2010
DOI: 10.1063/1.3497190
|View full text |Cite
|
Sign up to set email alerts
|

Spin-state splittings, highest-occupied-molecular-orbital and lowest-unoccupied-molecular-orbital energies, and chemical hardness

Abstract: It is known that the exact density functional must give ground-state energies that are piecewise linear as a function of electron number. In this work we prove that this is also true for the lowest-energy excited states of different spin or spatial symmetry. This has three important consequences for chemical applications: the ground state of a molecule must correspond to the state with the maximum highest-occupied-molecular-orbital energy, minimum lowest-unoccupiedmolecular-orbital energy, and maximum chemical… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1

Citation Types

0
2
0

Year Published

2011
2011
2023
2023

Publication Types

Select...
7

Relationship

0
7

Authors

Journals

citations
Cited by 14 publications
(2 citation statements)
references
References 45 publications
0
2
0
Order By: Relevance
“…Now, in all our calculations with crystals, and we made many, we never found an instance when the self-energy of the electron in the conduction band had any importance in Eq. (12). The valence band is usually made of the valence state of the anion, while the conduction band is usually a mixture of many atomic states, there included the valence state of the cation.…”
Section: Extended Systems: Band Gaps In Crystalsmentioning
confidence: 99%
“…Now, in all our calculations with crystals, and we made many, we never found an instance when the self-energy of the electron in the conduction band had any importance in Eq. (12). The valence band is usually made of the valence state of the anion, while the conduction band is usually a mixture of many atomic states, there included the valence state of the cation.…”
Section: Extended Systems: Band Gaps In Crystalsmentioning
confidence: 99%
“…The electronic properties of the selected four hits were analyzed using DFT analysis. The chemical stability of the selected hits was studied by calculating the energy gap between the E HOMO and E LUMO ( Johnson et al, 2010 ). HOMO and LUMO orbitals play a key role in charge transfer between orbitals during a chemical reaction ( Ahmed et al, 2021 ).…”
Section: Resultsmentioning
confidence: 99%