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

Title: Implementation of Relativistic Coupled Cluster Theory for Massively Parallel GPU-Accelerated Computing Architectures

Journal Article · · Journal of Chemical Theory and Computation

In this paper, we report reimplementation of the core algorithms of relativistic coupled cluster theory aimed at modern heterogeneous high-performance computational infrastructures. The code is designed for parallel execution on many compute nodes with optional GPU coprocessing, accomplished via the new ExaTENSOR back end. The resulting ExaCorr module is primarily intended for calculations of molecules with one or more heavy elements, as relativistic effects on the electronic structure are included from the outset. In the current work, we thereby focus on exact two-component methods and demonstrate the accuracy and performance of the software. The module can be used as a stand-alone program requiring a set of molecular orbital coefficients as the starting point, but it is also interfaced to the DIRAC program that can be used to generate these. We therefore also briefly discuss an improvement of the parallel computing aspects of the relativistic self-consistent field algorithm of the DIRAC program.

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), Basic Energy Sciences (BES). Scientific User Facilities (SUF)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
2469832
Journal Information:
Journal of Chemical Theory and Computation, Journal Name: Journal of Chemical Theory and Computation Journal Issue: 9 Vol. 17; ISSN 1549-9618
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (90)

The Nature of Bonding between Argon and Mixed Gold–Silver Trimers journal July 2015
Analysis of electric field gradient tensors at quadrupolar nuclei in common structural motifs journal March 2010
Parallelization of four‐component calculations. II. Symmetry‐driven parallelization of the 4‐Spinor CCSD algorithm journal March 2003
QM/MM study of aqueous solvation of the uranyl fluoride [UO2F42?] complex journal January 2003
Noble‐Noble Strong Union: Gold at Its Best to Make a Bond with a Noble Gas Atom journal January 2019
Domain‐specific virtual processors as a portable programming and execution model for parallel computational workloads on modern heterogeneous high‐performance computing architectures journal March 2019
Simplifications in the generation and transformation of two-electron integrals in molecular calculations journal October 1977
Kramers-restricted closed-shellCCSD theory journal February 1995
Coupled-cluster theory and its equation-of-motion extensions: Coupled-cluster theory journal July 2011
Dirac–Fock Atomic Electronic Structure Calculations Using Different Nuclear Charge Distributions journal November 1997
Thermochemical Properties (D°0and IP) of the Lanthanide Monohalides journal February 1999
The (1)1Π, (2)1Σ+ → X1Σ+ Transitions of LaF journal July 2000
Electronic spectra of diatomic molecules containing f-elements: GdO, EuF and UO journal February 1987
Relativistic Quadruple-Zeta and Revised Triple-Zeta and Double-Zeta Basis Sets for the 4p, 5p, and 6p Elements journal March 2006
Relativistic double-zeta, triple-zeta, and quadruple-zeta basis sets for the actinides Ac–Lr journal October 2006
Density fitting with auxiliary basis sets from Cholesky decompositions journal July 2009
Relativistic double-zeta, triple-zeta, and quadruple-zeta basis sets for the lanthanides La–Lu journal January 2010
Relativistic segmented contraction basis sets with core-valence correlation effects for atoms 57La through 71Lu: Sapporo-DK-nZP sets (n = D, T, Q) journal June 2012
Theoretical study on the structure and reactions of uranium fluorides journal July 2018
Variational principles and linked-cluster exp S expansions for static and dynamic many-body problems journal December 1983
Convergence acceleration of iterative sequences. the case of scf iteration journal July 1980
Elimination of energy denominators in Møller—Plesset perturbation theory by a Laplace transform approach journal June 1991
Integral approximations for LCAO-SCF calculations journal October 1993
Perturbative corrections to account for triple excitations in closed and open shell coupled cluster theories journal September 1994
Construction of the hamiltonian matrix in large configuration interaction calculations journal March 1973
Mass spectrometric studies at high temperatures—XIII journal January 1967
Metal-neon compound ions in slow field evaporation journal February 1977
A fifth-order perturbation comparison of electron correlation theories journal May 1989
Structure and frequency shift calculations for small UF6 clusters journal June 1997
On the bonding and the electric field gradient of the uranyl ion journal January 1998
Relativistic Cholesky-decomposed density matrix MP2 journal February 2019
Low-rank factorization of electron integral tensors and its application in electronic structure theory journal March 2017
Strengthening gold–gold bonds by complexing gold clusters with noble gases journal May 2015
Theoretical study of UX6 and UO2X2 (X=F, Cl, Br, I) journal September 2004
Many-Body Quantum Chemistry on Massively Parallel Computers journal December 2020
Accurate Predictions of Volatile Plutonium Thermodynamic Properties journal October 2019
Low-Order Scaling G 0 W 0 by Pair Atomic Density Fitting journal November 2020
Acceleration of Relativistic Electron Dynamics by Means of X2C Transformation: Application to the Calculation of Nonlinear Optical Properties journal November 2016
Efficacy of Density Functionals and Relativistic Effective Core Potentials for Lanthanide-Containing Species: The Ln54 Molecule Set journal May 2017
Toward Chemical Accuracy in ab Initio Thermochemistry and Spectroscopy of Lanthanide Compounds: Assessing Core–Valence Correlation, Second-Order Spin–Orbit Coupling, and Higher Order Effects in Lanthanide Diatomics journal October 2017
