密度泛函计数条件对结果精度的影响

通过对有代表性的分子ＢＣl3,ZnO,ZiCl4,LuF3的一系列计算,从三个文献考察密度泛函数理论的Ｋohn-Sham方法中采用的计算条件对结果精度的影响,发现基组完备性对计算结果影响最大,数值积分取点数目计算结果影响较小,电荷多极投影收剑较快,分子几何构型和振动基频对计算条件不太敏感,总能量和键能对计算结果较敏感,在计算键能的时对分子及其组成原了采用相同的基组和分布点方式可以减少误差,选择适当的计算条件,用较小的计算量可以得到与现有近似能量密度泛函精度相匹配的结果。     

C-H键活化反应的密度泛函理论模拟对简化模型的评估

采用密度泛函理论方法, 模拟了Rh(PPh₃)₃Cl催化的C-H键活化/C-C键偶联反应. 将反应机理分为C-H键活化、 迁移插入和还原消除3个过程进行讨论. 计算结果表明, 势能面的最高点为迁移插入的过渡态, 相对于初始原料的自由能为108.3 kJ/mol. 为了探索简化计算模型对模拟反应机理的影响, 使用2种模型催化剂Rh(PMe₃)₃Cl和Rh(PH₃)₃Cl表征相同的反应过程, 结果表明配体简化模型不合理, 主要是因为PPh₃配体的空间效应和熵效应非常明显.     

几种密度泛函理论公式用于镧系硫属化合物计算的比较

以镧系元素La、Gd、Lu的硫属化合物为对象,系统考察几种密度泛函理论公式对镧系化合物计算的适用情况,考虑了相对论效应的影响. 计算结果显示,相对论效应引起的键长变化在十2Pm到-3Pm之间,引起的键能减小为0. 4～0. 6eV,与采用的密度泛函公式关系不明显. 不同的密度泛函公式对键长的计算结果影响也不太大,但对键能有显著影响,其中LDA(VWN)＋PW86X公式给出最好结果. 交换能梯度校正明显改善键能计算结果,而相关能梯度校正反而使之变差. 简单的X_α公式给出相当好的键能计算结果. 在考虑相对论效应和梯度校正以后,密度泛函理论方法给出比较可靠的键长数值,键能则仍然偏高,但不超过20％.     

醋酸铀酰负离子气相分解反应的密度泛函理论研究

采用密度泛函理论(DFT), 选择杂化密度泛函TPSSh和TZVP基组, 对一个UO₂(CO₃)₃^4-负离子的结构进行优化, 理论计算所得结果(键长等参数)与实验数据一致. 应用TPSSh/TZVP(ECP)方法对醋酸铀酰负离子UO₂(CH₃COO)₃^-的气相分解反应进行了理论计算, 成功地解释了含+5价铀的气相自由基负离子的稳定性, 并对2个负离子(CH₃COO)UO₂CH₃^-和CH₃UO₂OH^-分别与水的复分解反应进行了理论计算, 所得数据与质谱的实验结果较好地吻合.     

第一过渡系金属硅烯配合物的理论研究

以HF/6-311+G^*基组研究了硅烯SiH₂同第一过渡系金属的配合物MSiH₂的分子轨道特征及键解离能.MSiH₂为共平面构型.其中基态的3TiSiH₂和4CoSiH₂带有明显的双键特征.M-Si键具有共价性质.M-Si的键解离能,从Sc到Cu呈现周期性变化,这种变化趋势同M的金属离子激发能之间存在近似的线性关系.     

二元和三元复合物中阳离子硫键与磷键的理论研究

采用MP2/cc-pVDZ和cc-pVTZ基组分别对复合物XH₂S⁺…NCH₂P和NCH₂P…PyX(X=NH₂, CH₃, H, CN, F, Cl, Br)中的硫键和磷键进行了研究, 讨论了键长、 键临界点的电荷密度(ρ)、 拉普拉斯密度(▽²ρ)、 范德华表面穿透距离、 二阶稳定化能和电荷转移量对硫键和磷键相互作用能的影响. 结果表明, 当取代基X为吸电子基团时, 形成的硫键较强. 当X为给电子基团时, 形成的磷键较强. 利用能量分解方法分析了取代基—CN导致硫键稳定性反常的可能原因. 还进一步讨论了三元复合物H₃S⁺…NCH₂P…PyX(X=NH₂, CH₃, H, CN, F, Cl, Br)中硫键和磷键的协同相互作用以及取代基对复合物稳定性的影响. 并通过对比相同的2种单体在三元复合物和二元复合物中的二阶稳定化能和相互作用能的差值, 说明了硫键与磷键起到相互促进的正协同作用, 增强了三元复合物的稳定性.     

