Theoretical analysis for ultrasonic properties of vanadate-phosphate glasses over an extended range of composition: Part I

Effect of V ₂O ₅ on the physical, structural and ultrasonic properties of binary V ₂O ₅-P ₂O ₅ glasses has been comprehensively interpreted over a wide range of composition (45 mol% ≥ V ₂O ₅ ≤ 85 mol%). Elastic moduli and ultrasonic attenuation coefficient were correlated with the most significant compositional parameters, such as molar volume, excess molar volume, number of network bonds per unit volume, oxygen density, first-order stretching force constant, single bond strength, dissociation energy per unit volume and packing density of the glass. The correlation has been carried out on the basis of Abd El-Moneim`s semi-empirical formulas, bond compression model and Makishima-Mackenzie`s theory. One of Abd El-Moneim`s semi-empirical formulas was modified, due to the anomalous behavior between ultrasonic properties and calculated dissociation energy per unit volume. On the basis of the modified semi-empirical formula, correlation between ultrasonic attenuation coefficient and molar volume is achieved through the average first-order stretching force constant of P-O-V linkages. The divergence between theoretical and experimental values of elastic moduli has been attributed to the anomalous behavior between ultrasonic properties and dissociation energy per unit volume of the glass.