Liquid–liquid phase equilibria of hyperbranched polymers—Experimental study and modeling

Hyperbranched Polymers in a Supercritical Fluid: Recent Progress on Phase Behavior and Modeling

“…A generalized LCT equation combined with a modified extended chemical association lattice model (ECALM) were also developed to allow both of the component molecules in a binary system to posses any architecture and describe both the self-association and cross-association for both components [75]. The generalized LCT-ECALM equation agreed well with various experimental data [43,75].…”

“…Enders' group [41][42][43][44] reported the liquid-liquid phase equilibrium (LLE) data of the binary and ternary system containing Boltorn ® series hyperbranched polyester in water and/or alcohol with different compositions and temperatures at ambient pressure for their further lattice cluster theory (LCT) modeling studies. The liquid-liquid phase behavior results they reported are found to be very different from those found by Jang and Bae before [45].…”

“…The authors gave a possible explanation that the phase transition data determined by Jang and Bae might be SLE data instead of LLE data given the fact of the melting temperature of Boltorn ® H20 above 323 K [42]. In the case of the binary mixture of Boltorn ® H40 and water, the LLE data was determined very carefully to avoid the decomposition of the polymer due to the limited thermal stability of the aqueous Boltorn ® H40 solutions after a longer time staying at temperatures near the phase transition point, which was found with size exclusion chromatography by the authors [43]. It should be noted that each LLE temperature of Boltorn ® H20 solution at a given composition was taken as the average of the phase change temperature by heating up and the temperature by cooling down, while the LLE temperature of Boltorn ® H40 solution was only taken as the temperature by cooling down.…”

Demixing behavior of binary polymer mixtures

“…One way to improve the model is the consideration of associative interactions. Therefore the LCT was combined with different association theories [26][27][28][29]. By this combination a good accordance between experimental data and calculations could be achieved.…”

Hyperbranched polymers as phase forming components in aqueous two-phase extraction

“…The associative interactions can be considered by means of an appropriate association model. In this contribution we combined the LCT with the lattice version of Wertheim association theory developed by van Durme [26,27].By using this thermodynamic approach binary and ternary liquidliquidequilibria [28][29][30][31][32][33]as well as solid-liquid equilibrium [34] can be successfully modelled.The combination of the LCT and Wertheim association theory is appliedin this work for the calculation of the partitioning coefficient of an amino acid in ATPS's, i.e. the model is used for the first time for quaternary mixtures.…”