International Tables for Crystallography

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International Tables for Crystallography (2006). Vol. B, Section 5.3.2
Dynamical theory of neutron diffraction
M. Schlenker and J.-P. Guigay. International Tables for Crystallography (2010). Vol. B, ch. 5.3, pp. 654-664  [ doi:10.1107/97809553602060000781 ]

Abstract

Dynamical scattering effects, such as Pendellösung oscillations, anomalous transmission, rocking-curve shapes or extinction, occur in neutron diffraction just as in the X-ray case. New features due to the neutron's magnetic moment appear in diffraction by magnetic crystals. The theory has to be formulated in terms of spinor wavefunctions. The dispersion surface, for the usual two-beam case, is of order 4, with wavefields polarized in various directions. If the mean value of the internal magnetic field and the Fourier component with wavevector equal to the scattering vector in the reflection under consideration of the microscopic magnetic field are parallel or antiparallel, this complicated situation is simplified: the propagation of the (±) spinor components are then independent of each other. Dynamical diffraction effects are involved in numerous neutron optics experiments and in the imaging of various types of magnetic domains by neutron topography.


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About International Tables for Crystallography

International Tables for Crystallography is the definitive resource and reference work for crystallography. The multi-volume series comprises articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the structure and properties of materials.