【摘要】 提出并证明了含有旋转半圆的电化学交流阻抗复数平面图和电容复数平面图上相似图形等效电路的变换规则。推而广之 ,对任意包含有复数阻抗和复数电容的等效电路 ,有着同样的变换规则。应用此规则 ,可以将在一个复数平面图上的研究结果直接用到另一个复数平面图上 ,因此 ,变换规则在电化学交流阻抗研究中是一种有用的的手段。更多还原

【Abstract】 The AC impedance technique is one of the important methods for electrochemical study. There is a certain transformation relationship between the equivalent circuits for similar plots on an impedance complex plane and on a capacitance complex plane. The transfer rules for an equivalent circuit being composed of the resistance and the capacitance, as well for one containing the Warburg impedance, has been given in our previous paper. Herein the transfer rule for the equivalent circuit characterizing a plot on a complex plane including a rotating semicircle was presented. For the impedance complex plot or capacitance complex plot containing a rotating semicircle, if following transformation is made on their equivalent circuit: (1) a resistance is substituted for a capacitance, and a capacitance for a resistance; (2) a complex capacitance is substituted for a complex impedance, and a complex impedance for a complex capacitance; (3) a parallel connection is changed to the series connection, and a series connection to a parallel connection, then the plot on a impedance complex plane for the original equivalent circuit is similar to the plot on a capacitance complex plane for the transferred one, or the plot on the capacitance complex plane for the original equivalent circuit is similar to the plot on the impedance complex plane for the transferred one. This means that parameters of the original equivalent circuit have the identical expressions with corresponding ones of the transferred equivalent circuit. Using the transfer rule the expressions of a plot on one plane and the parameters of its equivalent circuit can be directly used to a similar plot on other plane. Therefore, the transfer rule is useful for the electrochemical ac impedance study.更多还原