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  • 1
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 70 (1998), S. 95-103 
    ISSN: 0020-7608
    Keywords: transition-state optimization ; free energy surface ; intrinsic reaction coordinate ; solution chemical reaction ergodography ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: To obtain a transition state (TS) in solution chemical reaction, a new TS optimization method has been proposed on a multidimensional free energy surface (FES). Analogous to the method for the Born-Oppenheimer potential energy surface using ab initio molecular orbital calculation, the present method utilizes force and Hessian on the FES, which can be calculated by molecular dynamics method and the free energy perturbation theory. Furthermore, on the basis of the method, we have proposed the definition of the intrinsic reaction coordinate (IRC) on the FES. According to not only the estimation of the computational demand but also the comparison of the numerical accuracy, we conclude that our method should be more efficient than such other methods that utilize only the free energy. Finally, it is discussed that the TS optimization and the IRC on the FES should become very important tools to develop a new research field called the solution chemical reaction ergodography.   © 1998 John Wiley & Sons, Inc. Int J Quant Chem 70: 95-103, 1998
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 0020-7608
    Keywords: molecular dynamics ; formamidine ; proton transfer ; heat capacity ; energy transfer ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: To explore the energy flow-mechanism of a solution-chemical reaction on the basis of an energy-fluctuation analysis and the time evolution of various kinds of energies [J. Phys. Chem. 48, 12506 (1994)], a chemical reaction molecular dynamics simulation was carried out in the microcanonical ensemble for the proton-transfer reaction of formamidine in an aqueous solution. The energy ΔE required to surmount the reaction barrier was found to be supplied mainly from the potential energy of the solvent water rather than from the solvent kinetic energy. The ratio of the reactive energy flow from the solvent potential vs. the kinetic energy, ΔV/ΔK, was 2.34 and was found to be in good agreement with the value of 1.96 predicted from the classical constant-volume heat capacity of water, CVB, via the Lebowitz-Percus-Verlet relation [Phys. Rev. 153, 250 (1967)]. This finding confirmed the results of Wilson et al. [J. Am. Chem. Soc. 113, 74 (1991)]; namely, that the ratio should be determined only by the heat capacity of the solvent with no relation to the kinds of solute molecules, and in aqueous solution, the coordinate fluctuation plays a more important role in the reaction occurrence than in the momentum fluctuation. Furthermore, on the assumption that the solute internal distribution is assumed to accomplish instantaneously thermal equilibrium with the surrounding solvent and to be characterized as an instantaneous canonical ensemble, the instantaneous partial molar constant-volume heat capacity of solutes, CVS(t), is defined at first by a simple extension of the relationship between the equilibrium heat capacity CVS and the ratio of the kinetic- and potential-energy fluctuations of the solutes. On the average, CVS(t) has a larger value than that evaluated within the harmonic approximation in the gas phase, i.e., 199.5 J K-1mol-1. The incompatibility was brought about by the intervention of the solute-solvent interaction. In addition, an exceptionally large value of CVS(t) was observed just 0.06 ps after (or before) the barrier crossing time and can be explained by the smaller fluctuation in the instantaneous kinetic energy. It was also observed that, during the relaxing (or surmounting) process of the reaction, CVS(t) becomes relatively larger than those in the transition and equilibrium periods, originating from the simple fact that the relatively larger potential fluctuation makes it easier to dissipate (or supply) the reactive energy from (or to) the reactants, as translated by a larger CVS(t).   © 1998 John Wiley & Sons, Inc. Int J Quant Chem 70: 133-145, 1998
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 70 (1998), S. 379-385 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The diffusion process of a hydrogen atom on the amorphous water ice surface was investigated under very low temperature conditions (10 and 70 K) using both classical and quantum approaches. The model amorphous water ice slab was prepared by the classical molecular dynamics (MD) simulation under the two-dimensional periodic boundary condition with 1000 water molecules in a unit cell. For a H atom thrown onto the surface of the amorphous ice, the sticking and diffusion processes were studied. In the sticking case, the incident H atom initially diffused for 1-3 ps and then became trapped in one of the stable sites on the amorphous ice surface. To estimate the quantum mechanical diffusion constant, a new formalism was developed using the differential diffusion constant. A rate calculation for a H atom diffusing from one trapped site to another on the amorphous water ice was performed. The numerical value was compared with the hopping rate constant for the classical thermal diffusion, and a large quantum effect was found.   © 1998 John Wiley & Sons, Inc. Int J Quant Chem 70: 379-385, 1998
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
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