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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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Methods of preparing orientated tobacco mosaic virus sols for X-ray diffraction

TL;DR: In this paper, a method for preparing orientated tobacco mosaic virus sols suitable for study by X-ray diffraction is described, and a detailed description of the methods used is given.
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Easy Preparation of Self-Assembled High-Density Buckypaper with Enhanced Mechanical Properties

TL;DR: The preparation of self-assembled and well-aligned CNTs with a densely packed nanostructure in the form of buckypaper via a simple filtration method exhibited notably enhanced packing density, strength, modulus, and hardness compared to previously reported buckypapers.
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Long-time translational self-diffusion in isotropic and nematic dispersions of colloidal rods

TL;DR: In this paper, the long-time self-diffusion in dispersions of rigid colloidal rods with an aspect ratio of 19 was studied with fluororescence recovery after photobleaching (FRAP)in isotropic and nematic phases.
Journal ArticleDOI

Carbon-based liquid crystals: art and science

TL;DR: In this paper, the authors deal with both thermotropic and lyotropic liquid crystalline phases obtained from isotropic and anisotropic carbon building blocks along with the carbonaceous mesophase and summarise different strategies adopted to obtain such ordered fluid phases of carbon and their subsequent exploitation in the fabrication of carbon-based materials and devices.
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.