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A general approach for determining the contrast factor of dislocations

Jorge Martinez-Garcia 1Matteo Leoni 2Paolo Scardi 2

1. Ecole Polytechnique Federale de Lausanne (EPFL), Lausanne 1015, Switzerland
2. Department of Material Engineering and Industrial Tecnology, University of Trento (DIMTI), v. Mesiano 77, Trento 38100, Italy

Abstract

Dislocations are known for their peculiar effect on the diffraction line profile. Each given dislocation type, defined by the slip system and dislocation character, produces a specific anisotropic line broadening basically determined by the so-called Contrast Factor (CF). The determination of CFs is made difficult by a complex elastic strain and geometrical problem, which is strongly dependent on the symmetry of the crystal lattice. As a consequence, CF calculations were so far limited to some high symmetry - cubic and hexagonal - lattices. In the present work a general algorithm is presented for the calculation of CFs for any dislocation configuration and lattice symmetry. It will be shown that numerical values can be obtained in the general case, and that explicit analytical expressions can be found in some relevant cases.

 

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Related papers

Presentation: Oral at 11th European Powder Diffraction Conference, Microsymposium 4, by Jorge Martinez-Garcia
See On-line Journal of 11th European Powder Diffraction Conference

Submitted: 2008-04-30 10:40
Revised:   2009-06-07 00:48