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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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Journal ArticleDOI

Liquid crystallinity in collagen systems in vitro and in vivo

TL;DR: The present review considers the liquid crystalline ordering properties of collagen or procollagen at high concentrations and the question of molecular packing within fibrils and the presence of alignments, undulations and twist at a suprafibrillar level.
Book ChapterDOI

Mineral Liquid Crystals from Self-Assembly of Anisotropic Nanosystems

TL;DR: In this paper, the mesogenic properties of the mineral liquid crystals (MLCs) based on molecular nanowires: Li2Mo6Se6; nanotubes: Imogolite and NaNb2PS10; molecular ribbons: V2O5; exfoliated single sheets: smectic clays and H3Sb3P2O14; nanorods: Boehmite (γ-AlOOH), Akaganeite (β-FeOOH ), Goethite (α-FeOH); platelets:
Journal ArticleDOI

Elastic constants of nematic solutions of rod-like and semi-flexible polymers

Theo Odijk
- 01 Nov 1986 - 
TL;DR: In this paper, the elastic constants of monodisperse rod-like macromolecules are derived in the gaussian approximation so that they constitute exact leading terms of a general asymptotic expansion for high degree of nematic ordering.
Journal ArticleDOI

Observation of smectic-A ordering in a solution of rigid-rod-like particles.

TL;DR: In this article, the authors present experimental evidence of the smectic-A phase in colloidal solutions of tobacco mosaic virus, which is determined by the observation of a layered structure along the virus alignment direction and a liquidlike order within layers.
Journal ArticleDOI

A liquid crystalline phase in spermidine-condensed DNA

TL;DR: It is reported here that the DNA-condensed phase consists of a cholesteric liquid crystal in equilibrium with a more concentrated phase, corresponding to an ordering in the presence of attractive interactions, in contrast with classical liquid crystalline DNA.
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.