Thermodynamic functions for boron nitride with q-deformed exponential-type potential

•Six parameter q deformed exponential type potential was formulated.•The solution of Schrӧdinger equation was obtained with the potential.•The solution has been obtained through the use of SUSYQM.•The thermodynamic properties of the potential was calculated.•The calculated thermodynamic properties w...

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Bibliographic Details
Published in:Results in physics 2020-03, Vol.16, p.102959, Article 102959
Main Authors: Onate, C.A., Onyeaju, M.C., Okorie, U.S., Ikot, A.N.
Format: Article
Language:English
Subjects:
Eigenfunction
Partition function
Supersymmetric quantum mechanics
Thermodynamic properties
Zinc-blende
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Summary:•Six parameter q deformed exponential type potential was formulated.•The solution of Schrӧdinger equation was obtained with the potential.•The solution has been obtained through the use of SUSYQM.•The thermodynamic properties of the potential was calculated.•The calculated thermodynamic properties was applied to Boron nitride. Within the framework of the supersymmetric quantum mechanics, the energy spectrum of the six-parameter exponential-type potential model was obtained. The partition function for this energy has been calculated in a closed and compact form and was used to obtain an expression for the ro-vibrational mean free energy F(T), mean free energy U(T), entropy S(T), and the specific heat capacity C(T). The thermodynamic functions obtained were then applied to study the behaviour of the zinc-blende BN crystal structure and the results obtained show fair agreement with reported experimental data for the specific heat capacity.
ISSN:2211-3797
2211-3797
DOI:10.1016/j.rinp.2020.102959