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Pre-exponential Factor in Semiconducting Organic Substances

Authors: Barnett Rosenberg; Benoy B. Bhowmik; Harold C. Harder; Elliot Postow;

Pre-exponential Factor in Semiconducting Organic Substances

Abstract

Experimental data on semiconducting organic substances are usually processed by use of the two-constant equation, σ(T) = σ0exp(−E / 2kT). Evidence from a number of cases now indicates that σ0 is dependent on E, when the equation is applied to certain single substances where E varies with preparation. A three-constant equation of the following form applies: σ(T) = σ0′ exp(E / 2kT0) exp(−E / 2kT) where T0 is a new constant, the “characteristic temperature” of the substance. A method of evaluating σ0′ and T0 is to vary the activation energy for semiconduction by any of at least three processes: (1) hydration of the crystals; (2) formation of weak donor–acceptor complexes; (3) using different cis–trans isomers of the substance when possible. One method of evaluating the constants is to plot logσ0vs E. The slope of this line yields (2kT0)−1, and the intercept yields σ0′. Other methods are possible and yield consistent results. These methods are demonstrated for the substances oxidized cholesterol, retinal, and nucleic acids. The implication of these results is that the Meyer–Neldel rule for compound inorganic semiconductors is valid for organic semiconductors as well. No reasonable theoretical explanation has yet been proposed to account for this rule.

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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!
101
Top 10%
Top 1%
Top 10%
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