CH3O (X2 E)中电子-振动-自旋耦合能级的理论计算

基于透热模型,采用量子化学从头计算法研究了CH₃O(X²E)自由基中电子-振动-自旋轨道相互作用.透热势能面通过CASPT2/cc-pVTZ方法计算获得.通过对比实验数据,计算得到的电子-振动-自旋能级较以往的报道获得了更精确的计算结果. 关键词： 透热模型 姜-泰勒效应 电子-振动-自旋耦合     

氦原子自旋-自旋相互作用精细结构参数的理论计

利用多电子原子的精细结构哈密顿算符的球张量形式,通过计算氦原子的自旋-自旋相互作用哈密顿算符在|LSJMJ〉表象中的矩阵元,导出了氦原子的自旋-自旋相互作用精细结构参数的理论计算式,并就氦原子(n1s)(n2p)组态具体计算参数B之值.     

铝团簇的电子自旋极化与核自旋-自旋偶合的理论研究

利用传统的密度泛函理论在B3LYP/6-31 G(d)水平上优化了铝簇(Aln ,Aln与Aln-,n=2~9)的几何结构,并利用偶合的微扰的密度泛函理论在B3LYP/6-311 G(3df)水平上计算了核自旋-自旋偶合常数.优化结果表明Aln(n=2~9)中的电子是自旋极化的,与早期的质谱实验一致.核自旋-自旋偶合常数的计算结果表明电子的自旋极化与原子核的自旋取向有密切关系.     

类锂离子里德堡态中的自旋-其它轨道相互作用

以多电子原子精细结构哈密顿的球张量形式和三价原子的非相对论性能级结构理论为基础,借助不可约张量理论,建立了计算类锂离子里德堡态中的自旋-其它轨道相互作用能的一种解析理论形式.完成了所有的角向积分和自旋求和计算,自旋-其它轨道相互作用能最终用径向积分来表示.应用所建立的理论对类锂离子(1s2np)2Pj态的自旋-其它轨道相互作用能进行了具体分析.     

3-氨基-2,5-二氯苯甲酸振动光谱的密度泛函研究

为了本质地把握3-氨基-2,5-二氯苯甲酸(3A2,5DBA)的振动光谱和结构间的关系,在HF和B3LYP水平上利用6-311G(d,p)基组对3A2,5DBA进行了结构优化和振动频率的计算,得到了3A2,5DBA的结构信息和全部45个简正振动模式.通过与苯甲酸的结构参数以及相关文献数据的对比,发现B3LYP/6-311G(d,p)方法较HF/6-311G(d,p)方法能给出更加合理的结果.考虑到计算模拟分子和实验测量样品间的差异,对计算所得到的频率进行了合理的标度修正.在B3LYP/6-311G(d,p)方法下,对波数小于800cm-1的振动频率,标度因子取1.001 3,而波数大于800 cm-1的标度因子取0.961 3.借助Gaussian View程序包对所计算得到的振动模式进行了高精度指认,对3A2,5DBA的主要官能团及取代基团进行了振动分析.通过和实验测量的FTIR数据的比对,发现经标度修正后的计算结果和实验测量符合的很好.同时结合相关的文献报道,表明所做的振动指认和振动分析是合理的.     

氦原子自旋-其它轨道相互作用精细结构参数的理论计算

以多电子原子精细结构哈密顿的球张量形式和氦原子非相对论性能级结构理论为基础,借助不可约张量理论,建立了计算氦原子自旋-其它轨道相互作用精细结构参数的一种解析理论形式.完成了所有的角向积分和自旋求和计算,自旋-其它轨道相互作用精细结构参数最终用若干个径向积分来表示.以氦原子(1s2p)3P态为例,借用类氢形式的径向函数对这些径向积分进行了近似计算.计算结果表明:在氦原子的精细结构中,自旋-其它轨道相互作用与纯自旋-轨道相互作用的作用效果相反;在总自旋-轨道相互作用精细结构参数中,自旋-其它轨道相互作用起决定性作用,它决定着精细结构分裂的顺序.     

一维电声系统中的自旋-电荷分离

文章作者结合团簇微扰理论和优化声子基近似的方法，通过单电子谱函数的计算，研究了一维关联系统中声子效应对自旋-电荷分离的影响，发现由于有限声子频率带来的推迟效应抑制自旋-电荷分离，使之在谱函数中不可见，同时还得到电子对和极化子劈裂的信息。     

1-碘丙烷分子的电子动量谱学研究：自旋-轨道耦合效应与分子内轨道相互作用

利用不对称不共面电子动量谱仪,在2.5 keV碰撞能量下,采用高精度的SAC-CI方法计算了1-碘丙烷分子束缚能谱,同时采用Hartree-Fock、B3LYP/aug-cc-pVTZ(C,H)6-311G^**(I)方法计算其电子动量分布. 并对电离能峰进行了标示. 结合非相对论与相对论计算方法以及自然键轨道分析,对最外层两个轨道(碘的5p孤对)的自旋-轨道耦合效应与分子内轨道相互作用进行了比较. 两种相互作用对电子动量分布的不同影响是可观的. 实验结果与相对论计算的结果一致,表明1-碘丙烷分子内自旋-轨道耦合效应占主导.     

量子点接触中有关电导0.7结构的研究

研究了由鞍形势描述的量子点接触中的电子输运性质,利用Hartree-Fock近似与低维纳米器件中Thomas-Fermi近似方法处理了电子-电子之间的相互作用,采用格点格林函数方法计算了零温下体系的电导、电子的自旋积累以及散粒噪声,重现了0.7结构这个反常的实验现象.计算结果加深了我们关于半导体纳米器件中的强关联互作用对自旋输运影响的理解.     

