large amplitude are described by Press & Hüller (1973). For atoms ...

Cumulant expansion
Maslen, E. N., Fox, A. G. and O'Keefe, M. A.  International Tables for Crystallography (2006). Vol. C, Section 6.1.1.6.3, p. 588 [ doi:10.1107/97809553602060000600 ]
Cumulant expansion 6.1.1.6.3. Cumulant expansion In a cumulant expansion (Johnson & Levy, 1974), the entire series is expressed in exponential form. The cumulant expansion about S = 0 for the generalized temperature factor is where the coefficient tensor , a symmetric tensor of order p, is the pth-order cumulant. The inverse Fourier transform ...

Fourier-invariant expansions
Maslen, E. N., Fox, A. G. and O'Keefe, M. A.  International Tables for Crystallography (2006). Vol. C, Section 6.1.1.6.2, pp. 586-588 [ doi:10.1107/97809553602060000600 ]
... functions ; [mu], [nu] and j are integers such that m, n >= 0; (-)n implies p = - for n odd and p = + for n even Site symmetryCoordinate axesIndices ...

Gram-Charlier series
Maslen, E. N., Fox, A. G. and O'Keefe, M. A.  International Tables for Crystallography (2006). Vol. C, Section 6.1.1.6.1, p. 586 [ doi:10.1107/97809553602060000600 ]
Gram-Charlier series 6.1.1.6.1. Gram-Charlier series In the Gram-Charlier series expansion (Kuznetsov, Stratonovich & Tikhonov, 1960), the general p.d.f. is approximated by The operator is the pth partial (covariant) derivative , and is a contravariant component of the coefficient tensor. The quasi-moment coefficient tensors are symmetric for all permutations of ...

The generalized temperature factor
Maslen, E. N., Fox, A. G. and O'Keefe, M. A.  International Tables for Crystallography (2006). Vol. C, Section 6.1.1.6, pp. 585-590 [ doi:10.1107/97809553602060000600 ]
... functions ; [mu], [nu] and j are integers such that m, n >= 0; (-)n implies p = - for n odd and p = + for n even Site symmetryCoordinate axesIndices ...

The temperature factor
Maslen, E. N., Fox, A. G. and O'Keefe, M. A.  International Tables for Crystallography (2006). Vol. C, Section 6.1.1.5, pp. 584-585 [ doi:10.1107/97809553602060000600 ]
The temperature factor 6.1.1.5. The temperature factor The atoms in a solid vibrate about their equilibrium positions, with an amplitude that increases with temperature. As a result of this vibration, the amplitude for coherent scattering is modulated by the Fourier transform of the probability distribution for the vibrating atom, known as ...

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