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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
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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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Microrheometry underestimates the values of the viscoelastic moduli in measurements on F-actin solutions compared to macrorheometry.

TL;DR: Investigating F-actin solutions of different mean filament lengths shows that microscopic and macroscopic G'(f) and G"(f) converge, if the probe particle used in microrheometry becomes large compared to the length of actin filaments.
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Simplified Onsager theory for isotropic-nematic phase equilibria of length polydisperse hard rods

TL;DR: In this paper, the phase behavior of thin hard rods with length polydispersity was analyzed based on a simplified Onsager theory, obtained by truncating the series expansion of the angular dependence of the excluded volume.
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Cellulosic materials as natural fillers in starch-containing matrix-based films: a review

TL;DR: In this article, the effect of cellulose and lignin on starch-containing matrix-based thermoplastic materials is analyzed and a review of cellulosic material-based fillers is presented.
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Entropy-driven formation of chiral nematic phases by computer simulations.

TL;DR: A novel chiral hard-particle model, namely particles with a twisted polyhedral shape is introduced and a stable fully entropy-driven cholesteric phase is obtained by computer simulations.
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Phase behavior of a mixture of platelike colloids and nonadsorbing polymer

TL;DR: It is shown that depletion attraction, brought about by the addition of nonadsorbing polymer, enriches the phase behavior of these platelet suspensions even further and explains the observed topology of the phase diagram by the interplay between depletion attraction and the platelets' polydispersity.
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.