Define expressions to calculate cumulants and thermodynamic parameters of cubic crystals structure by the effective anharmonic correlated Einstein model in XAFS spectra.

Authors

  • Đuc Nguyen Ba

DOI:

https://doi.org/10.51453/2354-1431/2016/127

Keywords:

anharmonic, XAFS, cumulants, thermodynamic, parameters.

Abstract

By using potential effective interaction in the anharmonic correlated Einstein model on the basis of quantum statistical theory with phonon interaction procedure, the expressions describing asymmetric component (cumulants) and thermodynamic parameters including the anharmonic effects contributions and by new structural parameters of cubic crystals has been formulated. This new parameters describing the distribution of atoms. The expansion of cumulants and thermodynamic parameters through new structural parameters has been performed.

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Author Biography

Đuc Nguyen Ba

By using potential effective interaction in the anharmonic correlated Einstein model on the basis of quantum statistical theory with phonon interaction procedure, the expressions describing asymmetric component (cumulants) and thermodynamic parameters including the anharmonic effects contributions and by new structural parameters of cubic crystals has been formulated. This new parameters describing the distribution of atoms. The expansion of cumulants and thermodynamic parameters through new structural parameters has been performed.

References

Nguyễn Quang Báu, Bùi Bằng Đoan, Nguyễn Văn Hùng (1999) Vật Lý Thống Kê, Nhà xuất bản Đại học Quốc gia, Hà nội;

Beni, G. and Platzman, P.M. (1976) “Temprature and polarization dependence of extended x-ray absorption fine-structure spectra” Phys. Rev. B (14) pp. 1514;

Born, M., and Huang, K. (1954) Dynamical Theory of Crystal Lattices Clarendon Press., Oxford;

Crozier, E. D., Rehr, J. J., and Ingalls, R. (1998) X-ray absorption edited by D. C. Koningsberger and R. Prins, Wiley New York;

Feynman, R. P. (1972) Statistics Mechanics, Benjamin, Reading;

N. V. Hung and N. B. Duc (2000) "Anharmonic-Correlated Einstein model Thermal expansion and XAFS Cumulants of Cubic Crystals: Comparison with Experiment and other Theories", J. Communications in Physics, vol. 10, No. 1, pp. 15-21;

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

Hung, N. V., Vu Kim Thai, and Nguyen Ba Duc, (2000), “Calculation of thermodynamic parameters of bcc crystals in XAFS theory” J. Science of VNU Hanoi (XVI) pp. 11-17;

Nguyen Ba Duc (2015), “Using the anharmonic correlated Einstein model for calculation the thermodynamic parameters and cumulants of dopant face cubic center crystals”, American Association for Science and Technology (AASCIT) - Journal of Physics (USA);

Nguyen Ba Duc, Nguyen Thi Lan Anh (2015), “Effective Anharmonic Einstein Potential for the Thermodynamic Parameters, Three First Cumulants and Anharmonic Perturbation Factor of Iron Doped Molybdenium Crystals”, American Association for Science and Technology (AASCIT) - Journal of Physics (USA).

Published

2021-04-06

How to Cite

Nguyễn Bá, Đức. (2021). Define expressions to calculate cumulants and thermodynamic parameters of cubic crystals structure by the effective anharmonic correlated Einstein model in XAFS spectra. SCIENTIFIC JOURNAL OF TAN TRAO UNIVERSITY, 2(3), 91–96. https://doi.org/10.51453/2354-1431/2016/127

Issue

Section

Humanities and Social Sciences