原子核结构的相对论第一性原理研究

过去几十年中,原子核物理的相对论密度泛函理论得到很大发展,可以成功地描述各种原子核现象。文章阐述在相对论框架下研究原子核多体问题的必要性,介绍原子核物理中相对论密度泛函理论的基本概念,回顾相对论密度泛函理论在描述原子核基态、手征转动和动力学过程等方面的应用,讨论基于原子核物理的相对论第一性原理研究,即完全自洽的相对论Brueckner—Hartree—Fock理论,构建微观普适的密度泛函的基本思想。     

基于原子轨道基的实时密度泛函理论:方法及应用

实时密度泛函理论是基于含时Kohn-Sham方程,从实空间实时模拟材料激发态性质的第一性原理计算方法.本文介绍如何利用基于数值原子轨道基的含时密度泛函理论和软件TDAP(Time Dependent Ab initio Package),研究凝聚态物质与光场之间的相互作用.通过引入电磁场的长度规范和速度规范,该方法的适用范围从低维结构拓展到固体材料,且不受微扰论的限制,实现了对大规模、真实凝聚态体系的动力学性质的精确模拟.文中以几个有代表性的工作为例,说明该方法对于研究量子系统中新奇的超快量子动力学现象有着广泛的应用前景.     

碳分子线C5在激光场中的含时密度泛函理论研究

运用含时密度泛函理论和分子动力学相结合的方法, 研究了C₅分子线在强激光场中的电离激发.研究发现, 当考虑激光强度对C₅分子线激发的影响时, 激光强度越强, 分子吸收的能量越多, 电离也越早, 最终电离的电子也越多, 而且沿激光极化方向的偶极矩的变化及峰值也越大. 关于激光极化方向对C₅分子线激发的影响的研究表明, 当激光极化方向沿着C₅分子线轴向时, 分子的电离大大增强, x方向的激光脉冲仅能激发起x方向的偶极振荡, 而y方向的激光脉冲仅能激发起y方向的偶极振荡, 而且x方向的激光脉冲激发的偶极振荡强. 研究还表明, 当激光极化方向沿着C₅分子线轴向时, 尽管由于电离增强而导致C₅分子线C–C键振动的同步性变差, 但在两种激光极化方向情况下, C₅分子线的振动模式与中性C₅分子线的振动模式相同. 关键词： 含时密度泛函理论 分子动力学 分子电离 碳分子线     

Universality principle and the development of classical density functional theory

The universality principle of the free energy density functional and the ‘test particle' trick by Percus are combined to construct the approximate free energy density functional or its functional derivative. Information about the bulk fluid radial distribution function is integrated into the density functional approximation directly for the first time in the present methodology. The physical foundation of the present methodology also applies to the quantum density functional theory.     

水分子链受限于单壁碳纳米管结构的密度泛函理论研究

本文采用第一性原理的密度泛函理论,主要以(6,6)Armchair型,(11,0)Zigzag型单壁碳纳米管为研究对象,研究了水分子链在碳纳米管内部吸附的稳定结构,以及结合能随其结构的变化.结果表明:当水分子链受限于碳纳米管内部时,引起碳纳米管直径收缩,这主要是由于水分子链与碳纳米管之间的氢键作用以及范德华弱相互作用所引起的.随着碳纳米管半径的增加,两种单体之间的结合能逐渐减小,但当碳纳米管半径增加至6.78时,其结合能又有所增加,这是由于在优化过程中,水分子链单体之间的氢键作用大于水分子链与碳纳米管之 关键词： 水分子链/单壁碳纳米管 密度泛函理论 结构稳定性     

Single-particle energies and density of states in density functional theory

Time-dependent density functional theory (TD-DFT) is commonly used as the foundation to obtain neutral excited states and transition weights in DFT, but does not allow direct access to density of states and single-particle energies, i.e. ionisation energies and electron affinities. Here we show that by extending TD-DFT to a superfluid formulation, which involves operators that break particle-number symmetry, we can obtain the density of states and single-particle energies from the poles of an appropriate superfluid response function. The standard Kohn– Sham eigenvalues emerge as the adiabatic limit of the superfluid response under the assumption that the exchange– correlation functional has no dependence on the superfluid density. The Kohn– Sham eigenvalues can thus be interpreted as approximations to the ionisation energies and electron affinities. Beyond this approximation, the formalism provides an incentive for creating a new class of density functionals specifically targeted at accurate single-particle eigenvalues and bandgaps.     

