The photoisomerization mechanism of azobenzene: a semiclassical simulation of nonadiabatic dynamics

We have simulated the photoisomerization dynamics of azobenzene, taking into account internal conversion and geometrical relaxation processes, by means of a semiclassical surface hopping approach. Both n-->pi* and pi-->pi* excitations and both cis-->trans and trans-->cis conversions have been considered. We show that in all cases the torsion around the N==N double bond is the preferred mechanism. The quantum yields measured are correctly reproduced and the observed differences are explained as a result of the competition between the inertia of the torsional motion and the premature deactivation of the excited state. Recent time-resolved spectroscopic experiments are interpreted in the light of the simulated dynamics.     

Toward separation of nuclear spin isomers with coherent light.

We propose an approach for separating nuclear spin isomers with coherent light and illustrate it by numerical calculations using fulvene as a model system. The scheme employs the equivalence of torsion and interchange of equivalent H-atoms in a class of molecules of which fulvene is a simple example. The exchange symmetry couples with the rotational symmetry to produce a spatial distinction between the two photo-excited nuclear spin isomers, and wavepacket interferometry is applied to separate the species.     

Electronuclear multiconfiguration time‐dependent hartree calculations on the confined H atom with mobile electron and nucleus

A multiconfiguration time‐dependent Hartree method oriented toward calculations of a non‐Born‐Oppenheimer nature has been applied to the calculation of the dynamical properties of a confined H atom. The calculation is fully six‐dimensional and does not take into account constraints arising from linear or angular momentum conservation. The orbital evolution is monitored and the energy level spectrum of the system, as well as the dependence of the results on the decomposition of the Hamiltonian and on the correlation between radial degrees of freedom, is determined. © 2012 Wiley Periodicals, Inc.     

Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation

This paper introduces a wavepacket-transform-based Gaussian beam method for solving the Schrödinger equation. We focus on addressing two computational issues of the Gaussian beam method: how to generate a Gaussian beam representation for general initial conditions and how to perform long time propagation for any finite period of time. To address the first question, we introduce fast Gaussian wavepacket transforms and develop on top of them an efficient initialization algorithm for general initial conditions. Based on this new initialization algorithm, we address the second question by reinitializing the beam representation when the beams become too wide. Numerical examples in one, two, and three dimensions demonstrate the efficiency and accuracy of the proposed algorithms. The methodology can be readily generalized to deal with other semi-classical quantum mechanical problems.     

Hermiticity of Hamiltonian Matrix using the Fourier Basis Sets in Bond-Bond-Angle and Radau Coordinates

In quantum calculations a transformed Hamiltonian is often used to avoid singularities in a certain basis set or to reduce computation time. We demonstrate for the Fourier basis set that the Hamiltonian can not be arbitrarily transformed. Otherwise, the Hamiltonian matrix becomes non-hermitian, which may lead to numerical problems. Methods for correctly constructing the Hamiltonian operators are discussed. Specific examples involving the Fourier basis functions for a triatomic molecular Hamiltonian (J=0) in bond-bond angle and Radau coordinates are presented. For illustration, absorption spectra are calculated for the OClO molecule using the time-dependent wavepacket method. Numerical results indicate that the non-hermiticity of the Hamiltonian matrix may also result from integration errors. The conclusion drawn here is generally useful for quantum calculation using basis expansion method using quadrature scheme.     

