Title: Analytic Nuclear Gradients for Complete Active Space Linearized Pair-Density Functional Theory

Journal Article · · Journal of Chemical Theory and Computation

Accurately modeling photochemical reactions is difficult due to the presence of conical intersections and locally avoided crossings, as well as the inherently multiconfigurational character of excited states. As such, one needs a multistate method that incorporates state interaction in order to accurately model the potential energy surface at all nuclear coordinates. The recently developed linearized pair-density functional theory (L-PDFT) is a multistate extension of multiconfiguration PDFT, and it has been shown to be a cost-effective post-MCSCF method (as compared to more traditional and expensive multireference many-body perturbation methods or multireference configuration interaction methods) that can accurately model potential energy surfaces in regions of strong nuclear–electronic coupling in addition to accurately predicting Franck–Condon vertical excitations. Here, in this paper, we report the derivation of analytic gradients for L-PDFT and their implementation in the PySCF-forge software, and we illustrate the utility of these gradients for predicting ground- and excited-state equilibrium geometries and adiabatic excitation energies for formaldehyde, s-trans-butadiene, phenol, and cytosine.

Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
2566372
Journal Information:
Journal of Chemical Theory and Computation, Journal Name: Journal of Chemical Theory and Computation Journal Issue: 9 Vol. 20; ISSN 1549-9618
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (105)

