Further Study of A-Related Quantum Interference of H-State Diatomic on Collision-Induced Rotational Energy Transfer

In our previous theoretical studies [Meng-Tao Sun, Yong-Qing Lee, and Feng-Cai Ma, Chem. Phys.Left. 371 （2003） 342], we have reported the quantum interference on collision-induced rotational energy transfer on CO （A ^1 Π,v = 3） with inert gases, which originates from the difference between the two A-related collision potential energy surfaces. The interference angle, which measures the degree of coherence, is presented in this paper. Based on the time-dependent first order Born approximation, taking into account the anisotropic Lennard-Jones interaction potentials, the relation of the interference angle with the factors, including experimental temperature, partner, and rotational quantum number, are obtained. The changing tendencies with them are discussed. This theoretical model is important to understanding and performing this kind of experiment.     

Case(b）情况下NO的非弹性散射及 相关量子干涉的理解

我们已经对原子与双原子分子间的碰撞量子干涉进行了理论研究,为了对 分裂引起的碰撞诱导转动传能进行更一步的研究,建立了洪德情况b下原子双原子分子系统的理论模型.对洪德情况b下原子双原子分子系统干涉程度进行了讨论,并对洪德情况b下NO与He, Ne , Ar碰撞干涉角进行了定量计算。在含时一级波恩近似下,考虑各向异性相互作用势,定量分析转动量子数,实验温度等对干涉角的影响。     

Case(b）情况下NO的非弹性散射及 相关量子干涉的理解

我们已经对原子与双原子分子间的碰撞量子干涉进行了理论研究,为了对 分裂引起的碰撞诱导转动传能进行更一步的研究,建立了洪德情况b下原子双原子分子系统的理论模型.对洪德情况b下原子双原子分子系统干涉程度进行了讨论,并对洪德情况b下NO与He, Ne , Ar碰撞干涉角进行了定量计算。在含时一级波恩近似下,考虑各向异性相互作用势,定量分析转动量子数,实验温度等对干涉角的影响。     

Collisional Quantum Interference on Rotational Energy Transfer： Relation Between Integral Interference Angle and Rotational Quantum Number in Na2（A^1∑u^＋,ν=8～b^3∏0u,ν=14）-Na System

Collisional quantum interference （CQI） on rotational energy transfer was observed in Na2（A^1∑u^＋,ν=8～b^3∏0u,ν=14） system in collision with Na [Chem. Phys. Lett. 318 （2000） 107], and the degree of the interference was measured. The integral interference angle was obtaJned through theoretical calculation. We will research the factors that have effect on collisional quantum interference on rotational energy transfer in Na2（A^1∑u^＋,ν=8～b^3∏0u,ν=14）-Na system. Basing on the time-dependent first order Born approximation, and taking into account the anlsotroplc Lennard Jones interaction potentials and ＂straight-line＂ trajectory approximation, we obtain the factors that have effect on CQI in Na2-Na system, and obtain the relation between the integral interference angle and rotational quantum number.     

Interference Angle on Quantum Rotational Energy Transfer in Na＋Na2 （A1 ∑u^＋,v=8-b^3∏0u,v=14） Molecular Collision System

In order to study the collisional quantum interference （CQI） on rotational energy transfer in atom-diatom system, we have studied the relation of the integral interference angle and differential interference angle in Naq-Na2 （A1 ∑u^＋,v=8-b^3∏0u,v=14） collision system. In this paper, based on the first-Born approximation of timedependent perturbation theory and taking into accounts the anisotropic effect of Lennard-Jones interaction potentials, we present a theoretical model of collisional quantum interference in intramolecular rotational energy transfer, and a relationship between differential and integral interference angles.     

Na_2(A~1∑_u~+,v=8～b~3∏_(0u),v=14)-Na体系转动传能的碰撞量子干涉效应(英文)

沙国河及其工作组于1995年发表了COA^1∏（v=0）～e^3∑^-（v=1）与He,Ne及其它碰撞伴的碰撞过程中转动传能的碰撞量子干涉现象,并得到了积分干涉角,陈等从理论和实验上发现了Na2（A^1∑u^＋,v=8～b^3∏0u,v=14）体系与Na（3s）碰撞的碰撞量子干涉现象,孙等计算了其积分干涉角,但是对微分干涉角没有过多的计算.本文作为对原子-双原子体系碰撞诱导转动传能的进一步理论研究,在含时一级波恩近似的基础上考虑各向异性相互作用势和长程相互作用势,计算了单叁混合态的Na2（A^1∑u^＋,v=8～b^3∏0u,v=14）体系与Na碰撞的微分干涉角,并得到了微分干涉角与碰撞参数的关系,此理论模型对理解和进行分子束实验是非常重要的.     

