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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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Interaction of fibrinogen with solid surfaces of varying charge and hydrophobic—hydrophilic balance: I. Adsorption isotherms

TL;DR: In this article, a series of polyelectrolyte complex surfaces of varying charge density (bulk ion exchange capacity ranging from +1.21 to −1.33 meq g −1 ) and hydrophilicity (water content from 4.5 to 60 wt%) was studied using an iodine-labeling technique under static conditions.
Journal ArticleDOI

Microscopic one-particle description of reentrant behavior in nematic liquid-crystals

TL;DR: In this paper, the authors described the reentrant behavior in nematic liquid crystals by the treatment of the system as a mixture of monomers and dimers interacting through attractive induced soft interactions as well as hard core repulsions.
Journal ArticleDOI

Numerical study of the phase diagram of a mixture of spherical and rodlike colloids

TL;DR: In this article, a simple model for a colloid dispersed in a solution of stiff rod-like polymers is studied by means of Gibbs ensemble Monte Carlo simulations, and the fluid-solid transition for this model is computed using first-order perturbation theory.
Journal ArticleDOI

Structure and Chirality of the Nematic Phase in α-Chitin Suspensions

TL;DR: In this paper, the structure of chiral nematic phases formed by colloidal suspensions of α-chitin rod-like particles in aqueous media was investigated, and it was shown that the contribution of the crystallites to the ionic strength is evidenced by the linear variation of CI and CN with overall chitin volume fraction.
Journal ArticleDOI

Measuring the nematic order of suspensions of colloidal fd virus by x-ray diffraction and optical birefringence.

TL;DR: It was found that x-ray diffraction is insensitive to the orientational distribution function's precise form, and the measured angular intensity distribution is described equally well by both Onsager's trial function and a Gaussian.
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.