“…The start of the photoelectron loss-energy spectrum, after setting the energy of the O 1s peak maximum to zero loss energy, was defined by linearly extrapolating the segment of maximum negative slope (dash-lines in the Figure 4) to the background level in each of the spectra [29][30][31]. The bandgap values of S1, S2, and S3 are as follows: 5.65 eV, 5.57 eV and 5.10 eV, which are in agreement with our results by variable angle spectroscopic ellipsometry (VASE) in Section 3.4, and previously reported bandgap values for HfO2 in different references [3,[32][33][34][35][36][37]. The high-resolution XPS fitting results of the O 1s peaks of S1, S2, and S3 are shown in (a-c), respectively, with experiment data (short dash lines), fitting result (red solid lines), and background (chartreuse solid lines).…”