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

Analytic Energy Gradients for the Driven Similarity Renormalization Group Multireference Second-Order Perturbation Theory

Journal Article · · Journal of Chemical Theory and Computation
 [1];  [2];  [1]
  1. Department of Chemistry and Cherry Emerson Center for Scientific Computation, Emory University, Atlanta, Georgia 30322, United States
  2. Key Laboratory of Theoretical and Computational Photochemistry, Ministry of Education, College of Chemistry, Beijing Normal University, Beijing 100875, China

Not provided.

Research Organization:
Emory Univ., Atlanta, GA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
SC0016004
OSTI ID:
1977914
Journal Information:
Journal of Chemical Theory and Computation, Vol. 17, Issue 12; ISSN 1549-9618
Publisher:
American Chemical Society
Country of Publication:
United States
Language:
English

References (89)

Arbitrary-Order Derivatives of Quantum Chemical Methods via Automatic Differentiation journal March 2021
Ab initio molecular dynamics: Concepts, recent developments, and future trends journal May 2005
On-the-Fly CASPT2 Surface-Hopping Dynamics journal July 2017
Ab Initio Nonadiabatic Quantum Molecular Dynamics journal February 2018
Communication: Exact analytical derivatives for the domain-based local pair natural orbital MP2 method (DLPNO-MP2) journal January 2018
Analytical energy gradients for local second-order Møller-Plesset perturbation theory using intrinsic bond orbitals journal October 2018
Analytical Energy Gradients for the Cluster-in-Molecule MP2 Method and Its Application to Geometry Optimizations of Large Systems journal May 2019
Multiconfiguration Self-Consistent Field and Multireference Configuration Interaction Methods and Applications journal December 2011
Multireference Nature of Chemistry: The Coupled-Cluster View journal December 2011
State-specific multireference coupled-cluster theory: State-specific multireference coupled-cluster theory
  • Köhn, Andreas; Hanauer, Matthias; Mück, Leonie Anna
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 3, Issue 2 https://doi.org/10.1002/wcms.1120
journal October 2012
Perspective: Multireference coupled cluster theories of dynamical electron correlation journal July 2018
Second-order perturbation theory with a CASSCF reference function journal July 1990
Multireference Møller—Plesset method journal March 1992
Second‐order perturbation theory with a complete active space self‐consistent field reference function journal January 1992
Considerations in constructing a multireference second‐order perturbation theory journal March 1994
Third-order multireference perturbation theory The CASPT3 method journal October 1996
Introduction of n -electron valence states for multireference perturbation theory journal June 2001
n -electron valence state perturbation theory: A spinless formulation and an efficient implementation of the strongly contracted and of the partially contracted variants journal November 2002
Explication and revision of generalized Van Vleck perturbation theory for molecular electronic structure journal September 2002
Multiconfiguration perturbation theory: Size consistency at second order journal March 2005
Comparison of low-order multireference many-body perturbation theories journal April 2005
Comparative study of multireference perturbative theories for ground and excited states journal November 2009
A companion perturbation theory for state-specific multireference coupled cluster methods
  • Evangelista, Francesco A.; Simmonett, Andrew C.; Schaefer III, Henry F.
  • Physical Chemistry Chemical Physics, Vol. 11, Issue 23 https://doi.org/10.1039/b822910d
journal January 2009
Time-dependent N -electron valence perturbation theory with matrix product state reference wavefunctions for large active spaces and basis sets: Applications to the chromium dimer and all-trans polyenes journal June 2017
A Jeziorski-Monkhorst fully uncontracted multi-reference perturbative treatment. I. Principles, second-order versions, and tests on ground state potential energy curves journal June 2017
Multiconfigurational perturbation theory with level shift — the Cr2 potential revisited journal October 1995
Multiconfiguration perturbation theory with imaginary level shift journal August 1997
The choice of a zeroth‐order Hamiltonian for second‐order perturbation theory with a complete active space self‐consistent‐field reference function journal March 1995
Approximating the second-order reduced density matrix in terms of the first-order one journal April 1992
Normal order and extended Wick theorem for a multiconfiguration reference wave function journal July 1997
Cumulant decomposition of reduced density matrices, multireference normal ordering, and Wicks theorem: A spin-free approach journal November 2009
Reduced Density Matrix Cumulants: The Combinatorics of Size-Consistency and Generalized Normal Ordering journal August 2020
Complete active space second-order perturbation theory with cumulant approximation for extended active-space wavefunction from density matrix renormalization group journal November 2014
Cumulant Approximated Second-Order Perturbation Theory Based on the Density Matrix Renormalization Group for Transition Metal Complexes: A Benchmark Study journal August 2016
A study of cumulant approximations to n-electron valence multireference perturbation theory journal May 2009
Approximations of density matrices in N-electron valence state second-order perturbation theory (NEVPT2). I. Revisiting the NEVPT2 construction journal June 2021
Approximations of density matrices in N-electron valence state second-order perturbation theory (NEVPT2). II. The full rank NEVPT2 (FR-NEVPT2) formulation journal June 2021
Multireference Perturbation Theory with Cholesky Decomposition for the Density Matrix Renormalization Group journal February 2017
Communication: A flexible multi-reference perturbation theory by minimizing the Hylleraas functional with matrix product states journal September 2014
Combining Internally Contracted States and Matrix Product States To Perform Multireference Perturbation Theory journal January 2017
