Application of Restrictive Primitive SAFT Coupled with Different Hard-Sphere Equations to Model Mean Ionic Activity Coefficients of Electrolyte Solutions

In this work, the primitive SAFT equation of state along with three different hard-sphere equations was used to correlate and predict mean ionic activity coefficients of aqueous electrolyte solutions. The mean ionic activity coefficient of aqueous electrolyte solutions was considered as the contribution of hard-sphere and dispersion effects. The Mansoori (M), Wang-Khoshkbarchi-Vera (WKV) and Ghotbi-Vera (GV) hard-sphere equations were applied in correlating the mean ionic activity coefficient of electrolyte solutions. The comparison among above indicated equations was shown. First, vapor pressure and densities of water in the temperature range of 373.15 to 423.15 K was regressed by SAFT equation of state. In the restrictive primitive mean spherical model, ions were hard spheres without any chain structure. Neither association effects were considered in this study. Clearly, in common used five SAFT parameters were decreased to three, which were calculated by using the experimental mean ionic activity coefficients of electrolyte solutions. The comparison among three hard-sphere equations of state approved that Ghotbi-Vera hard-sphere model (GV) correlated the experimental data accurately than the others; two hard-sphere models. The mean ionic activity coefficients of some electrolyte solutions were being predicted by taking the advantage of the regressed values surely, in a wide range of molality.     

Expressions for the Activity Coefficients and Osmotic Coefficients of Solutions of Electrolytes and Nonelectrolytes Based on the Hydration Model of Zavitsas

In two papers Zavitsas described a model for the thermodynamic properties of aqueous solutions of a single electrolyte or nonelectrolyte (Zavitsas, J Phys Chem B 105:7805–7817, 2001; J Solution Chem 39:301–317, 2010) in which he assumed that part of the water is so strongly bound to the solute that it can be considered as part of it, and thus only the remaining unbound water is considered to be the solvent. He showed that when the usual water mole fraction was replaced by the resulting mole fraction of unbound water, obtained by optimizing an effective hydration number, basically linear relations were obtained to fairly high molalities for the freezing temperature lowering, boiling temperature elevation, and the water activity/vapor pressure of water. However, Zavitsas only considered the properties of the solvent, not the solute. In this paper we derive the corresponding expressions for the activity coefficient of the solute for the usual molality scale based on 1 kg of water, for the modified molality scale based on 1 kg of unbound water, for the mole fraction scale based on the total number of moles of water, and for the modified mole fraction scale based on the number of moles of unbound water. These equations show that if the hydration number is larger than the stoichiometric ionization number of the electrolyte, then all four types of mean activity coefficients are predicted to always be >1 (nearly all hydration numbers reported by Zavitsas for electrolyte solutions are greater than the corresponding ionization numbers), which directly conflicts with extensive experimental and theoretical evidence that the mean activity coefficients of electrolytes in aqueous solutions always initially decrease below unity. In contrast, for nonelectrolyte solutions, the hydration model of Zavitsas gives more realistic values of the activity coefficients.     

混合模型膜有序度参数与活度系数的关系

针对以往关于混合模型膜热力学的有序度参数与活度系数相互关系的经验性，从有序度参数的统计力学意义出发，应用平均场近似，通过经典热力学方法讨论了混合模型膜体系中有序度参数与活度系数两者之间的关系，并求得了其理论表达式。     

电解质溶液自扩散系数的布朗动力学模拟

采用布朗动力学方法对电解质溶液进行了模拟,在传统布朗动力学的基础上综合考虑了流体力学的影响,并且引入SmartMonteCarlo方法的接受概率,避免了离子不现实的移动和位型重叠,这样不仅可以将模拟过程中的时间步长大幅度提高,而且还可使溶质在相空间的演化过程更接近实际.模拟过程以电解质溶液的原始模型为基础,将溶剂看作连续介质,溶质分子之间的相互作用采用软核加静电的势能函数模型,长程静电力采用Ewald加和的处理方法.模拟得到KCl和NaCl溶液的径向分布函数g+-(r),g++(r)和g--(r),并与文献中HNC计算以及模拟的结果进行比较,使用推广的Green-Kubo公式模拟计算溶液中各种离子的自扩散性质,计算结果与实验数据吻合良好.     

