反散射理论导出极低能量下的e-He相互作用势

以入射能量为２ｅｙ的ｅ－Ｈｅ弹性散射微分截面的实验数据为基础，运用反散射方法，理论上导出了ｅ－Ｈｅ的相互作用势。用这样的相互作用势计算能量为２和５ｅｖ时的弹性微分截面。所得结果表明，ＷＫＢ反散射方法对极低能情况是失效的，但量子反散射方法仍然非常成功。在极低能情况下，量子反散射方法得到的ｅ－Ｈｅ相互作用势是实数和定域的，呈现出强Vａｎ ｄｅｒ Ｗａａｌｓ势的特征，能给出符合实验数据的结果。     

反散射理论应用于e－H＿2O碰撞

运用反散射方法研究了ｅ－Ｈ＿２Ｏ碰撞。从ｅ－Ｈ＿２Ｏ弹性散射微分截面的实验数据出发，运用反散射方法，ｅ－Ｈ＿２Ｏ相互作用的球平均势已被导出，它是复数的，而且含有非定域的成分。所得的势能给出非常符合实验数据的结果。     

反散射理论应用于e-H2O碰撞

运用反散射方法研究了ｅ－Ｈ₂Ｏ碰撞。从ｅ－Ｈ₂Ｏ弹性散射微分截面的实验数据出发，运用反散射方法，ｅ－Ｈ₂Ｏ相互作用的球平均势已被导出，它是复数的，而且含有非定域的成分。所得的势能给出非常符合实验数据的结果。 关键词：     

一种不含自由参数的正电子吸收势

在准自由电子气模型的基础上得到一种不含自由参数的正电子吸收势，把它作为光学势的虚部，计算了能量在最小非弹性阀值到１００ｅＶ范围内正电子被Ｈｅ、Ｎｅ、Ａｒ原子散射的总截面和能量为２００ｅＶ和３００ｅＶ时的散射微分截面，计算结果与实验进行了比较。     

氦原子与H2、D2、T2分子碰撞角分布的理论计算

采用Ｔａｎｇ－Ｔｏｅｎｎｉｅｓ势模型,用密耦法求解散射方程,计算了入射能量Ｅ＝０．０５ｅＶ时,００－００,００－０２转动激发截面,进而计算了Ｈｅ－Ｈ２,Ｈｅ－Ｄ２和Ｈｅ－Ｔ２碰撞的角分布。     

慢电子与He和Ne原子弹性碰撞的极化作用及散射截面计算

本文对慢电子与原子碰撞的一种常用的极化势模型进行了修正，使其在近区描述的入射电子使靶原子的极化作用更符合实际。用此修正后的极化势，在０．２－３０ｅＶ能量范围内，本文还计算了电子被Ｈｅ和Ｎｅ原子弹性散射的总截面和微分散射截面。结果有很大改进，与实验符合得较好，说明本文的极化势修正是合理的。     

电子与锂和铍原子碰撞角分布的理论研究

用模型势方法研究电子与锂和铍原子弹性散射，计算了能量从０．１到１．０ｅＶ散射电子的角分布（微分散射截面），从理论计算中，看到在０．１－１．０ｅＶ能区内，随入射电子能量增加，电子被Ｌｉ和Ｂｅ原子散射的微分截面有相似变化，即小角微分散射截面越来越大     

低能He—H2（D2,T2）碰撞分波截面的计算

采用Ｔａｎｇ－Ｔｏｅｎｎｅｓ势模型，当入射氨原子能量是Ｅ＝０．０５ｅＶ，计算了Ｈｅ－Ｈｅ－Ｈ２（Ｄ２，Ｔ２）弹性分波截面和非弹性激发分波截面随量子数的变化。     

Ne-HCl相互作用势及微分散射截面的研究

使用Huxley解析势能函数拟合在CCSD(T)/aug-cc-pV5Z-33211理论水平下精确计算的相互作用能数据,得到了Ne-HCl复合物的相互作用势.在此基础上,我们首次完成了入射能量分别为40,60,75和100 meV时,Ne-HCl碰撞微分散射截面的密耦计算,并获得了总微分截面、弹性微分截面和转动激发微分截面随散射角变化的趋势.我们希望计算结果能对Ne-HCl散射的实验和理论研究提供参考信息.     

