磺化酞菁镓、钒、铝、锌在水、醇、胶束中的聚合行为的研究

采用分光光度法研究了四磺化酞菁镓,钒,铝和二磺化酞菁锌在水,醇－水,胶束体系中的聚合行为,测定了配合物的二聚常数。结果表明,ＡｌＴＳＰｃ形成二聚体是一个慢反应,而ＧａＴＳＰｃ,ＺｎＢＳＰｃ和ＶＯＴＳＰｃ的二聚体形成是快速过程。     

CEL溶液中二磺酸基二邻苯二甲酰亚胺甲基酞菁锌的电子吸收和荧光光谱

两亲性金属酞菁配合物二磺酸基二邻苯二甲酰亚胺甲基酞菁锌（ＺｎＰｃＳ２Ｐ２）能有效选择地滞留在组织中,是一种新型的光动力治疗肿瘤的光敏剂。有关酞菁化合物治疗肿瘤的机制目前还不清楚,而对ＣＥＬ溶液中该光敏剂状态的研究对阐明其机制有重要意义,本文对不同浓度ＣＥＬ溶液中的二磺酸基二邻苯二甲酰胺甲基酞菁锌的吸收光谱和荧光光谱进行了研究,探讨了它在溶液中的聚集状态,通过分析确定其聚集态为二聚体,并获得其平衡常数和单体的摩尔吸光系数。     

酞菁锌参杂二氧化硅凝胶基质的光谱学特征

利用溶胶-凝胶技术将四磺化酞菁锌（ZnPcS4）成功地引入到了二氧化硅凝胶基质中，制备了均匀掺杂的有机/无机复合干凝胶。研究ZnPcS4分子在溶胶-凝胶过程中紫外-可见吸收光谱的变化规律以探索其在复合体系中的存在状态。实验表明，在溶胶阶段，随着时间的延长，紫外-可见吸收光谱中单体的吸收峰强度增大，说明凝胶中酞菁单体的浓度增大；而形成凝胶后，随着时间的延长，紫外-可见吸收光谱中单体的吸收峰强度减小，二聚体的吸收峰强度增大，说明由于体系结构和微化学环境的变化，酞菁分子趋向于聚合。     

两亲性光敏剂Al(OH)PcSP在醇水和水溶液中的分子光谱和存在状态

研究了具有光动力抗癌活性的两亲性光敏剂磺基邻苯二甲酰亚胺甲基酞菁羟基铝 (Al(OH)PcSP)在醇水和在水中的电子吸收光谱 ,并探讨了其聚集状态。研究表明 ,Al(OH)PcSP在醇水溶液中以单体形式存在 ,醇的碳链和羟基数对Al(OH)PcSP的单体吸收光谱没有显著的影响。但在水中 ,Al(OH)PcSP存在单体 二聚体平衡 ,二聚平衡常数为 5 730 7× 10 4 mol·L-1。Al(OH)PcSP在水中所形成的二聚体的Q带特征吸收峰位于 740 5nm ,相对于其单体特征吸收峰 (6 76 5nm)红移 ,而一般金属酞菁在水中所形成的聚集体Q带特征吸收光谱均相对于单体兰移至位于 6 30nm附近。研究了Al(OH)PcSP的荧光光谱 ,结果说明 ,二聚体的荧光很弱。     

酞菁锌掺杂二氧化硅凝胶基质的光谱学特征

利用溶胶凝胶技术将四磺化酞菁锌 (ZnPcS4)成功地引入到了二氧化硅凝胶基质中 ,制备了均匀掺杂的有机 /无机复合干凝胶。研究ZnPcS4分子在溶胶凝胶过程中紫外可见吸收光谱的变化规律以探索其在复合体系中的存在状态。实验表明 ,在溶胶阶段 ,随着时间的延长 ,紫外可见吸收光谱中单体的吸收峰强度增大 ,说明凝胶中酞菁单体的浓度增大 ;而形成凝胶后 ,随着时间的延长 ,紫外可见吸收光谱中单体的吸收峰强度减小 ,二聚体的吸收峰强度增大 ,说明由于体系结构和微化学环境的变化 ,酞菁分子趋向于聚合。     

