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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

Methods of preparing well-orientated sols of f-actin containing filaments suitable for X-ray diffraction

TL;DR: Methods of preparing orientated f-actin and reconstituting thin filaments that are suitable for X-ray diffraction that allow us to analyse the structure of f-Actin to at least 15 A resolution are described.
Journal ArticleDOI

Effect of Hydrothermal Conditions on the Morphology of Colloidal Boehmite Particles: Implications for Fibril Formation and Monodispersity

TL;DR: In this paper, the synthesis of colloidal boehmite (AlOOH) is studied by heating basic aluminum chloride solutions under constant stirring, and it is shown that at temperatures between 140° and 190°C the fibrils are fairly monodisperse with 20% standard deviation in their length for an Al2O3:Cl molar ratio about 1.0.
Journal ArticleDOI

DNA in a liquid‐crystalline environment: Tight bends, rings, supercoils

TL;DR: In this article, a scaling theory is given for a liquid crystal of untwisted DNA rings in which nematic order and ring elongation are self-consistently coupled.
Journal ArticleDOI

Anomalous Fluctuations of Nematic Order in Solutions of Semiflexible Polymers.

TL;DR: Large-scale molecular dynamics simulations combined with density functional theory are used to locate the isotropic-nematic (I-N) transition and to validate this cylindrical confinement of polymers in a cylinder much larger than the radius of the solution.
Journal ArticleDOI

Watching molecules crowd : dna double helices under osmotic stress

TL;DR: In highly concentrated DNA mesophases the authors see a crowding of molecules through electrostatic or hydration repulsion that confines their movements and positions, based on directly measured packing energies and concurrently measured structural parameters.
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.