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Markus Model for a Charge-Transfer Reaction

Markus Model for a Charge-Transfer Reaction

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Question:
Consider a simple model for a charge-transfer reaction that describes it as a motion along some reaction coordinate x, i.e., a Markus model. The energies of reactants and products are then given by

where ∆H is an enthalpy of the reaction.
a) Find the expression for the activation energy in terms of a, R, and ∆H.
b) What is the activation energy in the limits of R<< 1 and R>> 1?
c) At what enthalpy of the reaction the activation barrier for the reaction disappears?
d) When the heat of reaction is small the activation energy can be written as,

Express the parameters α and β in terms of a and R.

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