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Title: The Generality of the GUGA MRCI Approach in COLUMBUS for Treating Complex Quantum Chemistry

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.5144267· OSTI ID:1609130

The core part of the program system COLUMBUS allows highly efficient calculations using variational multireference (MR) methods in the framework of configuration interaction with single and double excitations (MR-CISD) and averaged quadratic coupled-cluster calculations (MR-AQCC), based on uncontracted sets of configurations and the graphical unitary group approach (GUGA). The availability of analytic MR-CISD and MR-AQCC energy gradients and analytic nonadiabatic couplings for MR-CISD enables exciting applications including, e.g., investigations of π-conjugated biradicaloid compounds, calculations of multitudes of excited states, development of diabatization procedures, and furnishing the electronic structure information for on-the-fly surface nonadiabatic dynamics. With fully variational uncontracted spin-orbit MRCI, COLUMBUS provides a unique possibility of performing high-level calculations on compounds containing heavy atoms up to lanthanides and actinides. Crucial for carrying out all of these calculations effectively is the availability of an efficient parallel code for the CI step. Configuration spaces of several billion in size now can be treated quite routinely on standard parallel computer clusters. Emerging developments in COLUMBUS, including the all configuration mean energy multiconfiguration self-consistent field method and the graphically contracted function method, promise to allow practically unlimited configuration space dimensions. Spin density based on the GUGA approach, analytic spin-orbit energy gradients, possibilities for local electron correlation MR calculations, development of general interfaces for nonadiabatic dynamics, and MRCI linear vibronic coupling models conclude this overview.

Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); National Science Foundation (NSF)
DOE Contract Number:
AC02-06CH11357
OSTI ID:
1609130
Journal Information:
Journal of Chemical Physics, Vol. 152
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English

References (189)

Multi-state Multireference Rayleigh–Schrödinger Perturbation Theory for Mixed Electronic States: Second and Third Order journal June 2002
The origin of the two-electron/four-centers CC bond in π-TCNE22− dimers: Electrostatic or dispersion? journal January 2006
Resonating Valence-Bond Ground State in a Phenalenyl-Based Neutral Radical Conductor journal July 2005
Some aspects of diagrammatic perturbation theory journal January 1975
Dibenzoheptazethrene Isomers with Different Biradical Characters: An Exercise of Clar’s Aromatic Sextet Rule in Singlet Biradicaloids journal November 2013
Spin−Orbit Configuration Interaction Using the Graphical Unitary Group Approach and Relativistic Core Potential and Spin−Orbit Operators journal July 1999
Photochemistry of CH 3 Cl: Dissociation and CH···Cl Hydrogen Bond Formation journal December 2015
Correction to “Analysis of Electronic States and Energy Level Structure of Uranyl in Compounds” journal June 2012
Long, Multicenter Bonding-A New Concept for Supramolecular Materials journal June 2015
On the elimination of the electronic structure bottleneck in on the fly nonadiabatic dynamics for small to moderate sized (10-15 atom) molecules using fit diabatic representations based solely on ab initio electronic structure data: The photodissociation of phenol journal January 2016
Ultrafast Relaxation Dynamics of Uracil Probed via Strong Field Dissociative Ionization journal November 2013
Stable Hexacenes through Nitrogen Substitution journal August 2011
Direct configuration interaction with a reference state composed of many reference configurations journal November 1980
Vacuum-UV negative photoion spectroscopy of gas-phase polyatomic molecules journal April 2011
A Multireference Ab Initio Study of the Diradical Isomers of Pyrazine journal February 2019
Nonadiabatic dynamics: The SHARC approach
  • Mai, Sebastian; Marquetand, Philipp; González, Leticia
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 8, Issue 6 https://doi.org/10.1002/wcms.1370
journal May 2018
Four-Center Carbon−Carbon Bonding journal March 2007
Diradicals journal July 2013
Perspective: Nonadiabatic dynamics theory journal December 2012
Advances, Applications and Performance of the Global Arrays Shared Memory Programming Toolkit journal May 2006
Computational determination of the à state absorption spectrum of NH 3 and of ND 3 using a new quasi-diabatic representation of the X̃ and à states and full six-dimensional quantum dynamics journal June 2012
Gaussian basis sets for use in correlated molecular calculations. III. The atoms aluminum through argon journal January 1993
[MeNC5H5]2[TCNE]2 (TCNE = tetracyanoethylene). Single crystal X-ray and neutron diffraction characterization of an exceptionally long 2.8 Å C–C bond journal January 2009
