Representation of Multicomponent Liquid-Liquid Equilibria for Aqueous and Organic Solutions Using a Modified UNIQUAC Model

A modified form of the UNIQUAC model is presented to accurately reproducebinary phase equilibria and ternary and quaternary liquid-liquid equilibria ofaqueous and organic solutions. The model gives a good representation in thereproduction of binary coexistence curves over a wide temperature range usingtemperature-dependent parameters and of binary vapor-liquid equilibria usingtwo binary energy parameters, and in the correlation of ternary and quaternaryliquid-liquid equilibria using ternary and quaternary parameters, in addition tobinary parameters. The quaternary calculated results are compared with thoseobtained from the modified Wilson and extended UNIQUAC models.     

聚合物-溶剂-非溶剂三元相图的计算

改进了Pouchly提出的Flory-Huggins半经验展开式,详细推导了相应的计算三元相图中双结点溶解度曲线(Binodal线)和亚稳均相极限线(Spinodal线)的方程;计算了非溶剂和溶剂的相互作用参数g₁₂、溶剂和醋酸纤维素的相互作用参数g₂₃同时依浓度变化的三元相图。结果表明:新的Flory-Huggins方程更具有普适性。     

Prediction of multicomponent liquid adsorption using excess quantities. II. Calculations for the liquid/solid interface

The utilization of excess quantities as the basis for a thermodynamic approach can simplify the prediction of multicomponent liquid adsorption from binary data. A new method for predicting liquid adsorption on solids is suggested, which is different from the existing equations with respect to the theoretical background and formulation. The applicability of the new model is tested with three ternary adsorption systems. The predicted surface excesses are discussed and compared with experimental ones and with those of other prediction models in the literature. The accordance between measured and predicted ternary data is convincing.     

Adsorption interaction parameter of polyethers in ternary mobile phases: The critical adsorption line

It is shown that in LC of polymers, the interaction parameter in ternary mobile phases can be described by a plane, which is determined by the dependencies in binary mobile phases. Instead of a critical adsorption point, critical conditions are observed along a straight line of composition between the two critical points in binary mobile phases. Consequently, a separation of block copolymers under critical conditions for one block by an adsorption mechanism for the other block can be achieved in ternary mobile phases of different compositions, which allows an adjustment of the retention of the adsorbing block.     

Effect of Temperature on Phase Separation in Liquid Binary System Constituted by Tetradecane and Samarium(III) Nitrate Solvate with Tri-n-Butyl Phosphate and Ternary System Constituted by Tetradecane,Tri-n-Butyl Phosphate,and Samarium(III) Nitrate Solvate with Tri-n-Butyl Phosphate

The phase diagrams of a binary liquid system constituted by tetradecane and samarium(III) nitrate solvate with tri-n-butyl phosphate and a ternary system constituted by tetradecane, tri-n-butyl phosphate, and samarium(III) nitrate solvate with tri-n-butyl phosphate were studied at 298.15-355.15 K. The distribution of components between the phases was considered. The points of critical compositions of the ternary system at various temperatures and the upper critical temperature of mixing of the binary and ternary systems were estimated.     

Polydispersity Effect on the Adsorption of Polymer Mixtures

The changes in molecular mass distribution (MMD) after adsorption from solution in concentration regions below and above the critical concentration of overlapping have been studied for various polymers and their mixtures. It was found that the formation of entanglements in both binary and ternary solutions affects the changes in MMD. For binary and ternary solutions above the critical concentration of overlapping, C*, the entanglements lead to diminishing selectivity of adsorption of high-molecular-weight fractions. Simultaneously, transition through C* diminishes adsorption of the fractions of higher surface activity. It may be assumed that the entanglements play the role of an additional energetic barrier which macromolecules must overcome to be adsorbed. The transition through the critical concentration of overlapping for the case of binary solutions diminishes the selectivity of adsorption of high molecular fractions. Adsorption of polar polymers from the ternary solutions both below and above C* leads to the appearance of the bimodality of MMD due to adsorption of surface-active fractions. Copyright 2000 Academic Press.     

Extension rules

The statement that the solubility is higher for metastable phases than for stable phases can be proved by a relatively simple imaginary experiment. Hence, it follows that the metastable extensions of the solubility limit curves, surfaces, and hypersurfaces in the phase diagrams of binary, ternary, and multicomponent systems cannot run in the single-phase solvent region. A special case for binary systems is the Hollmann’s rule.     

