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A study of thermodynamic properties of quadratic exponential-type potential in D-dimensions
Author(s) -
U. S. Okorie
Publication year - 2018
Publication title -
revista mexicana de física
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.181
H-Index - 25
eISSN - 2683-2224
pISSN - 0035-001X
DOI - 10.31349/revmexfis.64.608
Subject(s) - vibrational partition function , exponential function , partition function (quantum field theory) , physics , factorization , eigenvalues and eigenvectors , quadratic equation , thermodynamic potential , hypergeometric function , wave function , quantum mechanics , thermodynamics , molecular vibration , molecule , mathematics , mathematical analysis , hot band , geometry , algorithm
We solved the Schrodinger equation with Quadratic Exponential-Type Potential (QEP) model in D-dimensions using the Modified factorization method. The energy eigenvalues and total wavefunctions were obtained in a Gauss hypergeometric form. The thermodynamic properties including vibrational partition function, vibrational mean energy, vibrational mean free energy and vibrational entropy have been calculated for the electronic state of (X1 Σ +g) Rubidium (Rb2) dimer. The QEP discussed can be applied extensively in Physics and Chemistry, especially in molecular dynamics.

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