## 3 Results
Thanks to its high-quality shading properties, Z\({}_{\rm eff}\) values were greatest for the VTBNd1.5 glass sample. For example, Z\({}_{\rm eff}\) values for VTBNd1.5 were 34.80, 35.13, 35.46, and 35.78 for the VTBNd0.0, VTBNd0.5, VTBNd1.0, and VTBNd1.5 samples at 0.15 MeV, respectively. However, the highest \(Z_{\rm eff}\) values were reported at 0.04 MeV as 50.44, 50.48, 50.52, and 50.55 for the VTBNd0.0, VTBNd0.5, VTBNd1.0, and VTBNd1.5 samples. The particle concentration in the medium is calculated, and then a radiation density correction is used in the equation to account for scattered radiation. Secondary ionizing radiation must be included in the overall calculation of buildup. The buildup factor is a multiplier compounded by the photon's attenuation rate to calculate the photon's total attenuation. The moderator allows for the disparity in the numbers of photons between the sources that makes up for their different intensities. Using the two sub terms of energy absorption, it can be classified into two forms of energy absorption factor, energy absorption buildup factor (EABF) and exposure buildup factor (EBF). In this study, EBF and EABF values were measured using a G-P fit approach from 0.5 to 40 mfp. The obtained fitting parameters along with their numerical values can be seen in Tables 3-6. Figure 8a-e or Figure 9a-e display the calculated EBF and EABF values against photon energy for the VTBNd0.0, VTBNd0.5, VTBNd1.0, and VTBNd1.5 samples. Figure 8a-e or Figure 9a-e illustrate the concentration of the three distinct constituent layers of EBF and EABF due to photon radiation. Areas affected by gamma rays are important to the connections between radiation and matter. Since the photoelectric effect can be ignored near the binding energy of high atomic numbers, peaks can be observed in the first region. On the other side, though, the third segment of the sample is the most interesting during pair growth, with the value declining due to absorption processes. \begin{table}
\begin{tabular}{c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Energy** **(MeV)**} & \multirow{2}{*}{**Z\({}_{\rm eq}\)**} & \multicolumn{6}{c}{**G-P Fitting Parameters for EBF**} & \multicolumn{6}{c}{**G-P Fitting Parameters for EABF**} \\ \cline{2-11}  & & **a** & **b** & **c** & **d** & **X\({}_{\rm k}\)** & **a** & **b** & **c** & **d** & **X\({}_{\rm k}\)** \\ \hline
0.015 & 22.82 & 0.268 & 1.005 & 1.081 & 0.241 & 6.312 & 0.261 & 1.005 & 1.075 & 0.232 & 7.651 \\
0.020 & 23.00 & 0.414 & 1.014 & 0.275 & \(-\)0.368 & 11.156 & 0.285 & 1.013 & 0.310 & \(-\)0.240 & 14.969 \\
0.030 & 23.34 & 0.205 & 1.040 & 0.373 & \(-\)0.235 & 22.020 & 0.246 & 1.039 & 0.336 & \(-\)0.173 & 16.382 \\
0.040 & 43.03 & 0.089 & 3.890 & 0.447 & \(-\)0.045 & 23.780 & 0.104 & 1.513 & 0.451 & \(-\)0.042 & 21.844 \\
0.050 & 43.58 & \(-\)0.191 & 3.189 & 0.134 & \(-\)0.006 & 12.982 & \(-\)0.062 & 1.437 & 0.145 & 0.046 & 10.070 \\
0.060 & 43.95 & 0.808 & 2.548 & 0.064 & \(-\)0.124 & 14.259 & 0.571 & 1.390 & 0.084 & \(-\)0.127 & 16.541 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: (Exposure buildup factor (EBF) and energy absorption buildup factor (EABF)) G-P fitting coefficients (b, c, a, Xk and d) of VTBNd0.0 glass sample. Figure 7: Variation of effective atomic number (Zeff) against photon energy for all glasses. \begin{table}
\begin{tabular}{c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Energy**} & \multirow{2}{*}{**Zeq**} & \multicolumn{6}{c}{**G-P Fitting Parameters for EBF**} & \multicolumn{6}{c}{**G-P Fitting Parameters for EABF**} \\ \cline{2-11}
**(MeV)** & \multirow{2}{*}{**Zeq**} & \multicolumn{2}  
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{ \begin{tabular}{c} **Energy** \\ **(MeV)** \\ \end{tabular}  } & \multirow{2}{*}{\(\mathbf{Z_{\text{eq}}}\)} & \multicolumn{6}{c}{**G-P Fitting Parameters for EBF**} & \multicolumn{6}{c}{**G-P Fitting Parameters for EABF**}  
Figure 8: (a–d) Variation of exposure buildup factor (EBF) against photon energy for all glasses.