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A model for diffusion in a glassy polymer 玻璃状聚合物中的扩散模型
Pub Date : 1965-12-01 DOI: 10.1016/0095-8522(65)90071-1
W.R Vieth, K.J Sladek

A new technique for estimating diffusion rates in solid materials from transient sorption data was developed and applied to the diffusion of gases in polymer films. Specifically, the analysis developed here applies to solutes which are sorbed according to a particular isotherm: one described by a linear component (Henry's law) and a commonly observed nonlinear component (Langmuir equation). The linear component corresponds physically to gas dissolved in the amorphous regions of the polymer; the nonlinear, to gas trapped in polymer microvoids, analogous to the adherence of gas molecules to sites on the surface of porous adsorbents.

By using this equilibrium isotherm together with the assumptions that the gas trapped in microvoids is immobilized, and that the driving force for diffusion is the concentration gradient of dissolved molecules, a mathematical description of transient sorption was developed; this diffusion model consisted of a nonlinear partial differential equation. With the use of a finite-difference technique, solutions to the equation were obtained; these were next applied to data for the solution of CO2 in a one mil “Mylar” polyester film at 40°C. The diffusivity was estimated to be 1.74 × 10−9 cm.2/sec. and the precision of the method was estimated at ±12%.

In summary, the method developed has been successfully applied, and the proposed diffusion mechanism was thereby validated. It is believed that this method has wide potential applicability not only to the study of diffusion in polymers but also to the measurement of effective diffusivities of gases in porous catalysts.

提出了一种利用瞬态吸附数据估计固体材料中扩散速率的新方法,并将其应用于聚合物薄膜中气体的扩散。具体地说,这里发展的分析适用于根据特定等温线吸附的溶质:一个由线性分量(亨利定律)描述,一个由通常观察到的非线性分量(朗缪尔方程)描述。线性组分在物理上对应于溶解在聚合物非晶区中的气体;聚合物微孔中的非线性气体,类似于气体分子附着在多孔吸附剂表面的位置。利用这一平衡等温线,并假设被困在微孔中的气体是固定的,扩散的驱动力是溶解分子的浓度梯度,建立了瞬态吸附的数学描述;该扩散模型由一个非线性偏微分方程组成。利用有限差分技术,得到了方程的解;接下来,将这些数据应用于40°C下1 mil“Mylar”聚酯薄膜中CO2溶液的数据。扩散系数估计为1.74 × 10−9 cm.2/sec。估计该方法的精密度为±12%。综上所述,所开发的方法已成功应用,并由此验证了所提出的扩散机制。认为该方法不仅适用于聚合物扩散的研究,而且适用于多孔催化剂中气体有效扩散系数的测定。
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引用次数: 289
Inorganic ion exchange membranes 无机离子交换膜
Pub Date : 1965-12-01 DOI: 10.1016/0095-8522(65)90064-4
J.I Bregman, R.S Braman

A new class of ion exchange membranes has been developed for possible use in conversion of brackish water to fresh water. These membranes are based primarily on inorganic ion exchangers and have small quantities of extremely stable high temperature resistant organic polymers as binders.

The best cation exchange membranes to date utilize zirconium phosphate as the exchange material and Teflon or Kynar as the binder. The optimum anion exchange membranes have hydrous thorium oxide as the exchange material and the same organic binders.

The membranes are still in an early state of development but can be expected to show certain advantages over organic membranes. These include stability to high temperatures and to wetting-drying cycles. Resistance values and transference numbers of the membranes have not yet reached those of the organic ion exchange membranes but are in the process of improvement.

一种新型离子交换膜已被开发出来,可能用于将微咸水转化为淡水。这些膜主要是基于无机离子交换剂,并有少量非常稳定的耐高温有机聚合物作为粘合剂。目前最好的阳离子交换膜采用磷酸锆作为交换材料,聚四氟乙烯或基纳作为粘合剂。最佳的阴离子交换膜采用水合氧化钍作为交换材料,并采用相同的有机粘合剂。该膜仍处于早期发展状态,但可以预期比有机膜显示出某些优势。这包括对高温和干湿循环的稳定性。膜的电阻值和转移数尚未达到有机离子交换膜的电阻值和转移数,但仍在改进过程中。
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引用次数: 28
Kinetics of water and salt transport in cellulose acetate reverse osmosis desalination membranes 醋酸纤维素反渗透脱盐膜中水盐运输动力学
Pub Date : 1965-12-01 DOI: 10.1016/0095-8522(65)90072-3
Alan S Michaels, Harris J Bixler, Robert M Hodges Jr.
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引用次数: 40
Properties of organic-water mixtures. IV. The effect of various salts on the miscibility gap of the glycerol triacetate-water system 有机-水混合物的性质。四、不同盐类对三乙酸甘油-水体系混相间隙的影响
Pub Date : 1965-12-01 DOI: 10.1016/0095-8522(65)90070-X
Richard J Raridon, Kurt A Kraus

The effect of various salts on the miscibility gap of the glycerol triacetate (GTA)water system was examined at 25°C. Whereas addition of NaCl and KC1 reduces the mutual solubility of GTA and water, the addition of certain other salts, e.g., perchlorates, thiocyanates, iodides, bromides, salicylates, and zinc chloride, increases the mutual solubility of GTA and water to such an extent that complete miscibility may result.

