A consideration of the accuracy and application of the Brather approximation for the transformation of dielectric relaxation data from the time domain to the frequency domain

George P. Simon, Graham Williams

Research output: Contribution to journalArticleResearchpeer-review

5 Citations (Scopus)

Abstract

The methodology for conversion of transient current data in the time domain into dielectric loss data in the frequency domain using the Brather approximation is described. A test of the accuracy of the approximation is made using the 'stretched exponential' relaxation function (Kohlrausch-Williams-Watts function) for which the Fourier transform has been previously tabulated for a range of exponent \ ̄gb(0 < \ ̄gb ≤ 1). As an example of the application of the Brather approximation we report ultra-low frequency dielectric loss data (10-3.5 to 10-0.4) for a liquid-crystalline side-chain polymer as derived from transient current data.

Original languageEnglish
Pages (from-to)2038-2044
Number of pages7
JournalPolymer
Volume34
Issue number10
DOIs
Publication statusPublished - 1 Jan 1993

Keywords

  • dielectric
  • Fourier
  • liquid crystalline
  • polymer
  • relaxation

Cite this

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abstract = "The methodology for conversion of transient current data in the time domain into dielectric loss data in the frequency domain using the Brather approximation is described. A test of the accuracy of the approximation is made using the 'stretched exponential' relaxation function (Kohlrausch-Williams-Watts function) for which the Fourier transform has been previously tabulated for a range of exponent \ ̄gb(0 < \ ̄gb ≤ 1). As an example of the application of the Brather approximation we report ultra-low frequency dielectric loss data (10-3.5 to 10-0.4) for a liquid-crystalline side-chain polymer as derived from transient current data.",
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A consideration of the accuracy and application of the Brather approximation for the transformation of dielectric relaxation data from the time domain to the frequency domain. / Simon, George P.; Williams, Graham.

In: Polymer, Vol. 34, No. 10, 01.01.1993, p. 2038-2044.

Research output: Contribution to journalArticleResearchpeer-review

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AB - The methodology for conversion of transient current data in the time domain into dielectric loss data in the frequency domain using the Brather approximation is described. A test of the accuracy of the approximation is made using the 'stretched exponential' relaxation function (Kohlrausch-Williams-Watts function) for which the Fourier transform has been previously tabulated for a range of exponent \ ̄gb(0 < \ ̄gb ≤ 1). As an example of the application of the Brather approximation we report ultra-low frequency dielectric loss data (10-3.5 to 10-0.4) for a liquid-crystalline side-chain polymer as derived from transient current data.

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