The basic idea is that for any two reactions with two aromatic reactants only differing in the type of substituent, the change in free energy of activation is proportional to the change in Gibbs free energy.
12.
Enzymes that are saturated, that is, have a high affinity substrate binding, require differential binding to reduce the energy of activation, whereas small substrate unbound enzymes may use either differential or uniform binding.
13.
Catalyzed reactions have a lower activation energy ( rate-limiting free energy of activation ) than the corresponding uncatalyzed reaction, resulting in a higher reaction rate at the same temperature and for the same reactant concentrations.
14.
The free energy of activation ?G ! decreases from f 1 ( b 1 ) via f ( 0 ) ( a ) to f 2 ( zero ) and increases again for f 3 ( Marcus inverted region " ).
15.
It was R . A . Marcus who realized the role of the solvent when he worked on the nature and magnitude of the Gibbs free energy of activation for redox reactions, more precisely : one-electron transfer reactions of the outer sphere type.
16.
His 1915 publication, published shortly after his death, describes a chemical reaction between N atomic species in a 2N-dimensional phase space, using statistical mechanics to formally obtain the pre-exponential factor before the exponential term containing the Gibbs free energy of activation.
17.
In both forms, it is apparent that the difference in Gibbs free-energies of activations ( ?? " G " ! ) will be zero when the temperature is at the isokinetic ( or isoequilibrium ) temperature and hence identical for all members of the reaction set at that temperature.
18.
The original classical Marcus theory for outer sphere electron transfer reactions demonstrates the importance of the solvent and leads the way to the calculation of the Gibbs free energy of activation, using the exergonicity of the reaction, electron transfer should, according to Marcus theory, become slower in the very negative \ Delta G 0 domain.
19.
Thus the reorganization energy for chemical redox reactions, which is a Gibbs free energy, is also a parabolic function of & Delta; e of this hypothetical transfer, For the self exchange reaction, where for symmetry reasons & Delta; e = 0.5, the Gibbs free energy of activation is & Delta; G ( 0 ) ! = & lambda; o / 4 ( see Fig . 1 and Fig . 2 intersection of the parabolas I and f, f ( 0 ), respectively ).
20.
TST has been less successful in its original goal of calculating absolute reaction rate constants because the calculation of absolute reaction rates requires precise knowledge of potential energy surfaces, but it has been successful in calculating the standard enthalpy of activation ( ? ! " H " u ), the standard entropy of activation ( ? ! " S " u ), and the standard Gibbs energy of activation ( ? ! " G " u ) for a particular reaction if its rate constant has been experimentally determined . ( The ! notation refers to the value of interest " at the transition state " .)
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