平行板间方势阱偶极流体的结构性质研究

在密度泛函理论(DFT)框架下, 应用改进的基本度量理论(MFMT)表达硬球作用对自由能泛函的贡献, 根据统计力学理论结合加权密度近似(WDA)表达偶极作用对自由能泛函的贡献,得到了方势阱偶极流体在平行板间的密度分布表达式, 计算了偶极流体在两平行板间的密度分布, 并探讨了方势阱深度和宽度对体系密度分布的影响. 此外, 通过体系密度分布, 进一步分析了方势阱宽度和深度以及板间尺度与溶剂化力的关系.     

方阱链流体在固液界面分布的密度泛函理论研究

应用Yethiraj的加权密度近似泛函理论研究平板狭缝中方阱链流体的密度分布，系统的Helm holtz自由能泛函分为理想气体的贡献利剩余贡献两部分，其中剩余贡献部分分别采用刘洪 来等人建立的基于空穴相关函数的方阱链流体状态方程和Gil-Villegas等人提出的统计缔合 流体理论状态方程(SAFT-VR)结合简单加权密度近似计算.考察了不同链长、温度、系统密度 和壁面吸引强度下平板狭缝中方阱链流体的密度分布，并与Monte Carlo(MC)模拟结果进行 了比较.结果表明采用不同的状态方程对密度分布的计算有明显的影响，对于受限于硬壁狭 缝中的方阱链流体，温度和密度比较高时，两种状态方程计算的结果均与MC模拟符合得比较 好，在低温和低密度下效果变差，SAFT-VR方程的计算结果更接近于MC模拟结果.对于受限于 方阱壁狭缝中的方阱链流体，由于系统密度分布的非均匀性加强，采用两种状态方程计算的 结果均与MC模拟结果有一定偏差，寻找更合适的权重函数是进一步改进的关键. 关键词： 密度泛函理论 非均匀流体 密度分布 固液界面 方阱链     

接枝聚合物对小分子的选择性吸附研究

文章应用密度泛函理论研究接枝于壁面的方阱链对二元小分子混合物的选择性吸附特性. 系统的Helmholtz剩余自由能泛函被表示为硬球排斥和方阱吸引两部分贡献之和,分别由硬球链流体状态方程和变阱宽方阱链流体状态方程的简单加权密度近似来进行计算. 用此理论方法,分别考察了接枝聚合物的结构性质,以及不同温度下接枝分子层对二元方阱流体的选择性吸附性能. 结果表明:分子刷厚度随接枝密度线性增长而随温度非线性增加,并且在高温下趋于饱和;在较低温度下,接枝聚合物刷能表现出很好的选择性吸附能力,当聚合物刷被加热到高于饱和温度时,该能力将大幅度地减弱. 关键词： 密度泛函理论 接枝聚合物 选择性吸附 方阱链     

约束条件下的硬球流体

利用密度泛函理论和分子动力学方法 ,对处于两平行硬墙之间的硬球流体的密度分布进行了计算 .通过比较两种方法的结果 ,发现在墙之间距离较大时 ,Rosenfeld密度泛函理论的结果与分子动力学模拟的结果符合很好 ;当两堵墙间的距离很小时 ,这两个结果之间存在明显的不一致 .另外 ,还研究了约束条件下密度分布的结构     

氢分子间色散相互作用能的自然轨道泛函

理论上对分子间色散相互作用能的精确计算一直是个难点问题.密度矩阵泛函基于非定域量一阶密度矩阵为基本变量,它与色散相互作用起源于电子间的非定域关联特性相吻合.论文以最简单的氢分子为研究对象,通过分析两相互平行的氢分子间色散相互作用能,构造出了该体系中色散相互作用能的自然轨道泛函.结果表明:描述该体系中色散相互作用能的自然轨道泛函形式为包含有4个轨道的非交换和库伦积分.该结果对发展色散相互作用能的密度矩阵泛函理论具有重要的参考价值.     

