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Application of a new graphical fitting approach for data analysis in electrochemical impedance spectroscopy

机译：新的图形拟合方法在电化学阻抗谱数据分析中的应用

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A new grahical method for analyzing impedance data presented in the complex plane plot is introduced. The advantage of our approach is that it can be employed easily with commonly available spreadsheet calculation software like Microsoft Excel, beneficial when no CNLS software is available. A semicircle in the complex plane plot is defined by three points of the circumference. Knowing the trigonometric function, the radius, e.g., representing the bulk resistance of ion-selective membranes, can be calculated easily. The error of the data fit is determined by considering the standard deviation of the data points referred to the fitted semicircle. The capacitance of the system under investigation can be calculated by plotting the real part of the impedance against the angular frequency. If the equivalent circuit is known it is possible to obtain the value of the capacitor by employing the nonlinear least square method. The applicability and efficency of our method has been verified by analyzing networks and impedance spectra of ion-selective polymer matrix membranes. The results of our method were compared with those obtained by applying the CNLS method. [References: 18]
机译：介绍了一种用于分析复杂平面图中呈现的阻抗数据的新的梯度法。我们方法的优点是可以轻松地与常见的电子表格计算软件（例如Microsoft Excel）一起使用，这在没有CNLS软件可用时会很有用。复平面图中的半圆由圆周的三个点定义。知道了三角函数，可以很容易地计算出例如代表离子选择膜的体积电阻的半径。数据拟合的误差是通过考虑参考拟合半圆的数据点的标准偏差确定的。可以通过将阻抗的实数部分与角频率作图来计算所研究系统的电容。如果等效电路已知，则可以通过采用非线性最小二乘法来获得电容器的值。通过分析离子选择性聚合物基质膜的网络和阻抗谱，验证了我们方法的适用性和有效性。我们的方法的结果与应用CNLS方法获得的结果进行了比较。 [参考：18]

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