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'Inert gases' in keywords Facet   Publication Year 1993  [X]
Facet   section ZfN Section A:Volume 048  [X]
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1Author    S. Sh, Soulayman, C. Ch, Ch Marti, Ch, GuilpinRequires cookie*
 Title    Anharmonic Self-Consistent Theory of Crystals. I. A 1 d Quartic Crystal Model  
 Abstract    We apply the Unsymmetrized Self-Consistent-Field-Method (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 self-consistent potential of the used method, is developed also. We apply these two approaches to the study of the thermo-elastic 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 Lennard-Jones 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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 TEI-XML for    default:Reihe_A/48/ZNA-1993-48a-1182.pdf 
 Identifier    ZNA-1993-48a-1182 
 Volume    48