The reorientational motion of substituted benzenes in the crystalline state. Dielectric relaxation of orthodinitrotetramethylbenzene and orthodinitrotetrachlorobenzene
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Cole–Cole equation
Cole–Cole equation
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To describe non-Debye relaxation phenomena observed in dielectric materials, the Cole–Cole (CC) relaxation model in the frequency domain and the Kohlrausch–Williams–Watts (KWW) relaxation model in the time domain were introduced in the physics of dielectrics. In this paper, we propose a new relaxation model with two parameters besides a relaxation time by expressing the relaxation function in the time domain in terms of the Mittag–Leffler functions. The proposed model represents a group of non-Debye relaxation phenomena and shows a transition between the CC and the KWW models. The relaxation properties described by the new model are analyzed, including the response function, the normalized complex dielectric permittivity, dielectric storage and loss factors as well as the relaxation frequency and time spectral functions. The presented relaxation function has a concise form and is expected to be applied to more complex relaxation phenomena.
Cole–Cole equation
Debye
Debye function
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Cole–Cole equation
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Debye
Cole–Cole equation
Debye–Hückel equation
Debye model
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The paper discusses the relation of the relaxation time τ of a dielectric to the measured decay time of polarization T and proposes a new expression for the internal field in a dielectric subjected to an alternating field. It is found for this expression that 1<T/τ<32 and that in most instances no serious error is incurred in using T instead of τ. Application to the case of several distinct relaxation times shows that the new expression gives relations between the complex dielectric constant and frequency which are observed experimentally.
Cole–Cole equation
Expression (computer science)
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Cole–Cole equation
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The dielectric relaxation of a model solution of polydisperse rods is studied numerically, using a modified Doi-Edwards model. A new model of the dielectric relaxation in the biphasic range of concentration is proposed.
Cole–Cole equation
Rod
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Cole–Cole equation
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A convenient method is suggested for determining the dielectric relaxation parameters of a dilute solution consisting of a polar solute in a non polar solvent. Only the measurements of the static dielectric constant, the complex dielectric constant at one microwave frequency, and the optical dielectric constant are needed to evaluate the relaxation time and distribution parameter.
Cole–Cole equation
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Cole–Cole equation
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Debye
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