两类双粒子函数建造的n电子波函数的扩展及其应用

讨论了具有辛群对称性的一类n电子波函数Ψ_(n, s_1, s_2)=NQ_+~s1(ξ) multiply from t=1 to 2 a_t~+_(a_t)G~+(ξ, r, v_(r+1)|0>的性质. 这类函数是两类双粒子函数建造的n电子波函数的扩展. 它们既适用于闭壳层, 也适用于开壳层体系. 用此类函数计算了Li_2、LiH-_2、CH+_3、OH~-等体系. 结果表明, 这类函数能较好地描述电子和关作用。     

DRASIN''''S PROBLEMS AND MUES'''' CONJECTURE

If f(z) is a transcendental meromorphic function, then we have(i) sum from a∈C to (δ(a,f)) + sum from b∈C to (δ(b,f~((k))))≤3 (k = 1,2,...);(ii) sum from b∈C to ( δ(b,f~((k))))≤1, k≥K,where K is a positive number depending only on f(z). The necessary and sufficient conditionto make the equality of (i) hold has also been obtained.     

Estimation of Critical Temperature of Thermal Explosion for Energetic Materials Based on Non-isothermal Kinetic Equation dα/dt =A_0 exp(bT)[1+(T–T_0 )b]f(α)

Critical temperature(T b ) of thermal explosion for energetic materials is estimated from Semenov’s thermal explosion theory and the non-isothermal kinetic equation dα/dt=A 0 exp(bT)[1+(T–T 0 )b]f(α) deduced via reasonable hypotheses, where T 0 is the initial point of the deviation from the baseline of DSC curve. The final formula is (T b –T e0 ){1+1/[1+( T b –T 00 )b]}=1. We can easily obtain the initial temperature(T 0i ) and onset temperature(T ei ) from the non-isothermal DSC curves, the values of T 00 and T e0 from the equation T 0i or ei =T 00 or e0 +α 1 β i +α 2 β i2 +…+α L–2 β iL –2 , i=1,2,…,L, the value of b from the equation: ln[β i /(T ei –T 0i )]=ln[A 0 /G(α)]+bT ei , so as to calculate the value of T b . The result obtained with this method coincides completely with the value of T b obtained by Hu-Yang-Liang-Wu method.     

STUDIES ON cis-trans-ISOMERIZATION AND REACTION KINETICS OF A μ, η~2-VINYL LIGAND IN A TRIOSMIUM CLUSTER

The dihydride cluster H_2O_(s_3)(CO)_(10) reacts with ethyne to give a cis-adduct [O_(s_3)H(μ,η~2-CH=CH_2)(CO)_(10)]. The high deuterated cluster D_2O_(s_3)(CO)_(10), the reaction of D_2O_(s_3)(CO)_(10)with ethyne C_2H_2 to form the vinyl product cluster [O_(s_3)D(μ, η~2-CH=CHD)(CO)_(10)], and thereaction of H_2O_(s_3)(CO)_(10) with the deuterated ethyne C_2D_2 to form [O_(s_3)H(μ,η~2-CD=CDH)(CO)_(10)] have been reported primarily in this paper. The two cis-adducts undergo cis-trans-isomerization of μ,η~2-vinyl ligands under a small amount of the nucleophile pyridine. Usingthe combination of deuteration and dynamic ~1H,~2H NMR spectra, we report the experimen-tal evidence determined by the dynamic ~1H, ~2H NMR spectra, mechanism, and kinetic dataof the isomerization.     