The role of databases in support of computational chemistry calculations journal October 1996
The Complete Active Space Self-Consistent Field Method and its Applications in Electronic Structure Calculations book January 1987
Molecular Photochemistry: Recent Developments in Theory journal June 2020
A Time‐Dependent Picture of the Ultrafast Deactivation of keto‐Cytosine Including Three‐State Conical Intersections journal November 2010
Libcint: An efficient general integral library for Gaussian basis functions journal June 2015
A second-quantization approach to the analytical evaluation of response properties for perturbation-dependent basis sets journal August 1984
The algebraic diagrammatic construction scheme for the polarization propagator for the calculation of excited states journal September 2014
P y SCF: the Python-based simulations of chemistry framework : The PySCF program
  • Sun, Qiming; Berkelbach, Timothy C.; Blunt, Nick S.
  • Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 8, Issue 1 https://doi.org/10.1002/wcms.1340
journal September 2017
Internally contracted multiconfiguration-reference configuration interaction calculations for excited states journal October 1992
Bemerkung zur Elektronentheorie des Ferromagnetismus und der elektrischen Leitf�higkeit journal July 1929
Zur Rolle der kinetischen Elektronenenergie f�r die zwischenatomaren Kr�fte journal March 1933
Experimental and theoretical study of the cytosine tautomerism through excited states journal September 2023
The padé-approximant method and its applications in the construction of potential-energy curves for the lithium hydride molecule journal November 1986
MP2 energy evaluation by direct methods journal December 1988
The second-order approximate coupled cluster singles and doubles model CC2 journal September 1995
The bands of the isotopic lithium hydrides journal February 1978
A theoretical investigation of HeH+ journal June 1979
The geometry and the inversion potential function of formaldehyde in the and electronic states journal July 1982
Microwave spectra of the six mono-13C-substituted phenols and of some monodeuterated species of phenol. Complete substitution structure and absolute dipole moment journal January 1979
A complete active space SCF method (CASSCF) using a density matrix formulated super-CI approach journal May 1980
The multi-state CASPT2 method journal May 1998
Photochemistry and photophysics of transition metal complexes: Quantum chemistry journal January 2015
Libxc: A library of exchange and correlation functionals for density functional theory journal October 2012
Recent developments in libxc — A comprehensive library of functionals for density functional theory journal January 2018
Note on Exchange Phenomena in the Thomas Atom journal July 1930
Photon Upconversion for Photovoltaics and Photocatalysis: A Critical Review journal July 2021
Quantum Mechanical Studies on the Photophysics and the Photochemistry of Nucleic Acids and Nucleobases journal March 2016
Combining Wave Function Methods with Density Functional Theory for Excited States journal April 2018
Compressed-State Multistate Pair-Density Functional Theory journal November 2020
Large-Scale Benchmarking of Multireference Vertical-Excitation Calculations via Automated Active-Space Selection journal September 2022
The OpenMolcas Web: A Community-Driven Approach to Advancing Computational Chemistry journal May 2023
Linearized Pair-Density Functional Theory journal May 2023
Linearized Pair-Density Functional Theory for Vertical Excitation Energies journal October 2023
Multiconfiguration Pair-Density Functional Theory: A Fully Translated Gradient Approximation and Its Performance for Transition Metal Dimers and the Spectroscopy of Re 2 Cl 8 2– journal August 2015
Accurate Excited-State Geometries: A CASPT2 and Coupled-Cluster Reference Database for Small Molecules journal November 2017
Analytic Gradients for Complete Active Space Pair-Density Functional Theory journal December 2017
A Mountaineering Strategy to Excited States: Highly Accurate Reference Energies and Benchmarks journal June 2018
Reference Energies for Double Excitations journal January 2019
Automatic Active Space Selection for Calculating Electronic Excitation Energies Based on High-Spin Unrestricted Hartree–Fock Orbitals journal August 2019
Multiconfiguration Pair-Density Functional Theory Is as Accurate as CASPT2 for Electronic Excitation journal January 2016
Basis Set Exchange:  A Community Database for Computational Sciences journal March 2007
Convergent Partially Augmented Basis Sets for Post-Hartree−Fock Calculations of Molecular Properties and Reaction Barrier Heights journal December 2010
Excited States of Butadiene to Chemical Accuracy: Reconciling Theory and Experiment journal September 2012
Diabatic Molecular Orbitals, Potential Energies, and Potential Energy Surface Couplings by the 4-fold Way for Photodissociation of Phenol journal July 2013
Multiconfiguration Pair-Density Functional Theory journal August 2014
Solar Energy Conversion by Dye-Sensitized Photovoltaic Cells journal October 2005
Second-order perturbation theory with a CASSCF reference function journal July 1990
A Theoretical Investigation of Excited-State Acidity of Phenol and Cyanophenols journal December 2000
Doubly Excited Character or Static Correlation of the Reference State in the Controversial 2 1 A g State of trans -Butadiene? journal September 2017
Relative Stabilities of Three Low-Energy Tautomers of Cytosine:  A Coupled Cluster Electron Correlation Study journal February 2002
Unified Model for the Ultrafast Decay of Pyrimidine Nucleobases journal December 2006
Quantum Chemical Investigations on the Nonradiative Deactivation Pathways of Cytosine Derivatives journal September 2014
Near-Ultraviolet Photodissociation of Thiophenol † journal October 2008
Photodissociation Dynamics of Thiophenol- d 1 : The Nature of Excited Electronic States along the S−D Bond Dissociation Coordinate journal October 2009
