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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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Solutions of polydiacetylenes in good and poor solvents : a light and neutron scattering study

TL;DR: In this article, the properties of P-3BCMU and P-4BCMU solutions in good and poor solvents have been investigated, by use of light and neutron scattering techniques.
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Liquid crystal phase transitions in dispersions of rod-like colloidal particles

TL;DR: In this article, the influence of the steric stabilizer, the dispersion medium and the presence of non-adsorbing polymer on the phase transition process of isotropic - nematic (I - N) was examined.
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Scattering of Disklike Particle Suspensions: Evidence for Repulsive Interactions and Large Length Scale Structure from Static Light Scattering and Ultra-Small-Angle Neutron Scattering

TL;DR: In this article, the authors present static light scattering results for Laponite suspensions and show that the Onsager result underestimates the repulsive contribution in discotic systems, and they also present neutron scattering results at very low q, which conclusively confirm the existence of large-scale structure in laponite gels above the isotropic−nematic transition.
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Order-disorder transitions in solutions of discoid micelles

TL;DR: In this article, a first order lamellar to nematic phase transition occurs at 325.13 (1) to 325.50(1) K and a first-order nematic to isotropic micellar solution transition at 330.83 (1)-k K.
Journal ArticleDOI

Hierarchical supramolecular ordering with biaxial orientation of a combined main-chain/side-chain liquid-crystalline polymer obtained from radical polymerization of 2-vinylterephthalate.

TL;DR: This work demonstrates that when two separate components, one offering the "jacketing" effect to the normally flexible backbone and the other with mesogens that form surrounding LC phases, are introduced simultaneously into the side chains, the polymer obtained can be described as an MCSCLCP with a fascinating hierarchically ordered structure.
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.