1963
DOI: 10.1002/bbpc.19630670911
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Calculation of the Spectrum of Chemical Relaxation Times for a General Reaction Mechanism

Abstract: A simple formalism is developed in which the determinantal equation for the reciprocal relaxation times of a reaction mechanism can be written down immediately from an inspection of the elementary chemical reactions in the mechanism. The reactions in the mechanism may be of any order; parallel reaction paths may be included. The determinantal equation can be solved for the relaxation times using the simple formalism and the expressions in terms of rate constants and equilibrium concentrations obtained at the e… Show more

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Cited by 103 publications
(24 citation statements)
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“…KT/KR = K0/K, [4] A maximum of three relaxation times may therefore be observed, and when the isomerizations are much slower than the associations (as borne out by experiment) one slow monomolecular time and two fast bimolecular times are expected (14).…”
Section: Results and Interpretationmentioning
confidence: 95%
See 1 more Smart Citation
“…KT/KR = K0/K, [4] A maximum of three relaxation times may therefore be observed, and when the isomerizations are much slower than the associations (as borne out by experiment) one slow monomolecular time and two fast bimolecular times are expected (14).…”
Section: Results and Interpretationmentioning
confidence: 95%
“…12) also through the quenching of the hapten fluorescence as well as changes in its absorption. (14) and Jovin (15), respectively. The experimental concentration dependences were fitted to those predicted by different mechanisms using the algorithm of Powell (16).…”
mentioning
confidence: 99%
“…The relationship of the affinity to the reaction advancement for each step and the coupling between equilibria is expressed in the diagonal and off-diagonal terms, respectively, of the g matrix as shown by Castellan [31]. For the scheme of Eqn (2) it is given by: (see p. 344).…”
Section: Appendixmentioning
confidence: 99%
“…two isomers toward ligand (L) gives rise to complex kinetics, which according to relaxation theory (10,24) should be triphasic. To our knowledge, no triphasic antibody-hapten reaction has previously been reported.…”
mentioning
confidence: 99%
“…Our stopped-flow experiments initiate from separate reactants, rather than from a point near equilibrium, hence relaxation theory (10,24) is not strictly applicable. Here we present a different treatment, which employs the approximation that the concentration of a ligand present in great excess is effectively constant over the course of a reaction, but which otherwise is exact.…”
mentioning
confidence: 99%