Graphical Conversion between Compliance and Modulus, Permittivity and Electric Modulus, and Impedance and Admittance

[摘要] Spectrometries probing relaxation and retardation phenomena, such as dielectric, mechanical, and impedance spectroscopies, often require the analyses with both susceptibilities spectrazand its reciprocals1/z(e.g., complex permittivity and electric modulus, mechanical compliance and mechanical modulus, and impedance and admittance). In the present paper, the geometric relation betweenzand1/zis derived and the procedure to convertzinto1/zon 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 ofzspectrum and that of1/zspectrum and the shape of spectra are discussed on the basis of this method.

[学科分类] 光谱学