## 5 Results and Discussion
### Aluminosilicate Glasses
These structural characteristics are reflected in the experimental longitudinal and transversal sound velocities of the aluminosilicate glasses under ambient conditions presented in Figure 7. In Figure 8, the experimental and calculated longitudinal,  
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Glass Name** & **u\({}_{\mathbf{L}}\) (m/s)** & **u\({}_{\mathbf{S}}\) (m/s)** & **L (GPa)** & **G (GPa)** & **K (GPa)** & **\(\sigma\)** & **Y (GPa)** \\ \hline \multirow{2}{*}{LAS1} & \(5883\pm 12\) & 3180 \(\pm\) 6 & 121.8 \(\pm\) 0.5 & 35.60 \(\pm\) 0.14 & 74.4 \(\pm\) 0.5 & 0.294 \(\pm\) 0.002 & 92.1 \(\pm\) 0.4 \\  & \(5888.2\pm 11.8\) & 3062.4 \(\pm\) 6.1 & 122.0 \(\pm\) 0.5 & 33.01 \(\pm\) 0.13 & 78.0 \(\pm\) 0.5 & 0.315 \(\pm\) 0.001 & 86.8 \(\pm\) 0.4 \\ \hline \multirow{2}{*}{LAS2} & \(6128\pm 12\) & 3329 \(\pm\) 7 & 134.1 \(\pm\) 0.5 & 39.56 \(\pm\) 0.16 & 81.3 \(\pm\) 0.6 & 0.291 \(\pm\) 0.002 & 102.1 \(\pm\) 0.4 \\  & \(6156.8\pm 12.3\) & 3342.6 \(\pm\) 6.7 & 135.3 \(\pm\) 0.5 & 39.89 \(\pm\) 0.16 & 82.1 \(\pm\) 0.6 & 0.291 \(\pm\) 0.002 & 103.0 \(\pm\) 0.4 \\ \hline \multirow{2}{*}{LAS3} & \(6144\pm 12\) & 3345 \(\pm\) 7 & 132.9 \(\pm\) 0.5 & 39.39 \(\pm\) 0.16 & 80.4 \(\pm\) 0.6 & 0.289 \(\pm\) 0.002 & 101.6 \(\pm\) 0.4 \\  & \(6131.3\pm 12.3\) & 3201.7 \(\pm\) 6.4 & 132.3 \(\pm\) 0.5 & 36.08 \(\pm\) 0.14 & 84.2 \(\pm\) 0.6 & 0.313 \(\pm\) 0.001 & 94.7 \(\pm\) 0.4 \\ \hline \multirow{2}{*}{LAS4} & \(6381\pm 13\) & 3413 \(\pm\) 7 & 145.8 \(\pm\) 0.6 & 41.70 \(\pm\) 0.17 & 90.2 \(\pm\) 0.6 & 0.300 \(\pm\) 0.002 & 108.4 \(\pm\) 0.5 \\  & \(6368.7\pm 12.7\) & 3294.8 \(\pm\) 6.6 & 145.2 \(\pm\) 0.6 & 38.86 \(\pm\) 0.16 & 93.4 \(\pm\) 0.6 & 0.317 \(\pm\) 0.001 & 102.4 \(\pm\) 0.4 \\ \hline \multirow{2}{*}{LAS5} & \(6413\pm 13\) & 3449 \(\pm\) 7 & 148.1 \(\pm\) 0.6 & 42.82 \(\pm\) 0.17 & 91.0 \(\pm\) 0.6 & 0.297 \(\pm\) 0.002 & 111.0 \(\pm\) 0.5 \\  & \(6421.5\pm 12.8\) & 3447.9 \(\pm\) 6.9 & 148.4 \(\pm\) 0.6 & 42.80 \(\pm\) 0.17 & 91.4 \(\pm\) 0.6 & 0.297 \(\pm\) 0.002 & 111.1 \(\pm\) 0.5 \\ \hline \multirow{2}{*}{LAS6} & \(6015\pm 12\) & 3130 \(\pm\) 6 & 154.1 \(\pm\) 0.6 & 41.73 \(\pm\) 0.17 & 98.5 \(\pm\) 0.7 & 0.314 \(\pm\) 0.001 & 109.7 \(\pm\) 0.5 \\  & \(6026.1\pm 12.1\) & 3009.7 \(\pm\) 6.0 & 154.7 \(\pm\) 0.6 & 38.59 \(\pm\) 0.15 & 103.2 \(\pm\) 0.7 & 0.334 \(\pm\) 0.001 & 102.9 \(\pm\) 0.4 \\ \hline \multirow{2}{*}{LAS7} & \(5871\pm 12\) & 3110 \(\pm\) 6 & 144.4 \(\pm\) 0.6 & 40.53 \(\pm\) 0.16 & 90.4 \(\pm\) 0.6 & 0.305 \(\pm\) 0.002 & 105.8 \(\pm\) 0.4 \\  & \(5895.7\pm 11.8\) & 3116.4 \(\pm\) 6.2 & 145.6 \(\pm\) 0.6 & 40.69 \(\pm\) 0.16 & 91.4 \(\pm\) 0.6 & 0.306 \(\pm\) 0.002 & 106.3 \(\pm\) 0.4 \\ \hline \multirow{2}{*}{LAS8} & \(6240\pm 12\) & 3339 \(\pm\) 7 & 162.8 \(\pm\) 0.7 & 46.60 \(\pm\) 0.19 & 100.6 \(\pm\) 0.7 & 0.300 \(\pm\) 0.002 & 121.1 \(\pm\) 0.5 \\  & \(6223.6\pm 12.4\) & 3221.8 \(\pm\) 6.4 & 162.0 \(\pm\) 0.6 & 43.39 \(\pm\) 0.17 & 104.1 \(\pm\) 0.7 & 0.317 \(\pm\) 0.001 & 114.3 \(\pm\) 0.5 \\ \hline \multirow{2}{*}{LAS9} & \(5923\pm 12\) & 3208 \(\pm\) 6 & 145.9 \(\pm\) 0.6 & 42.81 \(\pm\) 0.17 & 88.9 \(\pm\) 0.6 & 0.292 \(\pm\) 0.002 & 110.7 \(\pm\) 0.5 \\  & \(5941.1\pm 11.9\) & 3086.4 \(\pm\) 6.2 & 146.8 \(\pm\) 0.6 & 39.63 \(\pm\) 0.16 & 94.0 \(\pm\) 0.6 & 0.315 \(\pm\) 0.001 & 104.2 \(\pm\) 0.4 \\ \hline \multirow{2}{*}{LAS10} & \(6117\pm 12\) & 3261 \(\pm\) 7 & 154.2 \(\pm\) 0.6 & 43.81 \(\pm\) 0.18 & 95.7 \(\pm\) 0.7 & 0.301 \(\pm\) 0.002 & 114.0 \(\pm\) 0.5 \\  & \(6126.6\pm 12.3\) & 3157.5 \(\pm\) 6.3 & 154.6 \(\pm\) 0.6 & 41.08 \(\pm\) 0.16 & 99.9 \(\pm\) 0.7 & 0.319 \(\pm\) 0.001 & 108.4 \(\pm\) 0.4 \\ \hline \multirow{2}{*}{SiO\(shear, and bulk moduli of the LAS and SiO\({}_{2}\) glasses are shown. All moduli are found to be strongly affected by the Al\({}_{2}\)O\({}_{3}\) content in the glasses. Figure 8: Variation in experimental and calculated longitudinal (**a**), shear (**b**), and bulk (**c**) moduli with mole fraction for the aluminosilicate and pure SiO\({}_{2}\) glasses.