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Concerning the Problem of the Isokinetic Relationship. III. The Temperature-Dependance of the hammett Equation

Authors: W Linert; R Schmid; AB Kudrjawtsev;

Concerning the Problem of the Isokinetic Relationship. III. The Temperature-Dependance of the hammett Equation

Abstract

It is shown that the temperature-dependence of the Hammett equation is, in contrast to tradition, both physically and experimentally better described by means of temperature-dependent s and temperature- independent ? (termed ?o). The relationship between ?o and the customary (temperature dependent) ? is ?T = ?o(1/T-1/Tbiso)/(1/T-1/Tbiso) where Tbiso , is the isoequilibrium temperature of the benzoic acid ionization, for which the present analysis suggests a value of -255 K, and T is 298 K. In these terms, the temperature variation of the Hammett equation can be evaluated by supplying merely E(u)a (the activation energy for the reaction of the unsubstituted reactant) and ?o, in that the s value for the isokinetic substituent , i.e., the abscissa of the common point of intersection in the Hammett plot, is siso = (1/T-1/Tbiso)E(u)a/(2.303R?o) = E(u)a/(2630po) Further, ?o I related to energies ?o = E(u)a/(?H°u-?H°s(iso)) where ?H°u and ?H°s(iso) are the ionization enthalpies of the parent benzoic acid and that bearing the isokinetic substituent , respectively. Analogous equations apply to thermodynamic reaction series when substituting E(u)a for ?H°u(series). Along these lines the interpretation of the customary Hammett plot is advanced.

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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!
14
Average
Top 10%
Top 10%
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