For the anions listed the “salting-in” effects are, in general, insensitive to the cation used or its charge. Plots of equivalents of salt required to produce miscibility vs. wt. percent GTA showed curves with maxima usually at about 40% GTA. Miscibility at the maximum required ca. 1 mole of perchlorate or salicylate ions per kilogram of solvent; for thiocyanates, iodides, bromides, and zinc chloride, the corresponding concentrations were usually larger.

For several salts measurements were made in the temperature range 2° to 75°C. The mutual solubility of GTA and water in the absence of salts increases slightly with increasing temperature. Less NaC7H5O3 was required for miscibility at a higher temperature. However, for Mg(ClO4)2, KCNS, NaI, and CdBr2, more salt was required for miscibility at a higher temperature.

在25℃条件下,考察了不同盐类对三乙酸甘油(GTA)水体系混溶间隙的影响。NaCl和KC1的加入降低了GTA和水的相互溶解度,而某些其他盐的加入,如高氯酸盐、硫氰酸盐、碘化物、溴化物、水杨酸盐和氯化锌,则增加了GTA和水的相互溶解度,达到完全混溶的程度。对于所列的阴离子,“盐入”效应通常对所使用的阳离子或其电荷不敏感。产生混相所需的盐当量与GTA百分比的曲线显示,最大值通常在40% GTA左右。最大混相要求每千克溶剂约1摩尔高氯酸盐或水杨酸盐离子;对于硫氰酸盐、碘化物、溴化物和氯化锌,相应的浓度通常较大。对几种盐在2°至75°C温度范围内进行了测量。在无盐条件下,GTA与水的相互溶解度随温度的升高略有增加。在较高的温度下,需要较少的NaC7H5O3来实现混相。然而,对于Mg(ClO4)2、KCNS、NaI和CdBr2,在较高的温度下需要更多的盐才能实现混溶。
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引用次数: 5
Transmission of water and ions through crosslinked hydrophilic membranes 水和离子通过交联亲水性膜的传输
Pub Date : 1965-12-01 DOI: 10.1016/0095-8522(65)90073-5
R.F Baddour, D.J Graves, W.R Vieth

In order to develop better semipermeable membranes for reverse osmosis, the mechanism of water transport must be determined. An evaluation of existing theories led to the hypothesis that degree of crosslinking and polar group content of a polymer were important factors in determining its semipermeability.

This hypothesis was tested by preparing a series of crosslinked reinforced mem branes by polymerization in a thin film between two plates. These membranes were copolymers of ethylene glycol monomethacrylate (EGM), ethyl methacrylate (EM), and ethylene glycol dimethacrylate (EGD). High-pressure reverse osmosis experiments with a sodium chloride solution and water sorption tests were then conducted and the results were correlated with the degree of crosslinking and hydroxyl content of the membranes.

For copolymers of EGM and EGD, the degree of salt rejection rose as the membrane was more tightly crosslinked, then dropped off sharply. The rise was attributed to a decrease in translational motion of the polymer chain segments relative to one another, with associated hindrance to ion diffusion. The fall was due to monomersolvent incompatibility during polymerization with attendant precipitation of the polymer forming under these conditions, resulting in macrovoids in the membrane structure. As a result, water flux increased as the membrane was more highly crosslinked. Crosslinking had a great effect on water sorption.

Copolymers containing EM showed virtually none of the semipermeability of EGM polymers. Water flux dropped off very rapidly, and salt rejection was not measurable. Perhaps most striking was the fact that water sorption tests showed a direct proportionality between hydroxyl content of the polymer and water sorption capacity.

为了研制出更好的反渗透半透膜,必须确定水的输运机制。对现有理论的评价得出这样的假设:聚合物的交联度和极性基团含量是决定其半渗透性的重要因素。通过在两片板之间的薄膜中聚合制备一系列交联增强膜,验证了这一假设。这些膜是乙二醇单甲基丙烯酸酯(EGM)、甲基丙烯酸乙酯(EM)和乙二醇二甲基丙烯酸酯(EGD)的共聚物。然后用氯化钠溶液进行高压反渗透实验和吸水性实验,并将实验结果与膜的交联度和羟基含量进行相关性分析。对于EGM和EGD共聚物,随着膜交联越紧密,脱盐程度越高,然后急剧下降。这一上升归因于聚合物链段相对于另一个的平移运动的减少,以及相关的离子扩散障碍。这种下降是由于聚合过程中单体溶剂的不相容性以及在这些条件下形成的聚合物的沉淀,导致膜结构中出现巨孔。因此,水通量随着膜交联程度的提高而增加。交联对吸水性有很大的影响。含有EM的共聚物几乎没有EGM聚合物的半渗透性。水通量下降得非常快,盐的排出量无法测量。也许最引人注目的事实是,吸水试验表明,聚合物的羟基含量与吸水能力成正比。
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引用次数: 12
Editors' note 编者注
Pub Date : 1965-12-01 DOI: 10.1016/0095-8522(65)90063-2
Milton Kerker, A.C Zettlemoyer
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引用次数: 0
The permeation of lipid substances through porous membranes 脂质物质通过多孔膜的渗透
Pub Date : 1965-12-01 DOI: 10.1016/0095-8522(65)90065-6
Charles W Carr

In aqueous systems, fatty acid salts below their critical micelle concentration (CMC) diffuse through collodion membranes of graded porosity at a rate which varies indirectly as the chain length of the fatty acids and directly as the porosity of the membranes. For a given salt the rate is somewhat less than for a nonelectrolyte of the same molecular weight.

