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The Role of Phonon Dispersion in Controlling Atomic Rearrangement in Solid Solutions

Published online by Cambridge University Press:  21 February 2011

T.B. Wu
T.B. Wu*
Affiliation:
Dept. of Materials Science & Engineering, National Tsing Hua University, Hsinchu, Taiwan, R.O.C.
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Abstract

The elastic energy of a solid solution of atoms of different sizes can be written as a Fourier sum with coefficients as a function of position in reciprocal space. Each coefficient is made up of three components. The first one is an energy associated with taking atoms of the pure elements and placing them randomly on the average lattice o f the alloy. The second one is an elastic gradient energy associated with composition fluctuations and which is proportional to the second derivative of the dispersion curve. The third is the relaxation energy concerned with the motion of atoms away from the average lattice to more comfortable positions. Because of the contribution of the elastic gradient energy, it is shown that the shape of the phonon dispersion curve can affect precipitation or ordering in a solid solution.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 21: Symposium GREECE – Phase Transformations in Solids , 1983 , 19
Copyright
Copyright © Materials Research Society 1984

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References

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