## 6 Conclusions
The dispersion expressions (165)-(168) differ from the laws of classical Debye dispersion via the correction of \(\frac{\varepsilon_{\infty}}{\varepsilon_{\rm S}}\), where \(\varepsilon_{\rm S}(\text{T})\) in expression (131) denotes static permittivity, and permeability values at high frequencies are denoted via \(\varepsilon_{\infty}\). In the formal form, dispersion relations (161)-(163) resemble the classical expressions for the Debye dispersion [3], but they differ in coefficients, which results in other expressions for determining the maxima of the functions \(\left(\varepsilon^{(\omega)}\left(\frac{T_{\rm D}}{T_{\rm M}};\omega T_{\rm M }\right)\right)^{\prime/}\text{it }\text{tg}\delta^{(\omega)}\left(\frac{T_{\rm D}}{T_{\rm M}};\omega T_{ \rm M}\right)\), as well as their values. The Debye expressions for complex permittivity produce the maximum value of the function \(\text{tg}\delta^{(\omega)}\left(\frac{T_{\rm D}}{T_{\rm M}};\omega T_{\rm M} \right)\), which is reduced to \(1-\frac{\varepsilon_{\infty}}{\varepsilon_{\rm S}}\) (no cyanheinio c (163)), but this only occurs under a condition that is typical for dielectrics with a large depth of dispersion when the magnitudes of the maxima are approximately the same. The Debye relations [3] for determining the position of the maxima \(\left(\omega T_{\rm M}\right)_{\left[\max;(\varepsilon^{(\omega)})\left(\frac{ T_{\rm D}}{T_{\rm M}};\omega T_{\rm M}\right)\right]^{\prime/}}=\frac{\varepsilon_{ \infty}}{\varepsilon_{\rm S}}\) and \(\left(\omega T_{\rm M}\right)_{\left[\max;\text{tg}\delta^{(\omega)}\left( \frac{T_{\rm D}}{T_{\rm M}};\omega T_{\rm M}\right)\right]}\approx\sqrt{\frac{ 2}{\pi}\sqrt{\frac{T_{\rm M}}{T_{\rm D}}}}=\sqrt{\frac{\varepsilon_{\infty}}{ \varepsilon_{\rm S}}}\) are several \(\frac{\varepsilon_{\infty}}{\varepsilon_{\infty}}\) times higher than the corresponding values calculated via Formula (164). 11. The schedules of the dependences of \(\text{tg}\delta^{(\omega)}\left(\omega T_{\rm M}\right)\) (Figure A3 (from Formulas (167) and (159)), \(\left((\omega T_{\rm M})_{\max}\left(\frac{T_{\rm D}}{T_{\rm M}}\right)\), and \(\text{tg}\delta^{(\omega)}_{\max}\left(\frac{T_{\rm D}}{T_{\rm M}}\right)\) (Figure A4 (from Formulas (167) and (168)), constructed with respect to the Maxwell relaxation (\(\frac{T_{\rm D}}{T_{\rm M}}>1\)) confirm 10 deviation conclusions designated from the classical dispersion laws with respect to the strict quasiclassical research of ion relaxation polarization processes at the main frequency of the variation field (\(\omega\)). 12. According to Figure A5, the static dielectric constant of the volume charge polarization \(\varepsilon_{\rm S}(\text{T})\) is slightly dependent on temperature and coincides with the data with respect to the order of magnitude [135]. The high-frequency dielectric constant of \(\varepsilon_{\infty}\) has a weakly expressed minimum in the crossover region (T\({}_{\rm C}\approx 238\) K), but the value is slightly higher than the values calculated from the Debye dispersion [135]. Since the dispersion depth \(\Delta\varepsilon(\text{T})=\varepsilon_{\rm S}(\text{T})-\varepsilon_{\infty}\) in the Maxwell relaxation region \(\left(\frac{T_{\rm D}}{T_{\rm M}}>1\right)\) is characterized by a maximum, it can be argued that the concentration of structural defects in the vicinity of the crossover point increases (Figure A6). The obtained concentration value is close to the H\({}_{3}\)O\({}^{+}\) defect concentration, which confirms the decisive role of H\({}_{3}\)O\({}^{+}\) defects in the formation of volumetric charge in ice crystals. 13. The data from Figure A7 indicate that the Maxwell relaxation time \(T_{\rm M}(\text{T})\) has a minimum in crossover region T\({}_{\rm C}\) and negative activation energy values in the high-temperature region, which indicates the quantum nature of the movement of H\({}_{3}\)O\({}^{+}\) defects.