 1  Author
 S. Sh, Soulayman, C. Ch, Ch Marti, Ch, Guilpin  Requires cookie*   Title
 Anharmonic SelfConsistent Theory of Crystals. I. A 1 d Quartic Crystal Model    Abstract
 We apply the Unsymmetrized SelfConsistentFieldMethod (USCFM) to a linear infinite chain of identical atoms with a quartic pair interaction potential. We show that an exact solution of the USCFM can be found in terms of a single auxiliary function which is studied here in details. We use it to calculate the partition function, the energy and the free energy, the moments of the position, the corrections due to quantum effects and higher terms of the potential, the specific heat and the thermal expansion. An anharmonic approximative approach, based on the selfconsistent potential of the used method, is developed also. We apply these two approaches to the study of the thermoelastic properties of a one dimensional system (krypton). It is demonstrated that the approximate approach is very effective when dealing with pairwise potentials of positive second derivative. The LennardJones potential is used in our calculations.   
Reference
 Z. Naturforsch. 48a, 1182—1192 (1993); received December 18 1992   
Published
 1993   
Keywords
 Linear chain, Anharmonicity, Thermodynamic properties, Inert gases   
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