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Complete-active-space extended Koopmans theorem method

delete2021-08-05
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OA
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E
Ernest R. Davidson
J
J. V. Ortiz
V
Viktor N. Staroverov *
DOI:10.1063/5.0058080delete
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Abstract

Abstract

En 中文
The complete-active-space (CAS) extended Koopmans theorem (EKT) method is defined as a special case of the EKT in which the reference state is a CAS configuration interaction (CI) expansion and the electron removal operator acts only on the active orbitals. With these restrictions, the EKT is equivalent to the CI procedure involving all hole-state configurations derived from the active space of the reference wavefunction and has properties analogous to those of the original Koopmans theorem. The equivalence is used to demonstrate in a transparent manner that the first ionization energy predicted by the EKT is not exact, in general, i.e., not equal to the difference between the full CI energies of the neutral and the ion, but can approach the full CI result with arbitrary precision even within a finite basis set. The findings also reconcile various statements about the EKT found in the literature. Published under an exclusive license by AIP Publishing.
Keywords:
OF-MOTION METHOD
IONIZATION-POTENTIALS
NATURAL ORBITALS
DENSITY-MATRICES
WAVE-FUNCTIONS
EXACTNESS
ENERGIES
EXTENSION
VALIDITY
BEHAVIOR
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Journal

Journal of Chemical Physics cover
Journal of Chemical Physics
IF:
3.1
Papers:
7.2W
Citations:
23.2W

Organization

U
University of Washington
Scholars:
8.0W
Papers: 7.0W
Citations: 12.5W
A
auburn university system
Scholars:
1.1W
Papers: 9.5K
Citations: 9