Metals and Superconductors: Molecular Analogs of Atomic Hydrogen journal August 2012
Bond Dissociation Energies of C 10 and C 18 Methyl Esters from Local Multireference Averaged-Coupled Pair Functional Theory journal March 2015
Interplay between Aromaticity and Radicaloid Character in Nitrogen-Doped Oligoacenes Revealed by High-Level Multireference Methods journal November 2018
Local correlation in the virtual space in multireference singles and doubles configuration interaction journal May 2003
Configuration interaction calculations on the nitrogen molecule journal January 1974
Soluble and Stable Heptazethrenebis(dicarboximide) with a Singlet Open-Shell Ground State journal August 2011
Spectrum simulation and decomposition with nuclear ensemble: formal derivation and application to benzene, furan and 2-phenylfuran journal June 2012
The V state of ethylene: valence bond theory takes up the challenge journal January 2014
What is the nature of the long bond in the TCNE 2 2− π-dimer? journal January 2004
An efficient method for the evaluation of coupling coefficients in configuration interaction calculations journal April 1988
All-electron and relativistic pseudopotential studies for the group 1 element polarizabilities from K to element 119 journal March 2005
Multireference averaged quadratic coupled-cluster (MR-AQCC) method based on the functional of the total energy journal June 2008
Apparent giant conductivity peaks in an anisotropic medium: TTF-TCNQ journal February 1974
An Explanation for Symmetry-Induced Isotopic Fractionation in Ozone journal November 1996
Aromaticity on the Pancake-Bonded Dimer of Neutral Phenalenyl Radical as Studied by MS and NMR Spectroscopies and NICS Analysis journal March 2006
Multi-reference weak pairs local configuration interaction: efficient calculations of bond breaking journal September 2001
New analytical model for the ozone electronic ground state potential surface and accurate ab initio vibrational predictions at high energy range journal October 2013
BEYOND BORN-OPPENHEIMER: Molecular Dynamics Through a Conical Intersection journal June 2004
The accuracy of molecular bond lengths computed by multireference electronic structure methods journal June 2008
On the optimization of Gaussian basis sets journal January 2003
Recent Advances and Perspectives on Nonadiabatic Mixed Quantum–Classical Dynamics journal April 2018
SHARC: ab Initio Molecular Dynamics with Surface Hopping in the Adiabatic Representation Including Arbitrary Couplings journal March 2011
Molcas 8: New capabilities for multiconfigurational quantum chemical calculations across the periodic table : Molcas 8 journal November 2015
On the representation of coupled adiabatic potential energy surfaces using quasi-diabatic Hamiltonians: A distributed origins expansion approach journal May 2012
Newton-X: a surface-hopping program for nonadiabatic molecular dynamics: Newton-X
  • Barbatti, Mario; Ruckenbauer, Matthias; Plasser, Felix
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 4, Issue 1 https://doi.org/10.1002/wcms.1158
journal June 2013
Representation of coupled adiabatic potential energy surfaces using neural network based quasi-diabatic Hamiltonians: 1,2 2 A′ states of LiFH journal January 2019
An extended multireference study of the electronic states of para -benzyne journal July 2008
The evaluation of spin-density matrices within the graphically contracted function method journal December 2009
Communication: An accurate global potential energy surface for the ground electronic state of ozone journal November 2013
p-Benzyne. Generation as an intermediate in a thermal isomerization reaction and trapping evidence for the 1,4-benzenediyl structure journal January 1972
Rotational Barrier in Phenalenyl Neutral Radical Dimer: Separating Pancake and van der Waals Interactions journal April 2014
High-level multireference methods in the quantum-chemistry program system COLUMBUS: Analytic MR-CISD and MR-AQCC gradients and MR-AQCC-LRT for excited states, GUGA spin–orbit CI and parallel CI density journal January 2001
Analytic evaluation of nonadiabatic coupling terms at the MR-CI level. II. Minima on the crossing seam: Formaldehyde and the photodimerization of ethylene journal April 2004
The ethylene 1 1B1u V state revisited journal April 1999
Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen journal January 1989
On-the-fly dynamics simulations of transient anions journal December 2019
A parallel implementation of the COLUMBUS multireference configuration interaction program journal February 1993
A progress report on the status of the COLUMBUSMRCI program system journal March 1988
Study of the Diradicaloid Character in a Prototypical Pancake-Bonded Dimer: The Stacked Tetracyanoethylene (TCNE) Anion Dimer and the Neutral K 2 TCNE 2 Complex journal November 2013
The on-the-fly surface-hopping program system Newton-X: Application to ab initio simulation of the nonadiabatic photodynamics of benchmark systems journal August 2007
