Valence and Rydberg excited state bond dissociation curves of CO2 from orbital-optimized density functional calculations

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Hauptverfasser: Barreiro-Lage, Darío, Levi, Gianluca, Jonssón, Hannes, Lamberts, Thanja
Format: Preprint
Veröffentlicht: 2026
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author Barreiro-Lage, Darío
Levi, Gianluca
Jonssón, Hannes
Lamberts, Thanja
author_facet Barreiro-Lage, Darío
Levi, Gianluca
Jonssón, Hannes
Lamberts, Thanja
contents Calculations of the lowest valence π* as well as the 3s and higher energy 3pσ Rydberg excited states of the CO2 molecule are carried out using density functionals with variational optimization of the orbitals, an approach involving relatively little computational effort. Five functionals with varying degree of exchange are used in combination with real or complex-valued orbitals that are optimized by finding saddle points on the electronic energy surface corresponding to the excited states. When the PBE functional is used in combination with complex orbitals, the calculated excitation energy is found to be within 0.3 eV of multireference configuration interaction reference values, and the results are further improved with hybrid functionals. In contrast, linear-response time-dependent density functional theory calculations give errors up to 1.9 eV for the most diffuse 3pσ excitation and exhibit stronger dependence on both the excitation character and the functional used. Calculated C-O dissociation curves using the PBE functional and the orbital-optimized approach compare remarkably well with the reported multireference configuration interaction and equation-of-motion coupled-cluster singles and doubles calculations. Thanks to the low computational cost, these results demonstrate that orbital-optimized density functional calculations can be a promising route for modelling photorelaxation in condensed-phase CO2, for example in the context of interstellar cosmic-ray radiation driven process involving high-energy Rydberg states.
format Preprint
id arxiv_https___arxiv_org_abs_2604_05802
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Valence and Rydberg excited state bond dissociation curves of CO2 from orbital-optimized density functional calculations
Barreiro-Lage, Darío
Levi, Gianluca
Jonssón, Hannes
Lamberts, Thanja
Chemical Physics
Astrophysics of Galaxies
Calculations of the lowest valence π* as well as the 3s and higher energy 3pσ Rydberg excited states of the CO2 molecule are carried out using density functionals with variational optimization of the orbitals, an approach involving relatively little computational effort. Five functionals with varying degree of exchange are used in combination with real or complex-valued orbitals that are optimized by finding saddle points on the electronic energy surface corresponding to the excited states. When the PBE functional is used in combination with complex orbitals, the calculated excitation energy is found to be within 0.3 eV of multireference configuration interaction reference values, and the results are further improved with hybrid functionals. In contrast, linear-response time-dependent density functional theory calculations give errors up to 1.9 eV for the most diffuse 3pσ excitation and exhibit stronger dependence on both the excitation character and the functional used. Calculated C-O dissociation curves using the PBE functional and the orbital-optimized approach compare remarkably well with the reported multireference configuration interaction and equation-of-motion coupled-cluster singles and doubles calculations. Thanks to the low computational cost, these results demonstrate that orbital-optimized density functional calculations can be a promising route for modelling photorelaxation in condensed-phase CO2, for example in the context of interstellar cosmic-ray radiation driven process involving high-energy Rydberg states.
title Valence and Rydberg excited state bond dissociation curves of CO2 from orbital-optimized density functional calculations
topic Chemical Physics
Astrophysics of Galaxies
url https://arxiv.org/abs/2604.05802