## 3 Results and Discussion
### Physical Properties with Theoretical Discussion
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Parameters** & **B0H** & **B01H** & **B03H** & **B05H** \\ \hline \(\rho\) & 4.041 (1) & 3.802 (1) & 3.873 (1) & 3.934 (1) \\ \hline t & 1.58 (2) & 2.03 (3) & 1.48 (2) & 1.62 (1) \\ \hline M.W & 133.444 (5) & 133.760 (5) & 134.392 (5) & 135.148 (5) \\ \hline N & 1.651 (1) & 1.652 (1) & 1.653 (1) & 1.653 (1) \\ \hline V\({}_{\rm m}\) & 33.022 (1) & 35.181 (1) & 34.699 (1) & 34.353 (1) \\ \hline d\({}_{\rm B,B}\) & 376.121 (1) & 383.905 (1) & 381.685 (1) & 380.000 (1) \\ \hline V\({}_{\rm P}\) & 0.631 (1) & 0.592 (1) & 0.601 (1) & 0.607 (1) \\ \hline OPD & 84.790 (1) & 79.586 (1) & 80.691 (1) & 81.504 (1) \\ \hline CN\({}_{\rm av}\) & 3.850 (6) & 3.853 (6) & 3.859 (6) & 3.871 (6) \\ \hline n\({}_{\rm b}\) & 0.702 (1) & 0.659 (1) & 0.669 (1) & 0.678 (1) \\ \hline C\({}_{\rm H\beta^{3+}}\) & - & 0.351 (1) & 1.067 (1) & 1.800 (1) \\ \hline r\({}_{\rm i}\) & - & 3.100 (5) & 2.140 (5) & 1.798 (5) \\ \hline r\({}_{\rm P}\) & - & 12.492 (3) & 8.628 (3) & 7.250 (3) \\ \hline F & - & 1.922 (2) & 4.029 (2) & 5.707 (2) \\ \hline R\({}_{\rm m}\) & 12.059 (1) & 12.863 (1) & 12.702 (1) & 12.576 (1) \\ \hline \(\alpha_{\rm m}\) & 4.780 (1) & 5.098 (1) & 5.035 (1) & 4.984 (1) \\ \hline R\({}_{\rm L}\) (\%) & 6.030 (1) & 6.044 (1) & 6.058 (1) & 6.058 (1) \\ \hline \(\varepsilon\) & 2.725 (3) & 2.729 (3) & 2.732 (3) & 2.732 (3) \\ \hline T & 0.886 (1) & 0.886 (1) & 0.885 (1) & 0.885 (1) \\ \hline \(\varepsilon_{\rm cp}\) & 1.725 (1) & 1.729 (1) & 1.732 (1) & 1.732 (1) \\ \hline M & 0.634 (1) & 0.634 (1) & 0.633 (1) & 0.633 (1) \\ \hline \(\alpha_{\rm o^{2-}}\) & 1.706 (1) & 1.820 (1) & 1.798 (1) & 1.780 (1) \\ \hline \(\Lambda\) & 0.691 (1) & 0.752 (1) & 0.741 (1) & 0.731 (1) \\ \hline \(\Lambda_{\rm rh}\) & 0.810 (4) & 0.808 (4) & 0.805 (4) & 0.804 (4) \\ \hline X & 1.171 (2) & 1.327 (2) & 1.323 (2) & 1.322 (2) \\ \hline Xe & 0.137 (2) & 0.137 (2) & 0.137 (2) & 0.137 (2) \\ \hline \(\chi^{(3)}\times 10^{-14}\) & 3.555 (2) & 3.582 (2) & 3.610 (2) & 3.610 (2) \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Summary of various physical and optical parameters obtained from the theoretical and experimental analysis. Electronic oxide polarizability can be estimated using experimental refractive index as follows,  
\[\alpha_{o^{2-}}=[\left(\frac{V_{m}}{2.52}\right)\left(\frac{n^{2}-1}{n^{2}+2} \right)-\sum\alpha_{cat}]/N_{o^{2-}}\hat{\mathrm{A}}^{3} \tag{1}\]  
where, \(\sum\alpha_{cat}\) denotes molar cation polarizability and \(N_{o^{2-}}\) represents number of oxide ions present in B0H set. For the present B0H set, \(\mathrm{a}\mathrm{L}_{2}\mathrm{O}\)-\(\mathrm{b}\mathrm{Bi}\mathrm{2}\mathrm{O}_{3}\)-\(\mathrm{c}\mathrm{P}_{2}\mathrm{O}_{5}\mathrm{-}\mathrm{g}\mathrm{B}_{2} \mathrm{O}_{3}\)-\(\mathrm{e}\mathrm{H}\mathrm{2}\mathrm{O}_{3}\); \(\sum\alpha_{cat}\) can be estimated as \(\mathrm{a}(2)\alpha_{\mathrm{L}_{1}}+\mathrm{b}(2)\alpha_{\mathrm{Bi}}+ \mathrm{c}(2)\alpha_{\mathrm{P}}+\mathrm{d}(2)\alpha_{\mathrm{B}}+\mathrm{e}( 2)\alpha_{\mathrm{H}\mathrm{o}}\) and \(N_{o^{2-}}\) can be estimated as \(\mathrm{a}(1)+\mathrm{b}(3)+\mathrm{c}(5)+\mathrm{d}(3)+\mathrm{e}(3)\). Here\(\mathrm{a}\mathrm{L}_{1}=0.0029\ \AA^{3}\), \(\alpha_{\mathrm{Bi}}=1.508\ \AA^{3}\), \(\alpha_{\mathrm{P}}=0.021\ \AA^{3}\), \(\alpha_{\mathrm{B}}=0.003\ \AA^{3}\) and \(\alpha_{\mathrm{H}\mathrm{o}}=0.91\ \AA^{3}\). Also, a, b, c, d and e are mole fractions of respective compounds used in batch calculation.