磺化金属萘酞菁聚集倾向的光谱研究

在磺化金属萘酞菁的荧光光谱和电子吸收光谱的Q谱带上观察到激基缔合物的荧光光谱峰和基态聚集物的吸收光谱峰。荧光光谱和吸收光谱实验说明 ,溶液中聚体分子和单体分子同时存在 ;聚体放出或吸收光子后都解离为单体 ;在荧光光谱中金属萘酞菁的激基缔合物荧光峰相对于单体荧光峰发生红移 ,在吸收光谱中金属萘酞菁基态聚集体的吸收峰相对于单体吸收峰发生蓝移 ,聚集体的荧光光谱和吸收光谱有镜像对称关系。磺化萘酞菁钴浓度较大时 ,其荧光光谱的猝灭较大。     

磺酸基对掺杂酞菁在溶胶-凝胶复合体系中UV/Vis吸收光谱的影响

选择、设计具有代表性无取代酞菁镍(NiPc)和周环带有4个磺酸基的四磺化酞菁镍(NiTSPc),采用溶胶-凝胶湿化学将其均匀掺入SiO₂凝胶基质,制备无机基质酞菁掺杂复合光功能材料并考察磺酸基的引入对掺杂酞菁在溶胶-凝胶复合体系中UV/Vis吸收光谱的影响。研究结果表明水溶性磺酸基的引入有助于改善酞菁的溶解性,进而实现其与溶胶-凝胶体系的稳定互溶,使酞菁均匀掺杂复合材料的制备成为可能。     

4，4′，4″，4－磺酸酞菁镓的二聚常数的测定

采用光度法测定了４，４′，４″，４－磺酸酞菁镓（ＴｓＰｃＧａ）的二聚平衡常数Ｋｄ，讨论了ｐＨ值、离子强度、水、温度等因素对Ｋｄ的影响。     

多水平方法在二维山丘地形大气污染物扩散的数值模式的应用

对海风热力内边界层模式稍作修改后，不仅可模拟海风流场，也可以模拟河谷中的风场。在模拟河谷地区风场的实例计算中，数值计算结果和实测值基本符合。将多水平方法中用多最多的ＰＣＧ方法（预条件共轭梯度法）用来数值解由海风热力内边界层模式离散后得到的线代数方程组，节省了计算时间。     

4,4‘,4“,4”’—磺酸酞菁镓的二聚常数的测定

采用光度法测定了４，４＇，４＂，４＂＇－磺酸酞菁镓（ＴｓＰｃＧａ）的二聚平衡常数Ｋｄ，讨论了ＰＨ值，离子强度、水温度等因素对Ｋｄ的影响。     

Quantum fluctuations and lattice dimerization in coupled polymer chains

Effects of quantum lattice fluctuations on the Peierls dimerization are considered for two neighboring polymer chains, which are modeled individually by the Su, Schrieffer, and Heeger Hamiltonian and coupled by an interchain electron-transfer term. By a functional-integral approach, an equation for the dimerization order parameter is obtained within a one-loop approximation. It is found that the quantum fluctuations are partly suppressed by the interchain coupling and then the system is dimerized for an arbitrary coupling constant and phonon frequency even for the spinless fermion system.     

Diffusion,effusion, and chaotic scattering: An exactly solvable Liouvillian dynamics

We study diffusion and chaotic scattering in a chain of baker maps coupled together which forms an area-preserving mapping of an infinitely extended strip onto itself. This exactly solvable mapping sustains chaotic behaviors and diffusion processes. The relationship between the diffusion coefficient, the Lyapunov exponent, and the entropy per unit time is derived. The long-lived classical resonances of the Liouville evolution operator are proved to converge toward the eigenvalues of the phenomenological diffusion equation. In this sense, there is a quasi-isomorphism between the resonance spectrum of the Liouville evolution and the eigenvalue spectrum of the phenomenological diffusion equation. Furthermore, we show that a fractal repeller is associated to each non-equilibrium state in the isolated and finite multibaker chain. The nonequilibrium states are all unstable with respect to the equilibrium, validating a weak form of the second principle of thermodynamics for the present dynamical system. Consequences of nonequilibrium fractals on classical measurements are discussed. We then describe the open multibaker chain as a scattering system. Fractal properties of chaotic scattering are here shown to be related to diffusion in the chain.     

