An Ab Initio Exciton Model Including Charge-Transfer Excited States.

The Frenkel exciton model is a useful tool for theoretical studies of multichromophore systems. We recently showed that the exciton model could be used to coarse-grain electronic structure in multichromophoric systems, focusing on singly excited exciton states [ Acc. Chem. Res. 2014 , 47 , 2857 - 2866 ]. However, our previous implementation excluded charge-transfer excited states, which can play an important role in light-harvesting systems and near-infrared optoelectronic materials. Recent studies have also emphasized the significance of charge-transfer in singlet fission, which mediates the coupling between the locally excited states and the multiexcitonic states. In this work, we report on an ab initio exciton model that incorporates charge-transfer excited states and demonstrate that the model provides correct charge-transfer excitation energies and asymptotic behavior. Comparison with TDDFT and EOM-CC2 calculations shows that our exciton model is robust with respect to system size, screening parameter, and different density functionals. Inclusion of charge-transfer excited states makes the exciton model more useful for studies of singly excited states and provides a starting point for future construction of a model that also includes double-exciton states.

[1]  Benedetta Mennucci,et al.  Quantum Chemical Studies of Light Harvesting. , 2017, Chemical reviews.

[2]  H. Kulik,et al.  Global and local curvature in density functional theory. , 2016, The Journal of chemical physics.

[3]  Adrian F. Morrison,et al.  Low-Scaling Quantum Chemistry Approach to Excited-State Properties via an ab Initio Exciton Model: Application to Excitation Energy Transfer in a Self-Assembled Nanotube. , 2015, The journal of physical chemistry letters.

[4]  C. Isborn,et al.  Density-functional errors in ionization potential with increasing system size. , 2015, The Journal of chemical physics.

[5]  Weitao Yang,et al.  Local scaling correction for reducing delocalization error in density functional approximations. , 2015, Physical review letters.

[6]  John M Herbert,et al.  Ab Initio Implementation of the Frenkel-Davydov Exciton Model: A Naturally Parallelizable Approach to Computing Collective Excitations in Crystals and Aggregates. , 2014, Journal of chemical theory and computation.

[7]  Aaron Sisto,et al.  Ab initio nonadiabatic dynamics of multichromophore complexes: a scalable graphical-processing-unit-accelerated exciton framework. , 2014, Accounts of chemical research.

[8]  Kerry Garrett,et al.  Optimum Exchange for Calculation of Excitation Energies and Hyperpolarizabilities of Organic Electro-optic Chromophores. , 2014, Journal of chemical theory and computation.

[9]  Timothy C. Berkelbach,et al.  Microscopic theory of singlet exciton fission. III. Crystalline pentacene. , 2014, The Journal of chemical physics.

[10]  T. Martínez,et al.  Tensor hypercontraction equation-of-motion second-order approximate coupled cluster: electronic excitation energies in O(N4) time. , 2013, The journal of physical chemistry. B.

[11]  Robert M Parrish,et al.  Tensor hypercontraction. II. Least-squares renormalization. , 2012, The Journal of chemical physics.

[12]  Matthew L. Leininger,et al.  Psi4: an open‐source ab initio electronic structure program , 2012 .

[13]  Shahram Hejazi,et al.  Review of Long-Wavelength Optical and NIR Imaging Materials: Contrast Agents, Fluorophores and Multifunctional Nano Carriers. , 2012, Chemistry of materials : a publication of the American Chemical Society.

[14]  Leeor Kronik,et al.  Quasiparticle spectra from a nonempirical optimally tuned range-separated hybrid density functional. , 2012, Physical review letters.

[15]  Henry J. Snaith,et al.  The renaissance of dye-sensitized solar cells , 2012, Nature Photonics.

[16]  Weitao Yang,et al.  Challenges for density functional theory. , 2012, Chemical reviews.

[17]  T. Van Voorhis,et al.  Constrained density functional theory. , 2011, Chemical reviews.

[18]  Graham R Fleming,et al.  Lessons from nature about solar light harvesting. , 2011, Nature chemistry.

