LiH分子X 1Σ+、 A 1Σ+和B 1Π态的势能函数

利用SAC/SAC-CI方法,使用D95(d)、6-311G**及cc-PVTZ等基组,对LiH分子的基态(X1Σ+)、第一激发态(A1Σ+)及第二简并激发态(B1Π)的平衡结构和谐振频率进行了优化计算.通过对三个基组的计算结果的比较,得出了D95(d)基组为三个基组中的最优基组的结论;使用D95(d)基组,利用SAC的GSUM(GroupSumofOperators)方法对基态(X1Σ+)、SAC-CI的GSUM方法对激发态(A1Σ+和B1Π)进行单点能扫描计算,用正规方程组拟合Murrell-Sorbie函数,得到了相应电子态的完整势能函数;从得到的势能函数计算了与基态(X1Σ+)相对应的光谱常数,结果与实验数据较为一致.     

Li2分子X^1∑g^＋，A^1∑u^＋和B^1Пu态的势能函数

使用SAC／SAC-CI方法，利用D95、D95(d)、6-311g以及6-311g(d)等基组，对Li2分子的基态(X^1∑g^ )、第一激发态(A^1∑u^ )及第二激发态(B^1Пu)的平衡结构和谐振频率进行了优化计算。通过对四个基组的计算结果的比较，得出了D95(d)基组为四个基组中的最优基组的结论；使用D95(d)基组，利用SAC的GSUM(Group Sum of Operators)方法对基态(X^1∑g^ )、SAC-CI的GSUM方法对激发态(A^1∑u^ 和B^1Пu)进行单点能扫描计算，用正规方程组拟合Murrell-Sorbie函数，得到了相应电子态的完整势能函数；从得到的势能函数计算了与基态(X^1∑g^ )、第一激发态(A^1∑u^ )和第二激发态(B^1Пu)相对应的光谱常数(Be,ae，ωe和ωeχe)，结果与实验数据较为一致。其中，基态、第一激发态与实验数据吻合得非常好。     

Li2分子自旋一致激发态a3Σ+u和b3Πu的分析势能函数的从头算

使用对称性匹配簇-组态相互作用方法首次计算了Li₂分子自旋一致激发态a³Σ⁺_u和b³Π_u的离解能、平衡几何及其谐振频率。使用最小二乘法、利用Murrell-Sorbie函数形式拟合出了Li₂分子三重态的第一激发态a³Σ⁺_u 和第二激发态b³Π_u的完整势能函数，并计算了这两个态的光谱常数 (B_e, α_e, ω_e 和 ω_eχ_e) 和力常数 (f₂, f₃和f₄)。得到了Murrell-Sorbie函数形式既适用于基态、又适用于激发态的结论。将计算得到的激发态（a³Σ⁺_u和b³Π_u）的离解能、平衡几何及其谐振频率与实验结果及其它理论计算结果进行了比较。从比较的结果中可以清楚地看出，本文的计算结果在计算精度方面有很大的改进。     

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     

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.     

Electron scattering from molecule CH4 at 10-5000eV

Electron scattering from molecules in the intermediate- and high-energy range is investigated employing the developed semi-empirical formula for electron scattering from diatomic molecules. Total cross sections of e-CH4 scattering are obtained over an incident energy range of 10--5000eV. The results agree well with other available experimental and theoretical data. According to our formula, some quantitative information of single Yukawa potential are also obtained.     

Ab initio calculations on accurate dissociation energy, equilibrium geometry, and analytic potential energy function for the 6~3Π state of ~7LiH molecule

The accurate dissociation energy and equilibrium geometry of the 63Π state of 7LiH molecule is calculated using a symmetry-adapted-cluster configuration-interaction method in full active space. And the calculated results are 0.2580 eV and 0.1958 nm for the dissociation energy and equilibrium geometry, respectively. The whole potential energy curve for the 63Π state is also calculated over the internuclear separation range from about 0.10 to 0.54 nm. The results are fitted by the Murrell-Sorbie function. It is found that the Murrell-Sorbie function form, which is mainly used to fit the ground-state potential energy function, is well suitable for the excited triplet b3Π state. The vertical excitation energy from the ground state to the 63Π state is calculated to be 4.233 eV. Based on the analytic potential energy function, the harmonic frequency of 610.88 cm-1 about this state is firstly estimated. Compared with other theoretical results, this work is the most complete effort to deal with the analytic potential energy function and the harmonic frequency of this state.     

激光辐照下固体材料的温度分布理论研究

 考虑到有限厚介质的表面热对流，利用格林函数方法理论计算了强激光作用下介质材料的3维温度分布，给出了温升与材料尺寸的关系式及其关系曲线。以单晶硅材料为例进行了模拟计算，结果表明：温升不仅与材料本身的性质（热容，热导率，密度）密切相关，而且还与材料的吸收系数，激光加热参数（功率密度，能量分布，光斑大小，作用时间），以及对流换热系数有关。在激光照射的初始阶段，材料表面温度迅速增加；其后，随着激光照射时间的增加，温度增加量逐步变缓。     

应用CASSCF方法精确计算OH分子 A(2)^Σ^(+) 态势能曲线

应用 Gaussian03 程序包中提供的完全活性空间自洽场 (CASSCF) 方法, 采用多种标准基组对 OH 分子A(2)^Σ^(+)态的几何结构进行了优化和势能曲线计算、并将计算结果拟合成了解析的 Murrell-Sorbie 函数。利用得到的解析势能函数进一步计算了该态的光谱常数，并与实验结果进行了比较。此外，本文还给出了一种新的活性空间的选择方法。     

Total cross sections for scattering of electrons from O2, H2O, H2, O3, CO and CO2 at 100－2000eV

A complex optical model potential rewritten by the concept of bonded atom, which considers the overlap of electron clouds, is employed to calculate the total cross sections for electron scattering from several simple molecules (O_2, H_2O, H_2, O_3, CO and CO_2) consisting of C, H and O atoms in an incident energy range of 100－2000eV by the use of the additivity rule at Hartree－Fock level. In the study, the complex optical potential composed of static, exchange, correlation polarization plus absorption contributions firstly uses the bonded-atom concept. The quantitative molecular total cross section results are compared with experimental data and with the other calculations wherever available and good agreement is obtained. It is shown that the additivity rule along with the complex optical model potential rewritten by the concept of bonded atom can be used successfully to calculate the total cross section of electron－molecule scattering above 100eV, whereas the rule together with the complex optical model potential not rewritten by the concept of bonded atom is only successfully used above 300－500eV. So, the introduction of the bonded-atom concept in the complex optical potential can improve the accuracy of the total cross section calculations.