THEORY OF AC SPACE-CHARGE POLARIZATION EFFECTS IN PHOTOCONDUCTORS, SEMICONDUCTORS, AND ELECTROLYTES
THEORY OF AC SPACE-CHARGE POLARIZATION EFFECTS IN PHOTOCONDUCTORS, SEMICONDUCTORS, AND ELECTROLYTES
复制标题
DOI：
10.1103/physrev.92.4
复制
发表时间：
1953-01-01
期刊：
影响因子：
--
通讯作者：
MACDONALD, JR
中科院分区：
文献类型：
--
作者：
MACDONALD, JR
提出了含载流子的固体或液体材料的交流行为的线性理论，载流子可以在材料内部自由移动，但不能通过电极离开材料。该理论适用于中性中心的任何程度的解离和正负电荷载流子的重组，但假设这些载流子仅由一种中性中心解离产生。所述移动载流子可以是电子、正空穴、正离子、负离子、正离子空位或负离子空位。对于正负载流子迁移率任意比的情况，得到了材料导纳的通解，但由于结果的复杂性，本文只对以下特殊情况作了详细的讨论：(a)载流子只有一个符号迁移，重组时间任意；(b)两种符号的载流子移动率相同，重组时间任意；(c)两种符号的载流子移动不均匀，重组时间很短。在情况(a)中，可能出现两个色散区域，其中一个是由重组引起的较低频率，另一个是由载流子的有限迁移率引起的。这两个区域都在很宽的频率范围内精确地遵循德拜色散曲线，从而可以通过只包含频率无关元件的简单等效电路来表示材料在任何重组时间内的电学行为。在(b)和(c)的情况下，只出现了运动色散区，它再次遵循Debye曲线。最后，将本理论的结果与半导体和电解质中交流空间电荷效应的其他理论的结果进行了比较。
A linear theory is developed of the ac behavior of solid or liquid materials containing charge carriers which can move freely within the material but cannot leave it through the electrodes. The theory applies for any degree of dissociation of neutral centers and recombination of positive and negative charge carriers, but these carriers are assumed to have been produced by dissociation from only one species of neutral center. The mobile carriers may be electrons, positive holes, positive ions, negative ions, positive ion vacancies, or negative ion vacancies. The general solution for the admittance of the material is obtained for an arbitrary ratio between the mobilities of positive and negative carriers, but, because of the complexity of the result, it is only discussed in detail in the present paper for the following special cases:(a) charge carriers of only one sign mobile, arbitrary recombination time;(b) charge carriers of both signs mobile with the same mobility, arbitrary recombination time; and (c) charge carriers of both signs mobile with unequal mobilities and very short recombination time. In case (a), two dispersion regions may appear, with that at lower frequencies arising from recombination and the other from the finite mobility of the carriers. Both regions follow Debye dispersion curves accurately over a wide frequency range, making it possible to represent the electrical behavior of the material for any recombination time by means of a simple equivalent circuit containing only frequency-independent elements. In cases (b) and (c), only the motional dispersion region appears, and it again follows Debye curves. Finally, the results of the present theory are compared with those of other theories of ac space-charge effects in semiconductors and electrolytes.