THEORETICAL STUDY ON QUANTUM COUPLINGS BETWEEN CHARGE TRANSFER REACTION AND MEDIUM MODES

电荷转移反应与介质模式量子耦合的理论研究

• 批准号: 08640660
• 负责人: NAGAOKA Mistake
• 金额: $ 1.22万
• 依托单位: INSTITUTE FOR FUNDAMENTAL CHEMISTRY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1997
• 资助国家: 日本
• 起止时间: 1997 至 无数据
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08640660/
• 关键词: Chemical Reaction MD Method; Stochastic Differential Equation; Solvent Effects; Generalized Langevin Equation; Classical-Quantum Coupled System; Nonequilibrium Distribution; Nonequilibrium Stationary State; Relaxation Process; 超溶質分子; 媒質性溶媒分子; 分子

In this Scientific Research Program (C), notifying arbitrary nonlinearity of the solutesolvent interaction in the hamiltonian for chemical reacting systems in condensed phase, the final research purposes were to formulate the reaction rate for the charge transfer reactions and to compare the numerical results with the experimental ones. In the term of project, in order to estimate the vibrational nonadiabaticity in the classical-quantum coupled systems, we proposed a new quantization method based on an equation of motion and have executed numerical treatment for the concentration and dissipative transfer of the reactive energy due to nonequilibrium induced by the vibrational nonadiabaticity in the present systems.1. A dividing surface is newly proposed in a many-body phase space, over which the system trajectories do not recross if the saddle crossing motions are regarded as quasiperiodic. The recrossing dynamics of a four degrees-of-freedom Hamiltonian, a model of proton transfer reac … More tion of malonaldehyde, is investigated. It is shown that the apparent barrier recrossing motions observed over a naive dividing surface in the configurational space are 'rotated away' by a nonlinear canonical transformation, to noreturn single crossing motions over the new dividing surface defined in the phase space.2. A stochastic Path-integral (SPI) technique is explored. It is shown that this technique enables the direct computation of the transition amplitude with a finite space-time range, by generating a set of classical paths subject to simultaneous stochastic differential equations.The numerical values of the Boltzmann matrix elements for a harmonic potential are in good agreement with the analytical ones. Within the quantum TS theory, the flux-flux autocorrelation function is also evaluated at 630K for the H+H_2 exchange reaction and is found to give a satisfactory agreement with the previous studies. To appraise the influence of the dimensionality, both 1-dimensional Eckart potential and a full 3D LSTH potential calculations have been perfomed. The calculated values of the Boltzmann matrix elements for the collinear and the full 3D cases are found to deviate slightly each other in the lower temperature range. The 3D thermal rate constant becomes in very good agreement with the previous one. Less

在该科学研究计划（C）中，通知在凝结阶段的哈密顿化学反应系统中固化相互作用的任意非线性，最终的研究目的是为电荷传递反应的反应速率提出反应速率，并比较数值结果。在项目术语中，为了估计经典量子耦合系统中的振动非绝生性，我们提出了一种基于运动方程式的新量化方法，并执行了数值处理，以实现由于演示系统诱导的非平衡性引起的反应性能量的浓度和耗散传递的浓度和耗散传递。1。在多体相空间中新提出的分裂表面，如果将鞍交叉运动视为准二体二聚体，则系统轨迹不会突发。研究了四个自由度hamiltonian的刺激动力学，这是一种质子转移浓度的模型……更多的丙二醛。结果表明，在构型空间中的幼稚鸿沟表面上观察到的明显屏障被非线性规范变换“旋转”，以在相位空间中定义的新的分隔表面上的诺雷特单一交叉运动。2。探索了随机路径（SPI）技术。结果表明，该技术通过生成受简单随机微分方程的一组经典路径，可以直接计算具有有限时空范围的过渡放大器。与分析势相一致的玻尔兹曼矩阵元件的数值与谐波电位良好。在量子TS理论中，H+H_2交换反应在630K时还评估了通量 - 液压自相关函数，并发现与先前的研究给出了令人满意的一致性。为了评估维度的影响，一维ECKART电位和完整的3D LSTH潜在计算都已得到完善。发现共线的玻尔兹曼矩阵元件的计算值和整个3D病例的计算值在较低的温度范围内略微偏离。 3D热速率常数与上一个非常吻合。较少的

项目成果

Masataka Nagaoka: "Transition State Optimization on Free Energy Surface:Toward Solution Chemical Reaction Ergodography" International Journal of Quantum Chemistry. (印刷中). (1998)

Masataka Nagaoka：“自由能表面的过渡态优化：走向溶液化学反应 Ergodography”国际量子化学杂志（1998 年出版）。

Masataka Nagaoka: Potential Energy Function for Intramolecular Proton Trasfer Reaction of Glycine in Aqueous Solution. Journal of Physical Chemistry. 1998 (102)

Masataka Nagaoka：水溶液中甘氨酸分子内质子转移反应的势能函数。

Masataka Nagaoka: "A dividing Surface free from α Barrier Recrossing Motion in Many-Body Systems" Chemical Physics Letters. 265. 91-98 (1997)

Masataka Nagaoka：“多体系统中不受 α 势垒重新交叉运动影响的分割表面”《化学物理快报》265. 91-98 (1997)。

Mistake Nagaoka: "Chemical Reactions in Condensed Phase and Stochastic Numerical Analyzes- - -Langevin Equation in Complex Time Stochastic Quantization- - -" Surikaiseki-Kenkyusho Kokyuroku. 1032. (1998)

错误 Nagaoka：“凝聚相中的化学反应和随机数值分析 - - -复杂时间随机量化中的朗之万方程 - - -” Surikaiseki-Kenkyusho Kokyuroku。

Mistake Nagaoka, Katsuhiro Suenobu and Tokio Yamabe: "On the Hydropnium Ion Catalyzed Mechanizum in Vinyl Alcohol-Acetaldehyde Isomerization : Ab inition Molecular Orbital Theory and Monte Carlo Simulation" Journal of American Chemical Society. 119. 8023-

Mistake Nagaoka、Katsuhiro Suenobu 和 Tokio Yamabe：“On the Hydropnium Ion Catalyzed Mechanizum in VinylAlcohol-Acetogenic Isomerization：A inition 分子轨道理论和蒙特卡洛模拟”美国化学会杂志。