Co(Ⅱ)，Ni(Ⅱ)和Cu(Ⅱ)与L-多巴和1，10-菲咯啉在低介电介质中三元配合物体系的化学物种

对M髤[M=Co,Ni and Cu]与L-多巴(L)和1,10-菲咯啉(X)在的1,4-二氧杂环己烷(DOX)-水混合物【0~60%(V/V)】三元配合物体系在(303.0±0.1)K和离子强度为0.16 mol.L-1情况下进行pH滴定。结果表明:对Co髤和Cu髤而言,三元物种为MLX2H,MLXH,ML2X和MLX,但对Ni髤而言,三元物种为MLX2H,MLXH和MLX。三元物种的稳定性和浓度随介质的介电常数的变化趋势根据静电和非静电力作出解释。同时还给出了物种在不同pH值的DOX-水混合物中的分布图。根据滴定曲线推论了各种二元和三元配合物的生成。用两种方法解释了三元配合物比对应的二元配合物稳定的原因。     

Geometric thermodynamic description of the congruent-melting points of solid solutions in binary and ternary systems

The congruent-melting points of solid solutions are analyzed in binary systems (minima, maxima, and shunts on the melting curves) and ternary systems (minima, maxima, saddles, and saddle-nodes on melting surfaces).     

Flory状态方程理论研究PS/PMMA/SAN相行为

将改进的Flory状态方程理论(EOS)引入含“分子内链段排斥性相互作用”的高分子共混物中,研究含无规共聚物的三元共混体系聚苯乙烯(PS)/聚甲基丙烯酸甲酯(PMMA)/聚苯乙烯-丙烯腈(SAN)无规共聚物的相行为,建立相应的适用于含无规共聚物三元共混体系Spinodal方程.用PS、PMMA、PAN的特征参数及其链段间相互作用参数分别计算相应共聚物的特征参数,由二元相互作用模型计算均聚物-共聚物间的相互作用能参数.在运用EOS理论研究三元均聚物共混体系相行为基础上,进一步预测PS/PMMA/SAN体系的相行为,计算并绘制不同温度下的Spinodal曲线并进行实验验证,理论计算与实验结果吻合.结果表明,EOS理论可以克服经典平均场理论的缺陷,成功描述含分子内排斥作用共混体系相行为与共聚物组成及温度之间的关系.     

N-月桂酰基甲基丙氨酸钠三元复配体系的协同效应北大核心CSCD

将N‑月桂酰基甲基丙氨酸钠(SLMA)依次与月桂酰胺丙基甜菜碱(LAB)、烷基糖苷(APG1214)分别进行二元及三元复配,通过吊片法、稳态荧光探针法、动态光散射及稳态荧光猝灭法,对SLMA/LAB二元复配体系及SLMA/LAB/APG三元复配体系间的协同增效作用,以及溶液组成对其微极性、平均流体力学半径及胶束聚集数的影响进行了研究,并应用正规溶液理论计算二元及三元复配体系的相互作用参数。结果表明,SLMA/LAB二元复配体系及SLMA/LAB/APG三元复配体系均表现出全面增效的协同作用,其最佳物质的量比分别为n(SLMA)∶n(LAB)=3∶7,n(SLMA/LAB)∶n(APG1214)=3∶7,对应临界胶束浓度(CMC)分别为1.054×10^(−3)和1.595×10^(−4) mol/L,SLMA/LAB二元复配体系趋于形成分布集中的单一形态聚集体,且总体偏小;SLMA/LAB/APG三元复配体系的胶束大小比单一体系分布宽,且其胶束体积明显大于二元复配体系。两种复配体系所形成的胶束聚集数均小于单一体系,形成了更加紧密、稳定、较小的胶束结构。SLMA/LAB二元复配体系及SLMA/LAB/APG三元复配体系中表面活性剂分子间的相互作用力加快了稳定胶束的形成,胶束大小分布较宽,以球状及非球状胶束的形式存在,且复配体系形成了更加紧密的胶束结构。     

Salting out of triethylamine from aqueous solutions by potassium nitrate

By visual-polythermal method in the range 5–25°C we studied phase equilibria and critical phenomena in a ternary system potassium nitrate-water-triethylamine, where its component, binary liquid system, is stratified at the lower critical solution temperature.     

