X_α理论和应用的进展

以X_α理论为基础、主要于七十年代发展起来的X_α方法是一种较为新型的计算原子、分子和原子簇的电子结构的方法。这种理论方法的特点是:它对电子间的交换能采用了统计平均近似,用一个与电荷密度的立方根成正比的密度泛函代替了Hartree-Fock方程中的交换项,从而把传统的分子轨道方法中的近似求解精确的Hartree-Fock方程问题,转化为较为精确求解近似的Hartree-Fock方程——X_α方程——的问     

双原子分子激发态势能的自旋相关局域Hartree-Fock密度泛函理论方法

基于自旋相关局域Hartree-Fock (SLHF)势函数,本文提出了一种计算双原子分子激发态势能的密度泛函理论(DFT)方法,并将该方法应用于和的激发态势能曲线的计算。在只考虑交换能的情况下,本文的DFT计算结果与文献中精确方法和Hartree-Fock (HF)方法的结果符合的非常好,说明采用SLHF势函数作为交换势的DFT方法是一个很好的计算激发态势能的方法。本文还计算和探讨了电子的关联势函数和关联能,发现传统的近似方法在较大核间距的情况下大大低估了电子的关联能.     

Se7环两种构型的结构和红外振动光谱的理论研究

在从头算层次上采用自洽场Hartree-Fock(SCF-HF)与密度泛函理论(DFT) 的定域自旋密度泛函SVWN和杂化泛函B3LYP方法以及6-31+G(d)基组,计算优化了Se7环cha ir和boat两种分子构型。以B3LYP/6-31+G(d)优化的结构为基础,计算了Se7环两种构型 的红外振动光谱,标定了这两种构型的各个简谐振动模式的对称性。计算结果与前人的理论 、实验数据进行了比较。     

闪锌矿GaN弹性性质、电子结构和光学性质外压力效应的理论研究

采用基于密度泛函理论(DFT)的第一性原理平面波赝势方法,结合广义梯度近似(GGA)下的RPBE和局域密度近似(LDA)的CA-PZ交换-关联泛函对闪锌矿结构的GaN在高压的性质进行了系统研究. 计算结果表明:弹性常数、体模量、杨氏模量和能隙都具有明显的外压力效应,计算结果与实验值和理论值很好的符合. 同时利用计算的能带结构和态密度系统分析了GaN的介电函数、折射率、反射率、吸收系数和能量损失函数等光学性质及其外压力效应. 分析结果为GaN的设计与应用提供了理论依据. 关键词： 第一性原理计算 电子结构 光学性质 闪锌矿GaN     

Density Functional Study on Relative Energies, Structures, and Bonding of Low-lying Electronic States of Lutetium Dimer

用密度泛函理论方法研究了镥二聚体(Lu₂)低能量电子态的性质,计算了电子态相对能量、平衡键长、振动频率以及基态解离能,考察了密度泛函性质、相对论有效势种类以及Hartree-Fock交换作用大小对计算结果的影响．结果表明,无论采用何种密度泛函和相对论有效势,体系的基态都为三重态,与其他一些基于分子轨道理论的从头计算方法得到的结论是一致的．另外,与分子轨道从头计算结果以及实验结果比较发现,采用杂化密度泛函理论和Stuttgart小核有效势计算得到的结果总体吻合最好．最后,特别分析研究了B3LYP计算中Hartree-Fock交换作用大小对基态键长和基态解离能的影响,发现随着交换作用的增大,键长增长,解离能减小,这是由于5d轨道杂化导致的共价成键作用减弱造成的．     

溴氯甲烷分子最高占有轨道的电子动量谱学研究

本文首次报道了溴氯甲烷(CH2BrCl)分子在电子入射能为1200 eV 束缚能时价壳层的电离能谱和最高占有轨道的电子动量分布.实验结果与Hartree-Fock(HF)方法和密度泛函理论(DFT)计算进行了比较,表明大基组的密度泛函理论与实验符合较好.     