Osmotic Coefficients and Activity Coefficients of Nonaqueous Electrolyte Solutions. Part 3. Tetraalkylammonium Bromides in Ethanol and 2-Propanol

Vapor pressure lowering by the addition of tetraethylammonium bromide (0.04 to 2.3 m), tetrapropylammonium bromide (0.04–2.7 m), tetrabutylammonium bromide (0.05–2.5 m), bispiperidinium bromide (0.04–0.7 m) to ethanol and tetrapropylammonium bromide (0.04–1.3 m) and tetrabutylammonium bromide (0.03–1.9 m) to 2-propanol was measured at 25°C with high precision. The experimental data of the corresponding osmotic coefficients are compared to those obtained by the use of Pitzer equations and chemical model calculations. Mean activity coefficients are derived from the osmotic coefficients.     

Determination of Hydrogen Single Ion Activity Coefficients in Aqueous HCl Solutions at 25°C

The single ion activity coefficients of hydrogen and chloride ions in aqueous HCl solutions have been estimated at 25°C at concentrations up to 1 mol-kg^–1, using potentiometric measurements with ion-selective electrodes and appropriate calibration procedures. Two methods are described for an internal calibration of the electrodes in the extended Debye–Hückel concentration range. The results are compared to the conventional pH calibration with external buffer solutions. Since the latter calibration method does not account for the liquid junction potential E _J which arises at the reference electrode, the resulting activity coefficients are quite different in HCl solutions of higher concentration. These differences between internal and external calibration decrease significantly, when a correction for E _J is introduced into the conventional pH calibration. Hence, in solutions of higher ionic strength the accuracy of the conventional pH electrode calibration using buffer solutions is very limited, when exact H⁺ activities are required. The consistency of the results indicates that the liquid junction potentials in the examined systems calculated by the Henderson/Bates approximation are of reasonable precision.     

电解质溶液活度系数测定实验的改进

用电动势法测定AgNO3稀溶液的离子平均活度系数(γ±),操作简单、方便,且由于AgNO3是1-1价型电解质,其稀溶液的lgγ±-I曲线与Debye-H櫣ckel极限公式所预期的结果比较接近。将实验结果与文献值比较,有较好的准确度。     

Osmotic Coefficients and Activity Coefficients of Nonaqueous Electrolyte Solutions. Part 4. Lithium Bromide, Tetrabutylammonium Bromide, and Tetrabutylammonium Perchlorate in Acetone

Vapor pressure lowering by the addition of lithium bromide (0.03–0.8m), tetrabutylammonium bromide (0.01–0.8m), and tetrabutylammonium perchlorate (0.02–3.6m) to acetone was measured at 25°C with high precision. The experimental data of the corresponding osmotic coefficients are compared to those obtained by the use of Pitzer equations and chemical model calculations. Mean activity coefficients are derived from the osmotic coefficients.     

The Impossibility of Measuring Individual Ion Activity Coefficients Using Ion Selective Electrodes

The pressing aim of this work is to prevent an error from proliferating. In arecent paper, a new procedure for calculating the junction potentials has beenpresented, whose purported goal is to allow individual ion activities and activitycoefficients to be identified using the appropriate ISEs. As convincing and usefulas this procedure may seem, it is, however, fallacious. The present analysisconsiders the results obtained when applying the procedure to typical friendlycases liable to precise thermodynamic–mathematical treatments. It is shown thatthe individual ion activities found are a mere artifact of the initial settings and,therefore, change accordingly. The implications raised from the values of suchindividual ion activities and, in particular, those concerned with the modifiedHydration Theory, are, in turn, devoid of any real experimental validation.     