Valence basis sets for relativistic energy-consistent small-core lanthanide pseudopotentials journal October 2001
The averaged coupled-pair functional (ACPF): A size-extensive modification of MR CI(SD) journal January 1988
Are ab initio quantum chemistry methods able to predict vibrational states up to the dissociation limit for multi-electron molecules close to spectroscopic accuracy? journal January 2011
In Control of Motion:  From Molecular Switches to Molecular Motors journal June 2001
Ultrafast Deactivation of the ππ*( V ) State of Ethylene Studied Using Sub-20 fs Time-Resolved Photoelectron Imaging journal August 2015
Machine learning enables long time scale molecular photodynamics simulations journal January 2019
Does the “Reef Structure” at the Ozone Transition State towards the Dissociation Exist? New Insight from Calculations and Ultrasensitive Spectroscopy Experiments journal October 2014
The Complete Active Space Self-Consistent Field Method and its Applications in Electronic Structure Calculations book January 1987
Strong-field- versus weak-field-ionization pump-probe spectroscopy journal November 2018
Intermolecular π-to-π Bonding between Stacked Aromatic Dyads. Experimental and Theoretical Binding Energies and Near-IR Optical Transitions for Phenalenyl Radical/Radical versus Radical/Cation Dimerizations journal October 2004
Investigation of the ozone formation reaction pathway: Comparisons of full configuration interaction quantum Monte Carlo and fixed-node diffusion Monte Carlo with contracted and uncontracted MRCI journal September 2017
Ultrafast internal conversion and fragmentation in electronically excited C2H4 and C2H3Cl molecules journal May 1998
Variational configuration interaction methods and comparison with perturbation theory journal January 1977
On the nature of the π → π* ionic excited states: The V state of ethene as a prototype journal June 2009
Zethrenes, Extended p -Quinodimethanes, and Periacenes with a Singlet Biradical Ground State journal July 2014
The Multiradical Character of One- and Two-Dimensional Graphene Nanoribbons journal January 2013
Detailed Wave Function Analysis for Multireference Methods: Implementation in the Molcas Program Package and Applications to Tetracene journal October 2017
Efficient and Flexible Computation of Many-Electron Wave Function Overlaps journal February 2016
Approximately extensive modifications of the multireference configuration interaction method: A theoretical and practical analysis journal September 1995
Graph theoretical concepts for the unitary group approach to the many-electron correlation problem journal January 1977
Surface hopping dynamics using a locally diabatic formalism: Charge transfer in the ethylene dimer cation and excited state dynamics in the 2-pyridone dimer journal December 2012
Ab initio relativistic effective potentials with spin-orbit operators. VII. Am through element 118 journal March 1997
Local Electron Correlation Treatment in Extended Multireference Calculations: Effect of Acceptor–Donor Substituents on the Biradical Character of the Polycyclic Aromatic Hydrocarbon Heptazethrene journal May 2017
Strange and Unconventional Isotope Effects in Ozone Formation journal May 2001
The restricted active space self-consistent-field method, implemented with a split graph unitary group approach journal July 1990
Analytic evaluation of nonadiabatic coupling terms at the MR-CI level. I. Formalism journal April 2004
A general multireference configuration interaction gradient program journal February 1992
Electronic Structure and Bonding in Actinyl Ions and their Analogs journal May 2007
Communication: On the competition between adiabatic and nonadiabatic dynamics in vibrationally mediated ammonia photodissociation in its A band journal March 2015
The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices journal January 1975
Exceptionally Long (≥2.9 Å) C−C Bonds between [TCNE]− Ions: Two-Electron, Four-Center π*-π* C−C Bonding in π-[TCNE]22− journal July 2001
Energy‐adjusted a b i n i t i o pseudopotentials for the rare earth elements journal February 1989
N-Heteroacenes journal July 2009
Semiempirical molecular dynamics investigation of the excited state lifetime of ethylene journal January 2005
Perspectives on Basis Sets Beautiful: Seasonal Plantings of Diffuse Basis Functions journal August 2011
Nitrogen-doped heptazethrene and octazethrene diradicaloids journal January 2019
Analytic non-adiabatic derivative coupling terms for spin-orbit MRCI wavefunctions. II. Derivative coupling terms and coupling angle for KHeA2Π1/2⇔KHeB2Σ1/2 journal December 2019
On the vibronic coupling approximation: A generally applicable approach for determining fully quadratic quasidiabatic coupled electronic state Hamiltonians journal September 2007
Surface hopping investigation of the relaxation dynamics in radical cations journal January 2016
Ab initio relativistic effective potentials with spin-orbit operators. VI. Fr through Pu journal December 1991