密度泛函交换关联势与过渡金属化合物光学非线性的计算研究

在优化几何构型的基础上，对一系列强关联过渡金属化合物，采用密度泛函理论方法中各种 交换关联势计算了电子偶极矩、一阶光学极化率和一阶光学超极化率.考虑基组和频率影响 ，对比从头算MP2，HF方法及实验值，评价了各种交换关联势的计算表现.在此基础上，讨论 新的混合密度泛函交换关联势，以提高密度泛函理论方法计算含有过渡金属体系非线性光学 性质的精度. 关键词： 密度泛函方法 过渡金属化合物 非线性光学     

A time-dependent density functional theory investigation of plasmon resonances of linear Au atomic chains

We report theoretical studies on the plasmon resonances in linear Au atomic chains by using ab initio time-dependent density functional theory. The dipole responses are investigated each as a function of chain length. They converge into a single resonance in the longitudinal mode but split into two transverse modes. As the chain length increases, the longitudinal plasmon mode is redshifted in energy while the transverse modes shift in the opposite direction (blueshifts). In addition, the energy gap between the two transverse modes reduces with chain length increasing. We find that there are unique characteristics, different from those of other metallic chains. These characteristics are crucial to atomic-scale engineering of single-molecule sensing, optical spectroscopy, and so on.     

Electronic structure modeling of InAs/GaSb superlattices with hybrid density functional theory

The application of first-principles calculations holds promise for greatly improving our understanding of semiconductor superlattices. Developing a procedure to accurately predict band gaps using hybrid density functional theory lays the groundwork for future studies investigating more nuanced properties of these structures. Our approach allows a priori prediction of the properties of SLS structures using only the band gaps of the constituent materials. Furthermore, it should enable direct investigation of the effects of interface structure, e.g., intermixing or ordering at the interface, on SLS properties. In this paper, we present band gap data for various InAs/GaSb type-II superlattice structures calculated using the generalized Kohn-Sham formulation of density functional theory. A PBE0-type hybrid functional was used, and the portion of the exact exchange was tuned to fit the band gaps of the binary compounds InAs and GaSb with the best agreement to bulk experimental values obtained with 18% of the exact exchange. The heterostructures considered in this study are 6 monolayer (ML) InAs/6 ML GaSb, 8 ML InAs/8 ML GaSb and 10 ML InAs/10 ML GaSb with deviations from the experimental band gaps ranging from 3% to 11%.     

Ca掺杂Si团簇的几何结构和电子性质的密度泛函理论研究

采用密度泛函理论(DFT)B3LYP方法在6-311+G(d,p)基组水平,对CaSi_n(n=1~10)的结构进行优化,得出各个尺寸下团簇处于最低能量的结构模型,并对其稳定性等物理化学性质进行理论研究,表明CaSi_2、CaSi_5和CaSi_9为幻数团簇.     

特丁基对苯二酚的光谱及密度泛函研究

特丁基对苯二酚是重要的食品抗氧化剂.理论上,基于密度泛函理论,采用B3LYP泛函及6-311G(d,p)基组在气相环境下优化分子的结构并进行频率计算.在此基础上,基于含时密度泛函理论,选用SMD(solvation model based on density)溶剂模型,利用B3LYP泛函并结合def2-TZVP基组计...     

