Study of Thermodynamic Properties of Monoclinic Sulfur (Sβ) Under High Pressure Using Three Different Equations of State for the Treatment Scabies in Dermatology

Abstract

Thermodynamic properties of monoclinic β-sulfur Sβ under high pressure up to 20 Gpa have been studied, where Orthorhombic α-sulfur Sα changes to Sβ at 94.4℃. The high pressure technology used to tackle the crystallization volume of sulfur Sβ without changes in the chemical properties. Sulfur Sβ can be used after the effect of high pressure in the development of the medicine used to treat scabies. The present study is performed to calculate the effects of high pressure on some important physical properties of the material such as (bulk modulus (B), compression volume ratio (VP/Vo), Grüneisen parameter ), Debye temperature (θD) and phonon frequency spectrum (pfs). Three different equations of state EOS's (Birch-Murnaghan EOS, Vinet EOS and modified Lennard-Jones EOS) were implemented to analyze pressure-volume relationship and then combining calculated data with various expressions of volume dependence of the other thermodynamic properties that are; Bulk modulus, Grüneisen parameter, Debye temperature and phonon frequency spectrum. The behavior of any of these concepts were described in different figures. It was found that, relative volume, and Grüneisen parameter were decreased with high pressure, while the other considered parameters; Bulk modulus, Debye temperature and phonon frequency spectrum were expected to increase as a high pressure is applied.

High-Pressure Calibration TiN Equation of State

“…B-M is a well-known equation of state for describing the thermodynamic behavior of the solid phase under high pressures, which is derived based on the internal potential energy in the solid and the pressure derivative of this internal potential energy. The B-M EOS [9,12] is expressed by: ( ) ( )…”

“…Different equations of state have been employed to describe pressure effects on various properties of Nano-TiO 2 [8]. Using three different equations of state, high pressure inducing useful characterization in Monoclinic Sulfur (Sβ) for the treatment of scabies in dermatology has been studied in [9]. Various equations of state were used to calculate, the bulk modulus and spinodal pressure of C 60 under strong compression [10].…”

Study the change of some physical and chemical properties of TiN under high pressure

“…Applying the last equation and considering (θDo=579 k) [14]. We extract the last figures (4) which represent the results of varying the Debye temperature with the press.…”