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Corresponding states theories and liquid models 相应的状态理论和液体模型
Pub Date : 1970-01-01 DOI: 10.1039/DF9704900098
D. Patterson, G. Delmas
The general corresponding states theory of Prigogine and collaborators, applicable to the thermodynamics of mixtures of quasi-spherical molecules and polymer solutions, is compared to the theory of Flory, Abe, Orwoll and Vrij. The mixing functions are divided into two contributions: an interaction term due essentially to the weakness of (1-2) interactions, and a term due to the dissimilarity of the free volumes of the two components. The latter term is small or negligible in mixtures of quasi-spherical molecules but dominant for polymer solutions. These terms are contrasted with the contact interaction term and the equation of state term of the Flory theory. The mixing functions are calculated by a new approximate procedure, using several liquid models based on the cell partition function (including the model used by Flory and collaborators). The results are similar and the models make certain errors in common.
将Prigogine和合作者提出的适用于准球形分子和聚合物溶液混合物热力学的一般对应态理论与Flory、Abe、Orwoll和Vrij的理论进行了比较。混合函数分为两个贡献:一个相互作用项,主要是由于(1-2)相互作用的弱点,另一个是由于两个组分的自由体积的不同。后一项在准球形分子混合物中很小或可以忽略不计,但在聚合物溶液中占主导地位。这些项与Flory理论中的接触相互作用项和状态方程项进行了对比。混合函数通过一种新的近似程序计算,使用几种基于细胞配分函数的液体模型(包括Flory和合作者使用的模型)。结果相似,各模型均存在一定的误差。
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引用次数: 333
Dielectric and viscoelastic relaxation in dilute solutions of some non-Gaussian chains 非高斯链稀溶液中的介电弛豫和粘弹性弛豫
Pub Date : 1970-01-01 DOI: 10.1039/DF9704900244
S. Dev, R. Lochhead, A. North
Dielectric and viscoelastic measurements have been made on dilute solutions of poly(butylisocyanate). The measurements confirm that the molecules are predominantly rod-like in hydrodynamic behaviour. The end-over-end rotation times obtained from both sets of observations have been analyzed by three methods. The monomer projection length along the major axis cannot be evaluated independently of the value chosen for the length-to-thickness ratio, but it is probably less than 1.1 A and greater than 0.6 A. Application of the Kratky-Porod model to molecules for which the chain length is less than the persistence length must be treated with caution. For poly(butylisocyanate) the persistence length obtained from dilute solutions is 230 monomer units, although extrapolation of a wider concentration range to infinite dilution yields a value of 400 monomer units. Concentration has a marked effect on chain stiffness parameters (increasing apparent cylinder radii or decreasing persistence lengths) which is explained in terms of side-by-side dipole association.The dielectric measurements of Phillips 4 made on a variety of samples of poly(N-vinyl carbazole) have been analyzed using equations suitable for rod-like or stiff-coil polymers. For molecular weights above 50,000 the molecules are coil-like with a Kratky-Porod persistence length of 250 monomer units. Shorter chains are rod-like in which the projection length of each monomer unit along the rod is roughly ⅔ the monomer length. This suggests that the short chains (8-20 monomer units) adopt a semicircular are outline. Both polymers show increasing departures (in both the dielectric and the viscoelastic parameters) from rod-like behaviour as the temperature is raised. The change is continuous through room temperature so that there is no reason for assigning a perfect structure (helical or otherwise) to solutions at these temperatures. The experimental data do not, generally, allow sensible treatment using number average molecular weights, so that weight (or perhaps even higher) averages must be used for heterodisperse samples.
