Ne-CH4分子间相互作用势的局域密度近似计算

利用基于密度泛函理论框架下的局域密度近似方法对Ne-CH4分子间的相互作用势进行了计算. 发现 当Ne原子和CH4分子之间的距离约为5.8 a.u.时, 计算的势能曲线存在最小值, 对应的势阱深度约为0.053 eV. 计算结果与实验值符合较好.     

水二聚体分子间相互作用势

利用超分子二阶到四阶多体微扰理论和扩展的相关一致基组(aug-cc-pVTZ)结合有效的中点键函数(3s3p2d1f1g)计算水二聚物的平衡结构和分子间相互作用势,并用平衡方法修正基组重叠误差.在MP2/aug-cc-pVTZ理论级别优化水二聚物几何构型.与正常优化的结果相比,平衡修正优化得到的RO-O和α值分别轻微的增加0.002 nm和0.19°,同时,θ值减小0.013°.在MP2水平利用扩展的相关一致基组结合有效键函数,预言了RO-O和ΔECP值分别为0.0923 nm和-4.86 kcal/mol,计算结果与实验值符合得很好.用exp-4.2势函数拟合分子间相互作用能的离散点,拟合结果与从头算计算的结果一致.     

低密度氢气的分子间平均相互作用势理论和计算

本文提出了分子单中心模型,并通过对构型的平均,两个定理的提出与证明,色散能修正的证明,从数学上论证了这个模型的合理性。由此模型可以直接求出两个氢分子间的平均相互作用势,从而改变了长期以来,总是先算有限几种构型然后再作平均的传统作法。通过数字计算,得到了迄今为止最好的全程平均相互作用势曲线。势阱深度及平衡分子间距分别为-2.91meV和3.44(实验值:-2.85～-3.00meV,3.43～3.49)。     

局域密度近似理论的适用范围及其理论证明

在电子密度中,可以假定存在一种能产生交换相关能的非局域空穴。通过该假定可将存在于局域密度理论中的电子自相互作用消除。由这种交换相关能所导出的非局域电子密度势具有两方面的作用:一方面会影响到由空穴产生的静电势;另一方面当空穴的大小和形状随其密度变化而引起能量变化时,它也会影响到描述这些变化的项。迄今为止,所有以往曾研究过此问题的国外学者都只考虑了前一方面的影响而忽略后一方面的作用。本文对包含这些项所引起的各种效应进行了全面而严格的检验,并采用了局域近似或完全忽略;若完全忽略会产生各种各样的无序波函数。本文证明对这些项可进行一般的局域估价,这种方法较之于精确处理要简便得多。 关键词：     

TATB分子的结构及分子间相互作用

采用Hartree-Fock方法和密度泛函BPW91方法,对TATB双分子系统的几何结构和能量进行了优化和计算,得到双分子共平面的平衡结构.结果表明在TATB分子内部H和O之间存在着明显的氢键.分子之间的相互作用使TATB分子的对称性下降.一般地,没有充分计入分子之间的相互作用的影响时,计算得到的C-N键长比实验测得值大,而计算得到的C-C键长比实验测得值小.计算并讨论了TATB分子之间的相互作用能,表明TATB分子形成晶体结构时,应当以层状晶体结构最为稳定.     

LLM-105的分子间相互作用和热力学性质

应用第一性原理可以计算含能材料0 K下的结构和物理性质,但温度效应的缺失通常会导致计算数据与实验结果产生偏差.同时,与温度相关的热力学参数是含能材料在宏观和介观尺度下建模的关键输入.为此,本文以高能低感炸药1-氧-2, 6-二氨基-3, 5-二硝基吡嗪(LLM-105)为研究体系,基于准简谐近似,采用色散修正的密度泛函理论研究温度加载下LLM-105的分子间相互作用和热力学性质.晶格参数和热膨胀系数的演化表明LLM-105分子间相互作用具有强烈的各向异性,其中b轴方向(分子层间)的膨胀率远高于ac平面(分子层内). Hirshfeld表面及其指纹图分析进一步证实LLM-105的分子间相互作用主要取决于O···H构成的氢键.结合Mulliken布居数和结构分析,温度加载下氢键相互作用的变化可诱发硝基旋转,并使得C—NO₂键的强度明显减弱,为高温分解反应的触发键提供了理论依据.此外,本文计算了等容和等压条件下的热容、熵以及等温和绝热条件下的体模量等基础热力学参数.其中绝热条件下的体模量与实验值吻合,同时体模量随温度的演化反映了LLM-105在温度加载下的软化行为.上述...     

