Polarization's interaction and bound states of like charged particles in plasma

It has been shown that, as a result of the plasma polarization, there appears a minimum of potential energy of interaction of small like charged particles. With a use of the quasi-classical approximation, an existence condition of the bound state of two like unit charges has been obtained. An opportunity of electron pairs formation caused by the plasma polarization in high temperature superconductors is evaluated.     

MIDI! basis set for silicon, bromine, and iodine

The MIDI! basis set is extended to three new atoms: silicon, bromine, and iodine. The basis functions for these heteroatoms are developed from the standard 3-21G basis set by adding one Gaussian-type d subshell to each Si, Br, or I atom. The exponents of the d functions are optimized to minimize errors in the geometries and charge distributions that these basis functions yield when they are used in Hartree-Fock calculations with all atoms represented by the MIDI! basis. The MIDI! basis is defined to use five spherical d functions in a d subshell. We present a detailed comparison of such calculations to calculations employing six Cartesian d functions in each d subshell; these studies show that 5D and 6D options give very similar results for molecular geometries and dipole moments, not only for compounds containing Si, Br, and I but also for compounds containing N, O, F, P, S, and Cl. The MIDI! basis set is also tested successfully for hypervalent Si compounds. Received: 7 January 1998 / Accepted: 7 January 1998     

Peculiarities of atomic interaction in organic molecules of 3- and 4-coordinated phosphorus using ab initio calculations and Cl NQR

The results of ab initio calculations at the MP2/6-31G(d) level of molecules of the series ClPXX′ (X, X′=C₂H₅, N(CH₃)₂, OCH₃) and ClP(M)XX′ (M=O, S; X=CH₃, ?CH₃; X′=C₂H₅, OCH₃) with total optimization of their geometry were presented. They were compared with the obtained earlier results of such calculations at the RHF/6-31G(d) level and with experimental ³⁵Cl nuclear quadrupole resonance (NQR) spectra for these compounds. MP2/6-31G(d) calculations confirm non-inductive influence of heteroatoms on the geminal Cl atom in the non-linear three-atomic Cl–P–M groups. They agree to the conclusion that the abnormal correlation of the ³⁵Cl NQR frequencies for the compounds studied at different X, X′ and M is caused, in general, by the P–Cl bond polarization under the action of the geminal atom partial charges directly through the field. The satisfactory conformity between the experimental ³⁵Cl NQR frequencies and those estimated from 3p-components of the Cl atom valence p-orbitals calculated at the MP2/6-31G(d) level was obtained.     

A test of the Hirshfeld definition of atomic charges and moments

Summary The Hirshfeld population analysis scheme which carves the molecular density into atomic density contributions is tested. This method does not require a reference to basis sets or their respective locations, but is based on a different physical and mathematical footing. The advantage of this method is that, when the molecular deformation density converges to the true solution, the computed net charges will necessarily converge. This method also allows a straightforward definition for local moments. About 36 molecules have been used to compute the conventional Mulliken and Löwdin population analyses with STO3G, 6311G** and Dunning-Hay split valence basis sets. These results have been compared to the estimates provided by the Hirshfeld model. The charges found in the Hirshfeld method are smaller than those from the other methods.     

The multidimensional Luzin theorem

Each measurable map of an open set U⊂Rn to Rn is equal almost everywhere to the gradient of a continuous almost everywhere differentiable function defined on Rn that vanishes, together with its gradient, outside U.     

Depletion-induced phase separation in colloid-polymer mixtures

Phase separation can be induced in a colloidal dispersion by adding non-adsorbing polymers. Depletion of polymer around the colloidal particles induces an effective attraction, leading to demixing at sufficient polymer concentration. This communication reviews theoretical and experimental work carried out on the polymer-mediated attraction between spherical colloids and the resulting phase separation of the polymer-colloid mixture. Theoretical studies have mainly focused on the limits where polymers are small or large as compared to the colloidal size. Recently, however, theories are being developed that cover a wider colloid-polymer size ratio range. In practical systems, size polydispersity and polyelectrolytes (instead of neutral polymers) and/or charges on the colloidal surfaces play a role in polymer-colloid mixtures. The limited amount of theoretical work performed on this is also discussed. Finally, an overview is given on experimental investigations with respect to phase behavior and results obtained with techniques enabling measurement of the depletion-induced interaction potential, the structure factor, the depletion layer thickness and the interfacial tension between the demixed phases of a colloid-polymer mixture.     

密度泛函理论研究奈韦拉平结构,芳香性和电荷性质

利用密度泛函理论(DFT)和Hartree-Fock方法,分别在B3LPY/6-31G和HF/6-31G基组水平上优化了奈韦拉平的几何和电子结构.从奈韦拉平的几何结构出发,分析了其稳定性、芳香性和电子结构特性.计算结果表明,C_1点群对称性为基态奈韦拉平结构.对于奈韦拉平,芳香性大小按环4环3环1的顺序依次降低;环1、环3、环4具有芳香性,环2具有反芳香性.氮原子和碳原子形成sp~2杂化,氧原子形成sp杂化.     

甲硫氨酸-脑啡肽的活性位点

用ＡＭ１方法中计算静电势的ＰＭＥＰ子程序了甲硫氨酸－脑啡肽的活性位点。通过计算得到了整个分子的三维空间静电势分布和由静电势导出的各原子的电荷分布。进一步分析,确定模型分子活性位点为酪氨酸残在的叔氨原子和苯酚基、苯丙氨酸残基的苯基及部分氧原子。     

Ab initio cluster calculations of silica surface sites

Silica surface sites, which can be formed in cleavage processes, and their hydrolyzed counterparts are investigated with ab initio cluster calculations. Natural Bond Orbital (NBO) theory is used to characterize bonding around silica surface sites. Higher energy lone pairs of electrons on oxygen atoms either hyperconjugate to vicinal silanol/siloxane antibonding orbitals or backdonate electron density via donor–acceptor π-type bonding with participation of pd or p hybrids on silicon atoms. Upon substitution of hydroxyl groups of orthosilicic acid with silica monomers the strength of siloxane and silanol Si–O bonding increases as energies of bonding orbitals and contributions from p-orbitals decrease. Silanone sites and a complementary pair of silyl/siloxy radical sites are found to be the most stable geminal and single non-hydrolyzed sites, respectively. Atomic charges based on natural wavefunctions and on fitting to electrostatic potential, and characteristic bands of IR spectra associated with siloxane and silanol stretching vibrations of silica surface sites are reported.