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Prog. Theor. Phys. Vol. 24 No. 3 (1960) pp. 648-660
Vibraptional Thermodynamic Properties of Lattices with Defects. II
— Two- and Three-Dimensional Simple Cubic Lattices
—
J. Mahanty and
A. A. Maradudin* and
G. H. Weiss*
Department of Physics, University of Maryland, College Park, Maryland, U.S.A.
*Institute forl Fluid Dynamics and Applied Mathematics, University of Maryland, College Park, Maryland, U.S.A.
(Received May 9, 1960)
Abstract:
This work is a continuation and application to two- and three-dimensional crystals of the methods of reference 1) for the evaluation of the changes in thermodynamic properties of a lattice due to the presence of defects of various kinds. In particular we consider the effects of an isotope defect and a pair of isotope defects on the zero point energy and free energy of two- and three-dimensional cubic lattices. In addition we evaluate the free energy and self entropy of a vacancy in a three-dimensional cubic lattice.
URL :
http://ptp.ipap.jp/link?PTP/24/648/
DOI : 10.1143/PTP.24.648
References:
- J. Mahanty, A. Maradudin, G. Weiss, Prog. Theor. Phys. 20 (1958), 369[PTP].
- M. Lighthill, Fourier Analysis and Generalized Functions (Cambridge University Press, 1958).
-
E. Montroll, R. B. Potts, Phys. Rev. 100 (1955), 525[APS];
ibid. 102 (1956), 72[APS].
-
H. Huntington, G. Shirn, E. Wajda, Phys. Rev. 99 (1955), 1085[APS].
-
K. Stripp, J. Kirkwood, J. Chem. Phys. 22 (1954), 1579[CrossRef].
- A. Maradudin, E. Montroll, G. Weiss, R. Herman, H. Milnes, to appear in the Memoirs of the R. Belg. Acad. Sci.
- G. Doetsch, Theorie und Anwendung der Laplace Transformation (Dover press, New York, 1945).