C60分子之间相互作用势的Kihara形式

根据Ｃ６０－晶体的升华焓，晶包参数和压缩系数，求得了Ｃ６０分子之间相互作用势的Ｋｉｈａｒａ形式，并且讨论了简单的Ｌｅｎｎａｒｄ－Ｊｏｎｅｓ势不能很好地描述Ｃ６０分子之间的相互作用。根据Ｃ６０分子之间相互作用势的Ｋｉｈａｒａ形式，计算了不同Ｃ６０晶型的某些性质，讨论了Ｃ６０晶体不同晶型的稳定性问题。     

锂原子与部分惰性气体原子间相互作用势的计算

基于碱金属原子与惰性气体原子间相互作用的交换势主要来自碱金属原子的最外层S电子与惰性气体原子的最外层S电子之间 ,将面积分方法 (thesurfaceintegralmethod)推广 ,计算了Li原子与Ne、Ar、Kr和Xe原子间相互作用的vanderWaals势能曲线。其势阱的位置和深度与实验结果和其它理论计算结果符合得相当好     

弱相互作用费米气体的热力学性质

根据赝势法导出无外势时弱相互作用费米气体的化学势、内能和定容热容的解析表达式.在此基础上，采用局域密度近似研究谐振势中弱相互作用费米气体的热力学性质，探讨粒子间相互作用对系统性质的影响. 关键词： 费米气体 相互作用 赝势法 局域密度近似 热力学性质     

高密度氢气的分子间相互作用与状态方程

本文从高密度氢气的分子间相互作用出发进行分析,在修改范德瓦耳方程的基础上,提出了一种新的适用于高密度氢气的状态方程,并用来系统地计算了氢气在临界区的等温压缩线.在缺乏实验数据的情况下,这些理论计算结果很有用.     

The effect of density dependent Av18 effective interaction on the ground state properties of heavy closed shell nuclei

The channel-dependent Argonne Av₁₈ effective two-body interactions (CDEI) which are generated through the lowest order constrained variational (LOCV) calculation for asymmetric nuclear matter with the charge-dependent Av₁₈ bare nucleon–nucleon potential are used to calculate the ground state properties of heavy closed shell nuclei such as ⁴⁸Ca, ⁹⁰Zr, ¹²⁰Sn and ²⁰⁸Pb. The harmonic oscillator basis, and the local density approximation (LDA) are applied to create the relative and the center of mass dependent effective two-body potential. We get more binding with respect to the similar calculation with the Reid types potentials. It is tried to omit the LDA and perform full calculation with the Av₁₈CDEI for light nuclei. The results indicate that the LDA works quite well. It is also shown that in case of heavy closed shell nuclei and unlike our previous report with Reid68Day   interaction, the contributions of higher partial waves (J>2$J>2$) are very important for the calculations with Av₁₈ potential and we get reasonable agreement between our calculated binding energies and RMS radii, with those predicated by the others methods, and the experimental data. Finally, the various aspects of channel and density dependent two-body effective interactions are discussed.     

