DETERMINE MORSE POTENTIAL, THERMAL EXPANSION COEFFICIENT AND DESCRIBE ASYMMETRICAL COMPONENTS THROUGH DEBYE -WALLER FACTOR BY ANHARMONIC CORRELATED EINSTEIN MODEL

Authors

  • Ba Duc Nguyen

DOI:

https://doi.org/10.51453/2354-1431/2016/94

Keywords:

Anharmonic; correlate; thermodynamic; ansymmetry; cumulant.

Abstract

Effective potential in anharmonic correlated Einstein model was determined on to base analytics calculation Morse potential between absorber and backscatter atoms with
nearest neighbor atoms, this work was represented the expression of thermal expansion coefficient at high temperatures and expressions was described ansymmetry components
(cumulants) and thermodynamic quantity through Debye-Waller factor. Expressions of correlative function between the cumulants and between cumulants and thermal expansion
coefficient for cubic structural crystals also was determined. The expressions obtained include classical theory at high temperature and quantum effects at low temperature.

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References

1. Nguyen Ba Duc (2015) Anharmonic correlated Einstein model in XAFS theory and application, LAMBERT Academic Publishing, Germany;

2. Nguyen Ba Duc (2015) Statistical physics, Publisher Thai Nguyen University;

3. Nguyen Van Hung (1999) Solid state theory, Publisher National University, Ha Noi;

4. Girifalco, L. A., Weizer, V. G. (1959), “Application of the Morse potential Function to cubic Metals”, Phys. Rev. (114), pp. 687.

5. Nguyen Ba Duc, (2014), “By using the anharmonic correlated Einstein model to define the expressions of cumulants and thermodynamic parameters in the cubic crystals with new structure factors”, Journal of Physics and Astronomy Research (AUS). (1), pp.02-06.

6. Hung, N. V. and Duc, N. B., (2000), “Anharmonic-Correlated Einstein model Thermal Expansion and XAFS Cumulants of Cubic Crystals: Comparison with Experiment and other Theories”, J. Commun. in Phys., (10), pp. 15-21.

7. Hung N. V. and N. B. Duc, (1999), “Study of Thermodynamic Properties of Cubic Systems in XAFS”, Proceedings of the Third International Workshop on Material Science (IWOM' 99), Hanoi. pp. 915, 918.

8. Hung, N. V., Duc, N. B., Frahm, R. R., (2002), “A New Anharmonic Factor and EXAFS including anharmonic contributions”, accepted for publications in J. Phys. Soc., Japan, Vol. 72, No. 4.

9. Hung, N. V. and Rehr, J. J., (1997) “Anharmonic correlated Einstein-model Debye-Waller factors” Phys. Rev.B (56), pp. 43.

10. Hung, N. V. and Duc, N. B., and Dinh Quoc Vuong, (2001), “Theory of thermal expansion and cumulants in XAFS technique”, J. Commun. in Phys (11) pp. 1-9.

Published

2021-04-07

How to Cite

Nguyễn, B. Đức. (2021). DETERMINE MORSE POTENTIAL, THERMAL EXPANSION COEFFICIENT AND DESCRIBE ASYMMETRICAL COMPONENTS THROUGH DEBYE -WALLER FACTOR BY ANHARMONIC CORRELATED EINSTEIN MODEL . SCIENTIFIC JOURNAL OF TAN TRAO UNIVERSITY, 2(2), 14–21. https://doi.org/10.51453/2354-1431/2016/94

Issue

Section

Natural Science and Technology