Thermal properties of anharmonic Eckart potential model using Euler-MacLaurin formula

被引：18
|
作者：
Osobonye, G. T. [1 ]
Adekanmbi, M. [2 ]
Ikot, A. N. [3 ]
Okorie, U. S. [4 ,5 ]
Rampho, G. J. [3 ]
机构：
[1] Fed Coll Educ Tech, Dept Phys, Omoku, Rivers State, Nigeria
[2] Ignatius Ajuru Univ Educ, Dept Phys, Rumuolumeni, Rivers State, Nigeria
[3] Univ South Africa, Dept Phy, ZA-1710 Johannesburg, South Africa
[4] Univ Port Harcourt, Theoret Phys Grp, Dept Phys, PMB 5323, Choba, Nigeria
[5] Akwa Ibom State Univ, Dept Phys, PMB 1167, Uyo, Nigeria
来源：
PRAMANA-JOURNAL OF PHYSICS | 2021年 / 95卷 / 03期
关键词：
Anharmonic Eckart potential; asymptotic iteration method; Euler MacLaurin formula; Schrodinger equation; thermal properties; 03; 65; Ca; Ge; 05; 70; Ce; Ln; BOUND-STATE SOLUTIONS; THERMODYNAMIC PROPERTIES; SCHRODINGER-EQUATION; DIATOMIC-MOLECULES; APPROXIMATION; PREDICTION; MECHANICS; PLUS; SPIN;
D O I：
10.1007/s12043-021-02122-z
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By employing the asymptotic iteration method (AIM), we solved the three-dimensional time-independent Schrodinger equation with the anharmonic Eckart potential model. The expression for the eigensolution of the anharmonic Eckart potential was obtained. With the help of the ro-vibrational energy spectra obtained, we derived the expressions for the ro-vibrational partition function and other thermodynamic functions, via the Euler MacLaurin formula. Effects of temperature and upper bound vibration quantum number on the thermodynamic functions of anharmonic Eckart potential were discussed for some diatomic molecular systems. It has been established that unique critical temperatures of ro-vibrational entropy and ro-vibrational specific heat capacity exist for the selected diatomic molecules.
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