Thermodynamic parameters depend on temperature with the influence of doping ratio of the crystal structure metals in extended X-Ray absorption fine structure

Authors

  • Ba Duc Nguyen Tan Trao University
  • Vũ Quang Thọ Tan Trao University
  • Phi Hiep Trinh Tan Trao University
  • Quynh Lam Nguyen Thi Đại học Tân Trào

DOI:

https://doi.org/10.51453/2354-1431/2018/238

Keywords:

Brackpoint; cumulants; doping ratio; parameter; thermodynamic.

Abstract

The effects of the doping ratio and temperature on the cumulants and
thermodynamic parameters of crystal structure metals and their alloys was
investigated using the anharmonic correlated Einstein model, in extended X-ray absorption fine structure (EXAFS) spectra. We derived analytical expressions for the EXAFS cumulants, correlated Einstein frequency, Einstein temperature, and effective spring constant. We have considered parameters of the effective Morse
potential and the Debye-Waller factor depend on temperature and the effects of the doping ratio of face-centered-cubic (fcc) crystals of copper (Cu-Cu), silver (Ag-Ag), and hexagonal-close-packed (hcp) crystal of zinc (Zn-Zn), and their alloys of Cu-Ag and Cu-Zn. The derived anharmonic effective potential includes the contributions of all the nearest neighbors of the absorbing and scattering atoms. This accounts for three-dimensional interactions and the parameters of the
Morse potential, to describe single-pair atomic interactions. The numerical
results of the EXAFS cumulants, thermodynamic parameters, and anharmonic effective potential agree reasonably with experiments and other theories.

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References

1. A. I. Frenkel and J. J. Rehr, Phys. Rev. B 48, 585 (1993).

2. B. S. Clausen, L. Grabæk, H. Topsoe, L. B. Hansen, P. Stoltze, J. K. Norskǿv, and O. H. Nielsen, J. Catal. 141, 368 (1993).

3. Duc B. N., Hung N.V., Khoa H.D., Vuong D.Q, and Tien S.T., Advances in Materials Sciences and Engineering, Vol 2018, Article ID 3263170, 9 pages doi.org/10.1155/2018/3263170 (2018).

4. H.Ö. Pamuk and T. Halicioğlu, Phys. Stat. Sol. A 37, 695 (1976).

5. Hung N. V., Trung N. B., and Duc B. N, J. Materials Sciences and Applications 1(3) (2015) 91.

6. J. C. Kraut and W. B. Stern, J. Gold Bulletin 33(2) (2000) 52.

7. J. M. Tranquada and R. Ingalls, Phys. Rev. B 28, 3520 (1997).

8. N. V. Hung, N. B. Duc, and R. R. Frahm, J. Phys.Soc. Jpn. 72(5), 1254 (2002).

9. N. V. Hung, T. S. Tien, N. B. Duc, and D. Q. Vuong,

Modern Physics Letter B 28 (21), 1450174 (2014).

10. N. V. Hung and J. J. Rehr, Phys. Rev. B 56 (1997) 43.

11. N. V. Hung, C. S. Thang, N. B. Duc, D. Q. Vuong and T. S. Tien, Eur. Phys. J. B 90, 256 (2017).

12. N. V. Hung, N. B. Duc, Proceedings of the Third International Workshop on Material Science (IWOM’S99, 1999).

13. N. V. Hung and N. B. Duc, Commun. in Phys., 10, (2000) 15-21.

14. N. B. Duc, V. Q. Tho, N. V. Hung, D. Q. Khoa, and H. K. Hieu, Vacuum 145, 272 (2017).

15. N. B. Duc, H. K. Hieu, N. T. Binh, and K. C. Nguyen, X-Ray absorption fine structure: basic and applications, Sciences and Technics Publishing House, Hanoi, 2018.

16. A. Nafi, M. Cheikh, and O. Mercier, "Identification of mechanical properties of CuSil-steel brazed structures joints: a numerical approach," Journal of Adhesion Science and Technology 27 (24), 2705 (2013), doi:10.1080/01694243.2013.805640.

17. M. A. Laughton and D. F. Warne, Electrical Engineers Reference Book (Elsevier, ISBN: 978-0-7506-4637-6, 2003), pp.10.

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Published

2021-04-06

How to Cite

Nguyen, B. D., Vu, Q. T., Trinh, P. H., & Nguyen Thi, Q. L. (2021). Thermodynamic parameters depend on temperature with the influence of doping ratio of the crystal structure metals in extended X-Ray absorption fine structure. SCIENTIFIC JOURNAL OF TAN TRAO UNIVERSITY, 4(10), 5–10. https://doi.org/10.51453/2354-1431/2018/238

Issue

Vol. 4 No. 10 (2018): No. 10, DECEMBER-2018

Section

Natural Science and Technology

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