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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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Structural analysis of an oriented liquid crystalline copolyester

TL;DR: In this article, wide angle X-ray scattering from an aligned sample of a random copolyester is presented, together with an analysis of the derived cylindrical distribution function, showing high local orientational correlation of chains, although the global orientation is less marked.
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Ion‐Pair Theory of Concentrated Electrolytes. II. Approximate Dielectric Response Calculation

TL;DR: In this article, the wavelength-dependent dielectric response function for the primitive model electrolyte, e(k), is evaluated by means of a self-consistent torque calculation for ion pairs in an external field.
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Optically anisotropic thin films by shear-oriented assembly of colloidal nanorods.

TL;DR: Device-scale thin films of highly oriented (in-plane) colloidal nanorods are made available by using a simple coating process involving thixotropic rod gel suspensions, leading to films exhibiting outstanding anisotropic optical properties, such as a remarkably large birefringence associated with high transparency.
Journal ArticleDOI

Structures of a Long-Chain n-Alkane, n-C44H90, on a Au(111) Surface: An Infrared Reflection Absorption Spectroscopic Study

TL;DR: In this article, the same authors found four different structures for tetratetracontane (TTC) on the Au surface, including flat-on, all-trans and crystalline structures.
Journal ArticleDOI

Liquid crystal ordering of DNA and RNA oligomers with partially overlapping sequences

TL;DR: In this paper, it was shown that very short double-stranded B-DNA and A-RNA, down to six base pairs in length, can self-organize into chiral nematic and columnar liquid crystal (LC) phases.
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.