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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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Journal ArticleDOI

Chain conformations and phase behavior of conjugated polymers

TL;DR: It is proposed that the starting point for understanding conjugated polymers includes understanding chain conformations and phase behavior and the factors that influence these properties, thereby providing opportunities for the development of novel optoelectronic materials based on conjugation polymers.
Journal ArticleDOI

Dispersions of nanocrystalline cellulose in aqueous polymer solutions: structure formation of colloidal rods.

TL;DR: A simple interaction energy model was used to show successfully the flocculation of NCC particles in the presence of nonadsorbing polymers, based on the incorporation of the depletion interaction term between two parallel plates into the DLVO theory for cubic prismatic rod shaped N CC particles.
Journal ArticleDOI

Nanorod Self-Assembly for Tuning Optical Absorption

TL;DR: This study systematically increases the volume fraction of Au NRs (φrod) (aspect ratio v=3.3) while maintaining a uniform dispersion and finds that the Au NR dispersion is found to depend on the enthalpic interactions between poly(ethylene glycol) brush grafted to the AuNRs and the poly(methyl methacrylate) matrix chains.
Journal ArticleDOI

Monte Carlo simulation of two-dimensional hard ellipses

José A. Cuesta, +1 more
- 01 Aug 1990 - 
TL;DR: Satisfactory agreement is found for the equation of state, but the theoretical prediction for the location of the isotropic-nematic transition disagrees with the simulation results, and the solid phase near melting exhibits anomalously large fluctuations.
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.