Define expressions to calculate cumulants and thermodynamic parameters of cubic crystals structure by the effective anharmonic correlated Einstein model in XAFS spectra.
DOI:
https://doi.org/10.51453/2354-1431/2016/127Keywords:
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.
Downloads
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).
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
All articles published in SJTTU are licensed under a Creative Commons Attribution-ShareAlike 4.0 International (CC BY-SA) license. This means anyone is free to copy, transform, or redistribute articles for any lawful purpose in any medium, provided they give appropriate attribution to the original author(s) and SJTTU, link to the license, indicate if changes were made, and redistribute any derivative work under the same license.
Copyright on articles is retained by the respective author(s), without restrictions. A non-exclusive license is granted to SJTTU to publish the article and identify itself as its original publisher, along with the commercial right to include the article in a hardcopy issue for sale to libraries and individuals.
Although the conditions of the CC BY-SA license don't apply to authors (as the copyright holder of your article, you have no restrictions on your rights), by submitting to SJTTU, authors recognize the rights of readers, and must grant any third party the right to use their article to the extent provided by the license.