对聚丁基异氰酸酯稀溶液进行了介电和粘弹性测量。测量结果证实,这些分子在流体动力学行为上主要呈棒状。通过三种方法对两组观测得到的端对端旋转时间进行了分析。单体沿长轴的投影长度不能独立于所选的长厚比值进行评估,但它可能小于1.1 A,大于0.6 A。krratky - porod模型应用于链长度小于持续长度的分子时必须谨慎对待。对于聚丁基异氰酸酯,从稀释溶液中获得的持续长度为230个单体单位,尽管外推更宽的浓度范围到无限稀释的值为400个单体单位。浓度对链刚度参数(增加表观圆柱半径或减少持续长度)有显著影响,这是用并排偶极子关联来解释的。利用适用于棒状或硬圈状聚合物的方程,对多种聚(n -乙烯基咔唑)样品的菲利普斯4介电测量进行了分析。对于分子量大于50,000的分子,分子呈卷曲状,具有250个单体单位的克拉特基-孔长度。较短的链是棒状的,其中每个单体单元沿棒状的投影长度约为单体长度的2 / 3。这表明短链(8-20个单体单元)采用半圆形的外轮廓。随着温度的升高,这两种聚合物(在介电和粘弹性参数上)都显示出越来越偏离棒状行为。这种变化在室温下是连续的,因此没有理由在这些温度下为溶液分配一个完美的结构(螺旋或其他)。通常,实验数据不允许使用数平均分子量进行合理的处理,因此必须对异分散样品使用重量(甚至更高)平均值。
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引用次数: 17
The investigation of atomic motions in crystalline, amorphous and liquid selenium, and in crystalline and liquid tellurium by neutron spectroscopy 用中子光谱学研究结晶、非晶和液态硒以及结晶和液态碲的原子运动
Pub Date : 1970-01-01 DOI: 10.1039/DF9705000074
A. Axmann, W. Gissler, A. Kollmar, T. Springer
The energy spectra of monochromatic neutrons scattered on selenium and telllurium have been investigated by means of a rotating crystal spectrometer. In polycrystalline selenium the highest spectral line can be identified as an intrachain bond stretching mode. Transforming selenium from its crystalline to its amorphous and liquid state, the shift of the line energy is only a few percent. The other lines in the spectra (from bond shearing and torsional modes of the chains) are influenced more strongly. For tellurium, on the other hand, the spectral lines of the solid disappear completely in the liquid phase. The experimental results are compared with the results of optical spectroscopy. Furthermore, the diffusive motion of the atoms has been studied by quasi-elastic neutron scattering for liquid selenium containing various admixtures of iodine (0–6 %), which change the average chain length of the polymeric melt, and for liquid tellurium. For Se, one obtains an effective diffusion constant D which describes the motion of small chain segments over atomistic distances. D is of the order of 10–5 cm2/s. Its activation energy was about 5 Kcal/mol.
用旋转晶体谱仪研究了单色中子散射在硒和碲上的能谱。在多晶硒中,最高谱线可以识别为链内键拉伸模式。将硒从晶态转变为非晶态和液态,线能量的变化只有几个百分点。光谱中的其他谱线(来自链的键剪切和扭转模式)受到更强烈的影响。另一方面,对于碲,固体的谱线在液相中完全消失。实验结果与光谱学结果进行了比较。此外,用准弹性中子散射方法研究了含碘(0 ~ 6%)的液体硒和液态碲的原子扩散运动。对于Se,我们得到了一个有效的扩散常数D,它描述了小链段在原子距离上的运动。D的数量级是10 - 5cm2 /s。其活化能约为5 Kcal/mol。
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引用次数: 46
Nuclear magnetic relaxation in polymer solutions 聚合物溶液中的核磁弛豫
Pub Date : 1970-01-01 DOI: 10.1039/DF9704900257
J. Anderson, Kang‐Jen Liu, R. Ullman
Nuclear magnetic relaxation helps in unfolding the pattern of molecular motion in polymer solutions. Information on both solvent and polymer motions can be obtained by appropriate experiments. Examples are given using T1 and T2 measurements on polyethylene oxide, polydimethylsiloxane, polyisobutylene and other systems. Several general features appear in nuclear relaxation of the polymer molecules. T1 is insensitive to the molecular weight of the polymer and to the concentration of the solution up to about 20 % concentration. T1 depends on solvent viscosity though the variation appears to be less pronounced than that predicted by Bloembergen-Purcell-Pound theory. T2, on the other hand, is a function of polymer concentration, and drops rapidly with concentration at high molecular weights. This is in accord with what is known about entanglements in polymer solutions. T1 and T2 are not changed by replacing hydrogen-containing solvents with deuterated substitutes. The rate of solvent motion is too rapid to be effective in nuclear relaxation of the polymer. T 1 and T2 measurements on the solvent in polymer solutions can be analyzed in detail by selective replacement of hydrogen by deuterium. This has been done in the poly(methylmethacrylate)+ benzene system. An apparent anomaly of solvent T2 in solutions of high molecular weight polymer is explained in terms of a fluctuating chemical shift.