On the combination of ECP-based CI calculations with all-electron spin-orbit mean-field integrals journal April 1998
The all configuration mean energy multiconfiguration self-consistent-field method. I. Equal configuration weights journal August 2018
Preparation of 1,3,2,4,6-dithiatriazines with substituted aryl groups and the x-ray crystal structure of the (4-chlorophenyl)dithiatriazine dimer journal April 1992
A perspective on the CASPT2 method journal April 2011
Tuning the Biradicaloid Nature of Polycyclic Aromatic Hydrocarbons: The Effect of Graphitic Nitrogen Doping in Zethrenes journal August 2018
Comparison of multireference configuration interaction potential energy surfaces for H + O2 → HO2: the effect of internal contraction journal December 2013
Spin-orbit (core) and core potential integrals journal December 1991
Ambipolar organic field-effect transistors based on a low band gap semiconductor with balanced hole and electron mobilities journal July 2007
An efficient internally contracted multiconfiguration–reference configuration interaction method journal November 1988
An infinite-order two-component relativistic Hamiltonian by a simple one-step transformation journal February 2007
Large-Scale Parallel Uncontracted Multireference-Averaged Quadratic Coupled Cluster: The Ground State of the Chromium Dimer Revisited journal November 2009
Optimized Gaussian basis sets for use with relativistic effective (core) potentials: Li?Ar journal December 1991
A comparison of singlet and triplet states for one- and two-dimensional graphene nanoribbons using multireference theory journal June 2014
Multi-reference averaged quadratic coupled-cluster method: a size-extensive modification of multi-reference CI journal November 1993
Multicenter Bonding in Ditetracyanoethylene Dianion: A Simple Aromatic Picture in Terms of Three-Electron Bonds journal May 2013
Geometry optimization of excited valence states of formaldehyde using analytical multireference configuration interaction singles and doubles and multireference averaged quadratic coupled-cluster gradients, and the conical intersection formed by the 1 [sup 1]B[sub 1](σ-π[sup ∗]) and 2 [sup 1]A[sub 1](π-π[sup ∗]) states journal January 2001
The Maximin Principle of π-Radical Packings journal October 2005
Gaussian basis sets for use in correlated molecular calculations. IV. Calculation of static electrical response properties journal February 1994
Are atoms intrinsic to molecular electronic wavefunctions? I. The FORS model journal September 1982
Neural network based quasi-diabatic Hamiltonians with symmetry adaptation and a correct description of conical intersections journal June 2019
Analysis of Electronic States and Energy Level Structure of Uranyl in Compounds journal November 2011
Multireference Nature of Chemistry: The Coupled-Cluster View journal December 2011
Relaxation mechanisms of UV-photoexcited DNA and RNA nucleobases journal November 2010
Toward an Improved Ground State Potential Energy Surface of Ozone journal September 2010
Azomethane: Nonadiabatic Photodynamical Simulations in Solution journal December 2010
Vibrationally mediated photodissociation of ammonia: The influence of N–H stretching vibrations on passage through conical intersections journal November 2006
Columbus-a program system for advanced multireference theory calculations: The Columbus multireference program system
  • Lischka, Hans; Müller, Thomas; Szalay, Péter G.
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 1, Issue 2 https://doi.org/10.1002/wcms.25
journal January 2011
Ab Initio Multiple Spawning Dynamics Using Multi-State Second-Order Perturbation Theory journal December 2009
Exact decoupling of the Dirac Hamiltonian. II. The generalized Douglas–Kroll–Hess transformation up to arbitrary order journal January 2004
The crystal structure of sodium 7,7,8,8-tetracyanoquinodimethanide journal May 1974
Atomic orbital basis sets for use with effective core potentials journal January 2000
Nonadiabatic Deactivation of 9 H -Adenine: A Comprehensive Picture Based on Mixed Quantum−Classical Dynamics journal May 2008
Generalized valence bond description of the low-lying states of formaldehyde journal October 1975
A Persistent Diazaheptacene Derivative journal October 2014
Photochemistry of CF 3 Cl: Quenching of Charged Fragments Is Caused by Nonadiabatic Effects journal August 2018
Ultrafast Excited-State Decays in [Re(CO) 3 (N,N)(L)] n + : Nonadiabatic Quantum Dynamics journal February 2017
Excitation energies and transition moments by the multireference averaged quadratic coupled cluster (MR-AQCC) method journal January 2000
The self‐consistent electron pairs method for multiconfiguration reference state functions journal March 1982
Graphene NanoFlakes with Large Spin journal January 2008
Kinetics of the Strain-Promoted Oxidation-Controlled Cycloalkyne-1,2-quinone Cycloaddition: Experimental and Theoretical Studies journal December 2017
An Extended Multireference Study of the Singlet and Triplet States of the 9,10-didehydroanthracene Diradical journal March 2018
