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Accurate studies on the full vibrational energy spectra and molecular dissociation energies for some electronic states of N_(2)molecule

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Science china(Physics,Mechanics & Astronomy) 2005年第4期48卷 385-398页

作者： REN Weiyi1,2, SUN Weiguo1, HOU Shilin3.& FENG Hao4 1. Institute of Physics, College of Chemical Engineering, sichuan University, chengdu 610065, china 2. Institute of Theoretical Physics, Xihua Normal University, Nanchong 63.002, china 3. Department of Physics, china Oceanography University, Qingdao 266003. china 4. College of Physics, sichuan University, chengdu 610065, china 1. Institute of Physics College of Chemical Engineering Sichuan University 610065 Chengdu China 2. Institute of Theoretical Physics Xihua Normal University 637002 Nanchong China 3. Department of Physics China Oceanography University 266003 Qingdao China 4. College of Physics Sichuan University 610065 Chengdu China

It is usually very difficult to directly obtain molecular dissociation energy De and all accurate high-lying vibrational energies for most diatomic electronic states using modern experimental techniques or quantum theories, and it is also very difficult to give accurate analytical expression for diatomic molecular dissociation energy. This study proposes a new analytical formula for obtaining accurate molecular dissociation energy based on the LeRoy and Bernstein’s energy expression in dissociation limit. A set of full vibrational energy spectra for some electronic states of N2 molecule are studied using the algebraic method (AM) suggested recently, and the corresponding accurate molecular dissociation energies are evaluated using the proposed new formula and high-lying AM vibrational energies. The results show that the AM spectra and the new theoretical dissociation energies agree excellently with experimental data, and thereby providing a new physical approach to generating accurate dissociation energies for electronic states of diatomic molecules.

关键词： vibrational energy, dissociation energy, nitrogen molecule, algebraic method.

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基于阴极再循环的燃料电池系统建模与动态性能分析

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同济大学学报（自然科学版） 2024年第4期52卷 619-627页

作者：刘泽许思传同济大学汽车学院上海201804

阴极再循环通过调节电堆进气中的氧分压和水蒸气分压特别适合解决车用燃料电池系统在低怠速工况下的缺水和高电势问题。建立了一个带阴极再循环功能的燃料电池非线性系统控制模型,使用阴极再循环泵将阴极出口的气体引回到空压机出口实... 详细信息

阴极再循环通过调节电堆进气中的氧分压和水蒸气分压特别适合解决车用燃料电池系统在低怠速工况下的缺水和高电势问题。建立了一个带阴极再循环功能的燃料电池非线性系统控制模型,使用阴极再循环泵将阴极出口的气体引回到空压机出口实现了进气加湿和氧分压调节。该模型可捕捉由阴极再循环带来的一系列动态响应。结果表明,阴极再循环可以极大地改善小电流密度下的进气湿度,随着阴极再循环比的增加,加湿动态响应加快;氧分压调节的动态响应较慢,但通过合理的阴极再循环策略仍能将小电流密度下的高电势限制在0.8V以下。通过抑制小电流密度下的电压,实现了50%的怠速功率降幅。

关键词：车用燃料电池系统阴极再循环面向控制建模动态性能

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Studies on the analytical potential energy function of diatomic molecular ion XY^+ using variational method

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Science china(Physics,Mechanics & Astronomy) 2004年第2期47卷 154-164页

作者： LIU Guoyue1,3. SUN Weiguo1,2 & FENG Hao1 1. Institute of Physics, sichuan University, chengdu 610065, china 2. College of Chemical Engineering, sichuan University, chengdu 610065, china 3. Mianyang Teacher抯 College, Mianyang 621000, china Correspondence should be addressed to Sun Weiguo (e-mail: weiguosun@*** or guoyueliu@ ***) 1. Institute of Physics Sichuan University 610065 Chengdu China 2. Mianyang Teacher's College 621000 Mianyang China 3. College of Chemical Engineering Sichuan University 610065 Chengdu China

A new analytical potential energy function for diatomic molecular ion XY+ is proposed based on the energy consistent method (ECM). The Coulomb potential included in the new ionic potential contains multipole corrections, converges quickly and is variationally, changeable. The new potential and the ECM are applied to variationally studying the potential energies of eight electronic states of several diatomic molecular ions: the A2π state of CO+, the X2∑ g + state of Li 2 + , the X2∑ g + state of He 2 + , the 12∏u state of Na 2 + , the A2∏u state of N 2 + , the X1∑+ state of KrH+, the X2∑+ state of SiO+ and the A2π state of SO+ ion. The present results agree excellently with the experiment-based Rydberg-Klein-Rees (RKR) potentials, and are superior to the commonly used Huxley-Murrell-Sorbie (HMS) analytical potentials, and are better in some cases than some quantum mechanicalab initio potentials in the ionic asymptotic and dissociation regions.

