Statistical Mechanics of Defect-Containing Solids. I. General Formalism
- 1 April 1964
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 40 (7), 1860-1870
- https://doi.org/10.1063/1.1725417
Abstract
A formalism is set up for treating the contributions of point defects to the thermodynamic functions of crystalline solids by means of a cluster expansion of the partition function. Similar expansions for the defect distribution functions and potentials of average force are derived. The assumptions involved and the necessary differences between the formalism and the McMillan—Mayer theory of solutions are discussed. Problems arising in the explicit evaluation of the coefficients of the virial expansions are discussed and possible applications of the formalism suggested.Keywords
This publication has 21 references indexed in Scilit:
- Statistical Mechanical Theory of a Random Ferromagnetic SystemPhysical Review B, 1959
- Theory of Solutions. I1Journal of the American Chemical Society, 1957
- Temperature Variation of the Elastic Constants of AgBrPhysical Review B, 1956
- Makroskopische Ausdehnung und Fehlordnung von SilberbromidThe European Physical Journal A, 1956
- Nuclear Magnetic Resonance Studies of Imperfect Ionic CrystalsPhysical Review B, 1955
- On the Ising problem and Mayer's cluster sumsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1955
- Ionic Conductivity of Impure Polar CrystalsPhysical Review B, 1954
- Contribution to Statistical MechanicsThe Journal of Chemical Physics, 1942
- The statistical mechanics of many component gasesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1942
- ber die W rmebewegung in festen und fl ssigen K rpernThe European Physical Journal A, 1926