## 8 Conclusions (with Elements of Results Analysis)
This allows dividing the temperature regions (zones) of relaxation of the diffusion type (\(T_{\rm D}<T_{\rm M}\)), when the relaxation parameters (33a) are written as  
\[\Gamma_{1,{\rm D}}^{(\omega)}=\frac{4T_{\rm D}}{\pi^{2}T_{\rm M}}\sum_{\rm n=1 }^{\infty}\left[\frac{(1-(-1)^{\rm n})\cdot\left(\rm n^{2}+\frac{T_{\rm D}}{T_ {\rm M}}\right)}{\rm n^{2}\left(\left(\rm n^{2}+\frac{T_{\rm D}}{T_{\rm M}} \right)^{2}+\omega^{2}T_{\rm D}^{2}\right)}\right],\Gamma_{2,{\rm D}}^{( \omega)}=\frac{4T_{\rm D}}{\pi^{2}T_{\rm M}}\sum_{\rm n=1}^{\infty}\left[ \frac{(1-(-1)^{\rm n})\cdot\omega T_{\rm D}}{\rm n^{2}\left(\left(\rm n^{2}+ \frac{T_{\rm D}}{T_{\rm M}}\right)^{2}+\omega^{2}T_{\rm D}^{2}\right)}\right],\]  
and the Maxwell type (\(T_{\rm M}<T_{\rm D}\)), when the relaxation parameters (33a) are recorded differently  
\[\Gamma_{1,{\rm M}}^{(\omega)}=\frac{4}{\pi^{2}}\sum_{\rm n=1}^{\infty}\left[ \frac{(1-(-1)^{\rm n})\cdot\left(1+\rm n^{2}\frac{T_{\rm M}}{T_{\rm D}}\right) }{\rm n^{2}\left(\left(1+\rm n^{2}\frac{T_{\rm M}}{T_{\rm D}}\right)^{2}+ \omega^{2}T_{\rm M}^{2}\right)}\right],\ \Gamma_{2,{\rm M}}^{(\omega)}=\frac{4}{\pi^{2}}\sum_{\rm n=1}^{\infty} \left[\frac{(1-(-1)^{\rm n})\cdot\omega T_{\rm M}}{\rm n^{2}\left(\left(1+\rm n ^{2}\frac{T_{\rm M}}{T_{\rm D}}\right)^{2}+\omega^{2}T_{\rm M}^{2}\right)} \right].\]  
Additional criteria of the validity of the dispersion expressions (38) and related relaxation parameters (33a) are established. So, for the case of diffusion relaxation at temperatures much lower than the critical \(\left(T_{\rm n,D}<<T_{\rm M};\frac{T_{\rm D}}{T_{\rm M}}<<\ n^{2}\right)\), according to the limit expressions (42), in the low frequency region of the field \(\omega T_{\rm D}<<1\), when equals (42) are approximated to the form \(\Gamma_{1,{\rm D}}^{(\omega)}\approx\frac{4T_{\rm D}}{\pi^{2}T_{\rm M}}\sum_{ \rm n=1}^{\infty}\left[\frac{(1-(-1)^{\rm n})}{\rm n^{4}+\omega^{2}T_{\rm D} ^{2}}\right]\approx\frac{4T_{\rm D}}{\pi^{2}T_{\rm M}}\sum_{\rm n=1}^{\infty} \left[\frac{(1-(-1)^{\rm n})}{\rm n^{4}}\right]=\frac{\pi^{2}T_{\rm D}}{12T_{ \rm M}}\), \(\Gamma_{2,{\rm D}}^{(\omega)}\approx\frac{4T_{\rm D}}{\pi^{2}T_{\rm M}}\sum_{ \rm n=1}^{\infty}\left[\frac{(1-(-1)^{\rm n})\cdot\omega T_{\rm D}}{\rm n^{2} \left(\rm n^{4}+\omega^{2}T_{\rm D}^{2}\right)}\right]\to 0\), polarization goes into a quasi-stationary mode. According to the dispersion expressions (43), which are the same dispersion expressions in (38) written formally, for the diffusion type case (\(T_{\rm D}<<T_{\rm M}\)) relaxation, the real and imaginary components of the dielectric constant are converted to a form corresponding to classical dipole polarization  
\[\omega T_{\rm D}<<1\colon\left[\hat{\epsilon}^{(\omega)}\right]_{\rm D}\approx \epsilon_{\infty}\frac{1}{1-\Gamma_{1,{\rm D}}^{(\omega)}}\approx\frac{\epsilon_ {\infty}}{1-\frac{\pi^{2}T_{\rm D}}{12T_{\rm M}}}\approx\epsilon_{\infty} \frac{\pi^{2}T_{\rm D}}{12T_{\rm M}},\ \left[\hat{\epsilon}^{(\omega)}\right]_{\rm D}^{//}\to 0.\]  
The only clarification is that here the relaxation time ratio \(\frac{T_{\rm D}}{T_{\rm M}}=\frac{A}{\Upsilon}\times\frac{W^{(1)}({\rm T})}{W^ {(0)}({\rm T})}\) is a more complex function of temperature T than in the classical model.