International
Tables for
Crystallography
Volume D
Physical properties of crystals
Edited by A. Authier

International Tables for Crystallography (2006). Vol. D, ch. 1.1, p. 10

Section 1.1.3.8.1. Interpretation of the coefficients of the matrix – change of coordinates

A. Authiera*

aInstitut de Minéralogie et de la Physique des Milieux Condensés, Bâtiment 7, 140 rue de Lourmel, 75015 Paris, France
Correspondence e-mail: aauthier@wanadoo.fr

1.1.3.8.1. Interpretation of the coefficients of the matrix – change of coordinates

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We have under a change of axes: [x^{\prime i}= A^i_{j}x\hskip1pt^{j}.]This shows that the new components, [x'^{i}], can be considered linear functions of the old components, [x\hskip1pt^{j}], and one can write [A^i_{j}= \partial x'^{i}/\partial x\hskip1pt^{j}= \partial _{j} x'^{i}.]It should be noted that the covariance has been increased.








































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