RuX^2+(X=O,H,N,C)分子离子的势能函数与稳定性

用密度泛函B3LYP方法对RuX^2+(X=O,H,N,C)分子离子进行了理认研究,结果表明：PuO^2+,PuH^2+,PuN^2+和PuC^2+分子离子能稳定存在,基态电子状态是X5^Σ^-(PuO^2+),X8^Σ^-(PuH^2+),X4^Σ^+(PuN^2+)和X9^Σ^-(PuC^2+),势能函数为Murrell-Sorbie热函数,并导出了相应的几何性质,力学性质和光谱数据。     

RuX^2+(X=O, H,N, C)分子离子的势能函数与稳定性

用密度泛函B3LYP方法对RuX^2+(X=O,H,N,C)分子离子进行了理认研究,结果表明：PuO^2+,PuH^2+,PuN^2+和PuC^2+分子离子能稳定存在,基态电子状态是X5^Σ^-(PuO^2+),X8^Σ^-(PuH^2+),X4^Σ^+(PuN^2+)和X9^Σ^-(PuC^2+),势能函数为Murrell-Sorbie热函数,并导出了相应的几何性质,力学性质和光谱数据。     

Electrospray ionization tandem mass spectrometric studies to probe the interaction of Cu(II) with amoxicillin简

This study describes the application of electrospray ionization mass spectrometry(ESI-MS) to investigate copper ion interaction with amoxicillin. ESI mass spectra of Cu–amoxicillin complexes show complex ions at m/z 828, 792, 753, 731, 428, 388 and 366 corresponding to [63Cu+(2A-H)+2H2 O]+, [63Cu+(2A-H)]+, [2A+Na]+, [2A+H]+, [63Cu+(A-H)]+, [A+Na]+and [A+H]+(where A = amoxicillin). Based on the observed m/z values of Cu–amoxicillin complex ions, it is found that the Cu–amoxicillin ratios are 1:1 and 1:2, and the copper ions exhibited three feasible coordination numbers(2, 4 and 6) with amoxicillin complexes. The structures and coordination numbers of copper–amoxicillin complex ions were probed from their collisionally activated dissociation(CAD) spectra. Based on these results, it is confirmed that the copper ions could form stable tetrahedral and octahedral complexes with amoxicillin. This study validates the applicability of ESI-MS for probing copper–amoxicillin complex ions.     

Theoretical Study on the Gas Phase Reaction of Au + with CS2

The reaction of Au+(1S,3D) with CS2 has been investigated at the B3LYP and CCSD(T) levels of theory.The identified reaction pathways revealed that the experimentally observed products,AuS+ and AuCS+,can be produced by the insertion of Au+ into C-S bond.The calculated energetics shows that the reactions on singlet surface lead to excited-state products,AuS+(1Σ) + 1CS and AuCS+(1Σ) + 1S,and have notable energy barriers,whereas the reactions on triplet surface producing the ground state products of AuS+(3Σ) + 1CS and AuCS+(1Σ) + 3S are energetically much more favorable.This result suggests that the minor formations of AuS+ and AuCS+ observed in the previous experiment under room-temperature condition should result from the reactions of excited-state Au+(3D) with CS2.Further,the possibility for singlet-triplet surface crossing was also discussed by approximately determining the crossing region.     

Ag@SiO2@Y2O3:RE3+（RE=Eu,Tb）核壳结构发光材料的制备与性能

采用均相沉淀法制备了Ag@SiO2@(Y,RE)(OH)CO3.H2O(RE=Eu,Tb)核壳结构微球,经过700℃焙烧后成功制备出Ag@SiO2@Y2O3:RE3+(RE=Eu,Tb)核壳结构发光材料。XRD谱图表明Ag核具有结晶良好的面心立方结构;SiO2层为无定型;Y2O3层为立方晶系。FTIR谱图表明核壳之间以化学键相结合。TEM照片表明合成了核壳结构的表面光滑的复合微球,分散良好,大小均匀,Ag核的粒径分布为50±20 nm;SiO2层的厚度为20～30 nm;Y2O3:RE3+(RE=Eu,Tb)层厚度约为125 nm。电子衍射图像表明Ag@SiO2@Y2O3:RE3+(RE=Eu,Tb)为多晶结构。UV-Vis光谱表明表面包覆使Ag离子的等离子体共振吸收峰发生了红移。荧光光谱表明Ag@SiO2@Y2O3:Eu3+具有Eu3+的特征红光发射,Ag@SiO2@Y2O3:Tb3+具有Tb3+的特征绿光发射,但是发光强度均比纯的Y2O3:RE3+有所减弱,说明贵金属的引入对稀土Y2O3:RE3+(RE=Eu,Tb)的发光起到了荧光猝灭的作用。     

