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A dimensionless criterion of dispersion for crystalline solids

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Abstract

A dimensionless criterion of dispersion for crystalline solids is proposed based on a comparison of the excess free energy in the compact and disperse state: D L=12σ/Gb 2 pL, where σ is the surface energy, G is the shear modulus, b is the Burgers vector, p is the dislocation density, and L is the particle size. According to this, the critical size of particles corresponding to D L=1 is approximately the same (L 1=500 nm) for all metals. Classification of disperse crystalline solids with respect to the parameter D L is more justified thermodynamically than characterization by the particle size.

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Authors and Affiliations

  1. Moscow State Academy of Fine Chemical Technology, Moscow, Russia

    Yu. V. Levinsky

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  1. Yu. V. Levinsky
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Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 29, No. 5, 2003, pp. 49–53.

Original Russian Text Copyright © 2003 by Levinsky.

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Levinsky, Y.V. A dimensionless criterion of dispersion for crystalline solids. Tech. Phys. Lett. 29, 197–199 (2003). https://doi.org/10.1134/1.1565632

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  • DOI: https://doi.org/10.1134/1.1565632

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