Quantitative analysis of ultrasonic attenuation in TiO2-doped CaO–Al2O3–B2O3 glasses

A comprehensive quantitative analysis of the composition dependence of ultrasonic attenuation in TiO2-doped 30CaO–30Al2O3–40B2O3 glasses was achieved according to the central force theory and ring deformation model. Empirical formulas relating ultrasonic attenuation at room temperature and 4 MHz frequency with a number of physical and structural parameters, such as the bulk modulus, oxygen density, average first order stretching force constant and atomic ring size of the network, number of loss centers, i.e. double-well systems (oxygen atoms vibrating in asymmetric double-well potentials) and the barrier height of the asymmetric double-well potential are reported. The good agreement between the observed and theoretically calculated values of bulk modulus evidences the validity of the derived empirical equations for the studied glasses.