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#### Theoretical study of third virial coefficient with Kihara potential

(Canadian Science Publishing, Nrc Research Press, 2018)

In this paper, a new formula has been presented for accurate calculation of the third virial coefficient with Kihara potential. The obtained formula allows us to the determination of thermodynamic properties of imperfect ...

#### Construction of One-Range Addition Theorems for Noninteger Slater Functions Using Self-Friction Exponential Type Orbitals and Polynomials

(Maik Nauka/Interperiodica/Springer, 2020)

The addition theorems of Slater type orbitals (STOs) presented in literature are generally complicated to theoretically examine the electronic structure of atoms and molecules. The computational deficiencies in use of these ...

#### Unified Analytical Formulae of Second Virial Coefficient with Kihara Potential and its Application to Real Gases

(Polish Acad Sciences Inst Physics, 2020)

We propose a general evaluation method to calculate the second virial coefficient with Kihara potential (spherical core). The suggested approach is based on exponential function series expansion formula and gamma functions, ...

#### A general analytical method for evaluation of the thermodynamic properties of matters using virial coefficients with Morse potential at high temperature

(Wiley-V C H Verlag Gmbh, 2019)

In this paper, we established an analytical formula for the second virial coefficient (SVC) with Morse potential without using any numerical methods, and the obtained formula is applied to the calculation of the speed of ...

#### Accurate evaluation of the internal energy, free energy, entropy and enthalpy of non-polar molecules by using virial coefficients

(Elsevier Science Bv, 2017)

In this work, we suggest an alternative method for evaluating the internal energy, free energy, entropy and enthalpy using the second virial coefficient over the Lennard-Jones (12-6) potential. The proposed formulae ...

#### Analytical evaluation of zero-pressure Joule-Thomson coefficient using second virial coefficient and its application

(Springer, 2017)

In this paper, we present an analytical procedure to evaluate the zero-pressure Joule-Thomson coefficient using the second virial coefficient over the Lennard-Jones (12-6) potential. The analytical expressions are derived ...

#### Unified analytical treatments of the two-parameter Fermi functions using binomial expansion theorem and incomplete gamma functions

(Pergamon-Elsevier Science Ltd, 2016)

This work studies the current status of the theories of kinetic effects and electron transport phenomena in semiconductors and its application to the physics of semiconductors and numerical simulation studies. The studies ...

#### Use of quantum self-friction potentials and forces in standard convention for study of harmonic oscillator

(Indian Assoc Cultivation Science, 2017)

In this paper, the physical nature of quantum usual and self-friction (SF) harmonic oscillators is presented. The procedure for studying these harmonic oscillators is identical; therefore, we can benefit from the theory ...

#### A general formula for calculation of the two-dimensional Franck-Condon factors

(Canadian Science Publishing, Nrc Research Press, 2017)

Knowledge of the Franck-Condon factors (FCFs) and related quantities is essential to understand and to estimate many important aspects of the astrophysical molecules, such as kinetics of the energy transfer, radiative ...