Cr^3^+的水解聚合作用IV.两种"根+节"体系之间的过渡状态

The hydrolytic polymerization of chromium (III) ion in 0.040, 0.060, 0.080 and 0.160M Cr(NO3)3 solutions was studied pH-metrically in the medium of 0.5M NaNO3 at 40+/-1 C. The average number of OH- bound per Cr^3^+ at different pH was designated as Z, the gighest value of Z was found to be about 1.0. A family of curves of Z(pH)B, each at a definite concentration B of Cr(NO3)3, was obtained. The values of both B and pH were determined from the curves and a linear relationship between -lgB and pH was found for each value of Z. From the slope of each curve of-lgB(pH)z, a value of t was obtained, which increased from 1.51 to 2.06 when Z increased from 0.10 to 1.0. This implied that the polymerized hudrolysis products were of mixed types. The data of different Z value were treated by three different methods, namely, "core + links" method, project strip method and "homoligand formation constant" method. The results obtained showed the existence of "core + links" compounds not only with two hydroxyl bridges as Cr (Cr(OH)2)n^(^3^+^n^)^+(n = 1,2,3) but also with both one and two hydroxy bridges as Cr3(OH)3, indicating that the present system was a transition from t = 2 to t = 1. The hydrolysis constants of the above compounds are as follows: lgβ = -4.19, lgβ33 = -5.28, lgβ = -8.23, lgβ64 = 12.28. The above results are in agreement with those obtained at low and medium concentration of Cr(NO3)3. Furthermore, the constants obtained by means of different methods are in good agreement with each other as well as with those reported in previous papers.     

Binary (e,2e) spectroscopic study of carbonyl sulfide and the momentum-space chemistry of CO2, CS2 and OCS

The valence-shell binding energy spectra (8–44 eV) and molecular orbital momentum distributions of OCS have been studied by non-coplanar symmetric binary (e,2e) spectroscopy. Existing theoretical binding energy spectra calculated using the many-body 2ph-TDA Green's function (GF) method and using the symmetry-adapted cluster (SAC) on method are compared with the experiment. Intense many-body structure in the measured and calculated binding energy spectra indicates the general breakdown of the independent particle ionization picture. Experimental momentum distributions are compared with those calculated using ab initio SCF wavefunctions of minimal basis set quality and of near Hartree—Fock quality. Excellent agreement between the experimental momentum distributions and those calculated by the near Hartree—Fock wavefunction is obtained for the three innermost valence orbitals: 8σ, 7σ and 6σ. The correct order of the close lying outer-valence 2π and 9σ orbitals is unambiguously identified from the shapes of the measured momentum distributions. Momentum and position contour density maps computed from theoretical wavefunctions of near Hartree—Fock quality are used to interpret the shapes and atomic characters of the observed momentum distributions. The momentum densities of the outermost-valence antibonding π orbitals and of the outermost-valence bonding σ orbitals of the linear triatomic group: CO₂, CS₂ and OCS are compared respectively with each other. The associated chemical trends are discussed within the existing framework of momentum-space chemical principles.     

Electron densities from the Brueckner Doubles method

Summary The concept of the Brueckner orbital is examined, following a resurgence of interest in wavefunctions constructed from them. The distinction between Self Consistent Field, Natural and Brueckner orbitals are discussed. Total electron densities are calculated for several examples, and correlation densities are studied. It is found that the Brueckner orbitals are more localised than SCF orbitals. The total electron density constructed from the Brueckner reference determinant with Brueckner orbitals gives qualitatively similar pictures as other correlated methods. Brueckner orbitals are found to show dissociation well.     