Na_2(A~1∑_u~+,v=8-b ~3∏_(0u),v=14)-Na体系碰撞诱导转动传能的微分干涉角(英文)

对原子-双原子体系碰撞诱导转动传能进行,进一步的理论研究．在含时一级波恩近似的基础上考虑各向异性相互作用势,计算了单-叁重混合态的Na2(A1∑u ,v=8-b 3∏0u,v=14)体系与Na碰撞的微分干涉角(b≤ρ和b≥ρ),得到了微分干涉角与碰撞参数的关系,对其碰撞量子干涉作出了定量准确的描述．     

Na2(A1∑+u，v=8~b3Π0u，v=14)-Na体系碰撞诱导转动传能的微分干涉角

对原子-双原子体系碰撞诱导转动传能进行了进一步的理论研 究. 在含时一级波恩近似的基础上考虑各向异性相互作用势，计算了 单-叁重混合态的Na2(A1∑+u，v=8~b3Π0u，v=14)体系与Na碰撞 的微分干涉角(b·?和b??)，得到了微分干涉角与碰撞参数的关系，对 其碰撞量子干涉作出了定量准确的描述.     

单三重混合态Na2(A1∑+u,ν=8～b'3Ⅱ0u,ν=14)和Na碰撞传能的干涉相位角的计角

文章详细介绍了单三重混合态同核双原子分子Na2(A1∑+u,ν=8～b'3Ⅱ0u,ν=14)和Na碰撞传能的干涉相位角的理论计算方法.并且采用了两种不同的相互作用势(一种是长程吸引相互作用势,另一种是Lennard-Jones相互作用势),进行了具体的数值计算.在实验温度750 K下,计算积分干涉相位角,与实验值相差很小.干涉相位角的大小表明混合态体系碰撞传能中的量子干涉效应是不容忽视的.最后,分析了干涉相位角随着不同参数的变化关系,发现Na2 Na体系中,干涉相位角随各参数变化而变化,但变化不大.     

AB(~1∑,J)+C(~(S_1)l_(1i_1))→AB(~1∑,J′)+C(~(S_1)l_((1j_1)′))+C(~(S_2)l_((2j_2)′))中电子传能与转动传能的量子干涉(英文)

本文为了进一步在理论上对AB(~1∑,J) C(~(S_1)l_(1i_1))→AB(~1∑,J′) C(~(S_1)l_((1j_1)′)) C(~(S_2)l_((2j_2)′))的转动传能量子干涉进行研究,提出了理论模型,此模型对理解和进行实验是非常重要的.在含时一级波恩近似的基础上,考虑各向异性相互作用势,推导出衡量干涉程度的干涉角,并讨论完全干涉的情况,得到影响几率比的因素.     

单三重混合态Na2 (A1Σu+, v=8 ~ b3Π0u, v=14)和Na 碰撞传能的干涉相位角的计算

文章详细介绍了单三重混合态同核双原子分子Na2 (A1Σu+, v=8 ~ b3Π0u, v=14)和Na碰撞传能的干涉相位角的理论计算方法.并且采用了两种不同的相互作用势（一种是长程吸引相互作用势,另一种是Lennard-Jones 相互作用势）,进行了具体的数值计算.在实验温度750K下,计算积分干涉相位角,与实验值相差很小.干涉相位角的大小表明混合态体系碰撞传能中的量子干涉效应是不容忽视的.最后,分析了干涉相位角随着不同参数的变化关系,发现Na2 – Na体系中,干涉相位角随各参数变化而变化,但变化不大.     

AB(1∑,J)+C(S1l1i1)→AB(1∑,J'')+C(S1l1j1'')+C(S2l2j2'')中电子传能与转动传能的量子干涉

本文为了进一步在理论上对AB(1∑,J)+C(S1l1i1)→AB(1∑,J')+C(S1l1j1')+C(S2l2j2')的转动传能量子干涉进行研究,提出了理论模型,此模型对理解争进行实验是非常重要的.在舍时一级波恩近似的基础上.考虑各向异性相互作用势,推导出衡量干涉程度的干涉角,并讨论完全干涉的情况,得到影响几率比的因素.     

