Pd8簇催化氢化乙炔的反应机理

采用密度泛函理论(DFT)中的B3PW91方法研究了过渡金属Pd₈簇催化氢化乙炔的反应机理. 研究表明: H₂进入Pd₈簇后解离成H原子, 并且只有当H原子吸附在Pd₈簇表面上时, 催化氢化反应才能发生. 过渡金属Pd₈簇催化氢化乙炔的反应机理的研究证实该催化反应从两种反应物出发经过两条不同的反应途径完成催化氢化反应, 两种反应物分别为吸附在Pd₈簇上的乙炔(Pd₈(2H)－CH＝CH)和其同分异构体亚乙烯基吸附物(Pd₈(2H)－C＝CH₂). 两条途径均为多步连续的加氢反应, 不同之处在于从Pd₈(2H)－CH＝CH出发的为单一路径, 解离后的H原子分步依次加成到吸附在Pd₈簇上的乙炔中的C原子上, 直到反应完成生成乙烷. 而从Pd₈(2H)－C＝CH₂出发的路径较为复杂, 分别经过两个不同的过渡态和中间体生成次乙基中间体, 该过程相对应的反应位垒相差约12.552 kJ·mol^-1, 说明这两个过渡态同时存在, 无先后次序. 然后继续加成H原子直到生成乙烷完成反应. 同时, 两条路径分别形成一系列具有应用价值的C₂有机化合物中间体, 其中一些中间体通过分子内质子转移相互转化, 使得原本独立的两条反应路径联系在一起, 成为网状路径.     

Statistical mechanics of inhomogeneous model colloid—polymer mixtures

We describe two strategies for tackling the equilibrium statistical mechanics of inhomogeneous colloid—polymer mixtures treated in terms of the simple Asakura—Oosawa—Vrij (AO) model, in which colloid—colloid and colloid—polymer interactions are hard-sphere like, whereas the polymer—polymer interaction is zero (perfectly interpenetrating polymer spheres). The first strategy is based upon integrating out the degrees of freedom of the polymer spheres to obtain an effective one-component Hamiltonian for the colloids. This is particularly effective for small size ratios q = σ_p/σ_c < 0.1547, where σ_p and σ_c are the diameters of colloid and polymer spheres, respectively, since in this regime three and higher body contributions to the effective Hamiltonian vanish. In the second strategy we employ a geometry based density functional theory (DFT), specifically designed for the AO model but based on Rosenfeld's fundamental measure DFT for additive mixtures of hard-spheres, that treats colloid and polymer on an equal footing and which accounts for the fluid-fluid phase separation occurring for larger values of q. Using the DFT we investigate the properties of the ‘free’ interface between colloid-rich (liquid) and colloid-poor (gas) fluid phases and adsorption phenomena at the interface between the AO mixture and a hard-wall, for a wide range of size ratios. In particular, for q = 0.6 to 1.0, we find rich interfacial phenomena, including oscillatory density profiles at the free interface and novel wetting and layering phase transitions at the hard-wall-colloid gas interface. Where appropriate we compare our DFT results with those from computer simulations and experiment. We outline several very recent extensions of the basic AO model for which geometry based DFTs have also been developed. These include a model in which the effective polymer sphere—polymer sphere interaction is treated as a repulsive step function rather than ideal and one in which the depletant is a fluid of infinitely thin rods (needles) with orientational degrees of freedom rather than (non-interacting) polymer spheres. We comment on the differences between results obtained from these extensions and those of the basic AO model. Whilst the interfacial properties of the AO model share features in common with the those of simple (atomic) fluids, with the polymer reservoir density replacing the inverse temperature, we emphasize that there are important differences which are related to the many-body character of the effective one-component Hamiltonian.     

Poiseuille flow of a micropolar fluid

We use non-equilibrium molecular dynamics simulations to study the flow of a micropolar fluid and to test an extended Navier-Stokes theory (ENS) for such fluids. The angular streaming velocity (which is of course missing in the classical Navier-Stokes theory) and the translational streaming velocity are found to be in good agreement with the predictions of ENS theory. Besides, owing to molecular rotation, the translational streaming velocity profile is shown to deviate from the classical parabolic profile. Finally, temperature profiles calculated using three different expressions (a kinetic translational, a kinetic rotational and a recently derived configurational expression) are found to be in excellent agreement, demonstrating that the equipartition principle still holds in this non-equilibrium system. No deviation from the classical quartic temperature profile is observed.     