Bioinspiration in light harvesting and catalysis journal August 2020
Astrophysical detection of the helium hydride ion HeH+ journal April 2019
The S 1 state geometry of phenol determined by simultaneous Franck–Condon and rotational constants fits journal January 2003
Electronic spectrum and characterization of diabatic potential energy surfaces for thiophenol journal January 2018
Multi-state pair-density functional theory journal January 2020
Electronic structure of strongly correlated systems: recent developments in multiconfiguration pair-density functional theory and multiconfiguration nonclassical-energy functional theory journal January 2022
Excited-state hydrogen detachment and hydrogen transfer driven by repulsive 1πσ* states: A new paradigm for nonradiative decay in aromatic biomolecules journal February 2002
Photophysics of cytosine tautomers: new insights into the nonradiative decay mechanisms from MS-CASPT2 potential energy calculations and excited-state molecular dynamics simulations journal January 2013
Introduction of n -electron valence states for multireference perturbation theory journal June 2001
Analytical energy gradients for internally contracted second-order multireference perturbation theory journal September 2003
Hartree—Fock—Roothaan Wavefunctions, Potential Curves, and Charge-Density Contours for the HeH+(X 1Σ+) and NeH+(X 1Σ+) Molecule Ions journal August 1965
Potential Energy Curves for Lithium Hydride journal May 1960
On the Non‐Orthogonality Problem Connected with the Use of Atomic Wave Functions in the Theory of Molecules and Crystals journal March 1950
Helium Hydride Ion journal December 1933
The triplet state of cytosine and its derivatives: Electron impact and quantum chemical study journal December 2004
Ab initio characterization of the conical intersections involved in the photochemistry of phenol journal December 2008
Excited state hydrogen transfer dynamics in substituted phenols and their complexes with ammonia: ππ∗-πσ∗ energy gap propensity and ortho -substitution effect journal September 2010
Very accurate potential energy curve of the LiH molecule journal February 2011
Tunnelling under a conical intersection: Application to the product vibrational state distributions in the UV photodissociation of phenols journal May 2011
Extended multi-configuration quasi-degenerate perturbation theory: The new approach to multi-state multi-reference perturbation theory journal June 2011
Electron‐impact spectroscopy of acetaldehyde journal October 1987
Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen journal January 1989
Electron affinities of the first‐row atoms revisited. Systematic basis sets and wave functions journal May 1992
Perturbative triple excitation corrections to coupled cluster singles and doubles excitation energies journal July 1996
The CC3 model: An iterative coupled cluster approach including connected triples journal February 1997
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
Geometry optimization made simple with translation and rotation coordinates journal June 2016
State-interaction pair-density functional theory journal July 2018
Full-dimensional three-state potential energy surfaces and state couplings for photodissociation of thiophenol journal October 2019
Spectroscopy and Structure of the Lithium Hydride Diatomic Molecules and Ions journal January 1993
Recent developments in the P y SCF program package journal July 2020
Analytic gradients for state-averaged multiconfiguration pair-density functional theory journal July 2020
Analytic gradients for multiconfiguration pair-density functional theory with density fitting: Development and application to geometry optimization in the ground and excited states journal February 2021
Exploring nuclear motion through conical intersections in the UV photodissociation of phenols and thiophenol journal July 2008
Analytical gradients of a state average MCSCF state and a state average diagnostic journal January 2001
Analytic gradients for compressed multistate pair-density functional theory journal September 2022
The ground-state average and equilibrium structures of formaldehyde and ethylene journal November 1974
A direct implementation of the second-order derivatives of multiconfigurational SCF energies and an analysis of the preconditioning in the associated response equation journal February 1999
Forces in Molecules journal August 1939
Generalized Gradient Approximation Made Simple journal October 1996
Note on an Approximation Treatment for Many-Electron Systems journal October 1934
The crystal structure of cytosine journal December 1964
The Role of   * Excited States in the Photodissociation of Heteroaromatic Molecules journal June 2006
Electronic structure in the transition metal block and its implications for light harvesting journal January 2019
Quantum-state–selective electron recombination studies suggest enhanced abundance of primordial HeH + journal July 2019
Light harvesting in oxygenic photosynthesis: Structural biology meets spectroscopy journal August 2020
Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis journal August 1980
Theoretical Description of Structural and Electronic Properties of Organic Photovoltaic Materials journal April 2015
Shedding New Light on Retinal Protein Photochemistry journal April 2013
Retinal Proteins: Photochemistry and Optogenetics journal November 2019
The Molecular Structure of 1,3-Butadiene and 1,3,5-trans-Hexatriene. journal January 1966

Similar Records

Analytic gradients for compressed multistate pair-density functional theory
Journal Article · 2022 · Molecular Physics · OSTI ID:2427984

Minimum-Energy Conical Intersections by Compressed Multistate Pair-Density Functional Theory
Journal Article · 2024 · Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory · OSTI ID:2566373

Linearized Pair-Density Functional Theory for Vertical Excitation Energies
Journal Article · 2023 · Journal of Chemical Theory and Computation · OSTI ID:2572126