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 Results for DC.creator="B." AND DC.creator="T." AND DC.creator="M." AND DC.creator="Willis" in section 7.4.2 of volume C
Correction factor for powders
Willis, B. T. M.  International Tables for Crystallography (2006). Vol. C, Section 7.4.2.4, p. 657 [ doi:10.1107/97809553602060000607 ]
Correction factor for powders 7.4.2.4. Correction factor for powders Thermal diffuse scattering in X-ray powder-diffraction patterns produces a non-uniform background that peaks sharply at the positions of the Bragg reflections, as in the single-crystal case (see Fig. 7.4.2.4). For a given value of the scattering vector ...

TDS correction factor for thermal neutrons (single crystals)
Willis, B. T. M.  International Tables for Crystallography (2006). Vol. C, Section 7.4.2.3, pp. 656-657 [ doi:10.1107/97809553602060000607 ]
... for pulsed neutrons, where the incident wavelength varies (see Popa & Willis, 1994). The scattering surfaces are determined by the conservation ... of neutrons: (a) for neutrons faster than sound ([beta] < 1); (b) for neutrons slower than sound ([beta] > 1). The scattering ... sound neutrons. The final results can be summarized as follows (Willis, 1970; Cooper, 1971): (a) For faster-than-sound neutrons, ...

Calculation of [alpha]
Willis, B. T. M.  International Tables for Crystallography (2006). Vol. C, Section 7.4.2.2.2, pp. 655-656 [ doi:10.1107/97809553602060000607 ]
... where Tmn, an element of a 3 × 3 symmetric matrix T, is defined by Equation (7.4.2.9) can also be written in ... of reciprocal space covered in the background measurement. To evaluate T requires the integration of the function A-1 over the ... volume abcd swept out for (a) an [omega] scan, and (b) a [theta]/2[theta], or [omega]/2[theta], scan. ...

Thermal diffuse scattering
Willis, B. T. M.  International Tables for Crystallography (2006). Vol. C, Section 7.4.2, pp. 653-657 [ doi:10.1107/97809553602060000607 ]
... k Wavevector of scattered radiation Boltzmann's constant Neutron mass m Mass of unit cell N Number of unit cells in ... for all values of q [see Section 4.1.1 of IT B (2001)]. The one-phonon scattering by the acoustic modes ... extremely high energy resolution. The separation is also possible using Mössbauer spectroscopy. Fig. 7.4.2.1 shows the elastic and inelastic ...

TDS correction factor for X-rays (single crystals)
Willis, B. T. M.  International Tables for Crystallography (2006). Vol. C, Section 7.4.2.2, pp. 654-656 [ doi:10.1107/97809553602060000607 ]
... by the detector at the crystal and over the time t spent in scanning the reflection. Using with dH = H d ... of small wavevector q is [see Section 4.1.1 of IT B (2001)]. Here, ej(q) is the polarization vector of ... index for labelling the acoustic branches of the dispersion relations, m is the mass of the unit cell and is ...

Glossary of symbols
Willis, B. T. M.  International Tables for Crystallography (2006). Vol. C, Section 7.4.2.1, pp. 653-654 [ doi:10.1107/97809553602060000607 ]
... k Wavevector of scattered radiation Boltzmann's constant Neutron mass m Mass of unit cell N Number of unit cells in ... for all values of q [see Section 4.1.1 of IT B (2001)]. The one-phonon scattering by the acoustic modes ... extremely high energy resolution. The separation is also possible using Mössbauer spectroscopy. Fig. 7.4.2.1 shows the elastic and inelastic ...

Evaluation of J(q)
Willis, B. T. M.  International Tables for Crystallography (2006). Vol. C, Section 7.4.2.2.1, pp. 654-655 [ doi:10.1107/97809553602060000607 ]
... elastic stiffness constants is described in Section 4.1.6 of IT B (2001). For each direction of propagation , there are three ... of a given wavelength, were first plotted by Jahn (1942a,b). These surfaces are not spherical even for cubic crystals ... to another. References International Tables for Crystallography (2001). Vol. B. Reciprocal space, edited by U. Shmueli, 2nd ed. Dordrecht: ...

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