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

International Tables for Crystallography (2006). Vol. D, ch. 1.3, p. 97

Section 1.3.8. Glossary

A. Authiera* and A. Zarembowitchb

aInstitut de Minéralogie et de la Physique des Milieux Condensés, Bâtiment 7, 140 rue de Lourmel, 75015 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


Landoldt-Börnstein (1979). Group III. Crystal and solid state physics. Berlin: Springer-Verlag.
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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