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Title: A local framework for calculating coupled cluster singles and doubles excitation energies (LoFEx-CCSD)

Journal Article · · Molecular Physics
 [1];  [1];  [2];  [1];  [1]
  1. Aarhus Univ., Aarhus (Denmark)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Here, the recently developed Local Framework for calculating Excitation energies (LoFEx) is extended to the coupled cluster singles and doubles (CCSD) model. In the new scheme, a standard CCSD excitation energy calculation is carried out within a reduced excitation orbital space (XOS), which is composed of localised molecular orbitals and natural transition orbitals determined from time-dependent Hartree–Fock theory. The presented algorithm uses a series of reduced second-order approximate coupled cluster singles and doubles (CC2) calculations to optimise the XOS in a black-box manner. This ensures that the requested CCSD excitation energies have been determined to a predefined accuracy compared to a conventional CCSD calculation. We present numerical LoFEx-CCSD results for a set of medium-sized organic molecules, which illustrate the black-box nature of the approach and the computational savings obtained for transitions that are local compared to the size of the molecule. In fact, for such local transitions, the LoFEx-CCSD scheme can be applied to molecular systems where a conventional CCSD implementation is intractable.

Research Organization:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1345012
Journal Information:
Molecular Physics, Vol. 115, Issue 17-18; ISSN 0026-8976
Publisher:
Taylor & FrancisCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 16 works
Citation information provided by
Web of Science

References (55)

Equation-of-Motion Coupled-Cluster Methods for Open-Shell and Electronically Excited Species: The Hitchhiker's Guide to Fock Space journal May 2008
New coupled-cluster methods with singles, doubles, and noniterative triples for high accuracy calculations of excited electronic states journal January 2004
Local treatment of electron excitations in the EOM-CCSD method journal February 2003
A linear response, coupled-cluster theory for excitation energy journal March 1984
An incremental correlation approach to excited state energies based on natural transition/localized orbitals journal January 2011
Excitation energies from the coupled cluster singles and doubles linear response function (CCSDLR). Applications to Be, CH + , CO, and H 2 O journal September 1990
Coupled cluster response functions journal September 1990
Molecular Electronic-Structure Theory book August 2000
The ORCA program system: The ORCA program system journal June 2011
Perturbative triple excitation corrections to coupled cluster singles and doubles excitation energies journal July 1996
A pair natural orbital implementation of the coupled cluster model CC2 for excitation energies journal August 2013
Local CC2 electronic excitation energies for large molecules with density fitting journal September 2006
Many – Body Methods in Chemistry and Physics book January 2009
A full coupled‐cluster singles and doubles model: The inclusion of disconnected triples journal February 1982
The multilevel CC3 coupled cluster model journal July 2016
Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen journal January 1989
The extended CC2 model ECC2 journal May 2013
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
Electron affinities of the first‐row atoms revisited. Systematic basis sets and wave functions journal May 1992
Recent Advances in Wave Function-Based Methods of Molecular-Property Calculations journal December 2011
A fifth-order perturbation comparison of electron correlation theories journal May 1989
The equation of motion coupled‐cluster method. A systematic biorthogonal approach to molecular excitation energies, transition probabilities, and excited state properties journal May 1993
Linear and nonlinear response functions for an exact state and for an MCSCF state journal April 1985
Large‐scale calculations of excitation energies in coupled cluster theory: The singlet excited states of benzene journal October 1996
Orthogonally spin‐adapted single‐reference coupled‐cluster formalism: Linear response calculation of higher‐order static properties journal June 1996
CC2 excitation energy calculations on large molecules using the resolution of the identity approximation journal January 2000
Response functions from Fourier component variational perturbation theory applied to a time-averaged quasienergy journal January 1998
An efficient algorithm for solving nonlinear equations with a minimal number of trial vectors: Applications to atomic-orbital based coupled-cluster theory journal May 2008
LoFEx — A local framework for calculating excitation energies: Illustrations using RI-CC2 linear response theory journal June 2016
Simplified methods for equation-of-motion coupled-cluster excited state calculations journal January 1996
Insights into Current Limitations of Density Functional Theory journal August 2008
Natural transition orbitals journal March 2003
Convergence acceleration of iterative sequences. the case of scf iteration journal July 1980
Turbomole
  • Furche, Filipp; Ahlrichs, Reinhart; Hättig, Christof
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 4, Issue 2 https://doi.org/10.1002/wcms.1162
journal July 2013
Transition moments and excited-state first-order properties in the coupled-cluster model CC2 using the resolution-of-the-identity approximation journal October 2002
Local configuration interaction: An efficient approach for larger molecules journal January 1985
Towards a pair natural orbital coupled cluster method for excited states journal July 2016
Localizability of dynamic electron correlation journal September 1983
Multi-level coupled cluster theory journal December 2014
Perturbative treatment of the similarity transformed Hamiltonian in equation‐of‐motion coupled‐cluster approximations journal July 1995
A multistate local coupled cluster CC2 response method based on the Laplace transform journal September 2009
Local pair natural orbitals for excited states journal December 2011
Failure of Time-Dependent Density Functional Theory for Long-Range Charge-Transfer Excited States:  The Zincbacteriochlorin−Bacteriochlorin and Bacteriochlorophyll−Spheroidene Complexes journal March 2004
Calculation of properties with the coupled-cluster method journal January 1977
Characterization and Generation of Local Occupied and Virtual Hartree–Fock Orbitals journal February 2016
Iterative and non-iterative triple excitation corrections in coupled-cluster methods for excited electronic states: the EOM-CCSDT-3 and EOM-CCSD(T̃) methods journal August 1996
Local orbitals by minimizing powers of the orbital variance journal May 2011
Discarding Information from Previous Iterations in an Optimal Way To Solve the Coupled Cluster Amplitude Equations journal March 2015
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
Response functions in the CC3 iterative triple excitation model journal November 1995
Note on an Approximation Treatment for Many-Electron Systems journal October 1934
The second-order approximate coupled cluster singles and doubles model CC2 journal September 1995
An extension of the coupled cluster formalism to excited states journal January 1981
The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices journal January 1975
Transition matrices and orbitals from reduced density matrix theory journal June 2015

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