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Vibrational thermodynamics: coupling of chemical order and size effects

Dane Morgan et al 2000 Modelling Simul. Mater. Sci. Eng. 8 295-309   doi: 10.1088/0965-0393/8/3/310  Help

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Dane Morgan1, Axel van de Walle1, Gerbrand Ceder1, Jeffrey D Althoff2 and Didier de Fontaine2
1 Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
2 Department of Materials Science and Mineral Engineering, University of California, Berkeley, CA 94720, USA

Abstract. The effects of chemical order on the vibrational entropy have been studied using first-principles and semi-empirical potential methods. Pseudopotential calculations on the Pd3V system show that the vibrational entropy decreases by 0.07kB upon disordering in the high-temperature limit. The decrease in entropy contradicts what would be expected from simple bonding arguments, but can be explained by the influence of size effects on the vibrations. In addition, the embedded-atom method is used to study the effects of local environments on the entropic contributions of individual Ni and Al atoms in Ni3Al. It is found that increasing numbers of Al nearest neighbours decreases the vibrational entropy of an atom when relaxations are not included. When the system is relaxed, this effect disappears, and the local entropy is approximately uniform with increasing number of Al neighbours. These results are explained in terms of the large size mismatch between Ni and Al. In addition, a local cluster expansion is used to show how the relaxations increase the importance of long-range and multisite interactions.

Print publication: Issue 3 (May 2000)
Received 16 September 1999, accepted for publication 1 March 2000

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