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Generalized scattering factors
International Tables for Crystallography (2006). Vol. C, Section 6.1.1.4, pp. 565-584 [ doi:10.1107/97809553602060000600 ]
... generalized scattering factor is obtained from the Fourier transform of a perturbed atomic electron-density function. The exponential factor in the ... an expansion in terms of Legendre polynomials 1 where is a spherical Bessel function of order l and S = |S|. ... order are The perturbed electron density may be written as a multipole expansion in spherical polar coordinates , each term having ...
Scattering-factor interpolation
International Tables for Crystallography (2006). Vol. C, Section 6.1.1.3.1, p. 565 [ doi:10.1107/97809553602060000600 ]
Scattering-factor interpolation 6.1.1.3.1. Scattering-factor interpolation A general treatment of interpolation is complicated by possible difficulties resulting ... of scattering factors does not involve such problems, however, and a more restricted treatment suffices. An iterative method, applicable to a function f(x) tabulated at arbitrary values is due ...
Atomic scattering factor
International Tables for Crystallography (2006). Vol. C, Section 6.1.1.3, pp. 554-565 [ doi:10.1107/97809553602060000600 ]
... for coherent scattering is by convention related to that of a free electron at the nucleus. There is a phase shift of [pi] for scattering from a free electron. The scattering from an element of electron ...
Incoherent (Compton) scattering
International Tables for Crystallography (2006). Vol. C, Section 6.1.1.2, p. 554 [ doi:10.1107/97809553602060000600 ]
Incoherent (Compton) scattering 6.1.1.2. Incoherent (Compton) scattering For scattering from a free electron, the quantum nature of the radiation must be considered. Under the impact of a photon with energy hc/[lambda], momentum h/[lambda], the recoil of an electron, initially at rest, results in a change in wavelength of a geometry similar to that ...
Coherent (Rayleigh) scattering
International Tables for Crystallography (2006). Vol. C, Section 6.1.1.1, p. 554 [ doi:10.1107/97809553602060000600 ]
... scattering 6.1.1.1. Coherent (Rayleigh) scattering An electromagnetic wave incident on a tightly bound electron is scattered coherently. For an incident wave ... beams (Fig. 6.1.1.1 ), the amplitude of the scattered wave at a distance r is where is the classical radius of the ... and k are the incident and scattered wavevectors, respectively. For a wave with the electric vector parallel to the plane ...
Reflecting power of a crystal
International Tables for Crystallography (2006). Vol. C, Section 6.1.1.8, p. 590 [ doi:10.1107/97809553602060000600 ]
Reflecting power of a crystal 6.1.1.8. Reflecting power of a crystal The reflecting power of a small crystal of volume [Delta]V, rotated at angular ...
International Tables for Crystallography (2006). Vol. C, Section 6.1.1.4, pp. 565-584 [ doi:10.1107/97809553602060000600 ]
... generalized scattering factor is obtained from the Fourier transform of a perturbed atomic electron-density function. The exponential factor in the ... an expansion in terms of Legendre polynomials 1 where is a spherical Bessel function of order l and S = |S|. ... order are The perturbed electron density may be written as a multipole expansion in spherical polar coordinates , each term having ...
Scattering-factor interpolation
International Tables for Crystallography (2006). Vol. C, Section 6.1.1.3.1, p. 565 [ doi:10.1107/97809553602060000600 ]
Scattering-factor interpolation 6.1.1.3.1. Scattering-factor interpolation A general treatment of interpolation is complicated by possible difficulties resulting ... of scattering factors does not involve such problems, however, and a more restricted treatment suffices. An iterative method, applicable to a function f(x) tabulated at arbitrary values is due ...
Atomic scattering factor
International Tables for Crystallography (2006). Vol. C, Section 6.1.1.3, pp. 554-565 [ doi:10.1107/97809553602060000600 ]
... for coherent scattering is by convention related to that of a free electron at the nucleus. There is a phase shift of [pi] for scattering from a free electron. The scattering from an element of electron ...
Incoherent (Compton) scattering
International Tables for Crystallography (2006). Vol. C, Section 6.1.1.2, p. 554 [ doi:10.1107/97809553602060000600 ]
Incoherent (Compton) scattering 6.1.1.2. Incoherent (Compton) scattering For scattering from a free electron, the quantum nature of the radiation must be considered. Under the impact of a photon with energy hc/[lambda], momentum h/[lambda], the recoil of an electron, initially at rest, results in a change in wavelength of a geometry similar to that ...
Coherent (Rayleigh) scattering
International Tables for Crystallography (2006). Vol. C, Section 6.1.1.1, p. 554 [ doi:10.1107/97809553602060000600 ]
... scattering 6.1.1.1. Coherent (Rayleigh) scattering An electromagnetic wave incident on a tightly bound electron is scattered coherently. For an incident wave ... beams (Fig. 6.1.1.1 ), the amplitude of the scattered wave at a distance r is where is the classical radius of the ... and k are the incident and scattered wavevectors, respectively. For a wave with the electric vector parallel to the plane ...
Reflecting power of a crystal
International Tables for Crystallography (2006). Vol. C, Section 6.1.1.8, p. 590 [ doi:10.1107/97809553602060000600 ]
Reflecting power of a crystal 6.1.1.8. Reflecting power of a crystal The reflecting power of a small crystal of volume [Delta]V, rotated at angular ...
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