Marcus'Electron Transfer Rate Revisited via a Rice-Ramsperger-Kassel-Marcus Analogue:A Uni ed Formalism for Linear and Nonlinear Solvation Scenarios

In the pioneering work by R.A.Marcus,the solvation effect on electron transfer(ET)processes was investigated,giving rise to the celebrated nonadiabatic ET rate formula.In this work,on the basis of the thermodynamic solvation potentials analysis,we reexamine Marcus’formula with respect to the Rice-Ramsperger-Kassel-Marcus(RRKM)theory.Interestingly,the obtained RRKM analogue,which recovers the original Marcus’rate that is in a linear solvation scenario,is also applicable to the nonlinear solvation scenarios,where the multiple curve-crossing of solvation potentials exists.Parallelly,we revisit the corresponding Fermi’s golden rule results,with some critical comments against the RRKM analogue proposed in this work.For illustration,we consider the quadratic solvation scenarios,on the basis of physically well-supported descriptors.

Reaction Mechanism and Product Branching Ratios of OH+C2H3F Reaction:A Theoretical Study

Ab initio CCSD(T)/CBS//B3LYP/6-311G(d,p)calculations of the potential energy surface for possible dissociation channels of HOC2H3F,as well as Rice-Ramsperger-Kassel-Marcus(RRKM)calculations of rate constants,were carried out,in order to predict statistical product branching ratios in dissociation of HOC2H3F at various internal energies.The most favorable reaction pathway leading to the major CH2CHO+HF products is as the following:OH+C2H3F→i2→TS14→i6→TS9→i3→TS3→CH2CHO+HF,where the rate-determining step is HF elimination from the CO bridging position via TS11,lying above the reactants by 3.8 kcal/mol.The CH2O+CH2F products can be formed by F atom migration from Cαto Cβposition via TS14,then H migration from O to Cαposition via TS16,and C-C breaking to form the products via TS5,which is 1.8 kcal/mol lower in energy than the reactants,and 4.0 kcal/mol lower than TS11.

Unimolecular Dissociation of H⁺<sub style="margin-left:-6px;">2n+1</sub>Hydrogen Clusters: Measured Cross Sections and Theoretically Calculated Rate Constants

In this paper, we studied the process of dissociation unimolecular of the evaporation of H+2n+1 hydrogen clusters according to size, using the Rice-Ramsperger-Kassel-Marcus (RRKM) theory. The rate constants k(E) were determined with the use of statistical theory of unimolecular reactions using various approximations. In our work, we used the products frequencies instead of transitions frequencies in the calculation of unimolecular dissociation rates obtained by three models RRKM. The agreement between the experimental cross section ratio and calculated rate ratio with direct count approximation seems to be reasonable.

Theoretical Investigation on Mechanism, Thermochemistry, and Kinetics of the Gas-phase Reaction of 2-Propargyl Radical with Formaldehyde

Gas-phase mechanism and kinetics of the reactions of the 2-propargyl radical(H2CCCH), an important intermediate in combustion processes, with formaldehyde were investigated using ab initio molecular orbital theory at the coupled-cluster CCSD(T)//B3LYP/6-311++G(3df,2p) method in conjunction with transition state theory(TST), variational transition state theory(VTST) and Rice-Ramsperger-Kassel-Marcus(RRKM) calculations for rate constants. The potential energy surface(PES) constructed shows that the H2CCCH+HCHO reaction has six main entrances, including two H-abstraction and four additional channels, in which the former is energetically more favorable. The H-abstraction channels slide down to two quite weak pre-complexes COM-01(-9.3 kJ/mol) and COM-02(-kJ/mol) before going via energy barriers of 71.3(T0/P1) and 63.9 kJ/mol(T0/P2), respectively. Two post-complexes, COM-1(-17.8 kJ/mol) and COM-2(-23.4 kJ/mol) created just after coming out from T0/P1 and T0/P2, respectively, can easily be decomposed via barrier-less processes yielding H2CCCH2+CHO(P1,-12.4 kJ/mol) and HCCCH3+CHO(P2,-16.5 kJ/mol), respectively. The additional channels occur initially by formation of four intermediate states, H2CCCHCH2O(I1, 1.1 kJ/mol), HCCCH2CH2O(I3, 4.5 kJ/mol), H2CCCHOCH2(I4, 10.2 kJ/mol), and HCCCH2OCH2(I6, 19.1 kJ/mol) via energy barriers of 66.3, 59.2, 112.2, and 98.6 kJ/mol at T0/1, T0/3, TOM, and TO/6, respectively. Of which two channels producing 14 and 16 can be ignored due to coming over tlie high barriers TOM and TO/6, respectively. The rate constants and product branching ratios for the low-energy channels calculated show that the H2CCCH+HCHO reaction is almost pressure-independent. Altliough the H2CCCH+HCHO→Ⅰ1 and H2CCCH+HCHO→Ⅰ3 channels become dominant at low temperature, however, they are less competitive channels at high temperature.