Ultrasonic velocity in sodium borate glasses

Abstract

Ultrasonic velocities in sodium borate glasses are measured as a function of composition at a frequency of 10 MHz and at a temperature of 298 K by making use of the ultrasonic pulse echo overlap method. Elastic properties of these glasses are analysed in terms of the elastic internal energy due to deformation; elastic resistances of the network-former, B₂O₃, and the modifier, Na₂O, are obtained as a function of composition from the plot ofMV ² againstx ₂, whereM is the molar mass of sodium borate glasses,V the velocity of sound andx ₂ the mole fraction of Na₂O. The elastic resistances of B₂O₃ and Na₂O are as follows: (i) forx ₂<0.33, the elastic resistance of B₂O₃ is smaller than that of Na₂O; (ii) atx ₂=0.33, the elastic resistances of B₂O₃ and Na₂O are equal; (iii) forx ₂>0.33, the elastic resistance of B₂O₃ is greater than that of Na₂O; (iv) atx ₂≈0.15, the elastic resistances of B₂O₃ and Na₂O become respectively maximal and minimal; (v) atx ₂≈0.23, the elastic resistances of B₂O₃ and Na₂O become respectively minimal and maximal; (vi) abovex ₂=0.36, the elastic resistance of Na₂O becomes negative.