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Energy and Electron Transfer - II. Chapter-7 MMP+. P. H. December 19, 2002. Marcus Theory. - D G = l s + l v. Log k. normal. Inverted. - D G. Acc. Chem. Res., 1996, 29, 522. Example. k R >> k I. J. Am. Chem. Soc., 1989, 111, 8948. l = 0.39eV.
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Energy and Electron Transfer - II Chapter-7 MMP+ P. H. December 19, 2002
Marcus Theory -DG = ls + lv Log k normal Inverted -DG Acc. Chem. Res., 1996, 29, 522
Example kR >> kI J. Am. Chem. Soc., 1989, 111, 8948
Contact and Solvent Separated Radical Ion Pairs CRIP SSRIP A D* D+ A-
CRIP & SSRIP - An example DG2 = 1.8 kcal/mol k1 values depend on solvent polarity Dicloromethane -108 ; Hexane > 1010 Also more solvent reorganization for SSRIP than CRIP
Electron and Energy Transfer Equilibria Can’t even happen without Energy transfer equilibrium
Thermodynamics of the Equlibria For rigid systems For example.. DS - 0.04 gibbs/mol DS - -1.8 gibbs/mol
Electron Transfer Equilibria Cannot observe the equlibrium if… kbet >> k–et
Chemiluminescent Ion Recombination 1 2 Marcus Effect
Role of Diffusion Diffusion and collision D*A becomes DA* DA* breaks up into D and A*
Rate Constants: • kOBS, is close to calculated kDIFF. • kOBS is a function of T/. • kOBS is essentially invariant for quenchers of widely varying structure. • kOBS reach a limiting value which corresponds to the fastest bimolecular rate constant measured for that solvent. Obscured the Marcus Inverted Region
Diffusion - Distance/Time Relationship Diffusion coefficient (D) of benzene (25°C) - 2 x 10–5 cm2/s; if we assume the encounter to be over when one of the molecules has traveled a distance equivalent to the size of several solvent molecules (e.g. x ~ 10 Å, equivalent to about 2 benzene molecules), then we obtain a rough estimate of the time required by applying above equation of about 2.5 x 10–10 s.
Transient Effects on Quenching With Incresing Time
Static Quenching - Perrin Model ln ( ° / ) = V NA [ A] R (in Å) = 6.5 [A]1/3 (with [A] in M units)