1991
DOI: 10.1007/978-1-4615-3700-7_31
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Theoretical and Experimental Study of Dimerization of Substituted Phenylacetylenes

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“…The nonadiabatic representation is not unique, and the choice made for MCMM is a valence bond Hamiltonian, in which V 11 ( V 22 ) is the energy of a valence bond state with the reactant's (product's) bonding pattern, and V 12 is the resonance energy. This kind of nondiagonal representation of the Hamiltonian has been used in a variety of contexts for modeling reactive systems. ,− In MCMM, the Born−Oppenheimer potential energy surface is obtained as the lowest eigenvalue of the matrix V , and it reproduces the higher-level data in the vicinity of each electronic structure data point. The MCMM method is therefore a general fitting scheme for creating semiglobal PESs for reactive systems.…”
Section: Introductionmentioning
confidence: 99%
“…The nonadiabatic representation is not unique, and the choice made for MCMM is a valence bond Hamiltonian, in which V 11 ( V 22 ) is the energy of a valence bond state with the reactant's (product's) bonding pattern, and V 12 is the resonance energy. This kind of nondiagonal representation of the Hamiltonian has been used in a variety of contexts for modeling reactive systems. ,− In MCMM, the Born−Oppenheimer potential energy surface is obtained as the lowest eigenvalue of the matrix V , and it reproduces the higher-level data in the vicinity of each electronic structure data point. The MCMM method is therefore a general fitting scheme for creating semiglobal PESs for reactive systems.…”
Section: Introductionmentioning
confidence: 99%
“…Note that the nonadiabatic representation is not unique, but the kind we have in mind here is a valence bond Hamiltonian in which V 11 is the energy of a valence bond state with the reactant's bonding pattern, V 22 is the energy of a valence bond state with the product's bonding pattern, and V 12 is their resonance energy. Such representations have been used in a variety of contexts for modeling reactive systems in the past. The MCMM method is actually a general fitting scheme for creating semiglobal PESs for reactive systems, and because a PES is constructed, it is not, strictly speaking, a direct dynamics method at all; however, it accomplishes the main objective of any direct dynamics scheme for VTST/MT calculations in that it allows one to carry out the entire dynamics calculation from a reasonably small amount of electronic structure data without requiring the traditional human judgment associated with the “art” of fitting multidimensional functions. The whole fitting process is unique and automatic with one exception, namely, the decision where to locate the input data.…”
Section: Introductionmentioning
confidence: 99%