DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Benchmarking third-order cluster perturbation theory for electronically excited states

Journal Article · · Journal of Chemical Physics
DOI: https://doi.org/10.1063/5.0253976 · OSTI ID:2538158
ORCiD logo [1];  [2]; ORCiD logo [3]; ORCiD logo [1]; ORCiD logo [2]
  1. Univ. of Copenhagen (Denmark)
  2. Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
  3. Univ. of Copenhagen (Denmark); SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States). Photon Ultrafast Laser Science and Engineering Institute (PULSE); Stanford Univ., CA (United States)

In this study, we investigate the reliability of cluster perturbation (CP) theory applied to the calculation of electronically excited states through a comprehensive benchmark. In CP theory, perturbative corrections are added to the properties of a parent excitation space, which converge toward the properties of a target excitation space. For the CPS(D-n) model, perturbative corrections through order n are added to the coupled cluster singles (CCS) excitation energies to target the coupled cluster singles and doubles (CCSD) excitation energies. Through a comparative analysis of excitation energy calculations across a diverse set of molecules and wavefunction methods, we present a comprehensive evaluation of the accuracy of the third-order CPS(D) model, CPS(D-3), in calculating excitation energies. Further, our findings demonstrate that CPS(D-3) is a reliable alternative to established methods, particularly CCSD, while systematically overestimating the excitation energies compared to high-level coupled cluster methods such as CC3. These results highlight the strengths and limitations of CPS(D-3), as well as the promising directions for its future development.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
2538158
Journal Information:
Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 9 Vol. 162; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (38)

Organometallic materials for nonlinear optics journal September 1991
The Dalton quantum chemistry program system: The Dalton program
  • Aidas, Kestutis; Angeli, Celestino; Bak, Keld L.
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 4, Issue 3 https://doi.org/10.1002/wcms.1172
journal September 2013
The algebraic diagrammatic construction scheme for the polarization propagator for the calculation of excited states journal September 2014
QUESTDB : A database of highly accurate excitation energies for the electronic structure community journal February 2021
Organometallic catalysis under visible light activation: benefits and preliminary rationales journal February 2022
The equation-of-motion coupled-cluster method: Excitation energies of Be and CO journal December 1989
A doubles correction to electronic excited states from configuration interaction in the space of single substitutions journal March 1994
The second-order approximate coupled cluster singles and doubles model CC2 journal September 1995
The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices journal January 1975
Statistical Methods for Assessing Agreement Between two Methods of Clinical Measurement journal February 1986
A Mountaineering Strategy to Excited States: Highly Accurate Energies and Benchmarks for Medium Sized Molecules journal January 2020
Excitation Energies from the Single-Particle Green’s Function with the GW Approximation journal March 2019
The Quest for Highly Accurate Excitation Energies: A Computational Perspective journal March 2020
Luminescence properties of organometallic complexes journal August 1987
SciPy 1.0: fundamental algorithms for scientific computing in Python journal February 2020
Efficient use of the correlation consistent basis sets in resolution of the identity MP2 calculations journal February 2002
Electron excitation energies using a consistent third-order propagator approach: Comparison with full configuration interaction and coupled cluster results journal October 2002
On the Correlation Problem in Atomic and Molecular Systems. Calculation of Wavefunction Components in Ursell‐Type Expansion Using Quantum‐Field Theoretical Methods journal December 1966
Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen journal January 1989
Coupled cluster response functions journal September 1990
The coupled‐cluster single, double, and triple excitation model for open‐shell single reference functions journal October 1990
Electron affinities of the first‐row atoms revisited. Systematic basis sets and wave functions journal May 1992
The equation of motion coupled‐cluster method. A systematic biorthogonal approach to molecular excitation energies, transition probabilities, and excited state properties journal May 1993
Perturbative triple excitation corrections to coupled cluster singles and doubles excitation energies journal July 1996
The CC3 model: An iterative coupled cluster approach including connected triples journal February 1997
Cluster perturbation theory. I. Theoretical foundation for a coupled cluster target state and ground-state energies journal April 2019
Cluster perturbation theory. III. Perturbation series for coupled cluster singles and doubles excitation energies journal April 2019
Cluster perturbation theory. II. Excitation energies for a coupled cluster target state journal April 2019
Cluster perturbation theory. IV. Convergence of cluster perturbation series for energies and molecular properties journal April 2019
Cluster perturbation theory. VII. The convergence of cluster perturbation expansions journal July 2022
Cluster perturbation theory. VIII. First order properties for a coupled cluster state
  • Hillers-Bendtsen, Andreas Erbs; Høyer, Nicolai Machholdt; Kjeldal, Frederik Ørsted
  • The Journal of Chemical Physics, Vol. 157, Issue 2 https://doi.org/10.1063/5.0082585
journal July 2022
Massively parallel GPU enabled third-order cluster perturbation excitation energies for cost-effective large scale excitation energy calculations journal April 2023
Note on an Approximation Treatment for Many-Electron Systems journal October 1934
Beyond the random-phase approximation: A new approximation scheme for the polarization propagator journal November 1982
A variational reformulation of molecular properties in electronic-structure theory journal April 2024
Electron Spectroscopy for Atoms, Molecules, and Condensed Matter journal July 1982
Force Potentials in Quantum Field Theory journal April 1951
Coupled cluster theory on modern heterogeneous supercomputers journal June 2023