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Near-Equilibrium Solubility of Nanocrystalline Alloys

Published online by Cambridge University Press:  31 January 2012

Alexander Kirchner*
Affiliation:
Institute of Materials Science, Technische Universität, 01062 Dresden, Germany
Thomas Riedl
Affiliation:
Institute of Materials Science, Technische Universität, 01062 Dresden, Germany
Konrad Eymann
Affiliation:
Institute of Materials Science, Technische Universität, 01062 Dresden, Germany
Michael Noethe
Affiliation:
Institute of Materials Science, Technische Universität, 01062 Dresden, Germany
Bernd Kieback
Affiliation:
Institute of Materials Science, Technische Universität, 01062 Dresden, Germany
*
*Corresponding author. Email: [email protected].
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Abstract

Grain boundaries are the dominating type of defect in nanocrystalline materials. Understanding their properties is crucial to the comprehension of nanocrystalline materials behavior. A facile thermodynamic model for alloy grain boundaries is developed. The macroscopic analysis is based on established descriptions of metallic solutions and the universal equation of state at negative pressure, using mainly parameters obtainable from measurements on macroscopic samples. The free energy of atoms in grain boundaries is derived as a function of excess volume, composition, and temperature. Interfacial enrichment is computed using equilibrium conditions between bulk phase and grain boundaries. The excess volume of symmetric ‘100’ tilt grain boundaries in Cu as a common system is obtained by atomistic computer simulation. In a general case the predictions of the proposed model are compared to experimental grain boundary segregation data, yielding a good match. The near-equilibrium solubility of Ag in nanocrystalline Cu and of Cu in nanocrystalline Fe is calculated.

Type
Articles
Copyright
Copyright © Materials Research Society 2012

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References

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