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Phys. Rev. B 50, 11355–11364 (1994)

Higher-order finite-difference pseudopotential method: An application to diatomic molecules

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James R. Chelikowsky
Department of Chemical Engineering and Materials Science and the Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, Minnesota 55455

N. Troullier
Department of Chemical Engineering and Materials Science, Department of Computer Science, and the Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, Minnesota 55455

K. Wu and Y. Saad
Department of Computer Science and the Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, Minnesota 55455

Received 2 June 1994; published in the issue dated 15 October 1994

We present a prescription for performing electronic-structure calculations without the explicit use of a basis. Our prescription combines a higher-order finite-difference method with ab initio pseudopotentials. In contrast to methods that combine a plane-wave basis with pseudopotentials, our calculations are performed completely in real space. No artifacts such as supercell geometries need be introduced for localized systems. Although this approach is easier to implement than one that employs a plane-wave basis, no loss of accuracy occurs. We apply this method to calculate the structural and electronic properties of several diatomic molecules: Si2, C2, O2, and CO.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.50.11355
DOI:
10.1103/PhysRevB.50.11355
PACS:
71.20.Ad, 31.15.+q, 36.40.+d, 61.46.+w