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Journal ArticleDOI

The effects of shape on the interaction of colloidal particles

Lars Onsager
- 01 May 1949 - 
- Vol. 51, Iss: 4, pp 627-659
TLDR
In this article, it was shown that colloids in general are apt to exhibit considerable deviations from Raoult's law and that crystalline phases retaining a fair proportion of solvent may separate from concentrated solutions.
Abstract
Introdzution. The shapes of colloidal particles are often reasonably compact, so that no diameter greatly exceeds the cube root of the volume of the particle. On the other hand, we know many coiloids whose particles are greatly extended into sheets (bentonite), rods (tobacco virus), or flexible chains (myosin, various Iinear polymers). In some instances, a t least, solutions of such highly anisometric particles are known to exhibit remarkably great deviations from Raoult’s law, even to the extent that an anisotropic phase may separate from a solution in which the particles themselves occupy but one or two per cent of the total volume (tobacco virus, bentonite). We shall show in what follows how such results may arise from electrostatic repulsion between highly anisometric particles. Most colloids in aqueous solution owe their stability more or less to electric charges, so that each particle will repel others before they come into actual contact, and effectively claim for itself a greater volume than what it actuaily occupies. Thus, we can understand that colloids in general are apt to exhibit considerable deviations from Raoult’s law and that crystalline phases retaining a fair proportion of solvent may separate from concentrated solutions. However, if we tentatively increase the known size of the particles by the known range of the electric forces and multiply the resulting volume by four in order to compute the effective van der Waal’s co-volume, we have not nearly enough to explain why a solution of 2 per cent tobacco virus in 0.005 normal NaCZ forms two phases.

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Citations
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Mechanochemical proteins, cell motility and cell-cell contacts: the localization of mechanochemical proteins inside cultured cells at the edge of an in vitro "wound".

TL;DR: The depletion of myosin from the motile regions of cells does not rule out the involvement of some form of an actomyosin sliding filament mechanism, but it suggests that other molecular mechanisms for generating motility be seriously considered.
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Statistical Mechanics for Long Semiflexible Molecules: A Model for the Nematic Mesophase

TL;DR: In this article, a model system for long semi-lexible rods is introduced to investigate the nematic mesophase, where the free energy is separated into two parts F = F + Δ, where F represents a fully aligned, hard system and Δ represents a correction which in our case is evaluated by the counting technique of DiMarzio extended to the case of nonrigid rods.
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Fluidity of highly concentrated kaolin suspensions: Influence of particle concentration and presence of dispersant

TL;DR: In this article, the fluidity of highly concentrated kaolin suspensions prepared by filtration technique in the presence of a dispersant (sodium salt of polyacrylic acid) was discussed.
Journal ArticleDOI

Glass, Gel, and Liquid Crystals: Arrested States of Graphene Oxide Aqueous Dispersions

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References
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Journal ArticleDOI

The Role of Attractive and Repulsive Forces in the Formation of Tactoids, Thixotropic Gels, Protein Crystals and Coacervates

TL;DR: In this paper, it was shown that the Coulomb attraction between the micelles and the oppositely charged ions in the solution gives an excess of attractive force which must be balanced by the dispersive action of thermal agitation and another repulsive force.