VISCOSITY BEHAVIOR OF PS／TOLUENE SOLUTION IN DILUTE AND EXTREMELY DILUTE CONCENTRATION REGION

The influences of both the volume of PS/toluene solution in the Ubbelohde viscometer and the precision of the time measuring on the viscosity behavior in dilute and extremely dilute concentration region are investigated. It was found that the influence of the former can neglect, but that of the latter is so prominent that the data fluctuate bitterly and linearity of the curve of the reduced viscosity vs. concentration (ηsp/c-c) becomes too bad to obey the Huggins equation down to the extremely dilute region, despite the error of the flow times Δt≤0.2s, which is permitted by the conventional method of viscosity measurement. Through strict mathematical analyses, it was found that the error (E) of the reduced viscosity is in proportion and inverse propor tion to Δt and concentration c, respectively. So the less the concentration, the more the error is. Consequently, a lowest concentration limit cL corresponding to given experimental error may exist and it will be meaningless for further operation below CL because of the great fluctuation of the data. Therefore, it needs to seriously reconsider the application of the conventional method of Ubbelohde viscosity measurement in the extremely dilute polymer solution under traditional conditions because of the great influence of the experimental error.     

VISCOSITY BEHAVIOR OF PS/TOLUENE SOLUTION IN DILUTE AND EXTREMELY DILUTE CONCENTRATION REGION

1.INTRODUCTIONAsearlyas1950sitwasfoundthatsolutionviscosityofasinglepolymerinextremelydiluteconcentrationregionusuallyrevealssomeabnormalities,i.e.,thereducedviscosityconcentration(hsp/c~c)curvesdeviatefromlinearrelationshippredictedasHugginsequationandshoweitheranupwardoradownwardturnasconcentrationisverylow[1].Evenifforthe[()-0.2()]identicalPMMA/toluenesolution,therearetwocontraryresults:onereportedthecurvebendsupward[2],whiletheotherfounditdownward[3].Inordertointerpretthisabnormalphe…     

超导体Ba2YCu3O6.92晶格中不同位置氧的热稳定性

Studies on high-T_c superconductor Ba_2YCu_3O_(6.92) using thermogravimetry, temperature programmed decomposition, oxygen isotopic exchange method are reported. There are six steps in the thermogavimetric graph of Ba_2YCu_3O_(6.92). At the first step, 0.40 oxygen atom per unit cell is released, the amount of which corresponds to that of the oxygen released from the CuO_4 square plane when the oxidation number of copper reduced from +3 to +2. This amount of oxygen plays a key role on the influence on the T_c of superconductor. At the is 0.45, corresponding to the amount of oxygen released from CuO_4 when the oxidation number of copper changed from +2 to +1. The oxygen atom released totally at the last three steps is 1.07 per unit cell, which correspondes to the oxygen released from CuO_5 square pyramid when the oxidation number of copper changed from +2 to +1. The first three steps are almost continuous, so in TPD curve there is only one peak at 514 ℃ with respect to the three steps in TG curve and the decomposition heat of this one is 171±8 kJ mol~(-1). Another peak which is over 900 ℃ on TPD curve is the result of the loss of oxygen from the last three steps in TG curve. The sample released oxygen can recover its supeconductivity after reabsorbing oxygen. Oxygen isotopic exchange method shows that the oxygen atoms of CuO_4 and CuO_5 groups can be interexchanged under certain temperature and indicates that there is some bonding between CuO_4 square plane and CuO_5 square pyramidal groups in the crystal lattice of Ba_2YCu_3O_(6.92).     