关键词： potential energy, diatomic ion, electronic state, variational method.

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CMC surfaces in the hyperbolic 3.space

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Chinese Science Bulletin 1998年第7期43卷 547-550页

作者： YU Zuhuan 1, 2 and LI Zhenqi 1, 3.1. Institute of Mathematics, Fudan University, Shanghai 20043., china 2. Department of Mathematics,sichuan Union University, chengdu 610064, china 3. Department of Mathematics, Nanchang University, Nanchang 3. nstitute of Mathemalics Fudan University Shanghai China Department of Mathematics Sichuan Union University Chengdu China Department of Mathematics Nanchang University Nanchang China

CMC-H surfaces satisfying H≥1 are studied. It is proved that these surfaces possess a natural representation which is a generalization of the Bryant’s result.

关键词： hyperbolic space CMC surface Weierstrass representation.

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ON THE SPACES OF THE MAXIMAL POINTS

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Chinese Annals of Mathematics,Series B 2003年第3期24卷 303-308页

作者： LIANG JIHUA LIU YINGMING Institute of Mathematics, sichuan University, chengdu 610064, china. Institute of Mathematics, sichuan University, chengdu 610064, china. sichuan Univ Math Inst Chengdu 610064 Peoples R China

For a continuous domain D, some characterization that the convex powerdomain CD is adomain hull of Max(CD) is given in terms of compact subsets of D. And in this case, it isproved that the set of the maximal points Max(CD) of CD with the relative Scott topology ishomeomorphic to the set of all Scott compact subsets of Max(D) with the topology induced bythe Hausdorff metric derived from a metric on Max(D) when Max(D) is metrizable.

关键词： Convex powerdomain Maximal points Hausdorff metric

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GOPPA CODES FROMARTIN-SCHREIER FUNCTION FIELDS

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Chinese Annals of Mathematics,Series B 1994年第3期15卷 311-320页

作者： HAN WENBAO(Depatmellt of Mathematics, sichuan Universityt chengdu 610064, sichuan, {3..) sichuan UNIV DEPT MATHCHENGDU 610064PEOPLES R CHINA

A class of Goppa codes is constructed by using Artin-Schreier function fields, of which thenumber of prime divisors of degree olle is obtained for some cases, and their minimum distance,duallty and selfeduality are discussed. At laSt the sublield subcode of Artin-Schreier code isinvestigated, the true dimension under certain conditions is given and the covering radius andminimum distance are estimated.

关键词： Artin-Schreier functioll field Goppa code Self-duality.

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APPLICATIONS OF THE THEORY OF CAMINA GROUPS

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Chinese Annals of Mathematics,Series B 1999年第1期20卷 39-50页

作者： REN YONGCAI(Department of Mathematics,sichuan Union University,chengdu 610064,china) sichuan Union Univ Dept Math Chengdu 610064 Peoples R China

In this papert the author first gives a conjugacy-class version of Camina hypotheses andthen applys the Camina group theory to discussing two classes of finite groups.

关键词： Camina groups Applications Characters

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Electronic structure and magnetism of R(Fe,Si)_(12) (R=Y,Nd)

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Science china(Physics,Mechanics & Astronomy) 2006年第2期49卷 195-202页

作者： SUN Guang’ai1, CHEN Bo1, DU Honglin2, FAN Zhijian1, GAO Tao3.& QI Xinhua3.. Institute of Nuclear Physics and Chemistry, china Academy of Engineering Physics, Mianyang 621900, china 2. Department of physics, Peking university, Beijing 100871, china 3. Institute of Atomic and Molecular Physics, {3. University, chengdu 610065, china 1. Institute of Nuclear Physics and Chemistry China Academy of Engineering Physics Mianyang 621900 China 2. Department of physics Peking university Beijing 100871 China 3. Institute of Atomic and Molecular Physics Sichuan University Chengdu 610065 China