核磁弛豫有助于揭示聚合物溶液中分子运动的模式。通过适当的实验可以获得溶剂和聚合物运动的信息。给出了用T1和T2测量聚氧化物、聚二甲基硅氧烷、聚异丁烯和其他体系的例子。聚合物分子的核弛豫表现出几个一般特征。T1对聚合物的分子量和溶液的浓度不敏感,直到大约20%的浓度。T1取决于溶剂粘度,但这种变化似乎不像Bloembergen-Purcell-Pound理论所预测的那样明显。另一方面,T2是聚合物浓度的函数,在高分子量时随浓度迅速下降。这与已知的聚合物溶液中的缠结是一致的。用氘代物取代含氢溶剂不会改变T1和T2。溶剂的运动速度太快,对聚合物的核弛豫不起作用。聚合物溶液中溶剂t1和T2的测量可以通过氘选择性取代氢来详细分析。这已经在聚甲基丙烯酸甲酯+苯体系中完成。溶剂T2在高分子量聚合物溶液中的明显异常现象,用波动的化学位移来解释。
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引用次数: 25
Rayleigh scattering from polystyrene solutions 聚苯乙烯溶液的瑞利散射
Pub Date : 1970-01-01 DOI: 10.1039/DF9704900228
N. Ford, F. E. Karasz, J. Owen
A laser homodyne spectrometer has been used to study the power spectrum of light scattered from dilute polystyrene + 2-butanone solutions. From the measurements the translational diffusion constants for the macromolecules were determined as a function of molecular weight and solute concentration. The analysis of the data included an estimation of the unperturbed dimensions of the polymer.
用激光同差光谱仪研究了聚苯乙烯+ 2-丁酮稀溶液散射光的功率谱。根据测量结果,确定了大分子的平移扩散常数作为分子量和溶质浓度的函数。对数据的分析包括对聚合物的未扰动尺寸的估计。
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引用次数: 26
Static properties of solutions. Van der Waals and related models for hydrocarbon mixtures 溶液的静态性质。碳氢化合物混合物的范德华和相关模型
Pub Date : 1970-01-01 DOI: 10.1039/DF9704900087
R. Scott, P. V. Konynenburg
The van der Waals equation of state, in spite of its oversimplifications, gives useful qualitative information about mixtures over a wide range of temperatures and pressures. When the Bronsted principle of congruence is used to evaluate the parameter a12 for the mixture, a wide range of properties can be predicted: excess functions (including temperature and composition dependence) and phase equilibria (including lower critical solution phenomena at high temperatures), in good qualitative agreement with experimental properties of mixtures of n-alkanes.
尽管范德华状态方程过于简化,但它提供了关于混合物在很大温度和压力范围内的有用的定性信息。当使用Bronsted同余原理来评估混合物的参数a12时,可以预测广泛的性质:过量函数(包括温度和成分依赖)和相平衡(包括高温下的低临界溶液现象),与正构烷烃混合物的实验性质在定性上一致。
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引用次数: 432
Vibrational properties of vitreous germania by inelastic cold neutron scattering 用非弹性冷中子散射研究玻璃质锗的振动特性
Pub Date : 1970-01-01 DOI: 10.1039/DF9705000062
A. Leadbetter, D. Litchinsky
Inelastic cold neutron scattering experiments have been carried out on polycrystalline (hexagonal) and vitreous GeO2. Coherence effects are observed for both materials for ω [graphic omitted] 300 cm–1 and it has been possible to estimate the approximate form of two average acoustic branches of the spectrum for the polycrystal. For the glass the coherence effects may be interpreted in terms of wave vector conservation conditions operating in a similar manner to that in polycrystals. The approximate shape of two average acoustic branches has been estimated together with the frequency of a further branch near the equivalent of the Brillouin zone boundary. The data have also been examined on the basis of the incoherent approximation to determine the main features of the frequency distribution G(ω) for the glass at ω < 600 cm–1, in which region the most prominent peak is near 300 cm–1.The low frequency peaks in G(ω) account extremely welll for the low temperature heat capacity. The neutron scattering results have been compared with the infra-red and Raman spectra of vitreous GeO2 showing that the relation between G(ω) and the spectra is different in each case but that the infra-red absorption coefficient probably approximates reasonably well to G(ω), except below about 200 cm–1. A comparison has also been made with a theoretical frequency distribution for a model of vitreous GeO2. The neutron spectra for the glass show a peak at 13 cm–1, estimated to contain about 0.05 % of the total modes and attributed to resonance modes associated with some particular, but so far unidentified, structural defects.