Highly Efficient and Scalable Compound Decomposition of Two-Electron Integral Tensor and Its Application in Coupled Cluster Calculations journal August 2017
Hyperfine Structure Constants on the Relativistic Coupled Cluster Level with Associated Uncertainties journal March 2020
Not Completely Innocent: How Argon Binding Perturbs Cationic Copper Clusters journal October 2020
Computing the Anharmonic Vibrational Spectrum of UF6 in 15 Dimensions with an Optimized Basis Set and Rectangular Collocation journal August 2015
Multireference Nature of Chemistry: The Coupled-Cluster View journal December 2011
Two-Component Relativistic Calculations of Electric-Field Gradients Using Exact Decoupling Methods: Spin–orbit and Picture-Change Effects journal September 2012
Predicted Chemical Bonds between Rare Gases and Au+ journal February 1995
A Relativistic Density Functional Study on the Uranium Hexafluoride and Plutonium Hexafluoride Monomer and Dimer Species journal November 1998
Binding of Noble Metal Clusters with Rare Gas Atoms: Theoretical Investigation journal December 2012
Does a Molecule-Specific Density Functional Give an Accurate Electron Density? The Challenging Case of the CuCl Electric Field Gradient journal February 2012
Methods for computational chemistry journal December 2013
The structures of cationic gold clusters probed by far-infrared spectroscopy journal January 2020
Electronic spectroscopy of UO22+, NUO+ and NUN: an evaluation of time-dependent density functional theory for actinides journal January 2011
Towards systematically improvable models for actinides in condensed phase: the electronic spectrum of uranyl in Cs2UO2Cl4 as a test case journal January 2013
The accurate determination of molecular equilibrium structures journal April 2001
Fourier transform microwave spectroscopy of the 2Σ+ ground states of YbX (X=F, Cl, Br): Characterization of hyperfine effects and determination of the molecular geometries journal October 2001
The nuclear quadrupole moment of 115In from molecular data journal August 2002
Electron‐Diffraction Investigation of the Hexafluorides of Tungsten, Osmium, Iridium, Uranium, Neptunium, and Plutonium journal May 1968
Coulombic potential energy integrals and approximations journal May 1973
Density functional investigations of the properties and thermochemistry of UF6 and UF5 using valence-electron and all-electron approaches journal August 2004
The accuracy of ab initio molecular geometries for systems containing second-row atoms journal November 2005
An infinite-order two-component relativistic Hamiltonian by a simple one-step transformation journal February 2007
A fully relativistic method for calculation of nuclear magnetic shielding tensors with a restricted magnetically balanced basis in the framework of the matrix Dirac–Kohn–Sham equation journal March 2008
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
The molecular mean-field approach for correlated relativistic calculations journal September 2009
Fully relativistic calculations of NMR shielding tensors using restricted magnetically balanced basis and gauge including atomic orbitals journal April 2010
Kinetic balance: A partial solution to the problem of variational safety in Dirac calculations journal August 1984
Efficient recursive computation of molecular integrals over Cartesian Gaussian functions journal April 1986
Ab initio all‐electron Dirac–Fock–Breit calculations for UF6 journal January 1996
Formulation and implementation of a relativistic unrestricted coupled‐cluster method including noniterative connected triples journal November 1996
Calculations of structure and IR-spectrum for small UF6 clusters journal April 1997
Geometry optimizations in the zero order regular approximation for relativistic effects journal May 1999
Quaternion symmetry in relativistic molecular calculations: The Dirac–Hartree–Fock method journal October 1999
Analytic one-electron properties at the 4-component relativistic coupled cluster level with inclusion of spin-orbit coupling journal November 2016
Equation-of-motion coupled-cluster theory based on the 4-component Dirac–Coulomb(–Gaunt) Hamiltonian. Energies for single electron detachment, attachment, and electronically excited states journal November 2018
The DIRAC code for relativistic molecular calculations journal May 2020
ReSpect: Relativistic spectroscopy DFT program package journal May 2020
The uranyl ion revisited: the electric field gradient at U as a probe of environmental effects journal March 2005
Relativistic coupled-cluster calculations of the 173 Yb nuclear quadrupole coupling constant for the YbF molecule journal February 2016
An efficient solver for large structured eigenvalue problems in relativistic quantum chemistry journal March 2016
Relativistic coupled cluster calculation of Mössbauer isomer shifts of iodine compounds journal June 2016
Dynamic polarizabilities and related properties of clock states of the ytterbium atom journal March 2010
Relativistic calculations of magnetic resonance parameters: background and some recent developments journal March 2014
Enhancement factor for the electric dipole moment of the electron in the BaOH and YbOH molecules journal April 2019
Mössbauer studies of electric hyperfine interactions in U 234 , U 236 , U 238 journal April 1974
All-electron fully relativistic Kohn-Sham theory for solids based on the Dirac-Coulomb Hamiltonian and Gaussian-type functions journal May 2019
Exact Tensor Hypercontraction: A Universal Technique for the Resolution of Matrix Elements of Local Finite-Range N -Body Potentials in Many-Body Quantum Problems journal September 2013
Generalized Gradient Approximation Made Simple journal October 1996
The crystal structure of rubidium uranyl nitrate: A neutron-diffraction study journal August 1965
Dataset: Implementation of relativistic coupled cluster theory for massively parallel GPU-accelerated computing architectures dataset January 2021