二乙酰分子最高占据轨道10ag的电子密度

本文报导了在高分辨率电子动量谱仪上获得的药物分子二乙酰(CH3COCOCH3)电子动量谱的实验结果, 并与用Hartree-Fock方法和密度泛函方法(DFT)理论计算所得的结果做了比较.     

二乙酰分子最高占据轨道10ag的电子密度

本报导了在高分辨率电子动量谱仪上获得的药物分子二乙酰(CH3COCOCH3)电子动量谱的实验结果，并与用Hartree-Fock方法和密度泛函方法(DFT)理论计算所得的结果做了比较。     

F22分子6a′, 4a″和3a″轨道的电子动量谱研究

在1 200 eV入射能量下测量了F22分子轨道6a′, 4a″和3a″的电子动量谱, 并与用Hartree-Fock和密度泛函方法选取不同基组的理论计算结果进行了比较.     

加压下ZnO结构相变和电子结构的第一性原理计算

基于密度泛函(DFT)理论的第一性原理,计算半导体ZnO纤锌矿结构和岩盐矿结构状态方程及其在高压下的相变,分析加压下体相ZnO的晶格常数、电子态密度和带隙随压力的变化关系,并将计算结果与文献中的理论和实验数据进行比较.验证在计算金属氧化物时,应用局域密度(LDA)近似计算出的相变压力普遍偏高,采用广义梯度(GGA)近似得到的结果与实验符合较好.     

First-principles LCAO study of phonons in NiWO<Subscript>4</Subscript>

The electronic, structural and phonon properties of antiferromagnetic wolframite-type NiWO₄ have been studied using first-principles spin-polarized LCAO calculations based on the hybrid Hartree-Fock (HF)/density functional (DFT) scheme. The influence of different percentages of HF contribution, i.e. different correlation strength, on the structure and phonon frequencies has been investigated and compared with the available experimental data.     

Electron momentum spectroscopy of the highest occupied molecular orbitals of chlorobromomethane

The first measurement of the complete valence shell binding energy spectra of chlorobromomethane (CH₂ BrCl) is reported by (e, 2e) electron momentum spectrometer using symmetric non-coplanar geometry at an impact energy of 1200 eV plus binding energy. The experimental electron momentum profiles of the highest occupied molecular orbitals (HOMOs) are extracted and compared with Hartree-Fock (HF) and density functional theory (DFT) calculations. DFT calculation employing B3LYP hybrid functional and the large-sized basis sets provides the best agreement with the experiment.     

胸腺嘧啶分子表面增强拉曼光谱的密度泛函理论和从头计算研究

采用量子化学B3LYP(含电子相关效应的杂化密度泛函)方法和HF(Hartree-Fock, 哈特利-福克)方法,在6-31+G**(C,H,N,O)/LANL2DZ(Ag)水平上,对TH(Thymine, 胸腺嘧啶)分子进行了几何结构优化,计算了TH分子的NRS(normal Raman scattering, 常规拉曼散射)光谱和TH与Ag原子以及Ag₂团簇吸附的SERS(surface-enhanced Raman scattering, 表面增强拉曼散射)光谱,并将两种理论方法计算的结果和实验值进行比较。结果表明：对于NRS光谱,采用DFT方法的计算结果比HF方法的计算结果更符合已有实验值;而对于SERS光谱,采用HF方法的计算结果更好。最后,通过GaussView可视化软件,对TH分子的振动频率进行了更为全面地归属。     

Electronic structure and driving forces in α-cyclodextrin:butylparaben inclusion complexes

We investigate the geometry and electronic structure for complexes of α-cyclodextrin with butylparaben using DFT and Hartree-Fock calculations. The effect of solvent is explicitly taken into account. A Morokuma-Kiatura analysis of the bond energy is performed. We emphasize the role of the water, by pointing out the changes in the solvent's electronic structure for different docking geometries.     

