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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1979 Jul;76(7):3042–3045. doi: 10.1073/pnas.76.7.3042

Density matrix method for orbital localization

Dennis Caldwell 1, Patrick Redington 1, Henry Eyring 1
PMCID: PMC383758  PMID: 16592668

Abstract

A method is presented for localizing molecular orbitals, based on diagonalizing subunits of the density matrix. First, nonbonding orbitals are found by diagonalizing the monatomic subunits; then, diatomic σ or π bonding and antibonding orbitals are obtained from the diatomic subunits for all bonded pairs of atoms; finally, the delocalized π-orbitals for particular chromophores are found by projecting the first set out of the self-consistent field (SCF) Hamiltonian. The results show good general agreement with other localization methods, with advantages in the ability to display group orbitals in complex molecules which most closely resemble the SCF orbitals for simple prototypes.

Keywords: hybrids, self-consistent field

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