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Predictions of Reactivities of the Outer-Sphere Electron Exchange Reactions in Solution

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Chinese Chemical Letters 1997年第6期8卷 505-508页

作者： Zheng Yu ZHOU Jian XU (department of Chemistry, qufu normal university,qufu,shandong,{4.) qufu normal UNIV DEPT CHEMSHANDONG 273165PEOPLES R CHINA

One of the crucial parameters determining the electron transfer rate, Franck-Condon factor, ws evaluated quantitatively for electron exchange reactions involving hexaquo-metal ions. Adopting appropriate spectroscopic and photoemission data, reasonable results were obtained and compared in terms of classical and quantum-mechanical theory. Investigation shows that for such reactions occurred at room temperature, nuclear tunneling effects increase the absolute rates by several times, which are not dramatic but still should be considered for complementary purpose.

关键词： REORGANIZATION IONS

Optical waveguides in LiNbO_3 and stoichiometric LiNbO_3 crystals by proton exchange

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Science china.Physics,Mechanics & Astronomy) 2008年第10期51卷 1479-1488页

作者： LI ShiLing College of Physics and Engineering, qufu normal university, qufu 273165, china.School of Physics and Microelectronics, shandong {4., Jinan 250100, china 1. College of Physics and Engineering Qufu Normal University Qufu 273165 China 2. School of Physics and Microelectronics Shandong University Jinan 250100 China

The formation of optical planar waveguides in LiNbO3 and stoichiometric LiNbO3 crystals by proton exchange was reported. The prism-coupling method was used to characterize the dark-line spectroscopy at the wavelength of 633 and 1539 nm, re-spectively. The mode optical near-field outputs from proton-exchanged LiNbO3 and SLN waveguides at 633 nm were presented. The mode field from stoichiometric LiNbO3 (SLN) waveguide is lighter and more uniform than that from LiNbO3 waveguide, which means the quality of the waveguide in SLN crystal is better than that of the LiNbO3 waveguide. For proton-exchanged LiNbO3 waveguides, the evo-lution of the refractive index profile with annealing was presented. The disorder profiles of Nb atoms in proton-exchanged LiNbO3 waveguides were obtained by Rutherford backscattering/channeling technique. It is shown that the longer the exchange time, the larger the displacement of Nb atoms.

关键词： optical waveguide proton exchange LiNbO3 crystal stoichiometric LiNbO3 crystal

A Hybrid of Theorems of Goldbach and Piatetski-Shapiro

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Chinese Annals of Mathematics,Series B 2006年第3期27卷 341-352页

作者： Xianmeng MENG Mingqiang WANG School of Computer Science and Technology, shandong university, Jinan 250100, china.department of Statistics and Mathematics, shandong Finance Institute, Jinan 250014. china. School of Computer Science and Technology, shandong university, Jinan 250100, china.department of Mathematics, qufu normal university, qufu 273165, shandong, china. School of Computer Science and Technology Shandong University Jinan 250100 China department of Statistics and Mathematics Shandong Finance Institute Jinan 250014 China department of Mathematics Qufu Normal University Qufu 273165 Shandong China

It is proved that for almost all sufficiently large even integers n, the prime variable equation n = p1 ＋ p2, p1 ∈ Pγ is solvable, with 13/15 〈γ≤ 1, where Pγ = {p ｜p = [m^1/γ], for integer m and prime p} is t... 详细信息

关键词： Circle method Sieve method Goldbach problem

Synthesis and Magnetism of μ-IsophthalatoOxovanadium(Ⅱ) Binuclear Complexes

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Chinese Chemical Letters 1997年第6期8卷 555-556页

作者： Cui Wei YAN Yan Tuan LI Dai Zheng LIAO (department of Biology, qufu normal university, qufu shandong, {4. Deportment of Chemistry, qufu Mirmal university, qufu shandong, {4. department of Chemistry, Minkai university, Tianjin, 300071) department of Biology Qufu Normal University Qufu Shandong 273165 China department of Chemistry Qufu Normal University Qufu Shandong 273165 China department of Chemistry Nankai University Tianjin 300071 China

Two μ-isophthalato oxovanadium(Ⅱ) binuclear complexes, [(VO)2-(IPHTA) (phen)2] SO4.(1) and [(VO)2 (IPHTA) (NO2-phen)2 ]SO4.(2) were syn thesized and characterized. The magnetism of complex (1) was studied

关键词： Synthesis and Magnetism of IsophthalatoOxovanadium Binuclear Complexes

Inner-Sphere Reorganization Eneregy For Metal Ion-Benzene Complex in Electron-Transfer Process

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Chinese Chemical Letters 1997年第8期8卷 729-732页

作者： Jian XU Zheng Yu ZHOU Yan He GUO(department of Chemistry,qufu normal university, qufu, shandong, 273165) department of Chemistry Qufu Normal University Qufu Shandong 273165 China

Based on the capture force field potential model and the adiabatic invariant proposed by Bates, adopting improved average dipole orientation (IADO) theory, the force constants between transition metal ions and benzene (bz) and also a series of inner-sphere reoganization energy (REin) were calculated. The reasons for the differences between theoretical predictions and experimental results were discussed.