Shear viscosity of a simple fluid over a wide range of strain rates

The shear viscosity of the Weeks—Chandler—Andersen (WCA) fluid at the Lennard-Jones triple point has been calculated over a wide range of strain rates using the transient time correlation function (TTCF) formalism. It has been demonstrated that these calculations can be carried out at arbitrarily low strain rates with the precision of the Green—Kubo calculations. At high strain rates, the calculated data agree within the error bars with more precise data acquired using the computationally less demanding steady state (SS) non-equilibrium molecular dynamics (NEMD) method. The linear variation of viscosity with the square root of the strain rate is discussed.     

偶氮苯磺酸衍生物的光致顺反异构化机理

基于密度泛函理论(DFT)中的B3LYP方法, 在6-311++G(d,p)水平上全优化得到了3,3'-偶氮苯磺酸(3,3'-AbS)在S0和T1态顺反异构化机理.在S0态存在两种异构化途径: 绕角NNC反转和绕NC键旋转相结合的形式和单纯的绕CNNC二面角旋转形式, 两种异构化途径的能垒分别为94.2和124.3 kJ·mol-1. 有必要指出的是, 在反转与旋转结合的途径上存在二次过渡态. 在T1态上仅存在旋转途径且其能垒为21.1 kJ·mol-1. 采用含时密度泛函理论(TD-DFT), 在B3LYP/6-311++G(d,p)水平上, 沿着基态的两种异构化途径计算得到了T1, S1, T2和S2态的垂直激发的势能剖面, 分析了可能的光致异构化途径. 当激发光波长为330 nm时, 反应物分子被激发到S2态, 然后弛豫到较低的能态S1发生异构化反应, 旋转途径存在两条活化途径: (1) 沿着S1/S0的圆锥交叉点衰变到产物; (2) 由S1态弛豫到T1态后, 在S0-T1-S0的区域发生异构化, 再转化到产物. 计算结果表明, 3,3'-AbS通过反转和旋转的结合形式实现在S0态的异构化, 而被激发后倾向于沿着旋转坐标作为其主要的异构化途径.     

A Note on the Waves Produced by the Small Oscillations of a Partially Immersed Vertical Plate

A simple expression is derived for the waves produced by thearbitrary small oscillations of a partially immersed flexiblevertical plate. The method involves an application of Green'stheorem to the known solution for the reflection and transmissionpast a fixed plate. The known particular results for roll andsway are recovered as special cases, and a new expression obtainedfor the waves radiated to infinity by a line source in the presenceof a fixed vertical plate.     

Trapped acoustic modes

A constructive proof is given for the existence of trapped acousticmodes in the vicinity of a strip of length 2a parallel to, andmidway between, the bounding lines of a two-dimensional waveguide.The modes, which are shown to exist for sufficiently large a,satisfy Neumann conditions on the strip and the bounding linesand a Dirichlet condition on the midline outside the strip,and may be either symmetric or antisymmetric about a line throughthe centre of, and perpendicular to, the strip. When a is large,the equation determining the wavenumber of the modes reducesto that proposed by Evans and Linton (1991) using nonrigorousarguments     

INTRAVENOUS vs INTRAPERITONEAL SENSITIZER: IMPLICATIONS FOR INTRAPERITONEAL PHOTODYNAMIC THERAPY

Photodynamic therapy (PDT) is a potential treatment for peritoneal carcinomatosis. However, little data is available regarding the relative distribution of sensitizer to tumor and intra-abdominal organs, optimal route of sensitizer administration, and maximal tolerated light dose. Tumor and normal tissue sensitizer levels were measured by tissue extraction 3, 24, 48 and 72 h after 10 mg/kg of Photofrin II was given intraperitoneally (IP) or intravenously (IV) in a mouse peritoneal tumor model, and the maximal tolerated PDT light dose determined. Equivalent tumor sensitizer levels were obtained regardless of the route of sensitizer administration. Route of administration, however, did affect the kinetics of tumor sensitizer elimination, with the half-time for elimination (T1/2) 113.6 h for IP drug and 60.6 h for IV drug. Route of administration also affected sensitizer levels in several intra-abdominal organs, resulting in somewhat higher tumor to liver and kidney levels at 24 and 72 h after IP sensitizer administration. Despite these tissue distribution differences, route of sensitizer administration did not significantly affect PDT toxicity or mortality when mice were treated with 630 nm light. The maximum tolerated light dose was 1.04 J/cm2. These parameters will prove helpful in designing large scale animal trials assessing the efficacy and safety of intra-abdominal PDT.