中高能电子和N_2（~1∑_g~＋）、CO（~1∑~＋）弹性散射全截面的计算

此文采用由原子轨道线性组合构成的自洽场分子轨道（ＳＣＦ－ＬＣＡＯ－ＭＯ），用一级玻恩近似（ＦＢＡ）计算了能量为１００－５０００ｅＶ的电子与弹性散射的微分截面和全截面。由于采用了Ｇａｕｓｓ函数的线性组合拟合Ｓｌａｔｅｒ函数的方法（ＳＴＯ－ＫＧ），得到了弹性散射微分截面的解析表达式，使计算大大简化。计算得到的电子和Ｎ２，ＣＯ散射的总截面和实验结果进行了比较，当入射电子的能量大于１ｋｅＶ时，理论值和实验值之间符合得很好。     

Elastic scattering of electrons from water molecule

This paper uses the momentum--space optical potential method to calculate the e--H₂O scattering elastic cross sections at the energy range from 6 eV to 50 eV, and the differential cross sections in the angle from 0° to 180° at 40 eV and 50 eV. The polarisation is taken into account via an emphab initio equivalent-local potential. The cross sections are compared with experimental measurements and other theoretical calculations.     

He-N2碰撞体系散射截面的理论研究

本文运用量子化学从头计算MP2方法6-311 G(3df,2p)基组,计算了He-N2相互作用的势能,拟合出He原子与N2分子相互作用的各向异性势函数,其势函数参数:势能球平均势阱位置、势阱深度、势能零点位置与通过散射实验数据分析的ESMSV(Exponential-Spline-Morse-Spline-Van der waals)势比较吻合.然后,用公认精确度高的密耦方法计算了He原子与N2分子碰撞体系的总微分截面、弹性微分截面、转动激发的非弹性微分截面和积分截面,计算结果与实验数据符合得较好.     

Differential, elastic integral and moment transfer cross sections for electron scattering from N2 at intermediate- and high-energies

A complex optical model potential modified by incorporating the concept of bonded atom, with the overlapping effect of electron clouds between two atoms in a molecule taken into consideration, is firstly employed to calculate the differential cross sections, elastic integral cross sections, and moment transfer cross sections for electron scattering from molecular nitrogen over the energy range 300—1000eV by using additivity rule model at Hartree—Fock level. The bonded-atom concept is used in the study of the complex optical model potential composed of static, exchange, correlation polarization and absorption contributions. The calculated quantitative molecular differential cross sections, elastic integral cross sections, and moment transfer cross sections are compared with the experimental and theoretical ones wherever available, and they are found to be in good agreement with each other. It is shown that the additivity rule model together with the complex optical model potential modified by incorporating the concept of bonded atom is completely suitable for the calculations of differential cross section, elastic integral cross section and moment transfer cross section over the intermediate- and high-energy ranges.     

基态S和D原子的低能弹性碰撞及SD(X~2Ⅱ)自由基的准确相互作用势与分子常数

使用Gaussian03程序包提供的CCSD(T)理论及Duning等的相关一致基cc-pVnz和aug-cc-pVnZ(n=2,3,4,5),对SD(X~2Ⅱ)自由基的平衡核间距、谐振频率及相互作用势进行了计算,并拟合出了相应的光谱常数.在CCSD(T)/aug-cc-pV5Z理论水平下,光谱常数D_0,D_e,D_e,R_e,ω_e.a_e,B_o及B_e的值分别为3.65730 eV,3.77669 eV,0.13424 cm~(-1),1938.372 cm~(-1),0.09919 cm~(-1),4.88585 cm~(-1)和4.8872 cm~(-1),均与已有的实验结果相符很好.利用在CCSD(T)/aug-cc-pv5Z理论水平下获得的相互作用势,在绝热近似下通过数值求解双原子分子核运动的径向薛定谔方程,找到了J=0时SD(X~2Ⅱ)自由基的全部23个振动态,完整地求出了每一振动态的振动能级及相应的经典转折点、惯性转动常数和离心畸变常数;在1.0×10~(-11)-1.0×10~(-4)a.u.的碰撞能区内通过数值求解原子.原子散射的径向薛定谔方程,研究了基态S原子和基态D原子沿sD(X~2Ⅱ)相互作用势的弹性碰撞,计算了这一弹性碰撞的总截面和各分波截面,分析了各分波截面对总截面的影响.结果表明:总截面的形状主要由S分波截面决定,尽管直到l=4的各分波截面均有形状共振存在,但由于其强度都较弱,全部被湮没在较强的总弹性截面中.

