Atomic approximation to the projection on electronic states in the Douglas-Kroll-Hess approach to the relativistic Kohn-Sham method

Alexei V. Matveev, Notker Rösch

Publikation: Beitrag in FachzeitschriftArtikelBegutachtung

20 Zitate (Scopus)

Abstract

We suggest an approximate relativistic model for economical all-electron calculations on molecular systems that exploits an atomic ansatz for the relativistic projection transformation. With such a choice, the projection transformation matrix is by definition both transferable and independent of the geometry. The formulation is flexible with regard to the level at which the projection transformation is approximated; we employ the free-particle Foldy-Wouthuysen and the second-order Douglas-Kroll-Hess variants. The (atomic) infinite-order decoupling scheme shows little effect on structural parameters in scalar-relativistic calculations; also, the use of a screened nuclear potential in the definition of the projection transformation shows hardly any effect in the context of the present work. Applications to structural and energetic parameters of various systems (diatomics AuH, AuCl, and Au2, two structural isomers of Ir4, and uranyl dication U O2 2+ solvated by 3-6 water ligands) show that the atomic approximation to the conventional second-order Douglas-Kroll-Hess projection (ADKH) transformation yields highly accurate results at substantial computational savings, in particular, when calculating energy derivatives of larger systems. The size-dependence of the intrinsic error of the ADKH method in extended systems of heavy elements is analyzed for the atomization energies of Pdn clusters (n≤116).

OriginalspracheEnglisch
Aufsatznummer244102
FachzeitschriftJournal of Chemical Physics
Jahrgang128
Ausgabenummer24
DOIs
PublikationsstatusVeröffentlicht - 2008

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