Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Real-time equation-of-motion CC cumulant and CC Green’s function simulations of photoemission spectra of water and water dimer

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/5.0099192· OSTI ID:1882953
Newly developed coupled-cluster (CC) methods enable simulations of ionization potentials and spectral functions of molecular systems in a wide range of energy scales ranging from core-binding to valence. This paper discusses the results obtained with the real-time equation-of-motion CC cumulant (RT-EOM-CC) approach and CC Green’s function (CCGF) approaches in applications to the water and water dimer molecules. Here, we compare the ionization potentials obtained with these methods for the valence region with the results obtained with the coupled-cluster with singles, doubles, and perturbative triples formulation as a difference of energies for N and N – 1 electron systems. All methods show good agreement with each other. They also agree well with the experiment with errors usually below 0.1 eV for the ionization potentials. We also analyze unique features of the spectral functions, associated with the position of satellite peaks, obtained with the RT-EOM-CC and CCGF methods employing single and double excitations, as a function of the monomer OH bond length and the proton transfer coordinate in the dimer. Finally, we analyze the impact of the basis set effects on the quality of calculated ionization potentials and find that the basis set effects are less pronounced for the augmented-type sets.
Research Organization:
Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)
Sponsoring Organization:
USDOE; USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division
Grant/Contract Number:
AC02-05CH11231; AC05-76RL01830
OSTI ID:
1882953
Alternate ID(s):
OSTI ID: 1879148
Report Number(s):
PNNL-SA-173143
Journal Information:
Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 4 Vol. 157; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (93)