密度泛函理论研究有机太阳能电池界面的激子分离及电荷转移速率:DR3TBDT/PC60BM 体系

本文选择DR3TBDT/PC60BM体系为模型,采用量子化学中的密度泛函理论方法,分别计算了孤立的给受体分子以及复合物的基态结构性质、吸收性质、激发态电荷转移,并通过Rehm-Well表达式,Marcus理论的双势阱、双球棍模型以及广义的Mulliken-Hush (GMH)模型分别计算了电子转移和电荷重组过程中的Gibbs自由能变、内外重组能以及电子耦合,最后通过Marcus电子转移速率方程得出了界面的电荷转移和重组速率,从动力学角度为新材料的设计提供了理论表征手段.     

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.     

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.     

正切平方量子阱中三次谐波产生的研究

用量子力学中的密度矩阵算符理论推导出了正切平方量子阱中三次谐波产生的解析表达式,并以典型的GaAs正切平方量子阱为例进行数值计算.计算结果表明,该势阱中的三次谐波系数与势阱深度y0、势阱宽度b和弛豫常数(Π)Γ有关.通过调节V0、b和(Π)Γ可以获得比较大的三次谐波系数,从而为实验研究和实际生产提供必要的理论依据.     

第一性原理计算Ni原子吸附在Al(111)表面原子结构和电子态(英文)

利用密度泛函理论和广义梯度近似研究镍吸附在Al(111)表面.在覆盖率为0.25ML下,分析了Ni吸附在Al(111)表面的面心立方洞位、六角密排洞位、顶位和桥位四个高对称位的原子结构和吸附能.比较不同高对称位的吸附能发现,六角密排洞位的吸附能最大,是5.76eV,是最稳定的吸附位置.详细讨论了两个最低能量结构-三重洞位的电子结构、功函数、表面偶极距和Ni-Al键的特性.在费米能级附近,Ni-3d和Al-3s,3p轨道产生杂化,形成金属间化合键.由于吸附导致双金属体系表面偶极距和功函数的变化.我们发现:Ni原子与Al(111)表面原子间成建主要是共价键,没有表现出明显的静电荷跃迁,相应的产生非常小的表面偶极距.与面心立方洞位相比,六角密排洞位在费米能级附近产生较低的态密度,在键态附近产生较大的杂化.     

Alkali rare-gas line profiles in a square-well potential approximation: Width,shift, and asymmetry

We have studied the profiles of spectral lines of alkalies perturbed by rare gases using the Anderson and Talman theory of line broadening with a square-well potential, chosen for its simplicity in order to understand the influence of potential parameters on the profiles. Although it is obvious that such a simple potential is not able to give an exact quantitative fit to the experimentally measured results, we have been able to give a complete and satisfactory explanation of the variations of width, shift and asymmetry with density by applying previously established results, for the case of well-resolved satellites, to the case of unresolved satellites often encountered experimentally.     

方势阱中凝聚体的孤子动力学行为

利用多重尺度法, 解析地研究了方势阱中玻色-爱因斯坦凝聚体的孤子动力学行为. 结果表明, 方势阱对凝聚体中的孤子动力学有重要的影响. 进入方势阱时孤子作加速运动, 逃逸出势阱时孤子作减速运动; 且随着势阱深度的增加, 孤子的速度增加、幅度增加、宽度减小. 这为实验操控孤子的动力学行为提供一定的参考价值. 关键词： 玻色-爱因斯坦凝聚体 孤子 方势阱     

Perturbation theory for the square-well dimer fluid

An analytical equation of state is presented for the square-well dimer fluid of variable well width (1 ≤ λ ≥ 2) based on Barker-Henderson perturbation theory using the recently developed analytical expression for radial distribution function of hard dimers. The integral in the first- and the second-order perturbation terms utilizes the Tang, Y and Lu, B. C.-Y., 1994, J. chem. Phys., 100, 6665 formula for the Hilbert transform. To test the equation of state, NVT and Gibbs ensemble Monte Carlo simulations for square-well dimer fluids are performed for three different well widths (λ = 1.3, 1.5 and 1.8). The prediction of the perturbation theory is also compared with that of thermodynamic perturbation theory in which the equation of state for the square-well dimer is written in terms of that of square-well monomers and the contact value of the radial distribution function.     

