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

In this study, we have investigated the statistical mechanical properties of the Varshni potential model for some diatomic molecular hydrides via the Euler–Maclaurin formula. This was done using the approximate analytical energy eigenvalues, which were obtained by solving the radial Schrödinger equation with the Greene–Aldrich approximation and suitable coordinate transformation schemes. The effect of high temperatures and upper bound vibration quantum number on the vibrational partition function and other thermodynamic functions of the selected diatomic molecular hydrides were studied. We also show that these effects on the thermodynamic functions considered were similar for all the diatomic molecular hydrides selected.

Download Full-text

Calculation energy levels and charge radius for odd 41–49Ca isotopes by using the analytical approach

Modern Physics Letters A ◽

10.1142/s0217732319500731 ◽

2019 ◽

Vol 34 (09) ◽

pp. 1950073 ◽

Cited By ~ 1

Author(s):

Mohsen Mousavi ◽

Mohammad Reza Shojaei

Keyword(s):

Experimental Data ◽

Wave Function ◽

Analytical Approach ◽

Potential Model ◽

Energy Levels ◽

Microscopic Investigation ◽

Static Properties ◽

Eckart Potential ◽

Uvarov Method ◽

Good Agreement

In this study, some static properties of odd isotopes of Ca were investigated in the non-relativistic shell model. We also suggested a novel suitable local potential model for the non-microscopic investigation of the mentioned nuclei. We modeled the odd [Formula: see text]Ca nuclei as doubly-magic isotopes with further nucleons (valence) in the [Formula: see text] and [Formula: see text] levels. Then, the modified Eckart potential plus Hulthen potential were chosen for the interaction between core and nucleons. We also used the parametric Nikiforov–Uvarov method to calculate the values of energy, the radius of charge and wave function. The obtained results showed a good agreement with the experimental data, so this model is applicable for the similar nuclei.

Download Full-text

Thermal properties of three dimensional Morse potential for some diatomic molecules via Euler-Maclaurin approximation

Revista Mexicana de Física ◽

10.31349/revmexfis.66.110 ◽

2019 ◽

Vol 66 (1) ◽

pp. 110 ◽

Cited By ~ 3

Author(s):

K. Chabi ◽

A. Boumali

Keyword(s):

Thermal Properties ◽

Partition Function ◽

Potential Energy ◽

Morse Potential ◽

Diatomic Molecules ◽

Three Dimensional ◽

Thermodynamic Quantities ◽

Maclaurin Formula

The purpose of this study is to develop a method of calculating the vibration partition function of diatomic molecules for the Morse potential energy. After a brief introduction about the eigensolutions obtained for the problem in question, Via the Euler-Maclaurin formula, we have determined the thermal properties for four diatomics such as \text{H}_{2}, HCl, LiH, and CO. Different situation has been exposed and explained by the appropriate curves of the thermal properties for these diatomics molecules in consideration. In addition, we have shown that our method exposed to calculate these thermal properties can be used to determine these thermodynamic quantities.

Download Full-text