The upper critical solution temperature (UCST) and lower critical solution temperature (LCST) have been predicted for 45 polymer/ solvent systems based on Patterson’s theory. The configurational energy and configurational heat capacity used in the theory are determined by the following thermodynamic relations ¹ Uconf: ¼ gV TV CP, conf: ¼ aP TgV V where the thermal expansion coefficient and thermal pressure coefficient are obtained from our empirical equations T ¹T ln(aP T) ¹ 1 ¼ 1:1820 þ 0:8425 ln C T ln(gV =gVC ) ¼ 0:8452 þ 1:1324 ln(V=VC ) þ 2:8940[ln(V=VC )]2 where T C, V C and gVC are the critical temperature, critical volume and thermal pressure coefficient at the critical state. The deviations between predicted and experimental UCST and LCST are generally less than 20°C for 28 polymer/solvent systems. The molecular weight dependence of UCST and LCST is predicted for polystyrene (PS)/cyclohexane, PS/methyl cyclohexane and PS/toluene systems, and good agreement with experimental results is obtained.
Посилання на статтю:
Absolute prediction of upper and lower critical solution temperatures in polymer/solvent systems based on corresponding state theory / F. Wang, S. Saeki, T. Yamaguchi // Polymer. – 1999. – N 40. – P. 2779–2785.