木质素模化物键离解能的理论研究

采用密度泛函理论B3P86方法,在6-31G(d,p)基组水平上,对木质素结构中的6种连接方式(β-O-4、α-O-4、4-O-5、β-1、α-1、5-5)的63个木质素模化物的醚键(C-O)和C-C键的键离解能E_B进行了理论计算研究。分析了不同取代基对键离解能的影响以及键长与键离解能的相关性。计算结果表明,C-O键的键离解能通常比C-C键的小,在各种醚键中C_α-O键的平均键离解能最小,为182.7 kJ/mol;其次是β-O-4连接中的C_β-O键,苯环和烷烃基上的取代基对醚键的键离解能有较强的弱化作用,C-O键的键长和键离解能的相关性较差。与C-O键相比,C-C键的键离解能受苯环上取代基的影响很小,而烷烃基上的取代基对C-C键的键离解能有较大的影响,C-C键的键离解能和键长之间存在较强的线性关系,C-C键的键长越长,其键离解能越小。     

三卤化硼Lewis酸性的密度泛函理论研究

用密度泛函理论的DFT-LDA/NL方法研究BX₃(X=F,Cl,Br)分子的Lewis酸性.计算BX₃分子的硬度时,采用一个可供选择的方法.该法是密度泛函理论的Janak定理的推广.结果表明,分子硬度是BX₃Lewis酸性的最好表征.应用Pearson的软硬酸碱(HSAB)原理可以合理地解释BX₃酸性的变化规律     

基于平均影响值的反向传播神经网络方法用于提高密度泛函理论计算Y—NO键均裂能精度

将基于平均影响值(Mean impact value,MIV)的反向传播神经网络(Back propagation neural netowrk,BPNN)(MIV-BPNN)方法用于提高密度泛函理论(Density functional theory,DFT)计算Y—NO(Y=N,S,O及C)键均裂能的精度.利用量子化学计算和MIV-BPNN联合方法计算92个含Y—NO键的有机分子体系的均裂能.结果表明,相对于单一的密度泛函理论B3LYP/6-31G(d)方法,利用全参数下的BPNN方法计算92个有机分子均裂能的均方根误差从22.25 kJ/mol减少到1.84 kJ/mol,而MIV-BPNN方法使均方根误差减少到1.36 kJ/mol,可见B3LYP/6-31G(d)和MIV-BPNN联合方法可以提高均裂能的量子化学计算精度,并可预测实验上无法获取的均裂能值.     

266 nm激光光解C2H5SSC2H5产物的激光诱导荧光光谱

有机硫化物是大气主要污染物之一,其在大气中的光解产物还将造成二次污染,除了存在于有机硫化物中, S―S键还存在于胱氨酸等蛋白质中, S―S键的形成和断裂决定该类蛋白质的活性.本工作中,我们研究了用实验室常见的Nd:YAG激光器的四倍频266 nm激光光解C₂H₅SSC₂H₅过程,通过激光诱导荧光(LIF)光谱方法检测乙硫自由基C₂H₅S等光解产物.实验表明266 nm激光主要光解C₂H₅SSC₂H₅的S―S键产生C₂H₅S自由基.本文应用密度泛函理论的Becke3-Lee-Yang-Parr泛函(B3LYP方法)得到C₂H₅SSC₂H₅的S―S键、C―S键和C―C键的解离势能曲线,可知在266 nm光解条件下, C₂H₅SSC₂H₅在基态能够发生S―S键、C―S键解离, C―C键不发生解离.本文采用全活化空间自洽场(CASSCF)方法优化得到态和态的C₂H₅S自由基结构及其跃迁的绝热激发能,以辅助解析实验检测的C₂H₅S自由基的LIF光谱.实验结合理论计算最终得出,本实验266 nm光解条件下, C₂H₅SSC₂H₅主要发生S―S键解离,不排除少量分子发生C―S键解离的可能性.     

New Application of bond Function Basis Sets──ab initio Calculations of Nonlinear Optical Properties

ＮｅｗＡｐｐｌｉｃａｔｉｏｎｏｆｂｏｎｄＦｕｎｃｔｉｏｎＢａｓｉｓＳｅｔｓ──ａｂｉｎｉｔｉｏＣａｌｃｕｌａｔｉｏｎｓｏｆＮｏｎｌｉｎｅａｒＯｐｔｉｃａｌＰｒｏｐｅｒｔｉｅｓｏｆＣｈ_（４－ｎ）Ｆ_ｎ（ｎ＝１，２，３）ＬｉＺｈｉ－ｒｕ，ＴＡＯＦｕ－ｍｉ...     

Bond centred functions in relativistic and non-relativistic calculations for diatomics

In this paper, we discuss the performance of molecular basis sets consisting of atomic centred (AC) functions augmented with bond centred (BC) functions in relativistic and non-relativistic calculations carried out at the Hartree–Fock and several correlated levels of approximation. While usually non-correlated calculations employing BC functions can be performed at a lower computational cost as compared with those making use of energy optimized AC basis sets, the correlated calculations are always more accurate and less expensive with the latter. It is demonstrated that both correlated or non-correlated calculations always benefit from the addition of a few BC functions with a moderate increase of computational effort. The performance of basis sets containing even-tempered BC functions is also studied and their usage is advocated in case of relativistic calculations.     

