聚对苯乙炔的能带结构和关联能计算

在考虑电子-电子相互作用情况下,对基态非简并聚合物聚对苯乙炔(PPV)的长程关联能进行了理论计算,并用长程关联能对带隙进行修正,最后讨论了长程关联能对带隙的影响.在对PPV链的计算中发现,长程关联能先会随着链长N的增加而减小,但当链长大于10个PPV单元后,长程关联能会达到饱和.与由Hartree-Fock(HF)方法所得的能隙宽度比.长程关联能的修正会使得能隙降低,这种修正后的能隙宽度与实验结果一致.     

聚对苯乙炔的能带结构和关联能计算

在考虑电子-电子相互作用情况下,对基态非简并聚合物聚对苯乙炔（PPV）的长程关联能进行了理论计算,并用长程关联能对带隙进行修正,最后讨论了长程关联能对带隙的影响。在对PPV链的计算中发现,长程关联能先会随着链长N的增加而减小,但当链长大于10后长程关联能会达到饱和。在链长为20个单元的PPV计算中,长程关联能的修正会降低由Hartree-Fock(HF)方法所得的能隙宽度。修正后的能隙宽度能很好的接近实验结果。     

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.     

激发态过程的多体理论方法

描述多电子体系的绝大部分参量可实验测量,如吸收光谱、发光光谱和激子效应等,都涉及电子激发态的正确描述。密度泛函理论(DFT)框架内的局域密度近似(LDA)作为第一性原理基态理论,即基于Kohn-Sham方程的解,是研究多粒子体系基态性质非常有力的工具。然而,体系激发态的第一性原理理论及其计算要比基态的理论计算复杂得多。关键问题在于描写基态和激发态时,粒子间的交换关联相互作用并不相同,而对于非均匀相互作用多粒子体系的交换关联能至今仍不清楚。不过,近年来关于激发态问题的研究,先后发展了许多描述电子激发态的理论,最重要的是基于准粒子概念和Green函数方程的多体微扰理论和含时间密度泛函理论(TDDFT)以及与此相关的描述电子-空穴相互作用的Bethe-Salpeter方程在凝聚态物理问题中的应用。其中最关键的物理量是粒子的自能算符Σ,它描述Hartree近似之外的交换和关联效应。虽然这些理论不可避免地也要引入某些近似,如对于Σ的一个好的近似就是Hedin的GW近似方法。对许多实际凝聚态体系的计算机模拟结果表明,GW近似是描述激发态问题相当成功的理论方法。将Hartree-Fock(HF)理论与LDA相结合,但采用非局域屏蔽交换代替HF方法中的局域非屏蔽交换相互作用,建立广义的KS方程(GKS),得到所谓屏蔽交换局域密度近似(sX-LDA)方法。我们在平面波自洽场方法PWscf程序包的基础上,发展了PW scf-sX-LDA方法,也是处理激发态问题及材料设计的有效方法。将评述激发态过程多体理论各种方法的发展和意义,讨论这些多体理论方法之间的联系和差异,并在此基础上介绍它们在解决半导体带带跃迁(或带隙偏小问题)、半导体及其微结构中的激子效应等重要领域的应用和成果。     

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。     

Ⅱ-Ⅵ族化合物原子间两体势的第一性原理研究

本文采用基于第一性原理的Hartree-Fork (HF)方法和密度泛函理论(DFT)计算了CdS、CdSe、CdTe、HgTe等Ⅱ-Ⅵ族化合物的两体相互作用势,并与实验数据进行了比较.分析了计算中基组对计算结果的影响,以及各种近似方法的优缺点.采用Lennard-Jones势、Born-Mayer势和Morse势函数分别对势能值进行拟合,结果表明采用Morse势拟合的势能曲线与计算结果符合最好,说明普遍应用于共价分子的Morse势也同样适用于对Ⅱ-Ⅵ族二聚体的两体势描述.     

碱土金属原子与Ne原子间相互作用势的理论计算

本文基于无任何可调参数的势模型计算了碱土金属原子(Be、Mg、Ca、Sr、Ba)与Ne原子间相互作用势,得到的势能曲线及势阱位置和深度与现有的从头计算结果符合较好.本文的计算结果进一步验证了碱土金属原子与稀有气体原子间交换能主要来自碱土金属原子最外层s电子与稀有气体原子最外层p电子之间的交换作用.     