元素周期表中元素单晶基于局域密度理论的正电子寿命计算

在局域密度近似理论（LDA）的基础上用中性原子叠加模型和有限插分方法（SNA-FD）计算了元素周期表中各种元素单晶的正电子体寿命和单空位寿命.分析了不同结构的单晶中自由正电子的分布信息和湮没信息.元素单晶的正电子寿命计算值与文献中的实验测量值相符合,表明LDA基础上的SNA-FD方法可以作为单晶中正电子湮没理论计算的有效研究手段. 关键词： 局域密度近似理论 正电子寿命     

Off-shell behaviour ofα-α interaction potentials

Off-shell behaviour of representativeα-α interaction potentials, both local and non-local separable, is compared through the partial wave Kowalski-Noyes half-off-shell functions. Parameters of the existing rank-one separable potentials are redetermined and an additional rank-two potential is constructed for this family. It is found that all these potentials show similar off-shell behaviour for higher partial waves. Their behaviour for low partial waves, however, particularly in the region far away from the energy-shell, is widely different. The off-shell correction for the (α, 2α) reaction at 140 MeV is calculated, as an application, and it is found that separable potentials predict a non-negligible effect.     

高密度氩气的原子间相互作用与状态方程

本文从高密度气体的原子间相互作用出发进行思考,在修改范德瓦耳方程的基础上,提出了一种新的适用于高密度气体的状态方程,并用以对氩气临界区的等温压缩线进行计算,结果与实验值很符合.     

Revisiting the local potential approximation of the exact renormalization group equation

The conventional absence of field renormalization in the local potential approximation (LPA) — implying a zero value of the critical exponent η   — is shown to be incompatible with the logic of the derivative expansion of the exact renormalization group (RG) equation. We present a LPA with η≠0$\eta \ne 0$ that strictly does not make reference to any momentum dependence. Emphasis is made on the perfect breaking of the reparametrization invariance in that pure LPA (absence of any vestige of invariance) which is compatible with the observation of a progressive smooth restoration of that invariance on implementing the two first orders of the derivative expansion whereas the conventional requirement (η=0$\eta =0$ in the LPA) precluded that observation.     

Composite Anderson-Newns model and density of states due to chemisorption: Quasi-chemical approximation

In this paper a variation in density of states (DOS) of the substrate due to chemisorption of hydrogen on transition metals using composite Anderson-Newns model has been investigated for different coverages in quasi-chemical approximation of Fowler and Guggenhiem, which in the limitz→∞ gives the Bragg-Williams approximation as a special case. Variation in density of states has been studied for one-dimensional periodic substrate with change in adatom interaction energy and coverage. With increase in coverage, the bonding and antibonding (B-AB) peaks are found to shift towards higher energies and at the same time relative height of the peaks also increases. The interesting feature to observe is that both approximations for a particular coverage, give split-off states with different height for both (B-AB) peaks. It particularly indicates change in B-AB states, representing amount of chemisorption, with the change in interaction energy between adatoms. At the same time bond strength is also found to decrease with interaction between adatoms.     

Revision of single atom local density and capture number varying with coverage in uniform depletion approximation and its effect on coalescence and number of stable clusters

In vapour deposition,single atoms (adatoms) on the substrate surface are the main source of growth.The change in its density plays a decisive role in the growth of thin films and quantum size islands.In the nucleation and cluster coalescence stages of vapour deposition,the growth of stable clusters occurs on the substrate surface covered by stable clusters.Nucleation occurs in the non-covered part,while the total area covered by stable clusters on the substrate surface will gradually increase.Carefully taking into account the coverage effect,a revised single atom density rate equation is given for the famous and widely used thin-film rate equation theory,but the work of solving the revised equation has not been done.In this paper,we solve the equation and obtain the single-atom density and capture number by using a uniform depletion approximation.We determine that the single atom density is much lower than that evaluated from the single atom density rate equation in the traditional rate equation theory when the stable cluster coverage fraction is large,and it goes down very fast with an increase in the coverage fraction.The revised equation gives a higher value for the ’average’ capture number than the present equation.It also increases with increasing coverage.That makes the preparation of single crystalline thin film materials difficult and the size control of quantum size islands complicated.We also discuss the effect of the revision on coalescence and the number of stable clusters in vapour deposition.