From the Cube to the Dyck and Klein Tessellations: Implications for the Structures of Zeolite-like Carbon and Boron Nitride Allotropes

Geometrical transformations can be described which have the effect of multiplying the numbers of vertices in a trivalent polyhedron by three, four, or seven. Tripling the cube by the so-called leapfrog transformation gives the truncated octahedron. Quadrupling the cube followed by identifying the square faces to give a genus 3 surface gives the Dyck surface of 12 octagons. Septupling the cube by the so-called capra transformation followed by identifying the square faces to give a genus 3 surface gives the Klein surface of 24 heptagons. These geometrical transformations relate to the construction of low-density zeolite-like structures for carbon and boron nitride allotropes based on a cubic lattice     

聚苯胺内方形微米管和方形微米棒的可控制备和结构

以柠檬酸为掺杂剂、过硫酸铵为氧化剂,通过改变苯胺单体的浓度实现了聚苯胺微/纳米结构的可控的自组装制备.在较高苯胺单体浓度时,自组装得到具有内方形的导电态聚苯胺微米管,其直径约为580~300nm,管壁厚约为80 nm.而在极稀的苯胺单体浓度时,自组装得到正方形横截面的方形微米棒,其横截面的边长约为690~290 nm,长度约为1~40μm.结构表征结果证明,所得的微米方形棒是N—N单键结合的聚氮烷;而延长聚合反应时间,则可得到本征态聚苯胺微米管.     

C library for topological study of the electronic charge density

The topological study of the electronic charge density is useful to obtain information about the kinds of bonds (ionic or covalent) and the atom charges on a molecule or crystal. For this study, it is necessary to calculate, at every space point, the electronic density and its electronic density derivatives values up to second order. In this work, a grid‐based method for these calculations is described. The library, implemented for three dimensions, is based on a multidimensional Lagrange interpolation in a regular grid; by differentiating the resulting polynomial, the gradient vector, the Hessian matrix and the Laplacian formulas were obtained for every space point. More complex functions such as the Newton–Raphson method (to find the critical points, where the gradient is null) and the Cash–Karp Runge–Kutta method (used to make the gradient paths) were programmed. As in some crystals, the unit cell has angles different from 90°, the described library includes linear transformations to correct the gradient and Hessian when the grid is distorted (inclined). Functions were also developed to handle grid containing files (grd from DMol® program, CUBE from Gaussian® program and CHGCAR from VASP® program). Each one of these files contains the data for a molecular or crystal electronic property (such as charge density, spin density, electrostatic potential, and others) in a three‐dimensional (3D) grid. The library can be adapted to make the topological study in any regular 3D grid by modifying the code of these functions. © 2012 Wiley Periodicals, Inc.     

Numerical computation of surface areas of molecules

For a cubical tesselation of a finite region of space which contains an irregularly shaped surface, a fairly accurate estimate of the surface area is 2/3N a ², whereN is the total number of cubes cut by the surface and a is the length of the edges of the cubes. An estimate of slightly improved accuracy can be obtained by using different increments to the surface area, depending on the number of edges of the corresponding cube cut by the surface and the number of vertices on either side of the surface.     

C. A. coulson and the surface energy of metals: The distribution of eigenvalues as a difficult problem in number theory

An article by Coulson on the relationhship of physics and mathematics has attracted our attention to problems already discussed by Titchmarsh, namely the distribution of quantum energy levels of a particle confined in a square or a cube with infinite potential-energy walls. These problems are identical to some classical problems in the theory of lattice points, which belongs to number theory. They are seemingly simple, but in fact they are very difficult and not yet completely solved. We summarize the most relevant results from number theory. Whereas the beautiful theorems bearing directly on the error with respect to elementary estimates only provide indications concerning the order of that error; theorems concerning mean values can be used as a basis for a physicist's guess on its asymptotic mean value. This paper has also been intended to contribute to bridging the gap between quantum mechanics and number theory.     

热动力学的研究(ⅩⅩⅢ)——一级反应的精选峰高法

本文建立了一种只需要精选一级反应热谱曲线上2个任意时刻的峰高,而不需要任何其它数据即可算得其反应速度常数的新算法.研究了三乙胺和碘乙烷在二甲亚砜中的季铵化反应,其速度常数的计算值和文献值吻合很好,证明了本法的正确性.     