When the concentration of the fatty acid salt is above the CMC, the rate is dependent on the size of the micelles relative to the pore size. Phospholipids, which exist in solution as very large micelles, are virtually impermeable even in very porous membranes. Cholesterol or benzene solubilized in lipid micelles can be transported through porous membranes, but the pores must be large enough to accommodate the micelles.

在水体系中,低于临界胶束浓度(CMC)的脂肪酸盐通过梯度孔隙度的胶膜扩散,其扩散速率与脂肪酸的链长直接相关,与膜的孔隙度直接相关。对于给定的盐,反应速率比相同分子量的非电解质要小一些。当脂肪酸盐的浓度高于CMC时,速率取决于相对于孔径的胶束大小。磷脂以非常大的胶束形式存在于溶液中,即使在非常多孔的膜中也几乎是不可渗透的。溶解在脂质胶束中的胆固醇或苯可以通过多孔膜运输,但孔必须足够大以容纳胶束。
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引用次数: 1
A theory of active transport 主动运输理论
Pub Date : 1965-12-01 DOI: 10.1016/0095-8522(65)90067-X
Richard Conley La Force
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引用次数: 1
A physical interpretation of the ionic fluxes in excitable membranes 可激膜中离子通量的物理解释
Pub Date : 1965-12-01 DOI: 10.1016/0095-8522(65)90066-8
Martin Blank

A mechanism is proposed for the ionic fluxes in excitable membranes based on recent studies of monolayer permeation and of interfacial ionic transport. The excitable membrane is assumed to be a homogeneous lipid bilayer with anionic groups on the inner and outer surfaces and nonselectively adsorbed cations at these sites. The bound ions are in high concentration at the membrane surface and they cause the enhanced ionic fluxes when released during activity. The free ions, which are in equilibrium with the adsorbed ions, give rise to the resting ionic fluxes. Starting with the steady state ionic concentration gradients, the current due to “depolarizing electrodes” causes the concentration of potassium ions near the outer surface to increase, and it is assumed that these ions exchange with and release the bound sodium ions. Because of the increased sodium concentration at the membrane surface, there is an increased sodium ion flux across the membrane. This flux causes a release and a reverse flux of potassium ions by a similar process. The fluxes have been calculated in terms of several membrane parameters, and they can account qualitatively for the ion fluxes and permeability ratios at rest and during activity, the actions of some ions and pharmacologic agents, the effects of ion depletion, etc. Therefore, the mechanism provides a basis for explaining the ionic events at excitable membranes in terms of physical processes at the membrane level.

基于近年来对可激膜的单层渗透和界面离子传输的研究,提出了可激膜中离子通量的机理。可兴奋膜被认为是一种均匀的脂质双分子层,内外表面有阴离子基团,在这些位置有非选择性吸附的阳离子。结合离子在膜表面浓度较高,在活性释放时离子通量增强。自由离子与吸附离子处于平衡状态,产生静息离子通量。从稳态离子浓度梯度开始,由于“去极化电极”产生的电流导致靠近外表面的钾离子浓度增加,并且假设这些离子与结合的钠离子交换并释放。由于膜表面钠离子浓度的增加,通过膜的钠离子通量增加。这种流动通过类似的过程引起钾离子的释放和反向流动。通量是根据几个膜参数计算的,它们可以定性地解释静止和活动时的离子通量和通透率,某些离子和药物的作用,离子耗尽的影响等。因此,该机制为从膜水平的物理过程解释可激膜上的离子事件提供了基础。
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引用次数: 15
Dynamics of water transport in swelling membranes 水在膨胀膜中的运输动力学
Pub Date : 1965-12-01 DOI: 10.1016/0095-8522(65)90068-1
I Fatt, Thomas K Goldstick

The time course of swelling of a membrane during water imbibition is explained using time-independent properties of the membrane and an equation developed from physicochemical considerations. The corneal stroma is an example of a membrane for which sufficient experimental data are available to compare theory and experiment. When account is taken of the uncertainties in both theory and experimental data, there is good agreement between the predicted and observed time course of membrane swelling.

利用膜的时间无关特性和从物理化学角度推导出的方程,解释了膜在吸水过程中膨胀的时间过程。角膜基质是一个膜的例子,它有足够的实验数据来比较理论和实验。当考虑到理论和实验数据的不确定性时,预测的膜膨胀时间过程与观测的膜膨胀时间过程有很好的一致性。
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引用次数: 83
期刊
Journal of Colloid Science
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