N2O同位素的紫外光解：同位素分馏和产物的转动量子态分布

采用时间依赖的量子波包法研究¹⁴N¹⁴N¹⁶O、¹⁴N¹⁵N¹⁶O、¹⁵N¹⁴N¹⁶O、¹⁵N¹⁵N¹⁶O、¹⁴N¹⁴N¹⁷O和¹⁴N^{14相似文献}   

硫脲21A激发态扭曲几何结构的共振拉曼光谱和理论研究

获得了硫脲在水和乙腈溶液中A吸收带的共振拉曼光谱,通过B3LYP/6-311++G(3df,3pd)和RCIS/6-311++G(3df,3pd)分别对硫脲的电子跃迁和2¹A 激发态鞍点结构进行了研究．对共振拉曼光谱进行了归属,并通过含时波包理论对吸收光谱和共振拉曼光谱进行拟合,结果表明硫脲动态结构特征主要沿着：C=S伸缩振动ν₆(|△|=0.95)、H₅N₃H₆+H₈N₄H₇弯曲振动ν₅(|△|=0.19)、NCN对称伸缩振动+C=S伸缩振动+N₃H₆+H₈N₄弯曲振动ν₄(|△|=0.18)．ν₁₅倍频2ν₁₅和4ν₁₅强度主要归因于ν₁₅激发态频率的改变而不是简正模位移量的变化．对S=CN₂面外变形振动ν₁₅倍频出现的机理进行了探究,结果表明Franck-Condon区域势能面鞍点是标准A项共振拉曼散射里的二次声子机制的驱动力,导致碳原子中心的锥形化,并使硫脲在2¹A激发态发生几何结构扭曲.     

最小光学波包

采用量子力学算符方法确定了最小经典波包的Gauss型复函数表达式. 这些波包中心频率的取值可由位移参数和压缩因子任意调节.结合真空中自由传播光波的实例，探讨了经典物理量的复函数表述和负频率的物理意义. 以复函数的实部和虚部分别表示横波的两个独立振动模式, 而频率的正负则联系着圆偏振光偏振面的旋转方向和传播方向.还研究了最小光学波包的其他横波特性. 关键词： 最小不确定态 最小信号 光学波包     

Femtosecond vibrational nuclear dynamics in the electronically excited state of the I2 molecule

Dynamics of the nuclear motion in the bound electronic B-state of the I₂ molecule was studied in the real time scale. Experiments were performed by the femtosecond pump-probe technique, which measured the dependence of the intensity of fluorescenceP(t) in the highly excited f-state on the time delay between pump and probe pulses. TheP(t) dependence observed has an oscillating character with a period of –300 fs. The pump pulse was generated by a femtosecond dye laser and amplified in a pulse dye laser amplifier; its spectral width was 5.6 nm, the wavelength in the center of the spectrum was 614 nm, and the duration was 90 fs. The probe pulse was generated in a KDP crystal due to duplication of the light frequency; its spectral width was 1.2 nm, the wavelength in the center of the spectrum was 307 nm, and the duration was 120 fs. TheP(t) dependence on the parameters of the probe and pump pulses was theoretically analyzed in terms of the quantum model based on the known energies of electronic vibrational-rotational states in the X-, B-, and f-terms of the iodine molecule. Experimental and calculatedP(t) plots at time delays of up to l.5 ps and time resolution of less than 100 fs were compared. Values of potentials in the X-, B-, and f-terms of the iodine molecule, spectra, and durations of pump and probe pulses are sufficient data for quantitative calculation of the experimentally obtainedP(t) plot.Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 3, pp. 594–600, March, 1996.     

An Exact Propagator for Solving the Triatomic Reactive Schrödinger Equation

The exact short time propagator, in a form similar to the Crank-Nicholson method but in the spirit of spectrally transformed Hamiltonian, was proposed to solve the triatomic reactive time-dependent schrödinger equation. This new propagator is exact and unconditionally convergent for calculating reactive scattering processes with large time step sizes. In order to improve the computational efficiency, the spectral difference method was applied. This resulted the Hamiltonian with elements confined in a narrow diagonal band. In contrast to our previous theoretical work, the discrete variable representation was applied and resulted in full Hamiltonian matrix. As examples, the collision energy-dependent probability of the triatomic H+H₂ and O+O₂ reaction are calculated. The numerical results demonstrate that this new propagator is numerically accurate and capable of propagating the wave packet with large time steps. However, the efficiency and accuracy of this new propagator strongly depend on the mathematical method for solving the involved linear equations and the choice of preconditioner.