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Phys. Rev. B 77, 224115 (2008) [12 pages]

Algorithm for generating derivative structures

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Gus L. W. Hart1 and Rodney W. Forcade2
1Department of Physics and Astronomy, Brigham Young University, Provo, Utah 84602, USA
2Department of Mathematics, Brigham Young University, Provo, Utah 84602, USA

Received 7 March 2008; published 26 June 2008

We present an algorithm for generating all derivative superstructures—for arbitrary parent structures and for any number of atom types. This algorithm enumerates superlattices and atomic configurations in a geometry-independent way. The key concept is to use the quotient group associated with each superlattice to determine all unique atomic configurations. The run time of the algorithm scales linearly with the number of unique structures found.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.77.224115
DOI:
10.1103/PhysRevB.77.224115
PACS:
61.50.Ah, 61.66.Dk, 61.90.+d, 61.50.Nw