ON THE ACCURACY OF DIFFERENTIAL MEASUREMENTS OF THE MINIMAL ERYTHEMA DOSE: INFLUENCE OF THE DISCRETENESS OF THE SCALE

The minimal erythema dose (MED) is often used as a quantity by which the influence of certain treatments of the skin can be measured. Differential measurements are performed by assessing the difference of the MED on the skin treated in some way and the untreated skin.
As the MED-measuring scale is discrete, the question is sometimes raised whether it is possible to measure differences smaller than one scale unit. In the present paper it is shown that this is indeed possible; in principle the discreteness of the scale does not impose any restriction on the smallest value of the difference that can be measured. The discreteness of the scale introduces an extra random variation into the measurement. This variation is estimated theoretically. It is automatically included in the usual error analysis.
The discreteness variance is small when compared to other variance components, which are computed from an analysis of variance of actual experiments. Reducing the discreteness variance, by reducing the dose decrement of the MED-measuring scale, therefore, does not enhance the overall accuracy considerably. Finally, it is found that the assessments of the MED by the various observers do not differ significantly from each other, and that multiple assessments do increase the accuracy, especially for small effects.     

高分子链形状与尺寸关联的Monte Carlo模拟

运用MonteCarlo方法对线型高分子链格点模型的构型进行了模拟,研究了构型的尺寸(采用平方末端距R²,平方回转半径S²来表征)和形状(由非球形因子A表征)之间的关联.对任何长度的高分子链,其关联系数CA,R²和CA,S²均为正值,表明高分子链的形状与尺寸之间存在正关联,即尺寸小的构型其非球形因子A一般也小,反之尺寸大的构型其非球形因子A一般也大.关联系数CA,R²和CA,S²均随链长的增大而减小,近似地与链长的倒数(n^-1)成正比.研究还表明,关联系数的极限值(链长n很大时)与格点的类型无关,与链样本产生的方式也无关,但与链是否考虑排斥体积有关,考虑了排斥体积后,关联系数增大.     

Adsorbate-geometry specific subsurface relaxation in the CO/Pt(111) system

A dramatic multilayer substrate relaxation is observed for the (square root 19 x square root 19)-13CO adlayer phase on a Pt(111) electrode by surface X-ray scattering. Within the (square root 19 x square root 19) unit cell, a vertical expansion of 0.28 A was determined for the Pt atoms under near-top-site CO molecules, whereas only 0.04 A was found under near-bridge-site CO molecules. The lateral displacements involve small rotations toward more symmetric bonding. Both the expansions and rotations extend into the bulk with a decay length of 1.8 Pt layers. This nonuniform layer expansion, hitherto unseen, appears to be a manifestation of the differential stress induced by CO adsorption at different sites.     

Transition state theory: variational formulation, dynamical corrections, and error estimates

Transition state theory (TST) is revisited, as well as evolutions upon TST such as variational TST in which the TST dividing surface is optimized so as to minimize the rate of recrossing through this surface and methods which aim at computing dynamical corrections to the TST transition rate constant. The theory is discussed from an original viewpoint. It is shown how to compute exactly the mean frequency of transition between two predefined sets which either partition phase space (as in TST) or are taken to be well-separated metastable sets corresponding to long-lived conformation states (as necessary to obtain the actual transition rate constants between these states). Exact and approximate criterions for the optimal TST dividing surface with minimum recrossing rate are derived. Some issues about the definition and meaning of the free energy in the context of TST are also discussed. Finally precise error estimates for the numerical procedure to evaluate the transmission coefficient kappaS of the TST dividing surface are given, and it is shown that the relative error on kappaS scales as 1/square root(kappaS) when kappaS is small. This implies that dynamical corrections to the TST rate constant can be computed efficiently if and only if the TST dividing surface has a transmission coefficient kappaS which is not too small. In particular, the TST dividing surface must be optimized upon (for otherwise kappaS is generally very small), but this may not be sufficient to make the procedure numerically efficient (because the optimal dividing surface has maximum kappaS, but this coefficient may still be very small).     

