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

International Tables for Crystallography (2013). Vol. D, ch. 1.3, pp. 72-100
doi: 10.1107/97809553602060000902

Chapter 1.3. Elastic properties

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:


Breazeale, M. A. (1984). Determination of third-order elastic constants from ultrasonic harmonic generation. Physical Acoustics, Vol. 17, edited by R. N. Thurston, pp. 2–75. New York: Academic Press.
Brillouin, L. (1932). Propagation des ondes électromagnétiques dans les milieux matériels. Congrès International d'Électricité, Vol. 2, Section 1, pp. 739–788. Paris: Gauthier-Villars.
Brugger, K. (1964). Thermodynamic definition of higher-order elastic coefficients. Phys. Rev. 133, 1611–1612.
De Launay, J. (1956). The theory of specific heats and lattice vibrations. Solid State Physics, Vol. 2, edited by F. Seitz & D. Turnbull, pp. 219–303. New York: Academic Press.
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. (1982). Third- and fourth-order elastic constants of fluoperovskites CsCdF3, TlCdF3, RbCdF3, RbCaF3. J. Phys. Chem. Solids, 43, 673–682.
Fischer, M., Zarembowitch, A. & Breazeale, M. A. (1980). Nonlinear elastic behavior and instabilities in crystals. Ultrasonics Symposium Proc. IEEE, pp. 999–1002.
Fumi, F. G. (1951). Third-order elastic coefficients of crystals. Phys. Rev. 83, 1274–1275.
Fumi, F. G. (1952). Third-order elastic coefficients in trigonal and hexagonal crystals. Phys. Rev. 86, 561.
Fumi, F. G. (1987). Tables for the third-order elastic tensors in crystals. Acta Cryst. A43, 587–588.
Green, R. E. (1973). Treatise on Material Science and Technology, Vol. 3. New York: Academic Press.
McSkimmin, H. J. (1964). Ultrasonic methods for measuring the mechanical properties of solids and fluids. Physical Acoustics, Vol. IA, edited by W. P. Mason, pp. 271–334. New York: Academic Press.
Melcher, R. L. & Scott, B. A. (1972). Soft acoustic modes at the co­operative Jahn–Teller transition in DyVO4. Phys. Rev. Lett. 28, 607–610.
Michard, F., Zarembowitch, A., Vacher, R. & Boyer, L. (1971). Premier son et son zéro dans les nitrates de strontium, barium et plomb. Phonons, edited by M. A. Nusimovici, pp. 321–325. Paris: Flammarion.
Murnaghan, F. D. (1951). Finite Deformation in an Elastic Solid. New York: John Wiley and Sons.
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.
Salje, E. K. H. (1990). Phase Transitions in Ferroelastic and Co-elastic Crystals. Cambridge University Press.
Thurston, R. N. (1964). Wave propagation in fluids and normal solids. Physical Acoustics, Vol. 1A, edited by W. P. Mason, pp. 1–109. New York: Academic Press.
Truesdell, C. & Toupin, R. (1960). The classical field theories. Handbuch der Physik, Vol. III/1, edited by S. Flügge. Berlin, Göttingen, Heidelberg: Springer-Verlag.
Voigt, W. (1910). Lehrbuch der Kristallphysik. 2nd ed. (1929). Leipzig: Teubner. Photoreproduction (1966). New York: Johnson Reprint Corp.
Wallace, D. C. (1970). Thermoelastic theory of stressed crystals and higher-order elastic constants. Solid State Physics, Vol. 25. New York: Academic Press.
Wallace, D. C. (1972). Thermodynamics of Crystals. New York: John Wiley and Sons.
Zarembowitch, A. (1965). Etude théorique et détermination optique des constantes élastiques de monocristaux. Bull. Soc. Fr. Minéral. Cristallogr. 28, 17–49.