Abstract
Entropy changes related to point defects within the high-temperature limit have been studied, on the basis of exact frequency spectra obtained by computer calculations, for linear and square lattices in the light of lattice vibration in the harmonic nearest-neighbourforce approximation.
The binding entropy of a vacancy-solute pair is independent of the solute mass but depends on the force-constant around the defect, whereas the entropy change due to substitution by a solute atom is dependent on the solute mass as well as the force constant. For square lattices, the displacement amplitude of atoms has been shown in connection with the localized or resonance mode, which may have implications for solute diffusion.
Similar content being viewed by others
References
See, for example, N. H. March and J. S. Rousseau, Crystal Lattice Defects 2 (1971) 1.
F. M. D'heurle, R. Feder, and A. S. Nowick, J. Phys. Soc. Japan 18 suppl. II (1963) 184; D. R. Beaman, R. W. Balluffi, and R. O. Simmons, Phys. Rev. 134 (1964) A532; 137 (1965) A197.
J. Takamura, H. Kosuge, and H. H. Shimizu, Phys. Letters 16 (1965) 223.
A. Seeger, “Lattice Defects and Their Interactions”, Ed. R. R. Hasiguti (Gordon and Breach, New York, 1967) p. 181.
G. H. Vineyard and G. J. Dienes, Phys. Rev. 93 (1954) 265.
P. Dean, Proc. Phys. Soc. 73 (1959) 413; Proc. Roy. Soc. A254 (1960) 507; A260 (1961) 263.
H. B. Rosenstock and R. E. Mcgill, J. Math. Phys. 3 (1962) 200.
J. L. Martin, Proc. Roy. Soc. A260 (1961) 139.
D. N. Payton and W. M. Visscher, Phys. Rev. 154 (1969) 802; 156 (1967) 1032; 175 (1968) 1201.
W. S. Burnside and A. W. Panton, “Theory of Equations” (Longmans, Green and Co, London, 1918) p. 198.
See, for example, A. A. Maradudin, E. W. Montroll, and G. H. Weiss, “Theories of Lattice Dynamics in the Harmonic Approximation”, Solid State Physics, Suppl. 3, Eds. F. Seitz and D. Turnbull (Academic Press, New York, 1963).
See, for example, A. A. Maradudin, Solid State Physics, Eds. F. Seitz and D. Turnbull (Academic Press, New York, 1966), vol. 18, p. 312.
P. Dean and J. L. Martin, Proc. Roy. Soc. A259 (1960) 409.
P. Dean and M. D. Bacon, ibid A283 (1965) 64.
P. L. Land and B. Goodman, J. Phys. Chem. Solids 28 (1967) 113.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Nakamura, F., Takamura, J. & Chikasaki, M. The entropy of binding between vacancies and solute atoms in harmonic lattices-computer experiments in linear and square lattices. J Mater Sci 8, 385–396 (1973). https://doi.org/10.1007/BF00550160
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00550160