The distribution of times (DRT) method has become an important extension for electrochemical impedance investigations. Calculating the DRT is particularly advantageous for complex systems, as it yields an increased resolution in frequency domain. However, the determination of the DRT from experimental impedance data requires special mathematical effort. An often‐used method for the calculation of the DRT is the Tikhonov regularization. The quality of the result of this method depends on the choice of a suitable regularization parameter. This parameter has to be selected by the user. In a former work (N. Schlüter, S. Ernst, U. Schröder, ChemElectroChem 2019, 6, 6027–6037), we showed a method that helps to find the best regularization parameter for given impedance data. However, this test was based on repetitive impedance measurements, which have to be performed at least twice. In this paper, we optimize our previous method to assure the determination of an optimal regularization parameter from just one single impedance spectrum. Eventually, this revision saves measurement time and makes our test also applicable for less time stable measurements.

中文翻译：

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在松弛时间分析的分布中直接访问最佳正则化参数

时间分布（DRT）方法已成为电化学阻抗研究的重要扩展。对于复杂系统，计算DRT尤其有利，因为它会在频域中提高分辨率。但是，根据实验阻抗数据确定DRT需要付出特殊的数学努力。Tikhonov正则化是计算DRT的常用方法。此方法结果的质量取决于选择合适的正则化参数。该参数必须由用户选择。在一个前工作（N.SCHLÜTER，S.恩斯特，U.施罗德，ChemElectroChem 2019，6（6027-6037），我们展示了一种有助于找到给定阻抗数据的最佳正则化参数的方法。但是，此测试基于重复阻抗测量，必须至少执行两次。在本文中，我们优化了先前的方法，以确保仅从一个阻抗谱中确定最佳正则化参数。最终，此修订版节省了测量时间，并使我们的测试也适用于时间稳定度较低的测量。