稳态Cu-Zr二十面体团簇电子结构的密度泛函研究

采用第一原理对以Cu为心的低能稳态Cu_nZ_(r13-n)(n=6,7,8,9)二十面体团簇的电子结构进行计算,结果表明:同一化学组分下,以Cu为心的Cu-Zr二十面体团簇中出现的同类原子聚集现象可以增强团簇的稳定性,降低费米能级(EF)上的电子数N(EF),这为低能稳态团簇拥有较小的N(EF)提供了深层次的理论解释.进一步的差分电子密度与Mulliken布居分析得知,Cu-Zr二十面体中共价键与离子键共存,成键态与反键态共存,且团簇在形成时壳层Zr与中心Cu原子是电子的提供者,壳层Cu是电子的获得者.该电荷转移方向是金属玻璃中以Cu为心的Cu-Zr二十面体团簇普遍遵循的规律,不随团簇的化学序参数及化学组分的变化而变化.计算的红外振动谱为实验上准确表征不同二十面体原子团提供了一种新的思路.     

Derivative discontinuities in density functional theory

Fifty years after the original formulation of density functional theory (DFT), subtle consequences of the mathematical mappings underlying its formalism continue to merit new views. In this article, we discuss the origin, the importance, and the challenges associated with finding the derivative discontinuity of the exchange-correlation (XC) energy of DFT at integer–electron numbers. We show how even the energy of a quantum electron gas with finite volume and number of electrons displays such derivative discontinuities, but continuous density functional approximations to the XC functional miss them entirely. We discuss some of the practical problems that arise due to this lack of derivative discontinuities in standard functionals, and explain new ways to recover them.     

氧化镁纳米管团簇电子结构的密度泛函研究

用密度泛函理论（DFT）的杂化密度泛函B3LYP方法在6-31G（d）基组水平上对MgO纳米管团簇的二元环双管、三元环、三元环双管三种构型共21个团簇进行优化,对各构型的平均结合能、能隙、平均原子电荷以及总电荷密度进行了理论研究. 结果表明,平均结合能和配位数呈线性关系;随着纳米管的生长,团簇的稳定性增加,其中以三元环纳米管最为稳定;生长过程中发生原子间的电荷转移现象,预测出至无限长时的平均原子电荷分别为1298,1270,1306;混合离子共价键始终存在于MgO纳米管团簇之中. 关键词： 氧化镁 纳米管团簇 密度泛函理论 电子结构     

Lattice density functional theory for confined Ising fluids: comparison between different functional approximations in slit pore

ABSTRACT

In this paper, Lafuente and Cuesta's cluster density functional theory (CDFT) and lattice mean field approximation (LMFA) are formulated and compared within the framework of lattice density functional theory (LDFT). As a comparison, an LDFT based on our previous work on nonrandom correction to LMFA is also developed, where local density approximation is adopted on the correction. The numerical results of density distributions of an Ising fluid confined in a slit pore obtained from Monte Carlo simulation are used to check these functional approximations. Due to rational treatment on the coupling between site-excluding entropic effect and contact-attracting enthalpic effect by CDFT with Bethe-Peierls approximation (named as BPA-CDFT for short), the improvement of BPA-CDFT beyond LMFA is checked as expected. And it is interesting that our LDFT has a comparative accuracy with BPA-CDFT. Apparent differences between the profiles such as solvation force, excess adsorption quantity and interfacial tension from LMFA and non-LMFAs are found in our calculations. We also discuss some possible theoretical extensions of BPA-CDFT.     