A time-dependent formulation of multi-reference perturbation theory journal February 2016
Multi-reference algebraic diagrammatic construction theory for excited states: General formulation and first-order implementation journal November 2018
Extended Second-Order Multireference Algebraic Diagrammatic Construction Theory for Charged Excitations journal September 2020
Analytic energy gradients for multiconfigurational self-consistent field second-order quasidegenerate perturbation theory (MC-QDPT) journal April 1998
Quasidegenerate perturbation theory with multiconfigurational self‐consistent‐field reference functions journal November 1993
Analytic Energy Gradients for Second-Order Multireference Perturbation Theory book February 1999
Extended multi-configuration quasi-degenerate perturbation theory: The new approach to multi-state multi-reference perturbation theory journal June 2011
Analytical First-Order Derivatives of Second-Order Extended Multiconfiguration Quasi-Degenerate Perturbation Theory (XMCQDPT2): Implementation and Application journal July 2020
Analytical Gradient Theory for Resolvent-Fitted Second-Order Extended Multiconfiguration Perturbation Theory (XMCQDPT2) journal September 2021
Analytical energy gradients for internally contracted second-order multireference perturbation theory journal September 2003
Molecular gradients for the second-order generalized Van Vleck variant of multireference perturbation theory journal July 2003
GVVPT2 energy gradient using a Lagrangian formulation journal July 2011
Nonadiabatic coupling terms for the GVVPT2 variant of multireference perturbation theory journal June 2012
Communication: Extended multi-state complete active space second-order perturbation theory: Energy and nuclear gradients journal August 2011
Analytical energy gradients for second-order multireference perturbation theory using density fitting journal March 2013
Communication: Automatic code generation enables nuclear gradient computations for fully internally contracted multireference theory journal February 2015
Nuclear Energy Gradients for Internally Contracted Complete Active Space Second-Order Perturbation Theory: Multistate Extensions journal July 2016
Analytical Derivative Coupling for Multistate CASPT2 Theory journal May 2017
Imaginary Shift in CASPT2 Nuclear Gradient and Derivative Coupling Theory journal May 2019
BAGEL: Brilliantly Advanced General Electronic-structure Library: BAGEL journal August 2017
Reduced scaling formulation of CASPT2 analytical gradients using the supporting subspace method journal January 2021
A diagrammatic approach for automatically deriving analytical gradients of tensor hyper-contracted electronic structure methods journal July 2021
Analytical Gradient Theory for Strongly Contracted (SC) and Partially Contracted (PC) N -Electron Valence State Perturbation Theory (NEVPT2) journal September 2019
Analytical Gradient Theory for Quasidegenerate N -Electron Valence State Perturbation Theory (QD-NEVPT2) journal November 2019
Analytic first-order derivatives of partially contracted n -electron valence state second-order perturbation theory (PC-NEVPT2) journal September 2019
Locating conical intersections using the quasidegenerate partially and strongly contracted NEVPT2 methods journal April 2020
Analytic gradients for restricted active space second-order perturbation theory (RASPT2) journal May 2021
A driven similarity renormalization group approach to quantum many-body problems journal August 2014
Multireference Theories of Electron Correlation Based on the Driven Similarity Renormalization Group journal June 2019
Multireference Driven Similarity Renormalization Group: A Second-Order Perturbative Analysis journal April 2015
Towards numerically robust multireference theories: The driven similarity renormalization group truncated to one- and two-body operators journal April 2016
Driven similarity renormalization group: Third-order multireference perturbation theory journal March 2017
Improving the Efficiency of the Multireference Driven Similarity Renormalization Group via Sequential Transformation, Density Fitting, and the Noninteracting Virtual Orbital Approximation journal June 2019
Spin-free formulation of the multireference driven similarity renormalization group: A benchmark study of first-row diatomic molecules and spin-crossover energetics journal September 2021
An integral-factorized implementation of the driven similarity renormalization group second-order multireference perturbation theory journal May 2016
A Combined Selected Configuration Interaction and Many-Body Treatment of Static and Dynamical Correlation in Oligoacenes journal November 2018
Toward an Accurate Ab Initio Description of Low-Lying Singlet Excited States of Polyenes journal June 2021
Analytic gradients for the single-reference driven similarity renormalization group second-order perturbation theory journal July 2019
On the evaluation of analytic energy derivatives for correlated wave functions journal December 1984
Generalization of analytic configuration interaction (CI) gradient techniques for potential energy hypersurfaces, including a solution to the coupled perturbed Hartree–Fock equations for multiconfiguration SCF molecular wave functions journal July 1982
On the efficient evaluation of analytic energy gradients journal December 1985
Analytic gradients for the spin-conserving and spin-flipping equation-of-motion coupled-cluster models with single and double substitutions journal June 2005
A complete active space SCF method (CASSCF) using a density matrix formulated super-CI approach journal May 1980
P si4 1.4: Open-source software for high-throughput quantum chemistry journal May 2020
Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen journal January 1989
Gaussian basis sets for use in correlated molecular calculations. V. Core‐valence basis sets for boron through neon journal September 1995
A state-specific multi-reference coupled cluster formalism with molecular applications journal May 1998
Perturbative triples corrections in state-specific multireference coupled cluster theory journal February 2010
Driven similarity renormalization group for excited states: A state-averaged perturbation theory journal March 2018