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

International Tables for Crystallography (2006). Vol. D, ch. 1.3, pp. 72-98

Chapter 1.3. Elastic properties

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:


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