CH4+O2体系中碰撞-诱导O2(X3∑-g→a1Δg)跃迁几率计算

采用从头计算二阶自旋-轨道多组态准简并微扰理论计算了CH4+O2体系中O2分子X3∑-g-a1Δg,X3∑-g-b1∑+g和b1∑+g-a1Δg的碰撞-诱导跃迁几率,分析了O2分子振动对跃迁几率的影响,并与O2+H2模型的结果做了比较.     

Theoretical Investigation of Femtosecond-Resolved Photoelectron Spectrum of NaI Molecules

The time-resolved photoelectron spectra （TRPES） of NaI molecules are calculated by using the time-dependent wave packet method. Two different potential energy curves （adiabatic and diabatic） are adopted in the simulation. The third peak of the photoelectron spectra presented in the adiabatic calculation is induced by the reflection of the wave packet. The oscillating of the wave packet onto the diabatic energy curve is a decreasing process. The comparison of the photoelectron spectra between the two different calculations （adiabatic and diabatic） is presented.     

Exact solution to the curve crossing problems of two linear diabatic potentials by transfer matrix method

In the present work we have reported a simple exact analytical solution to the curve crossing problem of two linear diabatic potentials by transfer matrix method. Our problem assumes the crossing of two linear diabatic potentials which are coupled to each other by an arbitrary coupling (in contrast to linear potentials in the vicinity of crossing points) and for numerical calculation purposes this arbitrary coupling is taken as Gaussian coupling which is further expressed as a collection of Dirac delta functions. Further we calculated the transition probability from one diabatic potential to another by the use of this method.     

芴二聚体三重激发态能量转移的理论研究

利用电子结构计算和电子转移速率理论,研究了芴二聚体的三重激发态能量转移过程. 应用限制性密度泛函理论构造得到非绝热态后,计算了控制能量转移的两个重要参数{电子耦合强度和重组能. 电子耦合强度的波动利用电子动力学模拟计算. 通过对上述参数相关函数的计算,成功得到了体系哈密顿量的对角元和非对角元波动,并应用微扰理论和波包扩散方法得到了能量转移速率. 结果表明,静态和动态的波动都明显地增加了能量转移速率,但是动态波动导致的速度增加却小于静态波动.     

Rapid adiabatic passage without level crossing

We present a method for achieving complete population transfer in a two-state quantum system via adiabatic time evolution in which, contrary to conventional rapid adiabatic passage produced by chirped pulses, there occurs no crossing of diabatic energy curves: there is no sign change of the detuning. Instead, we use structured pulses, in which, in addition to satisfying conditions for adiabatic evolution, there occurs a sign change of the Rabi frequency when the detuning is zero. We present simulations that offer simple geometrical interpretation of the two-dimensional motion of the Bloch vector for this system, illustrating how both complete population inversion and complete population return occur for different choices of structured pulses.     

Constrained relativistic mean-field approach with fixed configurations

A diabatic (configuration-fixed) constrained approach to calculate the potential energy surface (PES) of the nucleus is developed in the relativistic mean-field model. As an example, the potential energy surfaces of ²⁰⁸Pb obtained from both adiabatic and diabatic constrained approaches are investigated and compared. It is shown that the diabatic constrained approach enables one to decompose the segmented PES obtained in usual adiabatic approaches into separate parts uniquely characterized by different configurations, to follow the evolution of single-particle orbits till the very deformed region, and to obtain several well-defined deformed excited states which can hardly be expected from the adiabatic PESs.     

Spin-vibronic superexchange in Mott-Hubbard fullerides

In the Mott-Hubbard cubic fulleride Li3(NH3)6C60 the superexchange energy is found to be much smaller than the rotational quantum for Jahn-Teller deformations at fullerene sites. This gives rise to a new type of superexchange interaction involving threefold degenerate vibronic ground states of C3-60 ions. In contrast with spin-orbital models, the spin-vibronic superexchange can be only antiferromagnetic and shows a significant vibronic reduction of the superexchange amplitude, in agreement with magnetic susceptibility data. As a function of the transfer parameters, two quadrupolar fully dynamical vibronic orders with quenched vibronic moments on sites develop in the ground state.     

Spectroscopic effects of conical intersections of molecular potential energy surfaces

A simple vibronic coupling model involving two electronic states and two vibrational modes is considered. The model is based on harmonic diabatic potentials and linear coupling of the diabatic electronic states. It is shown that the adiabatic electronic potential energy surfaces exhibit, in general, a conical intersection. The well known E × E and E × B Jahn-Teller problems are contained as special cases. Using numerical methods the optical absorption spectrum is calculated exactly. Extremely complex vibronic spectra are obtained when the conical intersection occurs within the Franck-Condon (FC) zone. The exact vibronic spectra are compared with spectra calculated in the adiabatic and FC approximation. The genuine spectroscopic effects of conical intersections are revealed by a comparison with the results of standard one-dimensional vibronic coupling calculations. The presence of a conical intersection limits the applicability of the adiabatic and FC approximations much more strongly than in the one-dimensional case. The upper adiabatic electronic state is strongly affected by non-adiabatic coupling even when the point of intersection lies outside the FC zone. The relevance of these results for the calculation of molecular electronic spectra is briefly discussed.