Chain length dependence of liquid—liquid equilibria of binary polymer solutions

A molecular thermodynamic model for binary lattice polymer solutions

“…The empirical parameters in their model arose from the truncation of higher order terms in the expansion of the Helmholtz energy of mixing, were determined by using a few Monte-Carlo simulation data of the system with chain length of r 1 Z1 and r 2 Z100. Lambert et al [20] and Bae et al [21] have made similar improvements. These models provide better description of the experimental phase behavior including those with a lower critical solution temperature, loop and hour-glass type liquid-liquid coexistence curves.…”

“…In this work, the critical temperature is used to determine 3/k. For r 2 , there are two simple choices [20,21]. One is to estimate the value of r 2 /r 1 by the ratio of the molar volumes of the corresponding components at a specified temperature.…”

Correlations between phase behaviors and ionic conductivities of (ionic liquid + alcohol) systems

“…Since we assume that the phase at the given condition is a binary system of ionic liquids and alcohols, the moving objects are the ions of the ionic liquids. If the charge effect of each ion remains for the ion interactions, this assumption reduces equation (21) to the simple form in equation (22).…”

“…We also accounted for ILs with water mutual solubility data for various ILs. In addition, we report the ionic conductivity properties of (ILs + alcohol) systems (i.e., [ We employed Chang et al's model [21,22] to describe the experimental data of ILs and various alcohol systems including different cations of the ILs. This thermodynamic model is a very efficient tool to describe the thermodynamic properties of (IL + alcohol) systems.…”

“…Using a new experimental method with a liquid electrolyte system, we observed that the ionic conductivity of the ionic liquid/alcohol was sensitive to the surrounding temperature. We employed Chang et al's thermodynamic model [Chang et al (1997[Chang et al ( , 1998] based on the lattice model. The obtained co-ordinated unit parameter from this model was used to describe the phase behavior and ionic conductivities of the given system.…”