聚乙炔的能带结构和长程关联能的计算

本文计算了在考虑电子-电子Coulomb相互作用情况下的导电聚合物聚乙炔的长程关联能（分周期边界条件和自然边界条件两种情况），与用其它方法得到的结果进行比较，结果符合很好，并且讨论了关联能对带隙的影响。     

Cu2团簇分子的垂直电离势和电子亲合能的理论计算

利用含有电子相关效应校正的密度泛函理论DFT中的 B3LYP 方法,选择LANL2DZ双ζ基组,对Cu2分子及其分子离子的势能函数进行理论研究.计算得到Cu2,Cu+2,Cu2+2,Cu-2和Cu2-2基电子状态分别是1Σg+,2Σg, 1Σu, 2Σu和1Σg,导出了相应的分子及分子离子的解析势能函数,并计算出Cu2分子的垂直电离势和电子亲合能.计算结果与实验值吻合得较好.     

One-body potential theory of molecules and solids modified semiempirically for electron correlation

The study of Cordero, March and Alonso (CMA) for four spherical atoms, Be, Ne, Mg and Ar, semiempirically fine-tunes the Hartree-Fock (HF) ground-state electron density by inserting the experimentally determined ionization potentials. The present Letter, first of all, relates this approach to the very recent work of Bartlett ‘towards an exact correlated orbital theory for electrons’. Both methods relax the requirement of standard DFT that a one-body potential shall generate the exact ground-state density, though both work with high quality approximations. Unlike DFT, the CMA theory uses a modified HF non-local potential. It is finally stressed that this potential generates also an idempotent Dirac density matrix. The CMA approach is thereby demonstrated to relate, albeit approximately, to the DFT exchange-correlation potential.     

A TDDFT study on the hydrogen-bonding effect on ESIPT mechanism for [2,2′-bipyridyl]-3,3′-diol-(H2O) n (n = 0, 1, 2) clusters: single or double?

The excited-state intramolecular proton transfer (ESIPT) mechanisms of [2,2′-bipyridyl]-3,3′-diol (BP(OH)₂) in gas are studied by using density functional theory (DFT) and time-dependent density functional theory (TDDFT) methods. The intramolecular hydrogen bond (H-bond) is strengthened in the first excited-state in view of the structural parameters and infrared (IR) vibrational frequencies. The enhanced intramolecular H-bond is favourable for ESIPT process. The effect of the extra intermolecular H-bond between BP(OH)₂ and water on ESIPT is considered. The potential energy surfaces, molecular electrostatic potential, topological analysis, frontier molecular orbitals, absorption and fluorescence spectra are investigated. Our calculated results show that the intermolecular H-bond enhances the intramolecular H-bond, changes the mechanism and decreases the barrier height of ESIPT process.     

Channeling radiation of electrons and positrons in diamond and silicon at intermediate energies: Theory and experiment

Both positron and electron channeling radiation peak energies corresponding to the planar channels in diamond and silicon are calculated and compared with experimental ones at particle energies of 28-56 MeV. The potential model used is an approximate form of the Hartree-Fock potential, proposed in our previous works. The obtained results are in good agreement with experiment.     

一种适用于原子团簇的多体展开新方案: 以氮团簇为例

多体展开方法虽然已经广泛地用于估算弱相互作用体系的能量,但是其并不适用于计算共价团簇和金属团簇的能量. 本文提出了一种适用于计算共价体系能量的相互作用多体展开(IMBE)方法. 在相互作用多体展开方法中,体系的能量表示为孤立原子的能量及该原子与其他周围原子间相互作用的和. 首先将该方法应用于计算氮团簇的能量,且多体展开截断至四体项. 结果表明：与传统的多体展开方法相比,相互作用多体展开方法可以显著地降低能量误差. 另外,以密度泛函理论计算结果为参考,相互作用多体展开方法估算能量的误差不依赖于体系的大小和结构,说明相互作用多体展开方法比较适合用于估算共价相互作用大体系的能量.     

Calculation of atomic and molecular photoionization cross sections using the ground state inversion potential method

Calculations of atomic photoionization cross sections to near Hartree-Fock accuracy can be achieved very simply if the non-local Hartree-Fock potential experienced by the photoelectron is replaced by a local potential obtained by inversion of the corresponding ground state orbital. Subshell cross sections for atomic photoionizatim for representative atoms in the range 0–1500 eV calculated in this way are in good general agreement with Hartree-Fock values and with experiment. The extension to molecular systems and the use of an independent atomic centre approach to calculation of molecular photoionization cross sections at low photon energies is outlined.     

