## 3 Results and Discussion
In contrast to the similarities observed in the \(f(y)\) distributions shown in Figure 4, the dose-weighted distributions displayed in Figure 5 exhibit significant differences. All spectra show a wide cluster of events, ranging from approximately 0.1 keV/\(\upmu\)m to 20 keV/\(\upmu\)m, originating from the interaction of photons with the detector walls. In the right panel of Figure 5, the shape of the photon component remains largely unaffected by the 0.48 MeV prompt gamma rays generated during BNC reactions. This occurs because this portion of the spectrum primarily arises from photons generated in the beamline, target, moderating structures, and (n,\(\upgamma\)) reactions taking place on the detector wall materials, particularly hydrogen and aluminum. The main differences are visible in the neutron component, above approximately 20 keV/\(\upmu\)m. In the measurement without boron, two distinct peaks emerge. The first peak, spanning from 20 to 200 keV/\(\upmu\)m, is attributed to recoil protons generated in the detector walls through fast neutron elastic scattering with hydrogen nuclei or the capture reaction of thermal neutrons on nitrogen. The second peak, extending from 200 to 500 keV/\(\upmu\)m, originates from recoil light ions, predominantly constituted by recoil carbon ions generated when fast neutrons scatter within the cathode walls of the detector. As the concentration of \({}^{10}\)B increases, the dose contribution above 20 keV/\(\upmu\)m increases significantly as a result of the BNC reaction products. A substantial peak is formed with a maximum at approximately 300 keV/\(\upmu\)m. Despite being responsible for a small fraction of all events, the BNC products make a significant contribution to the total absorbed dose when \({}^{10}\)B is added to the cathode walls. At a 100 ppm concentration of \({}^{10}\)B, the dose fraction corresponding to lineal energy events greater than 20 keV/\(\upmu\)m amounts to approximately 50%. Figure 6 reiterates the \(yd(y)\) distributions, previously shown in the right panel of Figure 5, for the sake of enhanced visualization of the pure BNC components. In Figure 6, the BNC components are distinctly highlighted as colored lines. These BNC components were derived by subtracting the spectrum obtained without boron from the total spectra acquired with boronated walls. The areas under the colored curves in Figure 6 represent the relative dose enhancements resulting from the presence of \({}^{10}\)B. In addition to examining dose enhancements, we also calculated the relative enhancement in the total number of events. Both aspects, the relative enhancement in the number of events (left axis) and the absorbed dose (right axis), are depicted in Figure 7. This figure provides a comprehensive view of these enhancements as a function of the \({}^{10}\)B concentration in the cathode walls. It can be observed that both the frequency and the dose contributions of BNC events are proportional to the boron concentration, as expected. Any deviations from the anticipated proportionality are consistently less than 3%, as demonstrated in the bottom panel of Figure 7.  
Figure 8 shows the pure BNC components at the various boron concentrations. The red line at 100 ppm represents the measured data at 100 ppm. For other concentrations (10, 25, and 70 ppm), the thin lines represent data directly measured, while the thick lines were derived by scaling each value of the 100 ppm line. Specifically, each data point on the thick lines was calculated by multiplying the corresponding value of the 100 ppm line by the ratio of the actual boron concentration (X-ppm) to 100 ppm. \[yd(y)\text{ at X-ppm}=yd(y)\text{ at 100 ppm}\times\frac{\text{X-ppm}}{\text{100-ppm}} \tag{4}\]  
The agreement between the directly measured distributions (thin line) and the ones derived from the 100 ppm data (thick line) is excellent. The key point is that both the dose components and the spectral distribution at specific boron concentrations can be accurately derived from measurements at a single concentration, such as 100 ppm.