Polarizable embedding with a multiconfiguration short-range density functional theory linear response method.

We present here the coupling of a polarizable embedding (PE) model to the recently developed multiconfiguration short-range density functional theory method (MC-srDFT), which can treat multiconfigurational systems with a simultaneous account for dynamical and static correlation effects. PE-MC-srDFT is designed to combine efficient treatment of complicated electronic structures with inclusion of effects from the surrounding environment. The environmental effects encompass classical electrostatic interactions as well as polarization of both the quantum region and the environment. Using response theory, molecular properties such as excitation energies and oscillator strengths can be obtained. The PE-MC-srDFT method and the additional terms required for linear response have been implemented in a development version of Dalton. To benchmark the PE-MC-srDFT approach against the literature data, we have investigated the low-lying electronic excitations of acetone and uracil, both immersed in water solution. The PE-MC-srDFT results are consistent and accurate, both in terms of the calculated solvent shift and, unlike regular PE-MCSCF, also with respect to the individual absolute excitation energies. To demonstrate the capabilities of PE-MC-srDFT, we also investigated the retinylidene Schiff base chromophore embedded in the channelrhodopsin protein. While using a much more compact reference wave function in terms of active space, our PE-MC-srDFT approach yields excitation energies comparable in quality to CASSCF/CASPT2 benchmarks.

[1]  Mark S. Gordon,et al.  The Effective Fragment Potential Method: A QM-Based MM Approach to Modeling Environmental Effects in Chemistry , 2001 .

[2]  E. Gross,et al.  Time-dependent density functional theory. , 2004, Annual review of physical chemistry.

[3]  Jacob Kongsted,et al.  The multi-configuration self-consistent field method within a polarizable embedded framework. , 2013, The Journal of chemical physics.

[4]  Jacob Kongsted,et al.  Excited States in Solution through Polarizable Embedding , 2010 .

[5]  M. Gordon,et al.  Solvent effects on optical properties of molecules: a combined time-dependent density functional theory/effective fragment potential approach. , 2008, The Journal of chemical physics.

[6]  Luca Frediani,et al.  The Dalton quantum chemistry program system , 2013, Wiley interdisciplinary reviews. Computational molecular science.

[7]  Mark S. Gordon,et al.  An effective fragment method for modeling solvent effects in quantum mechanical calculations , 1996 .

[8]  N. S. Bayliss,et al.  Solvent Effects in the Spectra of Acetone, Crotonaldehyde, Nitromethane and Nitrobenzene , 1954 .

[9]  Roland Lindh,et al.  Local properties of quantum chemical systems: the LoProp approach. , 2004, The Journal of chemical physics.

[10]  Yun Lu,et al.  Performance assessment of density‐functional methods for study of charge‐transfer complexes , 2003, J. Comput. Chem..

[11]  Jan H. Jensen,et al.  Chapter 10 The Effective Fragment Potential: A General Method for Predicting Intermolecular Interactions , 2007 .

[12]  Stefan Knecht,et al.  Multi-configuration time-dependent density-functional theory based on range separation. , 2012, The Journal of chemical physics.

[13]  Julien Preat,et al.  An ab initio study of the absorption spectra of indirubin, isoindigo, and related derivatives. , 2006, The journal of physical chemistry. A.

[14]  Ignacio Tinoco,et al.  Vapor Spectra and Heats of Vaporization of Some Purine and Pyrimidine Bases1 , 1965 .

[15]  M. Head‐Gordon,et al.  Failure of time-dependent density functional theory for long-range charge-transfer excited states: the zincbacteriochlorin-bacteriochlorin and bacteriochlorophyll-spheroidene complexes. , 2004, Journal of the American Chemical Society.

[16]  Markus P. Fülscher,et al.  Solvent Effects on Electronic Spectra Studied by Multiconfigurational Perturbation Theory , 1997 .

[17]  Valera Veryazov,et al.  How to Select Active Space for Multiconfigurational Quantum Chemistry , 2011 .

[18]  Walter Thiel,et al.  QM/MM methods for biomolecular systems. , 2009, Angewandte Chemie.

[19]  Jacob Kongsted,et al.  Molecular Properties through Polarizable Embedding , 2011 .

[20]  Stefan Knecht,et al.  Assessment of charge-transfer excitations with time-dependent, range-separated density functional theory based on long-range MP2 and multiconfigurational self-consistent field wave functions. , 2013, The Journal of chemical physics.

[21]  M. Ratner Molecular electronic-structure theory , 2000 .

[22]  M. E. Casida,et al.  Progress in time-dependent density-functional theory. , 2011, Annual review of physical chemistry.

[23]  Jacob Kongsted,et al.  Solvation Effects on Electronic Transitions: Exploring the Performance of Advanced Solvent Potentials in Polarizable Embedding Calculations. , 2011, Journal of chemical theory and computation.