关键词： Co Ag Inner-Sphere Reorganization Eneregy For Metal Ion-Benzene Complex in Electron-Transfer Process

On maximal injective subalgebras in a wΓ factor

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Science china.Mathematics 2008年第11期51卷 2089-2096页

作者： HOU ChengJun School of Mathematical Sciences, qufu normal university, shandong 273165, china 1. School of Mathematical Sciences Qufu Normal University Qufu Shandong 273165 China

Let $ \mathcal{L} $ (F ?) × α ? be the crossed product von Neumann algebra of the free group factor $ \mathcal{L} $ (F ?), associated with the left regular representation λ of the free group F ? with the set {u r : r ∈ ?} of generators, by an automorphism α defined by α(λ(u r )) = exp(2πri)λ(u r ), where ? is the rational number set. We show that $ \mathcal{L} $ (F ?) × α ? is a wΓ factor, and for each r ∈ ?, the von Neumann subalgebra $ \mathcal{A}_r $ generated in $ \mathcal{L} $ (F ?) × α ? by λ(u r ) and υ is maximal injective, where υ is the unitary implementing the automorphism α. In particular, $ \mathcal{L} $ (F ?) × α ? is a wΓ factor with a maximal abelian selfadjoint subalgebra $ \mathcal{A}_0 $ which cannot be contained in any hyperfinite type II1 subfactor of $ \mathcal{L} $ (F ?) × α ?. This gives a counterexample of Kadison’s problem in the case of wΓ factor.

关键词： von Neumann algebra maximal injective subalgebra crossed product wΓ factor 4.L10

Scaling for Experimental Inner-Sphere Reorganization Energy of Hydrated Ions via Accurate Potential Function

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Chemical Research in Chinese Universities 1995年第2期11卷 137-144页

作者： BU Yu-xiang (department oj Chemistry,qufu normal university,qufu,273165)DENG Cong-hao (department of Chemistry,shandong university,Jinan,250100) qufu normal UNIV DEPT CHEMQUFU 273165PEOPLES R CHINA shandong UNIV DEPT CHEMJINAN 250100PEOPLES R CHINA

Reported here are several new calculation methods for the inner-sphere reorganization energy of hydrated metal ions involved in electron transfer *** is based on the self-exchange model of reorganization and utilizes the more exact potential functions between central metal ion and the inner-sphere *** parameters involved are determined via the spectroscopic and thermodynamic *** predictions of the inner-sphere reorganization energies from those models agree well with the photoemission experimental results.

关键词： Hydrated metal ion Inner-sphere reorganization energy self-exchange reaction Accurate potential function

Uniquely ergodic property of minimal probability measure in positive definite Lagrangian systems

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Science china.Mathematics 2006年第12期49卷 1864-1866页

作者： CHEN Jing & BAI Yuzhen department of Mathematics, Nanjing university, Nanjing 210093, china.department of Mathematics,{4., qufu 273165, china 1. department of Mathematics Nanjing University Nanjing 210093 China 2. department of Mathematics Qufu Normal University Qufu 273165 China

Mane conjectured that every minimal measure in the generic Lagrangian systems is uniquely ergodic. In this paper, we will show that the answer to the Mane's conjecture is negative by analyzing the structure of the sup... 详细信息

关键词： minimal probability measure,uniquely ergodic,Mather theory,Lagrangian systems.

The Existence of Entropy Solutions to Some Parabolic Problems with L^1 Data

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Acta Mathematica Sinica,English Series 2002年第1期18卷 119-128页

作者： LI Feng Quan department of Mathematics. qufu normal university, shandong 273165. P. R. {4. department of Mathematics Qufu Normal University Shandon P. R. China

In this paper, an existence result of entropy solutions to some parabolic problems is established. The data belongs to L^1 and no growth assumption is made on the lower-order term in divergence form.

关键词： Existence Parabolic problems Entropy solutions L^1 Data