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

International Tables for Crystallography (2013). Vol. D, ch. 1.3, p. 98

Section 1.3.8. Glossary

A. Authiera* and A. Zarembowitchb

aInstitut de Minéralogie et de Physique des Milieux Condensés, 4 Place Jussieu, 75005 Paris, France, and bLaboratoire de Physique des Milieux Condensés, Université P. et M. Curie, 75252 Paris CEDEX 05, France
Correspondence e-mail:

1.3.8. Glossary

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[{\bf e}_{i}] covariant basis vector
[A^{T}] transpose of matrix A
[u_{i}] components of the displacement vector
[S_{ij}] components of the strain tensor
[S_{\alpha}] components of the strain Voigt matrix
[T_{ij}] components of the stress tensor
[T_{\alpha}] components of the stress Voigt matrix
p pressure
[\boldnu] normal stress
[\boldtau] shear stress
[s_{ijkl}] second-order elastic compliances
[s_{\alpha\beta}] reduced second-order elastic compliances
[(s_{ijkl})^{\sigma}] adiabatic second-order elastic compliances
[s_{ijklmn}] third-order elastic compliances
[c_{ijkl}] second-order elastic stiffnesses
[(c_{ijkl})^{\sigma}] adiabatic second-order elastic stiffnesses
[c_{\alpha\beta}] reduced second-order elastic stiffnesses
[c_{ijklmn}] third-order elastic stiffnesses
ν Poisson's ratio
E Young's modulus
κ bulk modulus (volume compressibility)
λ, μ Lamé constants
Θ temperature
[c^{S}] specific heat at constant strain
ρ volumic mass
[\Theta_{D}] Debye temperature
[k_{B}] Boltzmann constant
U internal energy
F free energy


Every, A. G. & McCurdy, A. K. (1992). Second and higher order elastic constants. In Landolt-Börnstein, Group III, Condensed Matter, Volume 29, Subvolume A. Berlin/Heidelberg/New York: Springer.
Fischer, M., Zarembowitch, A. & Breazeale, M. A. (1980). Nonlinear elastic behavior and instabilities in crystals. Ultrasonics Symposium Proc. IEEE, pp. 999–1002.
Melcher, R. L. & Scott, B. A. (1972). Soft acoustic modes at the co­operative Jahn–Teller transition in DyVO4. Phys. Rev. Lett. 28, 607–610.
Nouet, J., Zarembowitch, A., Pisarev, R. V., Ferré, J. & Lecomte, M. (1972). Determination of TN for KNiF3 through elastic, magneto-optical and heat capacity measurements. Appl. Phys. Lett. 21, 161–162.
Rousseau, M., Gesland, J. Y., Julliard, J., Nouet, J., Zarembowitch, J. & Zarembowitch, A. (1975). Crystallographic, elastic and Raman scattering investigations of structural phase transitions in RbCdF3 and TlCdF3. Phys. Rev. 12, 1579–1590.

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