矩阵损失下随机回归系数和参数的非齐次估计的可容许性

考虑线性模型 Y=Xβ+ε,Y 是可观察的 n 维向量,ε和β是不可观察的 n 维和 p 维随机向量;E(β)=Aα,VAR(β)=σ~2△≥0;E(ε)=0,VAR(ε)=σ~2V≥0;E(εβ＇)=0;X,A,△,V 皆为已知矩阵;α∈R~k,σ>0皆为未知参数,本文首次提出矩阵损失函数,并给出了(Sα,Qβ)的估计(L_1Y+α,L_2Y+b)在非齐次估计类中可容许的充要条件。     

过渡金属化合物的CNDO计算IV——络合物M(CO)_4~(n-)和 M(N_2)_4~(n-)的电子结构

本文对 CNDO(sp-d)方案作了新的改进,改进的要点是把过渡金属原子基函数区分成 s、p、d 三类轨道,据此选择了相应的参数.在 TQ-16机上已实现ALGOL 语言程序.文中报导了 M(CO)_4~(n-)和 M(N_2)_4~(n-)(M=Ni,Co,Fe)电子结构的计算结果,讨论了各 MO 的组成,并结合计算的 Mulliken 和 Wiberg 键序数值讨论了络离子的γ_(MC)及γ_(CO)规律.基于计算的分子轨道能级对 Ni(CO)_4的光电子能谱进行了指定.     

A STUDY ON ELECTRONIC STRUCTURE OF BIS（2，4—DIMETHYLPENTADIENYL） TETRAMETHYLENEDIAMINE POTASSIUM COMPLEX ANION

<正> Electronic structure of the title compound is studied based on the CNDO/ 2 calculations. The bonding interactions in the complex are discussed on the basis of molecular orbital components, charge distribution and bond orders. The calculated results and the discussion are beneficial to the understanding of the structure and properties of this sandwich-like comppund.     

定域分子轨道模型——含H、C、N、O有机小分子的研究

应用STO_(-3)G从头算方法和Fostre-Boys定域化分子轨道程序, 我们研究了20多个有机小分子(含H、C、N,O)的定域化分子轨道, 获得了它们的能量和相互作用参数。采用定域分子轨道模型和统一的参数, 对正醇类分子进行了计算, 与光电子能谱数据比较, 得到的电离能的计算结果是相当令人满意的。     

NaNO_2晶体线性和非线性光学系数的计算

使用从头计算平面波赝势方法,计算了NaNO2晶体电子能带结构,并使用改进的倍频公式计算了它的线性折射率和静态二级非线性系数,所得到的结果和实验值相符.采用实空间原子切割方法分析了阳离子和阴离子基团对光学性质的贡献.计算表明(NO2)-基团对双折射率和倍频系数的贡献占主要地位,从而进一步验证了阴离子基团理论的正确性.     

锂钠复合超价氧化物的电子结构和稳定性

采用6-31G^*基组,用B3LYP密度泛函方法,对OLi_nNa₂(n=1-4)及OLi₂Na系列分子的所有可能结构进行了几何优化和频率计算,得到各分子的几种能量极小点.除OLi₄Na₂采取D_2d对称性外,该系列其它4种分子都采取C_2v对称作为它们的能量最低点.OLi_nNa₂(n=2,3,4)分子解离出一个Li原子的离解能分别为212.25432,68.49208和245.55896kJ/mol,表明此类分子在热力学上是相当稳定的.     

胺丶醇丶醚类化合物气相碱性的CNDO/2计算

The gas-phase basicities of compounds can be measured by their proton affinities. In this paper we he calculated the gas-phase basicities of about seventy compounds containing N or O by means of the method CNDO/2. For the alkylamines, alcohols, ethers and carbonyl compounds, computational results agree qualitatively with the experimental values. The sequences of gas-phase basicities for the series of these compounds are as follows: Et2NH>Me3N>t-BuNH2>Me2NH>i-PrNH2>n-BuNH2>n-PrNH2>EtNH2>MeNH2>NH3; Et2O>EtOMe>t-BuOH>Me2O>i-PrOH>n-BuOH>n-PrOH>EtOH>MeOH>H2O; n-PrCHO>EtCHO>MeCHO>HCHO; n-BuCO2H>n-PrCO2H>EtCO2H>MeCO2H>HCO2H; HCO2Bu-n>HCO2Pr-N>HCO2Et>HCO2Me>HCO2H Obviously, alkyl substitution plays a role to increase the gas-phase basicities. The squence of increasing effectiveness is t-Bu>i-Pr>n-Bu>n-Pr>Et>Me For the amines containing heteroatoms investigated here, the gas-phase basicities have the following order repectively: CH3NH2>NH2NH2>NH2OH>NH2F>NHF2>NF3 The gas-phase basicities of these compounds change regularly with various substitutents. For the aliphatic compounds, the gas-phase basicity increases with thosizo and the degree of branching of the alkyl groups. For the amines containing heteroatoms, the gas-phase basicity decreases with increasing of the electro-negativity of the substitutent. For the relationship between the gas-phase basksity and the charge distribution and the ionization potentials, the conclusions are as follows: (1) The gas-phase basicities of the homologous compounds are proportional to the electron density of the atom N or O, but those of Rn NH3-n and Rn OH2-n are inversely proportional to the electron denisty of atom N or O. This shows that the base strength of the molecule cannot be determined solely by the electron density of the individual atom. (2) In the protonation reaction the alkyl groups spread the charges from the charged center. This effect enables protonated cations to become more stable because of the charge distribution av     

过渡金属双核夹心络合物的电子结构与稳定性的理论研究

用EHMO法讨论了过渡金属双核夹心络合物的电子结构与稳定性的关系。提出这类络合物可用分子片CpMM'Cp中金属的xz(或yz)能级为标准值,凡含有与Cp^-环等电子的五元或六元中间配位环,若环最高占据能级接近或高于此标准值,络合物稳定;反之,常不稳定。用它检验八种中间配位环,结果与实验一致。