Protein partitioning in two-phase aqueous polymer systems. 2. On the free energy of mixing globular colloids and flexible polymers

1992 ◽  
Vol 25 (15) ◽  
pp. 3917-3931 ◽  
Author(s):  
Nicholas L. Abbott ◽  
Daniel Blankschtein ◽  
T. Alan Hatton
Keyword(s):  
Free Energy ◽  
Flexible Polymers ◽  
Two Phase ◽  
Polymer Systems ◽  
Aqueous Polymer ◽  
Energy Of Mixing ◽  
Protein Partitioning ◽  
Free Energy Of Mixing

Protein partitioning in two-phase aqueous polymer systems. 1. Novel physical pictures and a scaling thermodynamic formulation

1991 ◽  
Vol 24 (15) ◽  
pp. 4334-4348 ◽  
Author(s):  
Nicholas L. Abbott ◽  
Daniel Blankschtein ◽  
T. Alan Hatton
Keyword(s):  
Two Phase ◽  
Polymer Systems ◽  
Aqueous Polymer ◽  
Protein Partitioning

The statistical thermodynamics of multicomponent systems

1951 ◽  
Vol 205 (1081) ◽  
pp. 247-269 ◽  
Keyword(s):  
Free Energy ◽  
Thermodynamic Properties ◽  
Potential Energy ◽  
Multicomponent Systems ◽  
Reference Species ◽  
Two Phase ◽  
Energy Of Mixing ◽  
Volume Of Mixing ◽  
Two Component Systems ◽  
Free Energy Of Mixing

This paper describes a new statistical approach to the theory of multicomponent systems. A ‘conformal solution’ is defined as one satisfying the following conditions: (i) The mutual potential energy of a molecule of species L r and one of species L s at a distance ρ is given by the expression u rs (ρ) = f rs u 00 ( g rs ρ ), where u 00 is the mutual potential energy of two molecules of some reference species L 0 at a distance ρ , and f rs and g rs are constants depending only on the chemical nature of L r and L s . (ii) If L 0 is taken to be one of the components of the solution, then f rs and g rs are close to unity for every pair of components. (iii) The constant g rs equals ½( g rr + g ss ). From these assumptions it is possible to calculate rigorously the thermodynamic properties of a conformal solution in terms of those of the components and their interaction constants. The non-ideal free energy of mixing is given by the equation ∆* G = E 0 ƩƩ rs x r x s d rs , where E 0 equals RT minus the latent heat of vaporization of L 0 , x r is the mole fraction of L r and d rs denotes 2 f rs — f rr — f ss . This equation resembles that defining a regular solution, with the important difference that E 0 is a measurable function of T and p , which makes it possible to relate the free energy, entropy, heat and volume of mixing to the thermodynamic properties of the reference species; and the predicted relationships between these quantities agree well with available data on non-polar solutions. The theory makes no appeal to a lattice model or any other model of the liquid state, and can therefore be applied both to liquids and to imperfect gases, and to two-phase two-component systems near the critical point.

Protein partitioning in two-phase aqueous polymer systems. 4. Proteins in solutions of entangled polymers

1992 ◽  
Vol 25 (20) ◽  
pp. 5192-5200 ◽  
Author(s):  
Nicholas L. Abbott ◽  
Daniel Blankschtein ◽  
T. Alan Hatton
Keyword(s):  
Two Phase ◽  
Polymer Systems ◽  
Aqueous Polymer ◽  
Entangled Polymers ◽  
Protein Partitioning

Temperature-dependent protein partitioning in two-phase aqueous polymer systems

1993 ◽  
Vol 26 (7) ◽  
pp. 1546-1554 ◽  
Author(s):  
Mats Carlsson ◽  
Per Linse ◽  
Folke Tjerneld
Keyword(s):  
Temperature Dependent ◽  
Two Phase ◽  
Polymer Systems ◽  
Aqueous Polymer ◽  
Dependent Protein ◽  
Protein Partitioning

Protein partitioning in two-phase aqueous polymer systems

1989 ◽  
Vol 34 (4) ◽  
pp. 541-558 ◽  
Author(s):  
Jesse N. Baskir ◽  
T. Alan Hatton ◽  
Ulrich W. Suter
Keyword(s):  
Two Phase ◽  
Polymer Systems ◽  
Aqueous Polymer ◽  
Protein Partitioning

Higher Order Conditional Probabilities and Thermodynamics of Binary Molten Alloys

1997 ◽  
Vol 11 (02n03) ◽  
pp. 93-106 ◽  
Author(s):  
O. Akinlade
Keyword(s):  
Free Energy ◽  
Experimental Evidence ◽  
Cluster Model ◽  
Excess Free Energy ◽  
Higher Order ◽  
Thermodynamic Quantities ◽  
Equiatomic Composition ◽  
Conditional Probabilities ◽  
Energy Of Mixing ◽  
Free Energy Of Mixing

The recently introduced four atom cluster model is used to obtain higher order conditional probabilities that describe the atomic correlations in some molten binary alloys. Although the excess free energy of mixing for all the systems studied are almost symmetrical about the equiatomic composition, most other thermodynamic quantities are not and thus, the study enables us to explain the subtle differences in their physical characteristics required to describe the mechanism of the observed strong heterocoordination in Au–Zn or homocoordination in Cu–Ni within the same framework. More importantly, we obtain all calculated quantities for the whole concentration range thus complimenting experimental evidence.

Diffusion-Induced Grain Boundary Migration and Role of Defects

1993 ◽  
Vol 319 ◽  
Author(s):  
T.K. Chaki
Keyword(s):  
Free Energy ◽  
Grain Boundary ◽  
Boundary Migration ◽  
Solute Concentration ◽  
Grain Boundary Migration ◽  
Thermally Activated ◽  
Energy Of Mixing ◽  
Free Energy Of Mixing ◽  
Liquid Film Migration ◽  
Lattice Diffusivity

AbstractA model is presented to explain various aspects of diffusion-induced grain boundary migration (DIGM). The driving energies of DIGM are identified as the free energy of mixing and the interface free energy, the former being predominant in most cases of DIGM. The grain boundary migrates due to thermally activated motion of atoms across the interface under the influence of the driving energies. An expression for the velocity of migration is derived. It is shown that this depends parabolically on the solute concentration, in agreement with experimental observations in the case of liquid film migration (LFM), which is analogous to DIGM. Furthermore, the velocity is proportional to lattice diffusivity ahead of the boundary. Recent results of enhancement of DIGM by ion bombardment is explained by radiation-enhanced lattice diffusivity due to introduction of point defects by the ions. The model also explains that diffusion-induced recrystallization (DIR) is due to a free energy decrease associated with the transformation from the amorphous phase in the grain boundary layer to the crystalline phase.

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