Entanglement Evolution of Two-Coupled Spins in a Time-Dependent Rotating Magnetic Field

We study the dynamics evolution of a two-qubit Heisenberg XXX spin chain under a time-dependent rotating magnetic field. Based on the algebraic structure of the non-autonomous system, the exact solution of the Schrödinger equation is obtained by using the method of algebraic dynamics. Based on the time-dependent analytical solution, we further study the entanglement evolution between the two coupled spins for different initial states, and find that the entanglement is determined by the coefficients of the initial state and the coupling constant $J$ of the system.     

含时旋转磁场中的两耦合粒子的纠缠演化(英文)

我们研究了含时旋转磁场中海森堡XXX模型下的双量子比特的动力学演化情况.基于此非自治系统的代数结构,我们用代数动力学方法求得了系统的精确解析解.在此基础上,进一步研究了在不同初态下系统的纠缠测度随时间的演化,发现纠缠测度由系统的初态的系数和耦合强度决定.     

Integral equations for conventional correlation functions of simple dimerizing fluids

An integral equation theory is proposed for the atom-atom correlation functions of a simple reacting fluid, namely one in which a dimerization reaction is occurring. For a model fluid composed of hard sphere monomers and rigid dumbbell dimers the integral equations are solved exactly in the Percus-Yevick approximation, and an explicit expression for the equilibrium constant is derived. Comparison is made with the relevant Monte Carlo simulation data.     

Green’s tensor for crystals of the hexagonal system

Expressions for components of the Green’s tensor of the basic equation of the elasticity theory for hexagonal system crystals have been obtained using the Lifshitz-Rozentsveig method. A problem is in principle reduced to finding the roots of a sixth-order algebraic equation. They are either complex or purely imaginary for all known hcp metals. In both cases, the desired components of the Green’s tensor are calculated exactly in contrast to metals of the cubic system. A limiting transition to the isotropic approximation is shown.     

Dirac Equation and Ground State of Solvable Potentials: Supersymmetry Method

The supersymmetry in non-relativistic quantum mechanics is applied as an algebraic method to obtain the solutions of the Dirac equation with spherical symmetry electromagnetic potentials. We show that some of the superpotentials related to ground state of the solvable potentials in non-relativistic quantum mechanics can be used for studying of the Dirac equation.     

Equation of state of hydrogen,helium, and solar plasmas

The equation of state (EOS) for plasmas of the two lightest elements H and He, and mixtures as typical for the plasmas in the sun are calculated. The contributions of deep bound states are included by using inverted fugacity expansions. The inversion of fugacities to densities is reduced to solvable algebraic problems and expressed by rational polynomials. The calculation of relative pressures is carried out separately for low and high densities. Near the crossing point, in between, the separate solutions are connected to each other by smooth concatenation. Applications to hydrogen–helium plasmas in the sun including estimates for the isentropic EOS are discussed.     

Solutions of nonrelativistic Schrödinger equation from relativistic Klein-Gordon equation

The relativistic one-dimensional Klein-Gordon equation can be exactly solved for a certain class of potentials. But the nonrelativistic Schrödinger equation is not necessarily solvable for the same potentials. It may be possible to obtain approximate solutions for the inexact nonrelativistic potential from the relativistic exact solutions by systematically removing relativistic portion. We search for the possibility with the harmonic oscillator potential and the Coulomb potential, both of which can be exactly solvable nonrelativistically and relativistically. Though a rigorous algebraic approach is not deduced yet, it is found that the relativistic exact solutions can be a good starting point for obtaining the nonrelativistic solutions.