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Cryoscopy in polymer solutions: scaling laws and Kauzmann paradox
Author(s) -
Neffati R.,
Rault J.
Publication year - 2001
Publication title -
macromolecular symposia
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.257
H-Index - 76
eISSN - 1521-3900
pISSN - 1022-1360
DOI - 10.1002/1521-3900(200103)166:1<195::aid-masy195>3.0.co;2-f
Subject(s) - solvent , thermodynamics , melting temperature , polymer , scaling law , enthalpy , scaling , materials science , diagram , chemistry , polymer chemistry , organic chemistry , physics , mathematics , composite material , geometry , statistics
We discuss the melting behavior of the solvent's crystals in linear flexible polymer solutions. Taking into account the Daoud ‐ Jannink (DJ) diagram, and the limit Kauzmann temperature T K , one gives the cryoscopic laws describing the solid‐liquid transition of the solvent, in the different concentration ‐ temperature DJ domains. Finally one explains why, for thermodynamic reasons, below a critical concentration ϕ K , the solvent can not crystallize. In these systems, the non crystallizable amount of solvent depends of the theta temperature characterizing the polymer‐solvent interaction, the Kauzmann temperature and the ratio between the melting enthalpy and the melting temperature of the pure solvent.