Work

Reconstruction of the On-Top Two-Electron Density from Natural Orbitals and Their Occupation Numbers

Year: 2025
Type: article
Abstract: High Resolution Image Download MS PowerPoint Slide Spatial derivatives of the natural orbitals (NOs) at their nodal surfaces are shown to encode information about the on-top two-electron density Φ 2 ( r⃗ ) in an approximate manner. This encoding, which becomes exact at the limit of an infinite number of nodal surfaces, allows the reconstruction of Φ 2 ( r⃗ ) up to a multiplicative constant that can be retrieved from an identity involving the NO in question and its occupation number. This reconstruction provides a new consistency check for electronic structure formalisms, such as the one-electron reduced density matrix theory, that employ NOs as primary quantities.
Language: English
Open Access status: hybrid
Estimated APC paid: $4,500
OpenAlex ID: W4409262513
FWCI: 0.385
Cites: 26
Cited by: 1
Related to: 10