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Indian Journal of Physics

, Volume 93, Issue 9, pp 1171–1179 | Cite as

Exact and Poisson summation thermodynamic properties for diatomic molecules with shifted Tietz potential

  • A. N. IkotEmail author
  • W. Azogor
  • U. S. Okorie
  • F. E. Bazuaye
  • M. C. Onjeaju
  • C. A. Onate
  • E. O. Chukwuocha
Original Paper

Abstract

We obtained in detail the energy spectra of the shifted Tietz potential using factorization method within the framework of non-relativistic quantum mechanics. With this energy, the thermodynamic properties of the electronic state of \( 3^{3}\Sigma _{g}^{ + } \) of \( {\text{Cs}}_{2} \) diatomic molecules are obtained using exact and Poisson summation formalism for the shifted Tietz potential, with adjustable parameter (optimization) appearing in the shifted Tietz potential function ranging from \( C_{h} \, = \, \pm \,\frac{1}{5},\; \pm \,\frac{1}{8} \) and \( \pm \,\frac{1}{4} \) respectively. Free energy F, internal energy U, entropy S and specific heat C are also calculated. In each case, the exact and Poisson summation states are plotted for the electronic state \( 3^{3}\Sigma _{g}^{ + } \) of \( {\text{Cs}}_{2} \) diatomic molecules with various optimization parameters.

Keywords

Partition function Schrodinger equation Shifted Tietz potential 

PACS Nos.

03.65.Ge 03.65.Pm 03.65.Ca 

Notes

Acknowledgements

We thank the kind reviewers for their useful comments and suggestions which led to the improvement of this paper.