The Influence of the Exchange-Correlation Functional on the Non-Interacting Kinetic Energy and Its Implications for Orbital-Free Density Functional ApproximationsSCI北大核心CSCD

In this work it is shown that the kinetic energy and the exchange-correlation energy are mutual dependent on each other.This aspect is first derived in an orbital-free context.It is shown that the total Fermi potential depends on the density only,the individual parts,the Pauli kinetic energy and the exchange-correlation energy,however,are orbital dependent and as such mutually influence each other.The numerical investigation is performed for the orbital-based non-interacting Kohn-Sham system in order to avoid additional effects due to further approximations of the kinetic energy.The numerical influence of the exchange-correlation functional on the non-interacting kinetic energy is shown to be of the orderof a few Hartrees.For chemical purposes,however,the energetic performance as a function of the nuclear coordinates is much more important than total energies.Therefore,the effect on the bond dissociation curve was studied exemplarily for the carbon monoxide.The data reveals that,the mutual influence between the exchange-correlation functional and the kinetic energy has a significant influence on bond dissociation energies and bond distances.Therefore,the effect of the exchange-correlation treatment must be considered in the design of orbital-free density functional approximations for the kinetic energy.     

取代氯苯化合物的电子结构和键离解能的理论研究

利用密度泛函（DFT）三种交换／相关函数（B3LYP,B3PW91,B3P86）结合6—31G^＊＊和 6-311G^＊＊基组,计算了13个取代氯苯化合物的键离解能．结果表明B3PS6／6—311G^＊＊方法是计算取代氯苯化合物键离解能的可信方法,研究发现C—Cl键的键离解能与所使用的基组和计算方法密切相关,取代基对C—Cl键的键离解能的影响不明显．研究了目标化合物的前线轨道能级差,并对取代氯苯化合物的热稳定性做了评估．     

New Application of bond Function Basis Sets──ab initio Calculations of Nonlinear OpticalProperties of CH4-nFn(n=1,2,3)

On the basis of adding the bond functions (3s 3p 2d) to the basis sets 6-311G ( 2d 2p ) for increasing the efficiency of the basis sets, we have carried out the MP2 calculations of nonlinear optical properties includintg dipole moment uo,polarizibili- ty μ_o and hyperpolarizability β_o for CH_4-nF_n (n = 1, 2, 3). The results are in good a- greement with those of experimentsl The roles of the bond functions in the calcula- tions are shown (μ_o, α_o, β_o) the improved values of the properties are about 2%-7% at the SCF level and about 6%-30% at the correlated level (MP2). It is shown that the more important role of the bond functions in calculating is the im- provement of the effects of the corrections of electronic correlations and the increase of the effects is in the order of μ_o<α_o<β_o In addition, it is also shown that the cal-, culated value of a property does not change with the bond-function location in our calculations except for the regions close to the nuclei in a molecule.     

Computational studies of bond dissociation energies, ionization potentials, and heat of formation for NH and NH+. Are hybrid density functional theory methods as accurate as quadratic complete basis set and Gaussian-2 ab initio methods?

Ionization potentials, bond dissociation energies, and heat of formation for NH and NH⁺ molecular species as well as for their elements were computed with highly reliable quadratic complete basis set and Gaussian-2 ab initio methods. The results are compared with experimental results and the assurance of these ab initio approaches is assessed. The same studies were also performed with three hybrid density functional methods (B3LYP, B3P86, and B3PW91) in combination with variously sized basis sets. The computational results are discussed in light of density functional theory reliability for exploring the potential energy of small polar molecular systems. Received: 21 July 1997 / Accepted: 8 December 1997     

Bond Dissociation Energies and Electronic Structures in a Series of Peroxy Radicals: A Theoretical Study

Quantum chemical calculations are performed to estimate the bond dissociation energies (BDEs) for 18 peroxy radicals. Since DFT methods are researched to have low basis sets sensitivity, these radicals are studied by utilizing the hybrid density functional theory (DFT) (B3LYP, B3P86, B3PW91 and PBE1PBE) in conjunction with the 6‐311G** basis set and the complete basis set (CBS‐Q) method. On the basis of comparisons of the computational results and the experimental values, we evaluate the effectiveness of above methods. It is demonstrated that CBS‐Q method is the best method for computing the reliable BDEs of C—OO bond, with the average absolute errors of 2.1 kcal/mol. So CBS‐Q method is suitable to predict accurate BDEs of C‐OO bond for peroxy compounds. The computational energy gaps between the HOMO and LUMO of studied compounds are almost identical from the point of view of stability and substantial HOMO‐LUMO gaps for all molecules suggest their electronic stability. In addition, substituent effect on the C—OO BDE of peroxy radicals is analyzed. It is noted that the effects of substitution on the C—OO BDE of peroxy radicals are significant. Our results will shed lights on future theoretical and experimental work.