Journal
JOURNAL OF APPLIED CRYSTALLOGRAPHY
Volume 48, Issue -, Pages 418-430Publisher
WILEY-BLACKWELL
DOI: 10.1107/S1600576715001466
Keywords
X-ray line broadening; rocking curves; polar decomposition; Laue asterism; redundant dislocations; geometrically necessary dislocations
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Funding
- Teaching Development Grant of the City University of Hong Kong [6000451]
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X-ray diffraction peak broadening is discussed in terms of line broadening and rocking-curve broadening in a novel theoretical description. The nonlocal strain tensor is factorized by using the method of polar decomposition instead of the more conventional separation into symmetrical and antisymmetrical components. A number of X-ray line-broadening and rocking-curve experiments on the same single crystals or individual grains in bulk polycrystals prove that plastic deformation produces strained subgrains mutually rotated by rigid-body rotations. The novel theoretical description appropriately accounts for the rigid-body rotation and strain at the same time and provides straightforward separation of the two effects of line and rocking-curve broadening in the radial and normal directions of the diffraction vector. The mathematical results are discussed in terms of experiments of X-ray diffraction, Laue asterism and electron backscatter diffraction. From the experimental results it is shown that the simultaneous evaluation of line and rocking-curve broadening provides qualitative information about the redundant and geometrically necessary character of dislocations, not available if only one or the other is accessible.
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