References

  1. [1]
    A N Ikot, B C Lutfuoglu, M I Ngwueke, M E Udoh, S Zare and H Hassanabadi Eur. Phys. J. Plus 131 419 (2016)CrossRefGoogle Scholar
  2. [2]
    A N Ikot, E O Chukwocha, M C Onyeaju, C A Onate, B I Ita and M E Udoh Pramana J. Phys. 90 22 (2018)ADSCrossRefGoogle Scholar
  3. [3]
    S H Dong Factorization Method in Quantum Mechanics (Dordrecht: Springer) (2007)CrossRefzbMATHGoogle Scholar
  4. [4]
    H J Korsch J. Phys. A Math. Gen. 12 1521 (1979)ADSCrossRefGoogle Scholar
  5. [5]
    W G Gibson J. Phys. A Math. Gen. 17 1877 (1984)ADSCrossRefGoogle Scholar
  6. [6]
    P M Morse and H Feshbash Methods of Theoretical Physics (New York: McGraw-Hill) (1953)Google Scholar
  7. [7]
    G Taubmann, W Witschel and L Schoendorff J. Phys. B At. Mol. Opt. 32 2859 (1999)ADSCrossRefGoogle Scholar
  8. [8]
    M L Strekalov Chem. Phys. Lett. 393 192 (2004)ADSCrossRefGoogle Scholar
  9. [9]
    M L Strekalov Chem. Phys. 362 75 (2009)CrossRefGoogle Scholar
  10. [10]
    M R Pacheco, R V Maluf, C A S Almeida and R R Landim EPL 108 10005 (2014)ADSCrossRefGoogle Scholar
  11. [11]
    A Boumali Z. Naturforsch A 70 867 (2015)ADSCrossRefGoogle Scholar
  12. [12]
    S H Dong and M Cruz-Irisson J. Math. Chem. 50 881 (2012)MathSciNetCrossRefGoogle Scholar
  13. [13]
    K J Oyewumi, B J Falaye, C A Onate, O J Oliwadare and W A Yahya Mol. Phys. 112 127 (2014)ADSCrossRefGoogle Scholar
  14. [14]
    B C Lütfüoğlu Commun. Theor. Phys. 69 23 (2018)ADSCrossRefGoogle Scholar
  15. [15]
    S M Ikhdair and B J Falaye Chem. Phys. 421 84 (2013)CrossRefGoogle Scholar
  16. [16]
    M L Strekalov Chem. Phys. Lett. 439 209 (2007)ADSCrossRefGoogle Scholar
  17. [17]
    L D G Young J. Quant. Spectrosc. Radiat. Transf. 11 1265 (1971)ADSCrossRefGoogle Scholar
  18. [18]
    X Q Song, C W Wang and C S Jia Chem. Phys. Lett. 673 50 (2017)ADSCrossRefGoogle Scholar
  19. [19]
    C S Jia, L H Zhang and C W Wang Chem. Phys. Lett. 667 211(2017)Google Scholar
  20. [20]
    C S Jia, C W Wang, L H Zhang, X L Peng, R Zeng and X T You Chem. Phys. Lett. 676 150 (2017)ADSCrossRefGoogle Scholar
  21. [21]
    C S Jia, L H Zhang and J Y Liu Eur. Phys. J. Plus 131 2 (2016)CrossRefGoogle Scholar
  22. [22]
    C A Onate, A N Ikot, M C Onyeaju, E E Ituen and O Ebomwonyi J. Kor. Phys. Soc. 75(5) 531 (2018)CrossRefGoogle Scholar
  23. [23]
    H Yanar, O Aydogdu and M Salti Mol. Phys. 114 3134 (2016)ADSCrossRefGoogle Scholar
  24. [24]
    C I Pekeris Phys. Rev. 43 98 (1934)ADSCrossRefGoogle Scholar
  25. [25]
    J F Wang, X L Peng, L H Zhang, C W Wang and C S Jia Chem. Phys. Lett. 686 131 (2017)ADSCrossRefGoogle Scholar
  26. [26]
    M Toutounji Int. J. Quant. Chem. 111 1885 (2011)CrossRefGoogle Scholar
  27. [27]
    C E Pearson (1983) Handbook of Applied Mathematics (New York: Van Nostrand Reinhold)zbMATHGoogle Scholar
  28. [28]
    X T Hu, J Y Liu and C S Jia Comput. Theor. Chem. 1019 137 (2013)CrossRefGoogle Scholar
  29. [29]
    K M Kuhler, D G Truhler and A D Issacson J. Chem. Phys. 104 4664 (1996)ADSCrossRefGoogle Scholar
  30. [30]
    A D Issacson J. Chem. Phys. 108 9978 (1998)ADSCrossRefGoogle Scholar
  31. [31]
    W S Chung and H Hassanabadi Mod. Phys. Lett. B 32 1850123 (2018)ADSCrossRefGoogle Scholar
  32. [32]
    H Sobhani, W S Chung and H Hassanabadi Eur. Phys. J. C 78 106 (2018)ADSCrossRefGoogle Scholar
  33. [33]
    S Sargolzacipor, H Hassanabadi and W S Chung Phys. A,  https://doi.org/10.1016/j.physa.2018.05.125 Google Scholar
  34. [34]
    S Sargolzacipor, H Hassanabadi and W S Chung Eur. Phys. J. Plus 133 125 (2018)CrossRefGoogle Scholar
  35. [35]
    B C Lütfüoğlu and M Erdoğan Anadolu Univ. J. Sci. Tech. A Appl. Sci. Eng. 17 708 (2016)Google Scholar
  36. [36]
    A Arda, C Tezcan and R Sever Few Body Syst. 57 93 (2016)ADSCrossRefGoogle Scholar
  37. [37]
    B C Lütfüoğlu and M Erdoğan Süleyman Demirel Univ. J. Nat. Appl. Sci. 21 316 (2017)Google Scholar
  38. [38]
    B C Lütfüoğlu Can. J. Phys. 96 843 (2018)ADSCrossRefGoogle Scholar

Copyright information

© Indian Association for the Cultivation of Science 2019

Authors and Affiliations

  • A. N. Ikot
    • 1
    Email author
  • W. Azogor
    • 2
  • U. S. Okorie
    • 3
  • F. E. Bazuaye
    • 4
  • M. C. Onjeaju
    • 1
  • C. A. Onate
    • 5
  • E. O. Chukwuocha
    • 1
  1. 1.Theoretical Physics Group, Department of PhysicsUniversity of Port HarcourtPort HarcourtNigeria
  2. 2.Department of PhysicsUniversity of CalabarCalabarNigeria
  3. 3.Department of PhysicsAkwa Ibom State UniversityMkpat-EninNigeria
  4. 4.Department of Mathematics and StatisticsUniversity of Port HarcourtPort HarcourtNigeria
  5. 5.Department of Physical SciencesLandmark UniversityOmu-AranNigeria

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