Phonon vibrational frequencies and elastic properties of solid SrFCl. An ab initio study

The phonon vibrational frequencies, electronic and elastic properties of SrFCl, one of the members of the alkaline-earth fluorohalide family crystallizing with the PbFCl-type structure, have been investigated, for the first time, at the ab initio level, by using the periodic CRYSTAL program. Both Hartree-Fock (HF) and density functional theory (DFT) Hamiltonians have been used, with the latter in its local density, gradient-corrected (PW91), and hybrid (B3LYP) versions. The structural and elastic properties are in good agreement with experiment, with the exception of those calculated within the local density approximation, which were found to be systematically under-estimated (distances) or over-estimated (elastic properties). As regards the phonon frequencies, B3LYP and PW91 provide excellent results, the mean absolute difference with respect to the experimental Raman data being 4.1% and 3.6%, respectively.     

Extended Hartree—Fock (EHF) theory of chemical reactions VI: hybrid DFT and post-Hartree—Fock approaches for concerted and non-concerted transition structures of the Diels—Alder reaction

Activation barrier heights for concerted and non-concerted transition structures between butadiene and ethylene have been calculated by the broken-symmetry Hartree-Fock (HF), QCISD(T), and CCSD(T) methods with and without approximate spin projection, and the spin-restricted CASCI, CASSCF UNO MP2 and MR MP2 methods. They also have been calculated by the density functional theory (DFT) and hybrid DFT (HDFT) methods such as B2LYP and B3LYP. The reliability and utility of the HDFT methods have been investigated, and compared with the post-HF and MR MP2 results. The information entropy and related electron correlation indices also have been examined in relation to the polyradical character of the transition structures. Implications of the present results are discussed concerning the applicability of HDFT to large systems.     

Fractional-charge and fractional-spin errors in range-separated density-functional theory

ABSTRACT

We investigate fractional-charge and fractional-spin errors in range-separated density-functional theory (DFT). Specifically, we consider the range-separated hybrid (RSH) method which combines long-range Hartree-Fock (HF) exchange with a short-range semilocal exchange-correlation density functional, and the RSH+MP2 method which adds long-range, second-order Møller-Plesset (MP2) correlation. Results on atoms and molecules show that the fractional-charge errors obtained in RSH are much smaller than in the standard Kohn-Sham (KS) scheme applied with semilocal or hybrid approximations, and also generally smaller than in the standard HF method. The RSH+MP2 method tends to have smaller fractional-charge errors than standard MP2 for the most diffuse systems, but larger fractional-charge errors for the more compact systems. Even though the individual contributions to the fractional-spin errors in the H atom coming from the short-range exchange and correlation density-functional approximations are smaller than the corresponding contributions for the full-range exchange and correlation density-functional approximations, RSH gives fractional-spin errors that are larger than in the standard KS scheme and only slightly smaller than in standard HF. Adding long-range MP2 correlation only leads to infinite fractional-spin errors. This work clarifies the successes and limitations of range-separated DFT approaches for eliminating self-interaction and static-correlation errors.     

Molecular structure,vibrational spectroscopic studies and natural bond orbital analysis of 7-amino-4-trifluoromethyl coumarin

Quantum mechanical calculations of energies, geometries and vibrational wave numbers of 7-amino-4-trifluoromethyl coumarin (7A4TFMC) were carried out using Hartree-Fock (HF) and density functional theory (DFT) using hybrid functional BLYP and B3LYP with 6–31G(d,p) as basis set. The optimized geometrical parameters obtained by HF and DFT calculations are in good agreement with the experimental X-ray data. The best method to reproduce the experimental wave numbers is B3LYP method with the 6–31G(d,p) basis set. The difference between the observed and scaled wave number values of most of the fundamentals is very small. A detailed interpretation of the infrared spectra of 7A4TFMC was also reported. The entropy of the title compound was also performed at HF using the hybrid functional BLYP and B3LYP with 6–31 G(d,p) as basis set levels of theory. Natural bond orbital (NBO) analysis of the title molecule is also carried out. The theoretical spectrogram for FTIR spectra of the title molecule has been constructed.