arXiv subjects
Publications and source records attributed to Ikhtier Umirzakov.
It is shown that the energy spectrum of the pure vibrational levels of the molecule consisting of two atoms interacting with each other via the modified Rosen-Morse potential, the analytical expressions for the vibrational partition function and enthalpy of the diatomic molecule, obtained in the paper Prediction of enthalpy for nitrogen gas, M. Deng, C.S. Jia, Evr. Phys. J. Plus 133, 258 (2018), are incorrect.
It is shown that: the analytical solution of the stationary Schrodinger equation for diatomic molecules with the shifted Tietz-Wei potential, which was reported in the paper Exact and Poisson summation thermodynamic properties for diatomic molecules with shifted Tietz potential, A N Ikot, W Azogor, U S Okorie, F E Bazuaye, M C Onjeaju, C A Onate and E O Chukwuocha, Indian Journal of Physics, 2019, is incorrect; the analytical expressions for the rotational-vibrational energy spectrum for diatomic molecule obtained from the incorrect analytical solution of the Schrodinger equation is incorrect; and free energy, internal energy, entropy and specific heat of cesium dimer at the electronic state calculated from the incorrect expression for the rotational-vibrational energy spectrum are incorrect.
It is shown that that the exact solution of the Schrodinger equation for the molecule consisting of two atoms interacting via improved Tietz potential, the analytical expressions for the energy of the rotational-vibrational levels, partition function, free energy, mean energy and specific heat, obtained from the solution in the paper Exact analytical calculations of thermodynamic functions of gaseous substances", R. Khordad, A. Avazpour, and A. Ghanbari, Chemical Physics 517 (2019) 30, are incorrect.
It is shown that the isochoric heat capacity of dense gas, fluid and liquid decreases with increasing temperature at arbitrary values of a density for many pair interaction potentials, including bonded potentials; that a decrease of the isochoric heat capacity of the liquid with increasing temperature is related to a decrease of the interaction between the particles with increasing temperature; that a radial distribution function for nonideal dilute gas, which is independent of density, can describe a temperature dependence of the isochoric heat capacity of liquid argon; that a radial distribution function dependent on the density and temperature describes a temperature dependence of the isochoric heat capacity of liquid and dense fluid; that the Carnahan-Starling equation of state for soft spheres gives a good quantitative description of the isochoric heat capacity of argon; that the fluctuations of the kinetic energy increases with temperature faster than that of the potential energy; and finally, that a liquid state can be considered as a state of dense gas. The explicit expressions to define the Frenkel line on the (temperature, density) plane are derived.
It is shown that the results presented in the article 'The influence of the temperature and pressure on a fractal dimension of defects in crystal structures' by V.B. Fedoseev (Butlerov communications. 2010. V23. Number 14. P.36-42) are not correct, because the results are based on impracticable conditions, conflicting assumptions and incorrect distributions.
The exact solution of the kinetic equation of the one step process of a growth (birth) in the presence of sources (runs-off) is found for arbitrary dependence of the rate of the growth on the number of the state (or size). It is shown that the presence of the source leads on the broadening of the state (or size) distribution. It is shown also that the solution obtained can be used for approximate definition of the size distribution of nuclei for the case of large supersaturation of the vapor. The exact solution of the kinetic equation of the one step process of a decay in the presence of sources (runs-off) is found also for arbitrary dependence of the rate of the decay on the number of the state (or size).
The empirical formula of Timmermanns connecting the density of the crystal at zero absolute temperature with the parameters of the critical point of the gas-liquid phase transition is derived theoretically from the Van der Waals equation of state using the conditions of phase equilibrium. Two equations of state with three parameters describing the critical point of any pure substance are considered. The formula is derived approximately from the first equation and exactly from the second one.