柔度和模量、介电常数和电模量、阻抗和导纳之间的图形转换

M. Nakanishi
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引用次数: 6

摘要

探测弛豫和延迟现象的光谱学,如介电、机械和阻抗光谱,通常需要同时分析磁化率光谱及其倒数(如复介电常数和电模量、机械顺应性和机械模量、阻抗和导纳)。本文推导了与的几何关系,并给出了转换成Cole-Cole图的方法。这种方法有助于我们直观地将它们联系起来,并对它们的相互关系有更清晰的理解。此外,它还为用几何方法推导光谱的许多数学性质开辟了新的途径。在此基础上讨论了谱峰位置与谱峰位置和谱峰形状之间的关系。
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Graphical Conversion between Compliance and Modulus, Permittivity and Electric Modulus, and Impedance and Admittance
Spectrometries probing relaxation and retardation phenomena, such as dielectric, mechanical, and impedance spectroscopies, often require the analyses with both susceptibilities spectra and its reciprocals (e.g., complex permittivity and electric modulus, mechanical compliance and mechanical modulus, and impedance and admittance). In the present paper, the geometric relation between and is derived and the procedure to convert into on a Cole-Cole diagram is proposed. This method helps us to relate them intuitively and yields clearer understanding on their interrelations. Moreover, it opens the new route for the geometric approach to derive many mathematical properties of spectra. The relation between peak position of spectrum and that of spectrum and the shape of spectra are discussed on the basis of this method.
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