The single-determinant approximation with a local potential for excited states

The specific features of the calculations of the electronic structure in the approximation of a local exchange potential that is identical for all the electrons involved are considered. An optimized effective potential method is proposed for calculating the energies of excited electronic states of the same symmetry. A single-particle Schrö dinger equation is derived for an excited state whose orbitals are described by a single-determinant wave function orthogonal to the ground state. The equations determining the local potential for excited states are obtained within the variational approach. The solution to these equations is analyzed in the framework of the parameterized representation of the effective potential. The efficiency of the proposed method is demonstrated by calculating the energies of three excited states of the same symmetry for a HeH molecule. The difference between the results obtained by the Hartree-Fock method and the method proposed in this paper is equal, on average, to 0.05%. A comparison with the results obtained from precise calculations based on the configuration interaction method shows that the accuracy in determining the energy of the excited states by the optimized effective potential method is comparable to the accuracy in calculating the energy of the ground state.     

First-principles study of structural,electronic,and optical properties of cubic InAs_xN_yP_(1-x-y) triangular quaternary alloys

In this paper, we investigated the structural, electronic and optical properties of InAs, InN and InP binary compounds and their related ternary and quaternary alloys by using the full potential linearized augmented plane wave(FP-LAPW)method based on density functional theory(DFT). The total energies, the lattice parameters, and the bulk modulus and its first pressure derivative were calculated using different exchange correlation approximations. The local density approach(LDA) and Tran–Blaha modified Becke–Johnson(TB-m BJ) approximations were used to calculate the band structure.Nonlinear variations of the lattice parameters, the bulk modulus and the band gap with compositions x and y are found.Furthermore, the optical properties and the dielectric function, refractive index and loss energy were computed. Our results are in good agreement with the validated experimental and theoretical data found in the literature.     

Exploring weight-dependent density-functional approximations for ensembles in the Hubbard dimer

Gross–Oliveira–Kohn density-functional theory (GOK-DFT) is an extension of DFT to excited states where the basic variable is the ensemble density, i.e. the weighted sum of ground- and excited-state densities. The ensemble energy (i.e. the weighted sum of ground- and excited-state energies) can be obtained variationally as a functional of the ensemble density. Like in DFT, the key ingredient to model in GOK-DFT is the exchange-correlation functional. Developing density-functional approximations (DFAs) for ensembles is a complicated task as both density and weight dependencies should in principle be reproduced. In a recent paper [K. Deur et al., Phys. Rev. B 95, 035120 (2017)], the authors applied exact GOK-DFT to the simple but nontrivial Hubbard dimer in order to investigate (numerically) the importance of weight dependence in the calculation of excitation energies. In this work, we derive analytical DFAs for various density and correlation regimes by means of a Legendre–Fenchel transform formalism. Both functional and density driven errors are evaluated for each DFA. Interestingly, when the ensemble exact-exchange-only functional is used, these errors can be large, in particular if the dimer is symmetric, but they cancel each other so that the excitation energies obtained by linear interpolation are always accurate, even in the strongly correlated regime.     

Two-, three-, and four-photon ionization of Mg in the circularly and linearly polarized laser fields: Comparative study using the Hartree-Fock and model potentials

We theoretically study multiphoton ionization of Mg in the circularly polarized (CP) as well as the linearly polarized (LP) laser fields. Specifically two-, three-, and four-photon ionization cross sections from the ground and first excited states are calculated as a function of photon energy. Calculations are performed using the frozen-core Hartree-Fock (FCHF) and also the model potential (MP) approaches and the results are compared. We find that the MP approach provides results as good as or even slightly better than those by the FCHF. We also report the relative ratios of the ionization cross sections by the CP and LP laser fields as a function of photon energy, which exhibit clear effects of electron correlations.     

Theoretical study of the photoelectron spectrum of ethyl formate: Ab initio and density functional theory investigation

The first ionization energy and associated photoelectron spectrum of ethyl formate are investigated with quantum chemistry calculations. The geometries, harmonic vibrational frequencies and first ionization energy are computed at the Hartree-Fock (HF) and at the second order Møller-Plesset perturbation theory (MP2). Moreover, accurate ionization energies are obtained with the Coupled-Cluster theory including singles and doubles excitations (CCSD) as well as singles, doubles and perturbative triples excitations (CCSD(T)). Then, these ab initio results are assessed with respect to experimental values. Additionally, the ionization energies are also calculated with the computationally attractive density functional theory (DFT). In this case the accuracy of several exchange-correlation functionals is evaluated by comparison with the ab initio and experimental results. In a next step, the vibrational structure of the photoelectron spectrum is simulated at the HF, MP2 and DFT levels via the calculation of the Franck-Condon factors. These simulations are compared to the experimental photoelectron spectrum and allow an accurate reproduction of the vibrational progression.