Journal
COMPUTATIONAL MATERIALS SCIENCE
Volume 59, Issue -, Pages 101-107Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.commatsci.2012.02.015
Keywords
Alloys; Cluster expansion; Derivative structures; Enumeration; Ag-Pt; Silver-platinum
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Funding
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [908753] Funding Source: National Science Foundation
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We present an algorithm for generating derivative superstructures for large unit cells at a fixed concentration. The algorithm is useful when partial crystallographic information of an ordered phase is known. This work builds on the previous work of Hart and Forcade [Phys. Rev. B 77 224115, 2008; Phys. Rev. B 80 014120, 2009]. This extension of the original algorithm provides a mapping from atomic configurations to consecutive integers when only a subset (fixed concentration) of all possible configurations is under consideration. As in the earlier algorithm, this mapping results in a minimal hash table and perfect hash function that enables an efficient method for enumerating the configurations of large unit cells; the run time scales linearly with the number of symmetrically-distinct configurations. We demonstrate the algorithm for a proposed structure in the Ag-Pt system comprising 32 atoms, with stoichiometry 15:17, a configuration space of similar to 400,000. (C) 2012 Elsevier B.V. All rights reserved.
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