A self-consistent approach for modelling the interfacial properties and phase diagrams of Yukawa,Lennard-Jones and square-well fluids

A self-consistent density-functional approach is presented for describing the phase behaviour and interfacial tensions of van der Waals fluids represented by the hard-core Yukawa (HCY), Lennard-Jones (LJ) and square-well (SW) potentials. The excess Helmholtz energy functional is formulated in terms of a modified fundamental measure theory (MFMT) for the short-ranged repulsion and a density-gradient expansion for the van der Waals attractions. Analytical expressions for the direct correlation functions of uniform fluids are utilized to take into account the effect of van der Waals’ attraction on intermolecular correlations. For bulk phases, the density functional theory is reduced to an equation of state (EOS) that provides accurate saturation pressures and vapour–liquid phase diagrams. Near the critical region, the long-range fluctuations can be corrected by using the renormalization group (RG) theory. With the same set of molecular parameters, the theory also yields satisfactory surface tensions and interfacial density profiles at all relevant temperatures.     

On the solvation force of water-like fluid models with square-well attraction and site–site association in slit-like pores: density functional approach

The solvation force of the water-like fluid models with square-well attraction and site–site chemical association confined to slit-like pores has been explored. Theoretical procedure is based on the application of the density functional approach with mean-field approximation for the attractive interparticle interactions. The chemical association effects are treated by using the first-order thermodynamic perturbation theory of Wertheim. Trends of behaviour of the solvation force are put in correspondence with the distribution of molecules in the pores and with the average density of the adsorbate. Moreover, the distribution of non-bonded species on pore width is described. The influence of the width of the square-well and of the gas–solid attraction is discussed. A comparison of theoretical predictions with computer simulations results for water models in slit-like pores is performed.     

Self-diffusion of particles interacting through a square-well or square-shoulder potential

The diffusion coefficient and velocity autocorrelation function for a fluid of particles interacting through a square-well or square-shoulder potential are calculated from a kinetic theory similar to the Davis-Rice-Sengers theory and the results are compared to those of computer simulations. At low densities the theory yields too low estimates due to the neglect of correlations between subsequent partial collisions of identical pairs; in particular, the neglect of boundstate effects appears important. At intermediate densities the theory makes reasonable predictions and at high densities it produces too high values, due to the neglect of ring terms and other correlated collision events. The results for the square-shoulder potential generally exhibit better agreement between theory and simulations than do those for the square-well potential.     

The role of higher-order terms in perturbation approaches to the monomer and bonding contributions in a SAFT-type equation of state for square-well chain fluids

A perturbation theory for square-well chain fluids is developed within the scheme of the (generalised) Wertheim thermodynamic perturbation theory. The theory is based on the Pavlyukhin parametrisations [Y. T. Pavlyukhin, J. Struct. Chem. 53, 476 (2012)] of their simulation data for the first four perturbation terms in the high temperature expansion of the Helmholtz free energy of square-well monomer fluids combined with a second-order perturbation theory for the contact value of the radial distribution function of the square-well monomer fluid that enters into bonding contribution. To obtain the latter perturbation terms, we have performed computer simulations in the hard-sphere reference system. The importance of the perturbation terms beyond the second-order one for the monomer fluid and of the approximations of different orders in the bonding contribution for the chain fluids in the predicted equation of state, excess energy and liquid–vapour coexistence densities is analysed.     

Algebraic meson models

We discuss two meson models where a meson is described in the Bethe-Salpeter formalism as a bound state of a quark and an antiquark interacting via an instantaneous infinite square-well potential. In the first model the quark and antiquark are heavy and the depth of the potential exactly balances their rest energy and in the second model the quark and antiquark are massless. In each model the mass operator for the composite system is homogeneous. Hence a dilatation operator can be defined such that the mass operator transforms in the same way as the translation generator under infinitesimal scale transformations. Then the quark-antiquark bound states carry irreducible representations of the Weyl Lie algebra which, due to the scale parameter introduced by the finite width of the infinite square-well potential, have nontrivial discrete mass spectra.     

Electron–electron interaction effects in heliumlike atoms confined in finite external square-well potential

A B-spline-based configuration interaction method is used to compute the energy levels of the ground and a few excited states of heliumlike atoms confined in a finite external square-well potential, as a function of the depth of the confining shell potential. The electron probability density and the dependence of the energy levels in the shell potential are used to account for the electron-electron interaction when the atoms are submitted to such an environment.