Depurated inversion method for orbital‐specific exchange potentials

This work presents exchange potentials for specific orbitals calculated by inverting Hartree–Fock wavefunctions. This was achieved by using a Depurated Inversion Method. The basic idea of the method relies on the substitution of Hartree–Fock orbitals and eigenvalues into the Kohn–Sham equation. Through inversion, the corresponding effective potentials were obtained. Further treatment of the inverted potential should be carried on. The depuration is a careful optimization which eliminates the poles and also ensures the fullfilment of the appropriate boundary conditions. The procedure developed here is not restricted to the ground state or to a nodeless orbital and is applicable to all kinds of atoms. As an example, exchange potentials for noble gases and term‐dependent orbitals of the lower configuration of Nitrogen are calculated. The method allows to reproduce the input energies and wavefunctions with a remarkable degree of accuracy.     

The momentum distribution in some electronic states of the neutral and singly ionized nitrogen molecule

Momentum densities for the N₂ molecule are investigated. Differences between the ground state and low-lying excited states as well as the effects of ionization are discussed. The densities are calculated by taking Fournier transforms of natural spin orbitals of wavefunctions calculated in a minimal basis with configuration interaction.     

The HeHe Coulomb and exchange interaction energy

The Coulomb and exchange interaction energy between two helium atoms is calculated, increasing systematically the basis set, by a supermolecular method which excludes the superposition error by using non-orthogonal orbitals. At 5.6 bohr an energy limit of 9.69 K is found at the Hartree-Fock level; for correlated wavefunctions the corresponding value is 11.86 K using only s orbitals, 10.70 K including p orbitals and 10.58 K adding d orbitals.     

Study of molecular orbitals in momentum space

Molecular orbitals are presented in configuration and momentum representations. We propose to minimize large oscillations present in calculated momentum wavefunctions by cancelling position factor phases. We illustrate the distortion introduced by different electron translation factors and show continuum states and dynamical wavefunctions in momentum coordinates. © 2001 John Wiley & Sons, Inc. Int J Quantum Chem, 2001     

An (e,2e) study of ammonia: Binding energies and momentum distributions of valence electrons

The valence shell electronic structure of NH₃ is studied in an (e,2e) experiment with symmetric non-coplanar geometry. The momentum distributions obtained for the separate orbitals are compared with those calculated from several approximate wavefunctions. The 3a₁ distribution is found to be particularly sensitive to the form of the wavefunction.     

Localized orbitals in hydrogen bonded systems

The localized molecular orbitals for a variety of hydrogen bonded systems are obtained from their INDO and CNDO/2 wavefunctions. The bonding of these systems is qualitatively discussed in light of the localized orbitals.     

Are atoms sic to molecular electronic wavefunctions? II. Analysis of fors orbitals

Electronic wavefunctions that describe molecules in the full optimized reaction space (FORS) are multiconfigurational wavefunctions which are invariant under non-singular linear transformations of the occupied molecular orbitals. They offer therefore a considerably wider scope for orbital interpretations than the single-configuration Hartree-Fock approximation. For example they can be analyzed in terms of natural MOs and in terms of localized MOs. The latter turn out to be remarkably atomic in character and a new localization procedure can be formulated which yields atom-adapted molecular orbitals. These have the character of minimal-basis-set AOs that are optimally adapted to the molecular environment and furnish an unambigious atomic population analysis. On the other hand, chemically adapted molecular orbitals can be defined by an appropriate compromise between natural orbitals and localized orbitals. The freedom to use, as configuration-generating molecular orbitals, atom-adapted FORS MOs as well as chemically adapted FORS MOs makes FORS wavefunctions particularly suitable for chemical interpretations. The ensuing analysis establishes the minimal basis set (in molecule-adapted form) as a theoretically sound concept for the understanding of accurate molecular wavefunctions. An illustrative example is discussed.