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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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Controlled shape growth of Eu- or Tb-doped luminescent Gd2O3 colloidal nanocrystals.

TL;DR: The photoluminescence intensity from rare earth doped Gd(2)O(3) was shown to increase from nanoplates to nanospheres, which was discussed in terms of doping efficiency, crystal structure, and ratio of surface to volume.
Journal ArticleDOI

Mineral liquid crystalline polymers

TL;DR: A survey of the literature on the liquid crystalline properties of dispersions of mineral moieties in solvents can be found in this paper, where the respective roles of the particle anisotropy and electrical charge are specifically discussed in order to define the molecular features required by mineral mixtures to form mesomorphic suspensions.
Journal ArticleDOI

Solvation: Effects of molecular size and shape

TL;DR: In this paper, a general statistical treatment of solvation, a generalized Flory-Huggins theory, and related treatments by Hildebrand and by Sharp et al. were studied to determine the physical basis for size-dependent terms in the chemical potential.
Journal ArticleDOI

Isotropic–nematic transition in micellized solutionsa)

TL;DR: In this article, the isotropic-to-nematic transition in polydisperse suspensions of micellar rods has been studied and it has been shown that the ordered rods are significantly longer than those in the coexisting isotropics phase.
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.