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Applied Physics Letters / Volume 97 / Issue 17 / STRUCTURAL, MECHANICAL, THERMODYNAMIC, AND OPTICAL PROPERTIES OF CONDENSED MATTER

Appl. Phys. Lett. 97, 171911 (2010); http://dx.doi.org/10.1063/1.3507897 (3 pages)

Melting, thermal expansion, and the Lindemann rule for elemental substances

A. V. Granato1, D. M. Joncich1, and V. A. Khonik2

1Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801, USA
2Department of General Physics, Voronezh State Pedagogical University, 86 Lenin St., Voronezh 394043, Russia

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(Received 7 July 2010; accepted 9 October 2010; published online 29 October 2010)

An interpretation of a long-standing problem—the Lindemann melting rule—has been suggested within the framework of the interstitialcy theory. Melting is considered to be due to the rapid generation of thermodynamically equilibrium defects—dumbbell interstitials, which drastically decrease the shear modulus at the melting point. An analytical expression for the relationship between the thermal expansion coefficient and melting temperature coinciding with the Lindemann melting rule has been derived. The obtained results agree with available data on elemental substances. A correlation between the melting temperature and shear modulus has been discovered and explained within the framework of the same approach.

© 2010 American Institute of Physics

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KEYWORDS and PACS

Keywords

interstitials, melting point, shear modulus, thermal expansion

PACS

  • 64.70.dj

    Melting of specific substances

  • 65.40.De

    Thermal expansion; thermomechanical effects

  • 61.72.jj

    Interstitials

  • 81.40.Jj

    Elasticity and anelasticity, stress-strain relations

  • 62.20.de

    Elastic moduli

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3507897

PUBLICATION DATA

ISSN

0003-6951 (print)  
1077-3118 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

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