Efficient algorithm for asymptotics-based configuration-interaction methods and electronic structure of transition metal atoms

Publikation: Beitrag in FachzeitschriftArtikelBegutachtung

3 Zitate (Scopus)

Abstract

Asymptotics-based configuration-interaction (CI) methods [G. Friesecke and B. D. Goddard, Multiscale Model. Simul. 7, 1876 (2009)] are a class of CI methods for atoms which reproduce, at fixed finite subspace dimension, the exact Schrödinger eigenstates in the limit of fixed electron number and large nuclear charge. Here we develop, implement, and apply to 3d transition metal atoms an efficient and accurate algorithm for asymptotics-based CI. Efficiency gains come from exact (symbolic) decomposition of the CI space into irreducible symmetry subspaces at essentially linear computational cost in the number of radial subshells with fixed angular momentum, use of reduced density matrices in order to avoid having to store wave functions, and use of Slater-type orbitals (STOs). The required Coulomb integrals for STOs are evaluated in closed form, with the help of Hankel matrices, Fourier analysis, and residue calculus. Applications to 3d transition metal atoms are in good agreement with experimental data. In particular, we reproduce the anomalous magnetic moment and orbital filling of chromium in the otherwise regular series Ca, Sc, Ti, V, Cr.

OriginalspracheEnglisch
Aufsatznummer184101
FachzeitschriftJournal of Chemical Physics
Jahrgang133
Ausgabenummer18
DOIs
PublikationsstatusVeröffentlicht - 14 Nov. 2010

Fingerprint

Untersuchen Sie die Forschungsthemen von „Efficient algorithm for asymptotics-based configuration-interaction methods and electronic structure of transition metal atoms“. Zusammen bilden sie einen einzigartigen Fingerprint.

Dieses zitieren