对多晶(六方)和玻璃体GeO2进行了非弹性冷中子散射实验。在ω[图形省略]300 cm-1的范围内,两种材料都观察到相干效应,并且可以估计多晶体光谱的两个平均声学分支的近似形式。对于玻璃,相干效应可以用波矢量守恒条件来解释,操作方式与多晶体相似。估计了两个平均声学分支的近似形状,以及在等效布里渊带边界附近的另一个分支的频率。在非相干近似的基础上对数据进行了检验,以确定ω < 600 cm-1处玻璃频率分布G(ω)的主要特征,其中最突出的峰在300 cm-1附近。G(ω)的低频峰极好地解释了低温热容。将中子散射结果与玻璃体GeO2的红外光谱和拉曼光谱进行了比较,结果表明,每种情况下G(ω)与光谱之间的关系不同,但红外吸收系数可能相当接近G(ω),除非低于200 cm-1左右。并与玻璃体GeO2模型的理论频率分布进行了比较。该玻璃的中子能谱在13 cm-1处有一个峰值,估计包含约0.05%的总模态,并归因于与某些特殊但迄今尚未确定的结构缺陷相关的共振模态。
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引用次数: 14
Thermodynamic properties of some polymer solutions at elevated temperatures 某些聚合物溶液在高温下的热力学性质
Pub Date : 1970-01-01 DOI: 10.1039/DF9704900115
A. Liddell, F. L. Swinton
The enthalpies of mixing at infinite dilution have been measured for the four systems polyisobutylene + benzene, +n-pentane, +n-hexane and +n-octane from room temperature up to the vicinity of the lower critical solution temperatures. The results are analyzed in terms of the statistical theories of polymer solutions due to Prigogine and to Flory. Both theories give a reasonable qualitative description of the experimental results.
本文测量了聚异丁烯+苯、+正戊烷、+正己烷和+正辛烷四种体系在室温至较低临界溶液温度附近无限稀释时的混合焓。从高分子溶液的统计理论出发,对结果进行了分析。两种理论都对实验结果给出了合理的定性描述。
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引用次数: 33
Liquid-liquid equilibria in multicomponent polymer systems 多组分聚合物体系的液-液平衡
Pub Date : 1970-01-01 DOI: 10.1039/DF9704900144
R. Koningsveld
The effect of polydispersity on liquid-liquid phase relationships in equilibrium is reviewed and found to be similar for all the kinds of systems examined. As a rule, it is not allowed to identify a cloud-point curve with a binodal (coexistence curve), nor the maximum in a cloud-point curve with a critical point. In any kind of system (solvent-polymer; polymer 1-polymer 2; solvent-non-solvent-polymer; solvent-polymer 1-polymer 2) measurement of the consolute state opens the way towards accurate determination of interactions parameters. Use of the critical opalescence for the latter purpose is subject to complications.
本文回顾了多分散性对平衡液-液相关系的影响,并发现对所有类型的体系都是相似的。通常,不允许用双节点(共存曲线)识别云点曲线,也不允许用临界点识别云点曲线中的最大值。在任何体系(溶剂-聚合物)中;聚合物1-聚合物2;solvent-non-solvent-polymer;溶剂-聚合物1-聚合物2)溶质态的测量为精确测定相互作用参数开辟了道路。后一种目的使用临界乳光容易引起并发症。
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引用次数: 41
Small angle light scattering by ordered polymer solutions 有序聚合物溶液的小角光散射
Pub Date : 1970-01-01 DOI: 10.1039/DF9704900137
V. G. Baranov
The method of small angle scattering of polarized light permits one to investigate fast processes of ordering of polymer solutions in the course of crystallization, and in particular, to study the kinetics of spherulite growth. The registration velocity of the scattering patterns was not lower than 2 photos s–1, the exposure did not exceed ½ s, and the range of the size registered was from a fraction of a micron to several microns. This method was used for studying the temperature dependence of the spherulite growth rate during isothermal crystallization of polypropylene solutions in decalin in the absence of the “kinetic memory” effect. The growth rate followed fairly closely the general thermodynamic relationships. Crystallization of the polypropylene solution in decalin carried out with stretching of the jet leads to the growth of spherulites flattened with respect to the stretching direction. When the take-up velocity grows, the flattening of the spherulites increases and their radius decreases. A general formal explanation is given of the phenomenon of the flattening of the spherulites in the course of their growth in a mechanical field and of the peculiarities of the supermolecular order formation during molecular orientation.
偏振光的小角散射方法使人们可以研究聚合物溶液在结晶过程中的快速排序过程,特别是研究球晶生长的动力学。散射模式的配准速度不低于2张照片s - 1,曝光不超过½s,配准的尺寸范围从几分之一微米到几微米。用该方法研究了在不存在“动力学记忆”效应的情况下,聚丙烯溶液等温结晶过程中球晶生长速率的温度依赖性。增长率与一般热力学关系相当接近。随着射流的拉伸,聚丙烯溶液在十氢化萘中结晶,导致球晶的生长相对于拉伸方向变平。随着卷取速度的增大,球晶的扁化程度增大,半径减小。给出了球晶在力学场中生长过程中变平的现象和分子取向过程中超分子有序形成的特性的一般形式解释。
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引用次数: 11
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Discussions of The Faraday Society
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