[24]  K. Pierloot Transition metals compounds: Outstanding challenges for multiconfigurational methods , 2011 .

[25]  H. Werner,et al.  A short-range gradient-corrected density functional in long-range coupled-cluster calculations for rare gas dimers. , 2005, Physical chemistry chemical physics : PCCP.

[26]  Jorge M. Seminario,et al.  Recent developments and applications of modern density functional theory , 1996 .

[27]  J. Tomasi,et al.  Quantum mechanical continuum solvation models. , 2005, Chemical reviews.

[28]  Manuel Calderón Sánchez,et al.  Solvent Effects on the Radiative and Nonradiative Decay of a Model of the Rhodopsin Chromophore. , 2011, Journal of chemical theory and computation.

[29]  Jógvan Magnus Haugaard Olsen,et al.  PERI-CC2: A Polarizable Embedded RI-CC2 Method. , 2012, Journal of chemical theory and computation.

[30]  T. H. Dunning Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen , 1989 .

[31]  Mark S. Gordon,et al.  Solvent-induced frequency shifts: configuration interaction singles combined with the effective fragment potential method. , 2010, The journal of physical chemistry. A.

[32]  A. Savin,et al.  On degeneracy, near-degeneracy and density functional theory , 1996 .

[33]  Hideaki E. Kato,et al.  Crystal structure of the channelrhodopsin light-gated cation channel , 2012, Nature.

[34]  H. Lischka,et al.  Multiconfiguration self-consistent field and multireference configuration interaction methods and applications. , 2012, Chemical reviews.

[35]  Trygve Helgaker,et al.  Four‐component relativistic Kohn–Sham theory , 2002, J. Comput. Chem..

[36]  F. Grozema,et al.  Solvent effects on the pi , 1998 .

[37]  L. Slipchenko,et al.  Solvation of the excited states of chromophores in polarizable environment: orbital relaxation versus polarization. , 2010, The journal of physical chemistry. A.

[38]  N. Maitra,et al.  Perspectives on double-excitations in TDDFT , 2011, 1101.3379.

[39]  Stefan Grimme,et al.  Parallel multireference configuration interaction calculations on mini-beta-carotenes and beta-carotene. , 2009, The Journal of chemical physics.

[40]  K. Mikkelsen,et al.  Coupled cluster calculation of the n --> pi* electronic transition of acetone in aqueous solution. , 2005, The journal of physical chemistry. A.

[41]  Pär Söderhjelm,et al.  How accurate can a force field become? A polarizable multipole model combined with fragment-wise quantum-mechanical calculations. , 2009, The journal of physical chemistry. A.

[42]  M. Levitt,et al.  Theoretical studies of enzymic reactions: dielectric, electrostatic and steric stabilization of the carbonium ion in the reaction of lysozyme. , 1976, Journal of molecular biology.

[43]  John M Herbert,et al.  A long-range-corrected density functional that performs well for both ground-state properties and time-dependent density functional theory excitation energies, including charge-transfer excited states. , 2009, The Journal of chemical physics.

[44]  Hans Jørgen Aagaard Jensen Electron Correlation in Molecules Using Direct Second Order MCSCF , 1994 .

[45]  N. Handy,et al.  A new hybrid exchange–correlation functional using the Coulomb-attenuating method (CAM-B3LYP) , 2004 .

[46]  Kenneth Ruud,et al.  GEN1INT: A unified procedure for the evaluation of one‐electron integrals over Gaussian basis functions and their geometric derivatives , 2011 .

[47]  T. Helgaker,et al.  Linear response at the 4-component relativistic density-functional level: application to the frequency-dependent dipole polarizability of Hg, AuH and PtH2 , 2005 .

[48]  C. Timmons,et al.  Solvent and substituent effects on the n → π* absorption bands of some ketones , 1965 .

[49]  Hans Ågren,et al.  A direct, restricted-step, second-order MC SCF program for large scale ab initio calculations , 1986 .

[50]  Vincenzo Barone,et al.  Solvent effects on the UV (n --> pi*) and NMR (13C and 17O) spectra of acetone in aqueous solution. An integrated car-parrinello and DFT/PCM approach. , 2005, The journal of physical chemistry. B.

[51]  Paweł Sałek,et al.  Density-functional theory of linear and nonlinear time-dependent molecular properties , 2002 .

[52]  Andreas Savin,et al.  Density functionals for the Yukawa electron-electron interaction , 1995 .

[53]  Emmanuel Fromager,et al.  Self-consistent many-body perturbation theory in range-separated density-functional theory : A one-electron reduced-density-matrix-based formulation , 2008 .

[54]  Luis Serrano-Andrés,et al.  Does density functional theory contribute to the understanding of excited states of unsaturated organic compounds , 1999 .

