This paper is a contribution of our systematic investigation of the global phase behaviors of the chain molecules mixtures, i.e., polymer mixture solutions.
View Article and Find Full Text PDFWe combine the modified Tompa model with the van der Waals equation to study critical lines for an unequal size of molecules in a binary gas-liquid mixture around the van Laar point. The van Laar point is coined by Meijer and it is the only point at which the mathematical double point curve is stable. It is the intersection of the tricritical point and the double critical end point.
View Article and Find Full Text PDFWe investigate the critical lines of polymer mixtures in the presence of their vapor phase at the mathematical double point, where two critical lines meet and exchange branches, and its environment. The model used combines the lattice gas model of Schouten, ten Seldam and Trappeniers with the Flory-Huggins theory. The critical line structure is displayed for various combinations of the chain length and system parameters in the pressure (P)-temperature (T) plane, as is usually done with experimental results.
View Article and Find Full Text PDFWe present the global phase diagrams for a compressible polymer-solvent system at the mathematical double point and its environment by using the full Tompa model for varying numbers of segments in each polymer chain. A principal transition mechanism is a mathematical double point at which two critical lines meet and exchange branches. We present the critical lines in the density-density and the P, T planes in detail.
View Article and Find Full Text PDFActa Crystallogr Sect E Struct Rep Online
December 2008
The title compound, C(26)H(26)N(2)S(2), was synthesized from bis-[1,3-bis-(3-phenyl-prop-yl)benzimidazolidine-2-yl-idene] and CS(2) in toluene. The mol-ecular structure is composed of a benzimidazole ring system with two phenyl-propyl substituents and a dithio-carboxyl-ate group in the 2-position. The benzimidazole unit is essentially planar, with a maximum atomic deviation of 0.
View Article and Find Full Text PDFActa Crystallogr Sect E Struct Rep Online
November 2008
In the title compound, C(39)H(25)NO(2)·0.5C(6)H(14), the β-lactam ring is nearly planar [maximum deviation of 0.012 (2) Å from the mean plane] and makes dihedral angles of 36.
View Article and Find Full Text PDFActa Crystallogr Sect E Struct Rep Online
October 2008
The title compound, C(15)H(14)N(2)O(4), has two crystallographically independent mol-ecules in the asymmetric unit. In both mol-ecules, the nitro and the two meth-oxy substituents are coplanar with the benzene rings to which they are attached. The benzene rings are nearly coplanar, with dihedral angles between the two benzene rings of 10.
View Article and Find Full Text PDFActa Crystallogr Sect E Struct Rep Online
October 2008
In the title mol-ecule, C(15)H(14)N(2)O(4), the dihedral angle between the two benzene rings is 29.52 (8)°. The nitro and two meth-oxy substituents are almost coplanar with their respective benzene rings.
View Article and Find Full Text PDF