Abstract：

The equilibrium internuclear separations, harmonic frequencies and interaction potentials have been calculated by employing the CCSD(T) theory in combination with the series of the correlation-consistent basis sets, cc-pVnZ and aug-ce-pVnZ (n = 2, 3, 4, 5), of Dunning and co-workers. The potential energy curves are all fitted to the Murrell-Sorbie functions, which are used to determine the spectroscopic parameters. At the CCSD(T)/aug-cc-pV5Z level of theory, the values of D_0, D_e, R_e, w_e, a_e,B_0 are 3.65730 eV, 3.77669 eV, 0.13424 cm~(-1), 1938.372 cm~(-1), 0.09919 cm~(-1) , 4.88585 cm~(-1) and 4.8872 cm~(-1), respectively, which conform almost perfectly with the available measurements. With the analytic interaction potential obtained at the CCSD(T)/aug-cc-pV5Z level of theory, a total of 23 vibrational states has been predicted for the first time when the rotational quantum number J is set to equal zero (J = 0) by solving the radial Schrodinger equation of nuclear motion. The complete vibrational levels, classical turning points, inertial rotation and centrifugal distortion constants are reproduced from the SD (X~2Ⅱ) potential when J = 0. The total and various partial-wave cross sections are calculated for the elastic collisions between the ground-state S and D atoms at energies from 1.0 × 10~(11) to 1.0 × 10~(-4) a.u. when the two atoms approach each other along the SD(X~2Ⅱ) interaction potential. No shape resonances can be found in the total elastic cross sections. The results show that the shape of the total elastic cross sections is mainly dominated by the s-partial wave at very low temperatures. Because of the weakness of the shape resonances coming from various partial waves, they are all covered up by the strong total elastic cross sections.     

Elastic scattering of electrons by europium and ytterbium atoms

The method of relativistic optical potential is applied to studying elastic scattering of electrons by europium and ytterbium atoms in a wide range of collision energies up to 2 keV. The angular dependences of the scattering differential cross sections and the energy dependences of the scattering integral (total, elastic, momentum transfer, and viscosity) cross sections are calculated in both spin-polarized and spin-unpolarized approximations. It is shown that the spin-polarized approximation should be used to calculate the scattering cross sections at energies below 10 eV for a europium atom. The low-energy scattering of an electron by a europium atom is characterized by P-, D-, and F-wave shape resonances. For an ytterbium atom, the calculated cross sections are in good agreement with available experimental data and with those obtained by calculation in terms of the relativistic convergent close-coupling method.     

Momentum-space calculation of electron-CO elastic collision

We report a momentum-space study on low-energy electron-CO collisions.Elastic differential cross sections(DCS) are obtained using a static-exchange-optical(SEO) model for the incident energies of 2,3,5,and 10 eV.Polarization effect of higher reaction channels,including the ionization continuum,on the elastic collision is represented by an ab initio equivalent-local optical potential.The cross sections are compared with experimental measurements and other theoretical results.     

低能He-H2(D2,T2)碰撞分波截面计算

采用Tang Toennes势模型 ,当入射氦原子能量是E =0 .0 5eV时 ,计算了He -H2 (D2 ,T2 )弹性分波截面和非弹性激发分波截面随量子数的变化。     

中高能电子被O2及CF4分子散射的微分截面、弹性积分截面及动量转移截面

利用可加性规则，使用Roothaan-Hartree-Fock波函数，采用由束缚原子概念修正过的复光 学势，在300—1000eV内若干个能量点处计算了电子被O₂及CF₄分子 散射的微分截面、 弹性积分截面及动量转移截面，并将计算结果与实验结果及其他理论计算结果进行了比较. 比较的结果表明，利用被束缚原子概念修正过的复光学势及可加性规则进行计算，所得微分 散射截面的精度要比利用未修正的复光学势及可加性规则进行计算得到的结果准确得多；同 时，计算得到的弹性积分截面及动量转移截面也比较接近实验值.因此，在复光学势中采用 束缚原子概念可提高电子被分子散射的微分截面、弹性积分截面及动量转移截面的计算准确 度. 关键词： 电子散射 可加性规则 微分截面 弹性积分截面