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Calculation of Single‐Crystal Elastic Constants for Cubic Crystal Symmetry from Powder Diffraction Data
Author(s) -
GnäupelHerold Thomas,
Brand Paul C.,
Prask Henry J.
Publication year - 1998
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s002188989800898x
Subject(s) - lattice constant , diffraction , single crystal , anisotropy , computation , materials science , crystallography , work (physics) , crystal (programming language) , powder diffraction , symmetry (geometry) , lattice (music) , condensed matter physics , cubic crystal system , chemistry , physics , thermodynamics , optics , geometry , mathematics , programming language , algorithm , computer science , acoustics
In this work a method is developed that allows the computation of the single‐crystal elastic constants for crystals of cubic symmetry from the diffraction elastic constants. The diffraction elastic constants can be obtained by measuring the hkl ‐dependent lattice strain response to an applied stress. Because of their hkl dependence they represent, partially, the anisotropic nature of the single‐crystal elastic constants. The computation of the single‐crystal elastic constants is carried out by a least‐squares refinement which fits the calculated diffraction elastic constants to the measured ones.