Simulation of molecular mass distributions and evaluation of O2− concentrations in polymerized silicate melts

Abstract

A new statistical model is proposed for the molecular mass distributions (MMD) of polymerized anions in silicate melts. The model is based on the known distribution of Q n species in the MeO - Me 2 O - SiO 2 system. In this model, chain and ring complexes are regarded as a random series of Q n structons with various concentrations of bridging bonds ( 1 ≤ n ≤ 4, Q 0 corresponds to Si ). This approach makes it possible to esti- mate the probability of formation of various ensembles of polymer species corresponding to the general formula ( Si i O 3 i + 1 - j ) 2( i + 1 - j )- , where i is the size of the ion, and j is the cyclization number of intrachain bonds. The statistical model is utilized in the STRUCTON computer model, which makes use of the Monte Carlo method and is intended for the calculation of the composition and proportions of polyanions at a specified degree of polymerization of silicate melts (STRUCTON, version 1.2; 2007). Using this program, we simulated 1200 MMD for polyanions in the range of 0.52 ≤ p ≤ 98 , where p is the fraction of nonbridging bonds in the silicon- oxygen matrix. The average number of types of anions in this range was determined to increase from three (Si Si 2 and Si 3 ) to 153, and their average size increases from 1 to 7.2. A special option of the STRUCTON program combines MMD reconstructions in silicate melts with the formalism of the Toop-Samis model, which enables the calculation of the mole fraction of the O 2- ion relative to all anions in melts of spec- ified composition. It is demonstrated that, with regard for the distribution and average size of anion complexes, the concentration of the O 2- ion in the MeO - SiO 2 system is characterized by two extrema: a minimum at 40- 45 mol % SiO 2 , which corresponds to the initial stages of the gelenization of the polycondensated silicate matrix, and a maximum, which is predicted for the range of 60-80 mol % SiO 2 .