Analysis of a mixture of a known and an unknown weak acid by titration to a preset pH

The preset-pH titration method has been used to indicate the presence of a second acid when the titration curve (pH vs. volume of added titrant) seems to indicate only one acid. By use of the method even small amounts of propionic acid can be detected in an acetic acid solution despite the small value of Δ log K^H_HA = 0·18. Binary mixtures of acids may bs analysed when one acid is known, and log k^H_HA for the unknown acid may be found. Acetic acid, as the known acid, has been determined together with hydrochloric, mandelic, hydroxyacetic or boric acid or ammonium ion, with an error of about 1%. The method can be used in some cases for titration of ternary mixtures of one known and two unknown acids. Only the sum of the unknown acids can then be determined together with the known acid.     

原位核磁研究环氧丙烷的开环聚合反应动力学

利用原位~1H-NMR(400MHz)和~(13)C-NMR(100MHz)研究了环氧丙烷在TPPAlCl催化剂上开环聚合的动力学行为,包括反应级数、聚合反应速度常数、反应活化能以及活性中心数目、聚合物链的平均长度和聚合物的立规度等。 本方法的特点是原位、简单、快速和信息量丰富,是定性和定量分析及动力学研究的有效的现代测量方法之一。     

A note on the streaming potential method for measuring surface potentials

Due to the fact that the classical analysis of the streaming potential method for measuring surface potential is somewhat crude, the problem was analyzed by applying the fundamental principles of electrochemistry. It was found that the classical Helmholz-Smoluchowski equation is valid provided that the duct is long and narrow, in which case the potential in the bulk is uniform over the duct's cross-sectional area and varies linearly over its length.In order to follow how the surface potential of a filter varies with time, investigators have measured the streaming potential across the filter's length as well as across segments of the filter. The problem is what do such measurements mean and do the classical equations apply. It was found that the classical result is expressible in differential form from which it followed that the streaming potential over any section of the filter gives a measure of the average surface potential of that section. This is an important result because it shows that the surface potential profile of a filter can be determined from measurements of the streaming potential profile across the filter.     

“Electrocapillary” curve on solid metal obtained by holographic interferometry

A new very sensitive method was developed for obtaining the “electrocapillary” curve of a solid metal. The method is based on the measurement of small elastic deformations of a strip caused by the changes of the surface tension forces. For the precise measurement of the strip bending (the radius of curvature) holographic interferometry was applied. It is shown that a change of the surface tension ±0.1 mN m^?1 can be registered. The “electrocapillary” curve of platinum in 0.05 M H₂SO₄ solution was obtained. It was found that the zero charge potential is +0.25 V versus normal hydrogen electrode. The double layer capacity was evaluated. The method is not very sensitive to temperature changes and can be applied in any case when the working electrode (metal strip) is mounted in a transparent glass cell.     

Zeta potential determination by streaming current modelization and measurement in electrophoretic microfluidic systems

Electrophoresis in capillary and microfluidic systems, used in analytical chemistry to separate charged species, are quite sensitive to surface phenomena in terms of separation performances. In order to improve theses performances, new surface functionalization techniques are required. There is a need for methods to provide fast and accurate quantification about surface charges at liquid/solid interfaces. We present a fast, simple, and low-cost technique for the measurement of the zeta-potential, via the modelization and the measurement of streaming currents. Due to the small channel cross section in microfluidic devices, the streaming current modelization is easier than the streaming potential measurement. The modelization combines microfluidic simulations based on the Navier-Stokes equation and charge repartition simulations based on the Poisson-Boltzmann equation. This method has been validated with square and circular cross section shape fused-silica capillaries and can be easily transposed to any lab-on-chip microsystems.     

用异羟肟酸从氢氧化铁中溶出铁的动力学研究

用颗粒法、压片法及以琼脂为基质的凝胶法测定了用七种合成异羟肟酸从氢氧化铁中溶出铁的速率常数。测得结果表明用同一种方法测得的七种异羟肟酸的溶出铁的反应级数都等于1,而且速率常数基本相等。搅拌速度明显影响反应速率。pH值也对测得的k值有一定影响,并在pH7～9处有拐点。拐点处大约相当于该异羟肟酸的pKa。据此提出用异羟肟酸溶出氢氧化铁中的铁的速率由物质运送及表面效应共同决定,而以运送为主。颗粒法与压片法相比,前者的溶出速率较大,可以解释为固体颗粒总表面积大于后者之故。