The newly developed full-potential linearized augmented plane wave (LAPW) and local orbitals (lo) based on standard APW methods are briefly introduced, and the structure and magnetic properties of R(Fe, Si)12 compounds (R = Y, Nd) are calculated using the method. The distribution of Si at different sites is analyzed based on total energy of one crystal unit with structure having been optimized. The characters of magnetic mo-ments, total density of states (TDOS) and partial density of states (PDOS) for different crystal sites Si occupies are obtained and analyzed. The results show that the total mag-netic moments of RFe10Si2 (R = Y, Nd) are larger than those of RFe10M2 (M = Ti, V, Cr, Mn, Mo and W) and the hybridization mechanism is seen as follows. Si(8j) reduce the mag-netic moments of Fe at three sites, however, Si(8f) mainly reduce the magnetic moments of Fe(8i) and Fe(8j) atoms. The Curie temperature is markedly enhanced by the introduc-tion of Si atoms according to spin fluctuation of DOS at Fermi level.

关键词： (L)APW+lo method R(Fe Si)12(R = Y Nd) magnetic moment Density of state.

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Role of uterine natural killer cells in angiogenesis of human decidua of the first-trimester pregnancy

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Science china(Life Sciences) 2008年第2期51卷 111-119页

作者： LI GuoHua1, HUANG Wei1, XIA QingJie2, YANG KaiXuan3. LIU RaoFang1, ZHU HuiLi1 & JIANG Wei4 1 Department of Reproductive Endocrinology, West china Second University Hospital, sichuan University, chengdu 610041, china 2 West china Research Laboratory of Molecular Genetics, sichuan University, chengdu 610041, china 3.Department of Pathology, West china Second University Hospital, sichuan University, chengdu 610041, china 4 Department of Pathology, West china Hospital, sichuan University, chengdu 610041, china 1. Department of Reproductive Endocrinology West China Second University Hospital Sichuan University Chengdu 610041 China 2. West china Research Laboratory of Molecular Genetics Sichuan University Chengdu 610041 China 3. Department of Pathology West China Second University Hospital Sichuan University Chengdu 610041 China 4. Department of Pathology West China Hospital Sichuan University Chengdu 610041 China

Decidualization is accompanied by extensive angiogenesis, which is an essential step in the maturation of new blood vessels in mammalian pregnancy. The purpose of this study was to determine a distribution of uNK cells (CD56+ uNK or CD56bright cells) in human decidua of the first-trimester pregnancy, and investigate whether uNK cells in human decidua could express vascular endothelial growth factor (VEGF-A) and/or angiopoietin2 (Ang2). Our immunohistochemical staining results demonstrated that a great amount of uNK (CD56+) cells scattered throughout the decidual stroma and near endometrial gland and spiral vessels in human decidua. The protein expression of VEGF-A and Ang2 was detected in decidual stroma cells, capillary endothelial cells and glandular cells in tissue specimens. There was a positive correlation between microvessel density (MVD) and the number of the CD56-positive uNK cells in decidual stroma, and also between the number of the CD56-positive uNK cells and VEGF-A protein expression in the tissue. In addition, we found that uNK cells in human decidua could express VEGF-A mRNA, but not Ang2 mRNA, in isolated uNK cells in human decidua of the first-trimester gestation by combination of LCM and Nested-PCR. Our study indicated that uNK cells, through expressing VEGF-A, may play an important role in the angiogenic response at the time of human decidualization and early placenta development.

关键词： uterine natural killer cells decidua angiogenesis VEGF Ang2

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TOEPLITZ OPERATORS AND ALGEBRAS ON DIRICHLET SPACES

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Chinese Annals of Mathematics,Series B 2002年第3期23卷 385-396页

作者： CAO GUANGFU Department of Mathematics, sichuan University, chengdu 610064, china. Department of Mathematics Sichuan University Chengdu 610064 China

The automorphism group of the Toeplitz C^*- algebra, J(C^1), generated by Toeplitz op-erators with C^1-symbols on Dirichlet space D is discussed; the K0, K1-groups and the first cohomology group of J(C^1) are computed. In addition, the author proves that the spectra of Toeplitz operators with C^1-symbols are always connected, and discusses the algebraic prop-erties of Toeplitz *** particular, it is proved that there is no nontrivial selfadjoint Toeplitz operator on D and Tψ^* = Tψ^- if and only if Tψ is a scalar operator.

关键词： Dirichlet space Toeplitz operator Toeplitz algebra

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