Communication: Highly accurate ozone formation potential and implications for kinetics journal August 2011
Tetrathiafulvalenes, Oligoacenenes, and Their Buckminsterfullerene Derivatives:  The Brick and Mortar of Organic Electronics journal November 2004
Proton transfer in solution: Molecular dynamics with quantum transitions journal September 1994
Electronic Structure and Spectra of Actinyl Ions journal April 2001
Multiconfiguration Self-Consistent Field and Multireference Configuration Interaction Methods and Applications journal December 2011
Interaction of orbitals through space and through bonds journal January 1971
Photoinduced dynamics of ethene in the N, V, and Z valence states: A six-dimensional nonadiabatic quantum dynamics investigation journal June 2004
Photoinduced Formation of H-Bonded Ion Pair in HCFC-133a journal February 2019
Size extensive modification of local multireference configuration interaction journal January 2004
Electron affinities of the first‐row atoms revisited. Systematic basis sets and wave functions journal May 1992
The multifacet graphically contracted function method. I. Formulation and implementation journal August 2014
Stratospheric lifetime ratio of CFC-11 and CFC-12 from satellite and model climatologies journal January 2014
New implementation of the graphical unitary group approach for multireference direct configuration interaction calculations journal March 1981
Influence of the active space on CASSCF nonadiabatic dynamics simulations journal January 2011
Non-adiabatic and intersystem crossing dynamics in SO 2 . II. The role of triplet states in the bound state dynamics studied by surface-hopping simulations journal May 2014
Optimization of mixed quantum-classical dynamics: Time-derivative coupling terms and selected couplings journal February 2009
NWChem: A comprehensive and scalable open-source solution for large scale molecular simulations journal September 2010
Ultrafast Dynamics and Coherent Oscillations in Ethylene and Ethylene- d 4 Excited at 162 nm journal August 2008
Effects of electronegative substitution on the optical and electronic properties of acenes and diazaacenes journal October 2010
Size consistency in the dilute helium gas electronic structure journal December 1977
Nonradiative Deactivation Mechanisms of Uracil, Thymine, and 5-Fluorouracil: A Comparative ab Initio Study journal December 2011
Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for H to Rn: Design and assessment of accuracy journal January 2005
Structural and electronic properties of graphene nanoflakes journal February 2010
Highly efficient optically pumped cesium vapor laser journal April 2006
Synthesis, Intermolecular Interaction, and Semiconductive Behavior of a Delocalized Singlet Biradical Hydrocarbon journal October 2005
Polyradical Character of Triangular Non-Kekulé Structures, Zethrenes, p -Quinodimethane-Linked Bisphenalenyl, and the Clar Goblet in Comparison: An Extended Multireference Study journal February 2016
An improved quasi-diabatic representation of the 1, 2, 3 1 A coupled adiabatic potential energy surfaces of phenol in the full 33 internal coordinates journal March 2016
Role of Rydberg States in the Photochemical Dynamics of Ethylene journal December 2011
Ab Initio Multiple Spawning:  Photochemistry from First Principles Quantum Molecular Dynamics journal June 2000
Implementation of surface hopping molecular dynamics using semiempirical methods journal June 2008
Higher Order π-Conjugated Polycyclic Hydrocarbons with Open-Shell Singlet Ground State: Nonazethrene versus Nonacene journal August 2016
Multimode-diode-pumped gas (alkali-vapor) laser journal January 2006
Basis sets in correlated effective potential calculations journal June 2000
Multimode Molecular Dynamics Beyond the Born-Oppenheimer Approximation book January 2007
Atomic self-consistent-field program by the basis set expansion method: Columbus version journal August 2012
A fast intrinsic localization procedure applicable for a b i n i t i o and semiempirical linear combination of atomic orbital wave functions journal May 1989
Double Pancake Bonds: Pushing the Limits of Strong π–π Stacking Interactions journal September 2014
Ultrafast non-adiabatic dynamics of ethylene including Rydberg states journal September 2013
Multiple laser diode array pumped Cs laser with 48 W output power journal January 2008
MCSCF optimization through combined use of natural orbitals and the brillouin-levy-berthier theorem journal November 1979
Multireference Approaches for Excited States of Molecules journal April 2018
Molecular dynamics with electronic transitions journal July 1990
Local Treatment of Electron Correlation journal October 1993
Theoretical Analysis of the Electronic Structure and Bonding Stability of the TCNE Dimer Dianion (TCNE) 2 2 - journal December 2003
Conical Intersections: Electronic Structure, Dynamics and Spectroscopy book July 2004

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