2004
DOI: 10.1021/jp048788l
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Statistical Mechanical Modeling of Chemical Reactions in Complex Systems:  The Reaction Free Energy Surface

Abstract: In this paper, the perturbed matrix method (PMM) is used in combination with basic statistical mechanics, to develop a general theoretical method to model chemical reactions and related molecular processes in complex systems, i.e., liquids, biochemical systems, macromolecules, etc. The main feature of this approach consists of the explicit treatment of the coupling between the reaction center and the fluctuating atomic-molecular environment, providing a rigorous statistical mechanical description of the chemic… Show more

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Cited by 44 publications
(75 citation statements)
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“…2,3,15,17,21 In this section we describe more thoroughly the basic derivations and physical implications of PMM, extending its theoretical framework to model excitonic effects in multichromophore systems. Finally, we show how to use statistical analysis of PMM results in the electronic state space in order to characterize the nature of QC perturbed quantum states.…”
Section: Theorymentioning
confidence: 99%
“…2,3,15,17,21 In this section we describe more thoroughly the basic derivations and physical implications of PMM, extending its theoretical framework to model excitonic effects in multichromophore systems. Finally, we show how to use statistical analysis of PMM results in the electronic state space in order to characterize the nature of QC perturbed quantum states.…”
Section: Theorymentioning
confidence: 99%
“…In this respect, we consider the repertoire of the electrostatic perturbation produced by the micelle and the solvent on the QC along the MD simulation, as statistically significant for all species along the reaction coordinate. 26,27 To summarize, as a consequence of these assumptions, 27 we can obtain the free energy barrier for the intracluster proton transfer by introducing a perturbation of the fluctuating micelle and solvent over the corresponding gas-phase reaction path (by means of PMM) using a single MD simulation ensemble.…”
Section: ' Introductionmentioning
confidence: 99%
“…[27][28][29][30] In this respect the main aim of this work is to introduce (and evaluate the reliability of) an alternative theoretical approach providing a tool, complementary to existing computational schemes, for addressing chemical reactions in solution. As a matter of fact in this paper we evaluate the reaction free energy surface of the reaction I in water, by means of a theoretical model based on statistical mechanics and the perturbed matrix method (PMM), [31][32][33][34][35][36][37] as introduced 38 and applied 39 in very recent papers. Moreover, using the quasi Gaussian entropy (QGE) theory 40 to model the reaction free energy in temperature, we are able to construct a complete theoretical description of the reaction thermodynamics.…”
Section: Introductionmentioning
confidence: 99%