Prediction of miscibility regions in ternary blends of poly(styrene-stat-acrylonitrile), poly(acrylonitrile-stat-methyl methacrylate), and poly(styrene-stat-methyl methacrylate)

The miscibilities of ternary copolymer blends prepared from poly(styrene-stat-acrylonitrile), poly(styrene-stat-methyl methacrylate), and poly(methyl methacrylate-stat-acrylonitrile) were predicted by calculating the interaction parameter, χ_blend, for various blend combinations, from the corresponding binary segmental interaction parameters estimated from previous work. Binodal and spinodal curves were calculated using the Flory-Huggins theory and it was observed that the most accurate estimate of the boundary between miscible and immiscible blends was given by the spinodal. It has also been demonstrated that in some of the ternary blends with fixed copolymer compositions the miscibility of the blend can be altered by changing the ratio of the three components in the mixture. Conditions for miscibility in this ternary system, and possibly a general feature of all such systems, are (a) that at least two of the binary interaction parameters χ_ij are less than the critical value χ_crit, while the third should not be too much larger, that is, one of the copolymers may act as a compatibilizer for the other two copolymers, (b) that the difference Δχ = /χ₁₂ ? χ₁₃/ is small. © 1992 John Wiley & Sons, Inc.     

Polythermal study of the salting-out of triethylamine from aqueous solutions with sodium nitrate

Visual-polythermal method was used to study, in the temperature range from ?17 to 25°C, the phase equilibria and critical phenomena in the ternary system constituted by sodium nitrate, water, and triethanolamine, in which the boundary binary system is characterized by stratification with a lower critical solution point.     

The prediction of isothermal phase equilibria for non-ideal multicomponent mixtures from heats of mixing

A method is presented for predicting both vapor—liquid and liquid—liquid equilibria for multicomponent mixtures using heat of mixing data for the constituent binary pairs together with pure component vapor pressures. Its application to two highly non-ideal hydrocarbon ternary systems is discussed. The parameters of the hybrid local composition model of Renon and Prausnitz, known as the NRTL equation, were evaluated from heat of mixing data for the three binary pairs in each of the two ternary systems. The parameters thus obtained were used in the multicomponent form of the NRTL equation to predict the ternary vapor—liquid equilibrium data for the completely miscible system cyclohexane(1)—n-heptane(2)—touluene(3) and for the partially miscible system acetonitrile(1)—benzene(2)—n-heptane(3) without the need for any ternary or higher order parameters.This method predicted compositions of the single phase region of the partially miscible ternary system with a standard deviation of 10%. It also predicted compositions for the fully miscible system with a standard deviation of 4.6%. Total pressure curves for the partially miscible and miscible ternaries were predicted with standard deviations of 6.6% and 4.5% respectively. Poor predictions of the binodal curve for the partially miscible region were obtained. The method offers a means of predicting the whole range of ternary phase equilibria for miscible systems.     

Enthalpies of mixing of liquid alloys in the In-Pd-Sn system and the limiting binary systems

The partial and integral enthalpies of mixing of molten binary In-Pd (up to about 29 at.% Pd), In-Sn (entire compositional range) and Pd-Sn (up to about 53 at.% Pd) alloys were determined at 900 °C. A Calvet-type microcalorimeter was used for the measurements employing a drop calorimetric technique. Additionally, five sections in the ternary In-Pd-Sn system (compositions up to about 40 at.% Pd) were investigated at 900 °C. The ternary interaction parameters were fitted using the Redlich-Kister-Muggiano model for substitutional solutions. The isoenthalpy curves for In-Pd-Sn at 900 °C were constructed for the integral molar enthalpy of mixing. Furthermore, the experimental results in the ternary system were compared with calculated values obtained by employing different binary extrapolation models.     

Resolution and Trace Determination of Selected Oxyanions in Binary and Ternary Mixtures by Differential Pulse Polarography

Abstract

Resolution and trace determination of selected oxyanions in binary and ternary mixtures were studied by differential pulse polarography (DPP) at the dropping mercury electrode. The applicability of DPP for the simultaneous determination of the investigated oxyanions (TeO^{2- 4}, VO^? ₃, IO^? ₃, IO^? ₄, and BrO^? ₃) in the binary and ternary mixtures was also examined with regard to the dependence of the DP current on various parameters such as pH, pulse amplitude, scan rate and drop time. Statistical analysis is included on t h e observed concentrations for each of the oxyanions in the mixture and compared with that obtained by the calibration curves. Limits of detection and quantitat - ion have been calculated for the DPP determination of binary and ternary mixtures of these lected oxyanions.     

Prediction of multicomponent liquid adsorption using excess quantities. III. Calculations for the liquid/air interface

The utilization of excess quantities as the basis of a thermodynamic approach can simplify the prediction of multicomponent data from binary ones. Whereas in Part II the excess formalism was applied to the prediction of liquid phase adsorption on solids, in this paper, the liquid/air interface is investigated. In order to show the generality of the suggested approach, thermodynamic equations are developed in analogy to Part II. Surface tensions are predicted by different excess models and compared with experimental data. From predicted surface tensions, ternary adsorption isotherms on the liquid/air interface are calculated.