Osmotic Coefficients and Activity Coefficients of Nonaqueous Electrolyte Solutions. Part 2. Lithium Perchlorate in the Aprotic Solvents Acetone, Acetonitrile, Dimethoxyethane, and Dimethylcarbonate

Vapor pressure lowering by the addition of lithium perchlorate to the aprotic solvents acetone (0.02–0.6 m), acetonitrile (0.05–1.2 m), dimethoxyethane (0.02–0.4 m), and dimethylcarbonate (0.03–1.8 m) was measured at 25°C with high precision. The experimental data for the corresponding osmotic coefficients are compared to those obtained from the Pitzer equations and chemical model calculations. Mean activity coefficients are derived from the osmotic coefficients.     

A Novel Attempt to Calculate the Velocity Correlation Coefficients in Ternary Electrolyte Solution

This work gives estimated values of the velocity correlation coefficients VCCs for ternary electrolyte solutions (the system may have a tracer ion as one of the components), utilizing available measured transport coefficients. The VCCs originate from linear response theory and give a deeper insight into the microdynamic structure of complex ionic solutions. By assuming Onsager’s relation to be valid, ten sets of velocity correlation coefficients were calculated for a ternary system and were used to calculate the VCCs for ¹³⁴Cs⁺ ion (present in trace amount) transport in aqueous solutions of CsCl and KCl at 25^○C.     

Temperature Dependences of HCl Activity Coefficients in Aqueous Solutions

Temperature coefficients of activity of the ionic fraction of HCl in water, calculated from tensimetric and calorimetric data, are compared. A correlation dependence is suggested for recalculating the activity coefficients of hydrochloric acid from 298 K to other temperatures.__________Translated from Zhurnal Prikladnoi Khimii, Vol. 78, No. 2, 2005, pp. 211–213.Original Russian Text Copyright © 2005 by Poltoratskii, Osovskaya, Chumanov.     

Activity Coefficients of Ferrocenium Iodide in Aqueous-Organic Salt Solutions

Potentiometric titration at 298.2 was used to measure electrode potentials and to estimate standard EMFs and unified activity coefficients for ferrocenium iodide in aqueous-acetone and aqueousethanol solutions of various salt compositions.     

用于聚合物溶液扩散系数计算的活度系数模型比较

用40个聚合物溶液体系的实验数据,对三个有代表性的活度系数模型用于计算联系自扩散系数和互扩散系数的热力学因子的精度进行了比较,结果表明三个模型的精度相近,误差一般在20％左右。,因而本工作揭示了聚合物溶注保由自扩散系数计算与扩散系数的一个潜在问题。即由于活度系数模型计算热力学因子误差较大所带来的较大不确定性。     

锂离子电池高电压电解液

开发高电压正极材料是发展高能量密度锂离子电池的重要途径之一。常规电解液在高电压下容易与正极材料表面发生副反应,影响高电压正极材料性能的发挥,因此,高电压电解液引起了人们广泛的关注。本文主要从新型溶剂体系和常规碳酸酯溶剂体系两方面对锂离子电池高电压电解液进行综述与评价,提出了现有电解液的不足及面临的问题。从电解液溶剂分子设计理论入手,分析了砜类溶剂、腈基溶剂和离子液体等新型溶剂作为高压电解液溶剂的优缺点,同时探讨了不同种类添加剂在常规碳酸酯溶剂体系中的作用机理。此外,本文还介绍了理论计算方法在锂离子电池高电压电解液研究中的应用,并对其在设计新型高电压电解液中的应用前景进行了展望。     

SIT Parameters for 1:1 Electrolytes and Correlation with Pitzer Coefficients

The empirical parameters of a two-parameter SIT equation were determined for some 1:1 electrolytes: chlorides, bromides, iodides, nitrates, perchlorates and carboxylates of alkali metals, inorganic acids and bases, and tetralkylammonium halides. A wide range of ionic strengths were considered. Canonical correlation analysis identified correlations between the SIT and Pitzer interaction coefficients for different classes of 1:1 type electrolytes.Calculation of SIT parameters: Part II. Part I, ref. [1].     

