References
- A.G. Every and A.K. McCurdy, Low Frequency Properties of Dielectric Crystals Subvolume A: Second and Higher Order Elastic Constants, Springer-Verlag, Berlin, 1992.
- W. Mayer and E. Hiedemann, Acta Cryst. 14 (1961) p.323.
- J. Wachtmann, W. Tefft, D. Lam and R. Stinchfield, J. Res. NBS A 64 (1960) p.213.
- B. Bernstein, J. Appl. Phys. 34 (1963) p.169.
- W. Tefft, J. Res NBS A 70 (1966) p.277.
- J. Gieske and G. Barsch, Phys. Stat. Solidi 29 (1968) p.121.
- T. Goto, O.L. Anderson, I. Ohno and S. Yamamoto, J. Geophys. Res. 94 (1989) p.7588.
- J.R. Gladden, J.H. So, J.D. Maynard, P.W. Saxe and Y.L. Page, Appl. Phys. Lett. 85 (2004) p.392.
- D.B. Hovis, A. Reddy and A.H. Heuer, Appl. Phys. Lett. 88 (2006) p.131910.
- E.H. Kisi, C.J. Howard and J. Zhang, J. Appl. Cryst. 44 (2011) p.216.
- S. Shang, Y. Wang and Z.K. Liu, Appl. Phys. Lett. 90 (2007) p.101909.
- S.L. Shang, H. Zhang, Y. Wang and Z.K. Liu, J. Phys.: Condens. Matter 22 (2010) p.375403.
- E.N. Maslen, V.A. Streltsov, N.R. Streltsova, N. Ishizawa and Y. Satow, Acta Cryst. B 49 (1993) p.973.
- W. Pearson, Crystal Chemistry and Physics of Metals and alloys, Wiley-Interscience, New York, 1972, p.450.
- T. Inui, Y. Tanabe and Y. Onodera, Group Theory and its Applications in Physics, Springer, Dordrecht, 2005.
- J.F. Nye, Physical Properties of Crystals, Oxford Science Publications, Oxford, 1985, p.141.
- J.H. Demarest, J. Acous. Soc. Am. 49 (1971) p.768.
- I. Ohno, J. Phys. Earth 24 (1976) p.355.
- A. Migliori and J. Sarro, Resonant Ultrasound Spectroscopy, Wiley Interscience, New York, 1997.
- R.G. Leisure and F.A. Willis, J. Phys.: Condens. Matter 9 (1997) p.6001.
- O.L. Anderson, J. Acoust. Soc. Am. 91 (1992) p.2245.
- J. Maynard, Phys. Today 49 (1996) p.26.
- H. Ogi, K. Sato, T. Asada and M. Hirao, J. Acoust. Soc. Am. 112 (2002) p.2553.
- R. Tarumi, K. Nakamura, H. Ogi and M. Hirao, J. Appl. Phys. 102 (2007) p.113508, 375403.
- R. Tarumi, H. Nitta, H. Ogi and M. Hirao, Philos. Mag. 91 (2011) p.2140.
- H. Ledbetter, in Materials at Low Temperatures, ASM, Metals Park, 1983, p.1, Table 1.13. The table gives elastic-constant/property relationship-references, but as described above Debye temperature follows easily from elastic constants.
- For example, M. Blackman, in Handbuch der Physik, Band 7, Teil 1, Springer, Berlin, 1955, Eq. (9.11).
- F. Herbstein, Adv. Phys. 10 (1981) p.313.
- O. Anderson, in Physical Acoustics, Vol. III, Part B, Academic, New York, 1965, p.43.
- C. Kittel, Introduction to Solid State Physics, Wiley, New York, 1996, p.606.
- H. Ledbetter, in Proceedings ATEM’11, Kobe, Japan, September 2011, forthcoming.
- G. Leibfried and W. Ludwig, Solid State Phys. 12 (1961) p.275.
- M. Born and K. Huang, Dynamical Theory of Crystal Lattice, Clarendon Press, Oxford, 2002.
- Y.P. Varshni, Phys. Rev. B 2 (1970) p.3952.
- L.A. Girifalco, Statistical Mechanics of Solids, Oxford University Press, Oxford, 2000, p.111–116.
- E. Grüneisen, Ann. Phys. 39 (1912) p.259.
- As an example, Ledbetter and colleagues [38] considered estimating the Grüneisen parameter of α-Pu from several viewpoints: (1) bulk-modulus pressure derivative, (2) Grüneisen’s rule, (3) Debye-Waller factor, (4) bulk-modulus temperature derivative, (5) zero-point bulk modulus, (6) thermal expansivity, (7) Einstein-oscillator model, (8) Debye oscillator model and (9) an equation derived by Grüneisen involving the familiar m, n attraction and repulsion parameters from a Born-Mie interatomic potential. This list is incomplete; conspicuously absent are the Hugoniot (shock-wave) approach and numerous theoretical models, from simple to ab initio.
- H. Ledbetter, A. Lawson and A. Migliori, J. Phys.: Condens. Matter 22 (2010) p.165401.
- K. Gschneidner, in Solid State Physics, Vol. 16, Academic, New York, 1964, p.412, Table XXIV.
- O. Anderson, Equations of State of Solids for Geophysics and Ceramics Science, Oxford U. P., New York, 1955, p.362–370.
- O. Anderson and T. Goto, Phys. Earth Planet. Interiors 55 (1989) p.241.
- P.B. Miller and J.D. Axe, Phys. Rev. 163 (1967) p.924.