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International Journal of Spectroscopy
Article . 2014 . Peer-reviewed
License: CC BY
Data sources: Crossref
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International Journal of Spectroscopy
Article
License: CC BY
Data sources: UnpayWall
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Graphical Conversion between Compliance and Modulus, Permittivity and Electric Modulus, and Impedance and Admittance

Authors: Masahiro Nakanishi;

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

Abstract

Spectrometries probing relaxation and retardation phenomena, such as dielectric, mechanical, and impedance spectroscopies, often require the analyses with both susceptibilities spectra z and its reciprocals 1/z (e.g., complex permittivity and electric modulus, mechanical compliance and mechanical modulus, and impedance and admittance). In the present paper, the geometric relation between z and 1/z is derived and the procedure to convert z into 1/z 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 z spectrum and that of 1/z spectrum and the shape of spectra are discussed on the basis of this method.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Average
Average
gold