An Investigation into Empirical Equations for Predicting Density and Packing Density Parameters Across Diverse Chemical Compositions: A Theoretical Approach

This work investigates an empirical equation for predicting the density and packing density parameter for different chemical combinations. The empirical equation suggested by Makishima and Mackenzie (1973) was employed to calculate the values of Vi, which indicates the packing density parameter and the equation proposed by Inaba and Fujino (2010) was utilized to calculate the density values. To determine the density values accurately, Vi is essential. This research focuses on revisiting the density model established by Inaba and Fujino (2010) to increase its accuracy. It is found that the ionic packing ratio is approximately constant and independent of the chemical composition. For different categories of glasses, including silicate, tellurite, and phosphate. The density has been meticulously calculated. These calculations rely on compositional parameters such as molecular weight, molecular fractions, and notably, the ionic radius of various metals. Density values are fundamental to the theoretical examination of radiation properties in the Phy-x/PSD software. Utilizing advanced tools and software allows for the prediction of glass physical parameters, which are indispensable in the fields of optical devices and electronic materials. This research establishes a connection between the composition of oxide glasses and their density. Consequently, it enhances our understanding of the properties and behaviour of these materials.