AB(~1∏,J)+C(~(s_1)l_(1j_1))→AB(~1∏,J′)+C(~(s_1)l_(1j_1)′)+C(~(s_2)l_(2j_2)′)电子和转动传能的电子量子干涉(英文)

在我们以前的理论研究中,给出了AB(1∏,J)+C(sli)→AB(1∏,J′)+C(slj′)碰撞诱导电子和转动传能的理论模型.为了进一步在理论上研究AB(1∏,J)+C(s1l1j1)→AB(1∏,J′)+C(s1l1j1′)+C(s2l2j2′)的电子和转动传能的电子量子干涉,以波恩奥本海默近似为基础,考虑各项异性Lennard-Jones相互作用势,给出了其理论模型.得出了衡量干涉程度的干涉角,对完全干涉的情况进行了讨论,得出了决定几率比的因素,此理论模型对理解和进行这种类型的实验是很重要的.     

AB(~1∏,J)+C(~(s_1)l_(1j_1))→AB(~1∏,J′)+C(~(s_1)l_(1j_1)′)+C(~(s_2)l_(2j_2)′)电子和转动传能的电子量子干涉

在我们以前的理论研究中,给出了AB(1∏,J) C(sli)→AB(1∏,J′) C(slj′)碰撞诱导电子和转动传能的理论模型.为了进一步在理论上研究AB(1∏,J) C(s1l1j1)→AB(1∏,J′) C(s1l1j1′) C(s2l2j2′)的电子和转动传能的电子量子干涉,以波恩奥本海默近似为基础,考虑各项异性Lennard-Jones相互作用势,给出了其理论模型.得出了衡量干涉程度的干涉角,对完全干涉的情况进行了讨论,得出了决定几率比的因素,此理论模型对理解和进行这种类型的实验是很重要的.     

Π态双原子分子Λ分裂引起的量子干涉

为了从理论上解释Sun等在CO(A1 Π ,v =3 )和He碰撞实验中转动传能截面的反常现象 ,考虑一级含时波恩近似、长程相互作用势和直线轨道近似 ,建立了Π态双原子分子由于Λ分裂引起量子干涉的理论模型 .运用这一理论模型 ,成功的解释了实验中碰撞伴为He时转动传能截面的反常现象 :σε→ε′△J =0 <σε→ε′△J =± 1 .首先介绍了碰撞诱导转动传能中量子干涉效应的研究进展 ,然后建立了Π态双原子分子由于Λ分裂引起量子干涉的理论模型 ,最后对所得结果进行了讨论     

Collision-induced Rotational Energy Transfer in an Atom-Diatom System

通过对原子-双原子体系碰撞诱导转动传能的理论研究,在含时一级波恩近似的基础上考虑各向异性相互作用势和长程相互作用势,计算了单叁混合态的CO A1Ⅱ(v=0)～e3∑-(v=1)和He、Ne、Ar碰撞的微分干涉角,并得到了微分干涉角与碰撞参数的关系.     

CN(X )系统碰撞转动传能中的量子干涉效应

在之前的研究中,已经对ＣＮ碰撞诱导转动传能中由于分裂引起的量子干涉效应进行了研究．为了进一步研究,本文讨论了微分干涉角．在一级波恩近似下,考虑各项异性相互作用势,及影响干涉的各个因素．定量计算了微分干涉角,及其随参数、温度的变化趋势．     

Further Study of A-Related Quantum Interference of П-State Diatomic on Collision-Induced Rotational Energy Transfer

In our previous theoretical studies [Meng-Tao Sun, Yong-Qing Lee, and Feng-Cai Ma, Chem. Phys.Lett. 371 (2003) 342], we have reported the quantum interference on collision-induced rotational energy transfer on CO (A1П, v = 3) with inert gases, which originates from the difference between the two A-related collision potential energy surfaces. The interference angle, which measures the degree of coherence, is presented in this paper. Based on the time-dependent first order Born approximation, taking into account the anisotropic Lennard-Jones interaction potentials, the relation of the interference angle with the factors, including experimental temperature, partner, and rotational quantum number, are obtained. The changing tendencies with them are discussed. This theoretical model is important to understanding and performing this kind of experiment.     

Collisional quantum interference on rotational energy transfer： physical interpretation of the differential interference angle

Collisional quantum interference （CQI） on the intramolecular rotational energy transfer is observed in an experiment with a static cell, and the integral interference angles are measured. To obtain more accurate information, an experiment with a molecular beam is carried out, and thereby the relationship between the differential interference angle and the scattering angle is obtained. Based on the first-Born approximation of time-dependent perturbation theory, the theoretical model of CQI is developed in an atom-diatom system in the condition of the molecular beam, with the long-range interaction potential taken into account. The method of measuring correctly the differential interference angle is presented. The tendencies of the differential interference angle changing with the impact parameter and rel- ative velocity are discussed. The theoretical model presented here is important for understanding or performing the experiment in the molecular beam.