G. Careri et al., HOPPING AND DISSIPATIVE TUNNELING OF ORIENTATIONAL DEFECTS IN ICE, International journal of modern physics b, 8(7), 1994, pp. 839-846
We have measured the dielectric relaxation time of orientational defec
ts for H2O and D2O polycrysualine ice samples, in the temperature rang
e 200-270 K, and over the frequency range 0.3-1000 kHz. Results are in
good agreement with previous studies, and at T < 240 K departures fro
m the familiar Arrhenius law have been observed. We show that these de
viations from classical rate theory can be well described within the f
ramework of dissipative quantum tunneling (DQT) theory, assuming impur
ity-generated Bjerrum defects responsible for the observed dielectric
relaxation process over the entire temperature range investigated. The
temperature regions where quantum tunneling, crossover to thermal hop
ping, and quantum corrections to classical laws, respectively prevail
are here reviewed. Particularly significant is the perfect agreement,
near the crossover temperature T(c), of all our different samples with
a universal scaling law, as predicted by DQT theory. The crossover te
mperature T(c), where quantum tunneling and thermal hopping merge, has
been found close to 240 K and to 220 K for H2O and D2O ice respective
ly, thus showing the higher relevance of quantum effects in H2O ice. I
t is shown that the dielectric relaxation time of orientational defect
s for both H2O and D2O ice samples never attains a fully classical beh
aviour, even at their melting temperature.