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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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High-Concentration Dispersion of Single-Wall Carbon Nanotubes

TL;DR: In this paper, a method to exfoliate and disperse single-wall carbon nanotubes (SWNT) into organic and aqueous solutions is proposed, which does not require truncation of the tubes or surface adsorption.
Journal ArticleDOI

Ionic strength effects on the microstructure and shear rheology of cellulose nanocrystal suspensions

TL;DR: In this paper, the effect of ionic strength on the rheology and microstructure of Cellulose nanocrystals (CNC) aqueous suspensions is studied over a broad range of CNC (3 − 15 wt%) and NaCl concentrations (0 − 15 mM), using polarized optical microscopy combined with rheometry.
Journal ArticleDOI

Liquid-crystalline solutions of electrically conducting polyaniline

Yong Cao, +1 more
- 01 Jan 1993 - 
TL;DR: In this article, the existence of a liquid-crystalline phase implies a rather rigid conformation of the fully protonated polyaniline in solution, and it is suggested that protonation induces a chain stiffening and extension of the macromolecules resulting from a combination of electronic delocalization and counter-ion "crowding".
Journal ArticleDOI

Isotropic-nematic phase transition and angular correlations in isotropic suspensions of tobacco mosaic virus

TL;DR: This paper presents a meta-analyses of the Hochjeld Magnetlabor at the Max-PlanckInstitut fur Festkorperforschung, 166X, Grenoble CEDEX, France, which combines X-ray diffraction analysis, high-resolution 3D image analysis, and 3D Monte Carlo simulation.
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.