| | 1 | Author
| S. Sh, Soulayman, C. Ch, Ch Marti, Ch, Guilpin | Requires 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 | | | |
Similar Items
| Find | | | DEBUG INFO
| | | | | TEI-XML for
| default:Reihe_A/48/ZNA-1993-48a-1182.pdf | | | | Identifier
| ZNA-1993-48a-1182 | | | | Volume
| 48 | |
| 2 | Author
| S. Sh, Soulayman, C. M. Ch, Ch Arti, Ch, Guilpin | Requires cookie* | | | Title
| Anharmonic Self-Consistent Theory of Crystals. II. The 2d and 3d Quartic Crystal Models | | | | Abstract
| In this paper we apply the method developed in part I for describing the crystalline state of two and three dimensional inert gases. For strong anharm onicity of fourth order, the equations of state of these gases are obtained. This way we calculate the thermoelastic properties of two and three dimensional argon, krypton and xenon using the Lennard-Jones potential. The corrections to the Helmholtz free energy and thermodynamic properties due to quantum effects are considered. The results are compared with the available experimental data. | | | |
Reference
| Z. Naturforsch. 49a, 663—670 (1994); received December 18 1993 | | | |
Published
| 1994 | | | |
Keywords
| Inert gases, Anharmonicity, Thermodynamic properties, Two-and three-dimensional crystals | | | |
Similar Items
| Find | | | DEBUG INFO
| | | | | TEI-XML for
| default:Reihe_A/49/ZNA-1994-49a-0663.pdf | | | | Identifier
| ZNA-1994-49a-0663 | | | | Volume
| 49 | |
|
