Bulk modulus for Morse potential interaction with the distribution function based

The bulk modulus is a significant coefficient for the study of the compressible behaviour of the materials in the bulk case. The bulk moduli can be determined via the experimental method by measuring of the elastic parameters, via the semi-empirical procedures from the equation of state, or from theoretical images as in the theory of the integral equations. In this work we find a relationship of the bulk modulus for the Morse interaction potential employing the Fourier transformation and the mean-spherical approximation for the Morse interaction. We find that the bulk modulus of the Morse potential is composed of two terms, one from the kinetic part, and the other from the internal interaction of the particles composing the described-system. We find that the bulk modulus of the Morse interaction depends on the absolute temperature of the described composition and the compact factor. Besides, we find that the Bulk modulus formula which we derived of Morse potential, depends on the diameter of the particles in the system, and depends on the Morse interaction parameters. The formula which we derive is, in general, applied for the systems described by the Morse interaction in the vibrational case such as the hydrogen chloride and hydrogen fluoride molecules.