Construction of mathematical equation to predict the densities of BaO - B2O3 - Bi2O3 glass system using the percentage weights of its constituents

Abstract

Glass systems are now a trending topic of research for radiation shielding. It takes time to fabricate the glass and then to measure its density, following which other properties are determined. Some chemicals’ manufacturers write on the chemical containers the health effect of such chemicals if they get contact with eyes or skin and when inhaled. It’s therefore of great importance to devise non experimental technique to study the physical and shielding properties of glass systems. The aim of this work is to construct a mathematical equation capable of reproducing and predicting densities of glasses in the system given by “yBaO - xBi2O3 - (100 – x -y) B2O3”, where (10 ≤ y ≤ 24 wt% and 0 ≤ x ≤ 100 – y) wt%) so, as to avoid the repetitive fabrication of each member of this system and to cut the cost of fabrication and to assure safety from the chemical exposure. We made used of the existing samples to study the nature of the densities in such system and came up with an equation, using which the densities could be reproduced and some others could be predicted by deciding the weight percentages of the constituent chemicals. The formula has a minimum percentage accuracy of 97.4 %. The use of this formula for studying radiation shielding properties of glasses in this system is therefore of great importance.