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. 8

Section 1.1.3.5.1. Definition

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

1.1.3.5.1. Definition

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Let us consider a tensor [t_{ijkl\ldots}] represented in an orthonormal frame where variance is not important. The value of component [t'_{1111\ldots}] in an arbitrary direction is given by [t'_{1111\ldots} = t_{ijkl\ldots}B^{i}_{1}B\hskip1pt^{j}_{1}B^{k}_{1}B^{l}_{1}\ldots,]where the [B^{i}_{1}], [B\hskip1pt^{j}_{1}, \ldots] are the direction cosines of that direction with respect to the axes of the orthonormal frame.

The representation surface of the tensor is the polar plot of [t'_{1111\ldots}].








































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