基于密度泛函理论的外电场下盐交联聚乙烯分子的结构及其特性

交联聚乙烯是主要的高压电缆绝缘材料.为了研究外电场对盐交联分子结构的影响,本文对Zn原子使用def2-TZVP基组, C, H, O原子使用6-31G(d)基组,运用明尼苏达密度泛函(M06-2X)对交联聚乙烯分子进行优化得到了它的稳定结构.并研究了不同外电场(0—0.020 a.u., 1 a.u.=5.142×10~(11)V/m)作用下盐交联聚乙烯分子结构和能量变化,外电场对前线轨道的能级和成分的影响,原子之间的键级、断键和红光光谱的变化.研究结果表明:随着电场的增大,交联聚乙烯分子从空间网状结构逐渐变成线性结构,总能量降低,但势能增大,偶极矩和极化率升高,交联聚乙烯分子的稳定性随着电场的增大而降低;最高占据轨道能级持续增大,最低空轨道能级从0.011 a.u.电场开始持续降低,能隙持续降低,临界击穿场强为11.16 GV/m;沿电场方向聚乙烯链端表现出亲核反应活性,它的C—C键更容易断裂,形成甲基碳负离子,逆电场方向聚乙烯链端表现出亲电反应活性,它的C—H键更容易断裂形成H正离子;分子红外光谱高频区吸收峰明显红移,低频区吸收峰既有红移又有蓝移.     

Vibrational analysis of L-serine using the density functional theory

In this paper, we present a computational study of L-serine using ab initio molecular dynamics simulation based on density functional theory (DFT) within the ultrasoft pseudopotentials and generalized-gradient approximation. Taking into account the intermolecular interactions, we can indeed simulate the features of the experimental results very well for L-serine zwitterions in its solid state. The vibrational spectrum of L-serine performed by DFT was in excellent agreement with our previous inelastic incoherent neutron scattering spectra measured at 20K for L-serine in the 10--200meV region on HET spectrometers at ISIS, Rutherford Appleton Laboratory.     

Push it to the limit: comparing periodic and local approaches to density functional theory for intermolecular interactions

ABSTRACT

With the aim of systematically comparing two popular approaches to density functional theory – all-electron calculations with local basis sets, and periodic calculations employing plane wave basis sets and norm-conserving pseudopotentials – we have computed complete-basis binding energies across the S22 set of intermolecular interactions, a dataset consisting of noncovalent interactions of small- and medium-sized molecules containing first- and second-row atoms, using the Troullier-Martins norm-conserving pseudopotentials with SPW92, a local spin-density approximation; and PBE, a generalised gradient approximation. We have found that it is challenging to reach the basis set limit with these periodic calculations; for the methods and systems examined, a minimum vacuum distance of 30?Å between a system and its nearest images is necessary – unless some form of dipole correction is employed – as is a kinetic energy cutoff of at least 80 Ry. The trends in convergence with respect to vacuum size and kinetic energy cutoff are largely independent of the level of density functional approximation employed. A sense of the impact of each hyperparameter on basis set error provides a foundation for ensuring quality calculations in future studies and allows us to quantify the basis set errors incurred in existing studies on similar systems.     

基于含时密度泛函理论的表面等离激元研究进展

纳米粒子的局域表面等离激元(LSP)由于其新颖的光学特性成为目前国内外研究的热点之一. 本文利用含时密度泛函理论(TDDFT)对金属团簇及石墨烯纳米结构中的等离激元激发及调制的物理本质进行了研究. 和宏观大小的材料相比, 由于纳米结构的尺寸和量子受限效应, 纳米结构的等离激元具有一些不同的特征. 在低能共振区, 光谱线发生展宽, 并且发生劈裂. 由于纳米单体间的电磁耦合作用, 使聚合的纳米结构表现出了与单体不同的光学性质. 这些结果为等离激元的调控提供了坚实的理论指导.     

Si_4N_4团簇结构与性质的密度泛函理论研究(英文)

用密度泛函理论(DFT)中的杂化密度泛函B3LYP方法,在6-31G(d)的水平上对Si4N4团簇的可能结构进行了几何结构优化和电子结构计算,得到了可能的17个异构体.Si4N4团簇的最稳定结构是有8个Si-N键的平面结构.用自然键轨道(NBO)方法分析了成键性质.计算结果表明,Si-N键中Si原子向N原子有较大的电荷转移,因此Si-N原子间有较强的电相互作用;最强的IR和Raman谱峰分别位于1387.64cm-1和1415.05cm-1处;并计算了Si4N4团簇的最稳定结构的极化率和超极化率.