The impurities in ice generate the orientational defects in the sample that block proton jumps. In this article, we analyze the dielectric relaxation behavior of ice in the presence of impurities in the framework of the trap-controlled proton transport model. We obtain an expression for the dielectric relaxation time, which reproduces the non-Arrhenius behavior and includes the parameters of the ice microstructure. Using the obtained expression for the dielectric relaxation time, we analyze the dielectric relaxation of ice in a water-gelatin mixture with a low gelatin concentration and demonstrate excellent agreement between the developed theoretical approach and experiment. The developed approach discovers new promising possibilities of the method of broadband dielectric spectroscopy in control of the purity of ice.

冰中的杂质会在样品中产生定向缺陷，从而阻止质子跳跃。在本文中，我们在陷阱控制的质子传输模型的框架内分析了存在杂质时冰的介电弛豫行为。我们获得了介电弛豫时间的表达式，该表达式再现了非阿伦尼乌斯行为，并包括了冰微结构的参数。使用获得的介电弛豫时间表达式，我们分析了低明胶浓度的水-明胶混合物中冰的介电弛豫，并证明了开发的理论方法和实验之间的极好的一致性。所开发的方法发现了宽带介电光谱法在控制冰的纯度方面的新希望。