[55]  W. Hauswirth,et al.  Fluorescence of the Purine and Pyrimidine Bases of the Nucleic Acids in Neutral Aqueous Solution at 300�K , 1971, Science.

[56]  Jacob Kongsted,et al.  The polarizable embedding coupled cluster method. , 2011, Journal of Chemical Physics.

[57]  J. Kongsted,et al.  A Unified Framework for the Polarizable Embedding and Continuum Methods Within Multiconfigurational Self-consistent Field Theory , 2013 .

[58]  Julien Toulouse,et al.  On the universality of the long-/short-range separation in multiconfigurational density-functional theory. , 2007, The Journal of chemical physics.

[59]  J. Olsen,et al.  TIME-DEPENDENT RESPONSE THEORY WITH APPLICATIONS TO SELF-CONSISTENT FIELD AND MULTICONFIGURATIONAL SELF-CONSISTENT FIELD WAVE FUNCTIONS , 1995 .

[60]  G. Scuseria,et al.  Assessment of a long-range corrected hybrid functional. , 2006, The Journal of chemical physics.

[61]  J. R. Carl,et al.  Atom dipole interaction model for molecular polarizability. Application to polyatomic molecules and determination of atom polarizabilities , 1972 .

[62]  Poul Jo,et al.  A direct approach to second‐order MCSCF calculations using a norm extended optimization scheme , 1984 .

[63]  K. Burke Perspective on density functional theory. , 2012, The Journal of chemical physics.

[64]  FRANCESCO AQUILANTE,et al.  MOLCAS 7: The Next Generation , 2010, J. Comput. Chem..

[65]  Jacob Kongsted,et al.  Solvatochromic Shifts in Uracil: A Combined MD-QM/MM Study. , 2010, Journal of chemical theory and computation.

[66]  J. Olsen,et al.  Linear and nonlinear response functions for an exact state and for an MCSCF state , 1985 .

[67]  V. Barone,et al.  Computation of the acetone ultraviolet spectrum in gas phase and in aqueous solution by a mixed discrete/continuum model , 2003 .

[68]  Andreas Savin,et al.  van der Waals forces in density functional theory: Perturbational long-range electron-interaction corrections , 2005, cond-mat/0505062.

[69]  N. S. Bayliss,et al.  Solvent effects on the intensities of the weak ultraviolet spectra of ketones and nitroparaffins—I , 1968 .

[70]  Peter Hegemann,et al.  Monitoring Light-induced Structural Changes of Channelrhodopsin-2 by UV-visible and Fourier Transform Infrared Spectroscopy* , 2008, Journal of Biological Chemistry.

[71]  Jacob Kongsted,et al.  Density functional self-consistent quantum mechanics/molecular mechanics theory for linear and nonlinear molecular properties: Applications to solvated water and formaldehyde. , 2007, The Journal of chemical physics.

[72]  Jacob Kongsted,et al.  Damped Response Theory in Combination with Polarizable Environments: The Polarizable Embedding Complex Polarization Propagator Method. , 2014, Journal of chemical theory and computation.

[73]  J. K. Pedersen,et al.  Description of correlation and relativistic effects in calculations of molecular properties , 2004 .

[74]  Masaaki Fujii,et al.  Electronic spectra of uracil in a supersonic jet , 1986 .

[75]  Kieron Burke,et al.  Double excitations within time-dependent density functional theory linear response. , 2004, The Journal of chemical physics.

[76]  John Z. H. Zhang,et al.  Molecular fractionation with conjugate caps for full quantum mechanical calculation of protein-molecule interaction energy , 2003 .

[77]  Roi Baer,et al.  Tuned range-separated hybrids in density functional theory. , 2010, Annual review of physical chemistry.

[78]  Jógvan Magnus Haugaard Olsen,et al.  Computational screening of one- and two-photon spectrally tuned channelrhodopsin mutants. , 2013, Physical chemistry chemical physics : PCCP.

[79]  R. Cingolani,et al.  Optical properties of N-succinimidyl bithiophene and the effects of the binding to biomolecules: comparison between coupled-cluster and time-dependent density functional theory calculations and experiments. , 2006, The journal of physical chemistry. B.

[80]  Renzo Cimiraglia,et al.  Merging multireference perturbation and density-functional theories by means of range separation: Potential curves for Be 2 , Mg 2 , and Ca 2 , 2010 .

[81]  William L Jorgensen,et al.  Special Issue on Polarization. , 2007, Journal of chemical theory and computation.

[82]  J. Kongsted,et al.  Polarizable embedding based on multiconfigurational methods: Current developments and the road ahead , 2014 .

[83]  K. Hirao,et al.  A long-range correction scheme for generalized-gradient-approximation exchange functionals , 2001 .