Investigation of an asymmetric triple-excitation correction for coupled-cluster energies journal January 1998
Left-eigenstate completely renormalized equation-of-motion coupled-cluster methods: Review of key concepts, extension to excited states of open-shell systems, and comparison with electron-attached and ionized approaches journal November 2009
Calculation of properties with the coupled-cluster method journal January 1977
Coupled cluster approach to the single-particle Green's function journal March 1992
Coupled cluster Green's function method: Working equations and applications journal October 1993
Electron propagator theory with the ground state correlated by the coupled-cluster method journal March 1993
Electron Correlation in Small Molecules: Grafting CI onto CC book January 1999
Recursive intermediate factorization and complete computational linearization of the coupled-cluster single, double, triple, and quadruple excitation equations journal January 1991
Segmented contracted basis sets for atoms H through Xe: Sapporo-(DK)-nZP sets (n = D, T, Q) journal February 2012
Variational principles and linked-cluster exp S expansions for static and dynamic many-body problems journal December 1983
Photoelectron spectrum of the water dimer journal March 1982
Towards a full CCSDT model for electron correlation. CCSDT-n models journal February 1987
A new implementation of the full CCSDT model for molecular electronic structure journal November 1988
The equation-of-motion coupled-cluster method: Excitation energies of Be and CO journal December 1989
Non-iterative fifth-order triple and quadruple excitation energy corrections in correlated methods journal February 1990
The equation-of-motion coupled-cluster method. Applications to open- and closed-shell reference states journal May 1993
Bound states of a many-particle system journal June 1958
Short-range correlations in nuclear wave functions journal June 1960
NWChem: A comprehensive and scalable open-source solution for large scale molecular simulations journal September 2010
GFCCLib: Scalable and efficient coupled-cluster Green's function library for accurately tackling many-body electronic structure problems journal August 2021
The water dimer I: Experimental characterization journal July 2015
The water dimer II: Theoretical investigations journal May 2018
A second-order correction to singles and doubles coupled-cluster methods based on a perturbative expansion of a similarity-transformed Hamiltonian journal June 2000
A fifth-order perturbation comparison of electron correlation theories journal May 1989
Many – Body Methods in Chemistry and Physics book January 2009
Real-Time Time-Dependent Electronic Structure Theory journal August 2020
Real-Time Coupled-Cluster Approach for the Cumulant Green’s Function journal October 2020
Real-Time Equation-of-Motion CCSD Cumulant Green’s Function journal February 2022
Linear Absorption Spectra from Explicitly Time-Dependent Equation-of-Motion Coupled-Cluster Theory journal November 2016
Green’s Function Coupled-Cluster Approach: Simulating Photoelectron Spectra for Realistic Molecular Systems journal June 2018
On the Relation between Equation-of-Motion Coupled-Cluster Theory and the GW Approximation journal June 2018
Modern Approaches to Exact Diagonalization and Selected Configuration Interaction with the Adaptive Sampling CI Method journal March 2020
Approximate Green’s Function Coupled Cluster Method Employing Effective Dimension Reduction journal April 2019
Coupled Cluster as an Impurity Solver for Green’s Function Embedding Methods journal September 2019
Short Iterative Lanczos Integration in Time-Dependent Equation-of-Motion Coupled-Cluster Theory journal June 2021
Simulation of Near-Edge X-ray Absorption Fine Structure with Time-Dependent Equation-of-Motion Coupled-Cluster Theory journal June 2017
CCSDTQ Optimized Geometry of Water Dimer journal November 2012
Pathways and Dynamics of Dissociation of Ionized (H2O)2 journal November 1995
Electron Binding Energies of Hydrated H 3 O + and OH - :  Photoelectron Spectroscopy of Aqueous Acid and Base Solutions Combined with Electronic Structure Calculations journal March 2006
Full Valence Band Photoemission from Liquid Water Using EUV Synchrotron Radiation journal April 2004
Tensor Contraction Engine:  Abstraction and Automated Parallel Implementation of Configuration-Interaction, Coupled-Cluster, and Many-Body Perturbation Theories journal November 2003
Vacuum Ultraviolet (VUV) Photoionization of Small Water Clusters journal October 2007
On the prediction of core level binding energies in molecules, surfaces and solids journal January 2018
Second-order perturbation corrections to singles and doubles coupled-cluster methods: General theory and application to the valence optimized doubles model journal September 2000
Perturbative corrections to coupled-cluster and equation-of-motion coupled-cluster energies: A determinantal analysis journal March 2001
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
Coupled-cluster methods including noniterative corrections for quadruple excitations journal August 2005
Approximate treatment of higher excitations in coupled-cluster theory. II. Extension to general single-determinant reference functions and improved approaches for the canonical Hartree–Fock case journal October 2008
A full coupled‐cluster singles and doubles model: The inclusion of disconnected triples journal February 1982
Towards a full CCSDT model for electron correlation journal October 1985
The full CCSDT model for molecular electronic structure journal June 1987
Erratum: The full CCSDT model for molecular electronic structure [J. Chem. Phys. 8 6 , 7041 (1987)] journal September 1988
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
Coupled‐cluster method truncated at quadruples journal November 1991
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
Second order many‐body perturbation approximations to the coupled cluster Green’s function journal January 1995
Perturbative treatment of the similarity transformed Hamiltonian in equation‐of‐motion coupled‐cluster approximations journal July 1995
Ab initio quantum dynamics using coupled-cluster journal May 2012
Symmetric and asymmetric triple excitation corrections for the orbital-optimized coupled-cluster doubles method: Improving upon CCSD(T) and CCSD(T) Λ : Preliminary application journal May 2012
An efficient way to include connected quadruple contributions into the coupled cluster method journal June 1998
Rigorously extensive orbital-invariant renormalized perturbative triples corrections from quasi-variational coupled cluster theory journal February 2013
The method of moments of coupled-cluster equations and the renormalized CCSD[T], CCSD(T), CCSD(TQ), and CCSDT(Q) approaches journal July 2000
Equation of motion coupled cluster methods for electron attachment and ionization potential in fullerenes C 60 and C 70 journal August 2014
Dynamical effects in electron spectroscopy journal November 2015
Coupled cluster Green function: Model involving single and double excitations journal April 2016
Relativistic equation-of-motion coupled-cluster method using open-shell reference wavefunction: Application to ionization potential journal August 2016
Communication: Time-dependent optimized coupled-cluster method for multielectron dynamics journal February 2018
Green’s function coupled cluster formulations utilizing extended inner excitations journal December 2018
Symplectic integration and physical interpretation of time-dependent coupled-cluster theory journal April 2019
Green’s function coupled cluster simulation of the near-valence ionizations of DNA-fragments journal January 2020
Equation of motion coupled-cluster cumulant approach for intrinsic losses in x-ray spectra journal May 2020
NWChem: Past, present, and future journal May 2020
Are multi-quasiparticle interactions important in molecular ionization? journal March 2021
Properties of advanced coupled-cluster Green's function journal July 2017
On correlation effects in electron spectroscopies and the GW approximation journal October 1999
Correlation Problems in Atomic and Molecular Systems. IV. Extended Coupled-Pair Many-Electron Theory and Its Application to the B H 3 Molecule journal January 1972
Relativistic equation-of-motion coupled-cluster method: Application to closed-shell atomic systems journal April 2014
Relativistic equation-of-motion coupled-cluster method for the ionization problem: Application to molecules journal December 2014
Coupled-cluster Green's function: Analysis of properties originating in the exponential parametrization of the ground-state wave function journal December 2016
Singularities in the X-Ray Spectra of Metals journal January 1970
Coupled-cluster impurity solvers for dynamical mean-field theory journal September 2019
Time-dependent approach to the calculation of spectral functions journal December 1978
Cumulant expansion of the retarded one-electron Green function journal August 2014
Real-time cumulant approach for charge-transfer satellites in x-ray photoemission spectra journal March 2015
Spectral functions of the uniform electron gas via coupled-cluster theory and comparison to the G W and related approximations journal June 2016
Particle-hole cumulant approach for inelastic losses in x-ray spectra journal July 2016
Converging High-Level Coupled-Cluster Energetics by Monte Carlo Sampling and Moment Expansions journal November 2017
Coupled Cluster Theory for Molecular Polaritons: Changing Ground and Excited States journal December 2020
Coupled-cluster theory in quantum chemistry journal February 2007
Strengths of plasmon satellites in XPS: Real-time cumulant approach journal December 2021
Equation-of-Motion Coupled-Cluster Cumulant Green’s Function for Excited States and X-Ray Spectra journal September 2021

Figures / Tables (9)