利用基于Gouy-Chapman模型的离子有效电荷定量表征离子特异性效应

离子特异性效应在固-液界面反应中是普遍存在的. 近期研究指出, 在较低电解质浓度的某些体系中, 离子特异性效应可能并非来源于色散力、经典诱导力、离子半径或水合半径的大小等, 而是界面附近强电场中的离子极化作用. 这种作用可使界面附近的吸附态反号离子被强烈极化(高达经典极化的10⁴倍). 强烈极化的结果将导致离子在界面附近受到的库仑力远远超过离子电荷所能产生的库仑力, 这体现在离子的有效电荷将远大于离子的实际电荷. 因此胶体体系中基于这种强极化的离子有效电荷可以用来定量表征离子特异性效应的强度. 本研究在蒙脱石-胡敏酸混合悬液凝聚过程中发现了Na⁺、K⁺、Ca²⁺、Cu²⁺四种离子的离子特异性效应, 提出了基于激光散射技术测定离子有效电荷的方法, 并成功获得了被强烈极化后的离子有效电荷数值. 实验测得的Na⁺、K⁺、Ca²⁺、Cu²⁺四种离子的有效电荷值分别为: Z_{Na(effective)}=1.46, Z_K(effective)=1.86, Z_{Ca(effective)}=3.92, Z_{Cu(effective)}=6.48.该结果表明: (1) 离子在强电场中的极化将大大提高离子的有效电荷, 从而极大地增强离子所受的库仑作用力;(2) 离子的电子层数越多, 离子极化越强烈, 离子的有效电荷增加越多.     

Activity Coefficients of Aqueous Mixed Ionic Surfactant Solutions from Osmometry

Osmotic techniques for measuring thermodynamic activities, such as isopiestic equilibration, are well established for multicomponent solutions, especially mixed salt solutions. Surprisingly, these techniques have not yet been applied to mixed ionic surfactants, despite the numerous practical applications of these systems and the importance of the Gibbs free energy for micelle stability. In this study, mass-action equations are developed for the osmotic coefficients of solutions of ionic surfactant CA + ionic surfactant CB, with common counterion C. Extended Debye–Hückel equations are used for the ionic activity coefficients. The equilibrium constants for mixed micelle formation are evaluated by Gibbs–Duhem integration of critical micelle concentrations. Fitting the derived equations to the osmotic coefficients of aqueous sodium decanoate + sodium dodecylsulfate solutions measured by freezing-point osmometry is used to evaluate the activities of the total surfactant components. Very large departures from ideal solution behavior are indicated, including stoichiometric surfactant activity coefficients and micelle activity coefficients that drop below 0.05 and 10^?8, respectively, relative to unity for ideal solutions. Osmometry offers many interesting and unexplored possibilities for studies of mixed surfactant thermodynamics.     

利用基于Gouy-Chapman模型的离子有效电荷定量表征离子特异性效应

离子特异性效应在固-液界面反应中是普遍存在的.近期研究指出,在较低电解质浓度的某些体系中,离子特异性效应可能并非来源于色散力、经典诱导力、离子半径或水合半径的大小等,而是界面附近强电场中的离子极化作用.这种作用可使界面附近的吸附态反号离子被强烈极化(高达经典极化的104倍).强烈极化的结果将导致离子在界面附近受到的库仑力远远超过离子电荷所能产生的库仑力,这体现在离子的有效电荷将远大于离子的实际电荷.因此胶体体系中基于这种强极化的离子有效电荷可以用来定量表征离子特异性效应的强度.本研究在蒙脱石-胡敏酸混合悬液凝聚过程中发现了Na+、K+、Ca2+、Cu2+四种离子的离子特异性效应,提出了基于激光散射技术测定离子有效电荷的方法,并成功获得了被强烈极化后的离子有效电荷数值.实验测得的Na+、K+、Ca2+、Cu2+四种离子的有效电荷值分别为:ZNa(effective)=1.46,ZK(effective)=1.86,ZCa(effective)=3.92,ZCu(effective)=6.48.该结果表明:(1)离子在强电场中的极化将大大提高离子的有效电荷,从而极大地增强离子所受的库仑作用力;(2)离子的电子层数越多,离子极化越强烈,离子的有效电荷增加越多.