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Slope of free energy plots in chemical kinetics

Cohen, Audrey O., Marcus, Rudolph A.·1968·The Journal of Physical Chemistry

Abstract

In current electron-transfer theory, an activation free energy term, ΔF*, depends in a simple way on the “standard” free energy of reaction, ΔF^0’, in the prevailing medium. Namely, ΔF* = (1/4)λ[1 + (ΔF^0’/λ)]^2, apart from small work terms; λ/4 is ΔF_0*, the value of ΔF* at (ΔF^0’ = 0; and λ obeys a simple additivity property. As an exploratory step an equation of the same functional form is applied in the present paper to data on Brønsted slopes of 16 proton- and atom-transfer reaction series. Thereby, the instantaneous slope of a ΔF* vs. ΔF^0’ plot is calculated to be (1/2)[1 + (ΔF^0’/4 ΔF_0*)]. Thus far the experimental results are consistent with this equation, but more data are needed. Other applications of the ΔF* equation, including one to the kinetic isotope effect, are also discussed. A rather approximate derivation of the above equation for atom and other transfers was given in an earlier paper of this series.

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Metadata

Authors
Cohen, A. O., & Marcus, R. A.
Venue
The Journal of Physical Chemistry
Published
1968-11
Volume
72
Issue
12
Pages
4249-4256
ISSN
  • 0022-3654 (ISSN-L)
  • 1541-5740
OpenAlex
W113405576
Cited by
232
References
0
FWCI
1.03
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Slope of free energy plots in chemical kinetics. https://app.cochat.ai/papers/10.1021/j100858a052
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Cohen, A. O., & Marcus, R. A. (1968). Slope of free energy plots in chemical kinetics. The Journal of Physical Chemistry. https://doi.org/10.1021/j100858a052

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