[19]  Lee-Ping Wang,et al.  Simulation of solution phase electron transfer in a compact donor-acceptor dyad. , 2011, The journal of physical chemistry. B.

[20]  Leeor Kronik,et al.  Fundamental and excitation gaps in molecules of relevance for organic photovoltaics from an optimally tuned range-separated hybrid functional , 2011 .

[21]  Christine M. Isborn,et al.  Excited-State Electronic Structure with Configuration Interaction Singles and Tamm–Dancoff Time-Dependent Density Functional Theory on Graphical Processing Units , 2011, Journal of chemical theory and computation.

[22]  M. Tsukada,et al.  Exciton Dissociation at Thiophene/Fullerene Interfaces: The Electronic Structures and Quantum Dynamics , 2011 .

[23]  Shane R. Yost,et al.  Assessment of the ΔSCF density functional theory approach for electronic excitations in organic dyes. , 2011, The Journal of chemical physics.

[24]  Tjerk P. Straatsma,et al.  NWChem: A comprehensive and scalable open-source solution for large scale molecular simulations , 2010, Comput. Phys. Commun..

[25]  Lee‐Ping Wang,et al.  The diabatic picture of electron transfer, reaction barriers, and molecular dynamics. , 2010, Annual review of physical chemistry.

[26]  Josef Michl,et al.  Singlet fission. , 2010, Chemical reviews.

[27]  Ivan S Ufimtsev,et al.  Quantum Chemistry on Graphical Processing Units. 3. Analytical Energy Gradients, Geometry Optimization, and First Principles Molecular Dynamics. , 2009, Journal of chemical theory and computation.

[28]  R. Baer,et al.  Reliable prediction of charge transfer excitations in molecular complexes using time-dependent density functional theory. , 2009, Journal of the American Chemical Society.

[29]  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.

[30]  Weitao Yang,et al.  Insights into Current Limitations of Density Functional Theory , 2008, Science.

[31]  Weitao Yang,et al.  Localization and delocalization errors in density functional theory and implications for band-gap prediction. , 2007, Physical review letters.

[32]  Exciton dissociation at donor-acceptor polymer heterojunctions: quantum nonadiabatic dynamics and effective-mode analysis. , 2006, The Journal of chemical physics.

[33]  Qin Wu,et al.  Direct calculation of electron transfer parameters through constrained density functional theory. , 2006, The journal of physical chemistry. A.

[34]  Todd J. Martínez,et al.  Conical intersections and double excitations in time-dependent density functional theory , 2006 .

[35]  Andreas Dreuw,et al.  Single-reference ab initio methods for the calculation of excited states of large molecules. , 2005, Chemical reviews.

[36]  T. Voorhis,et al.  Direct optimization method to study constrained systems within density-functional theory , 2005 .

[37]  David Beljonne,et al.  Charge-transfer and energy-transfer processes in pi-conjugated oligomers and polymers: a molecular picture. , 2004, Chemical reviews.

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

[39]  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.

[40]  N. Isaacs,et al.  The structural basis of light‐harvesting in purple bacteria , 2003, FEBS letters.

[41]  N. Isaacs,et al.  The structure and thermal motion of the B800-850 LH2 complex from Rps.acidophila at 2.0A resolution and 100K: new structural features and functionally relevant motions. , 2003, Journal of molecular biology.

[42]  K. Schulten,et al.  Robustness and Optimality of Light Harvesting in Cyanobacterial Photosystem I , 2002, physics/0207070.

[43]  Klaus Schulten,et al.  Excitons in a photosynthetic light-harvesting system: a combined molecular dynamics, quantum chemistry, and polaron model study. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[44]  V. Sundström,et al.  B800-->B850 energy transfer mechanism in bacterial LH2 complexes investigated by B800 pigment exchange. , 2000, Biophysical journal.

[45]  S. Mukamel,et al.  Exciton Hamiltonian for the Bacteriochlorophyll System in the LH2 Antenna Complex of Purple Bacteria , 2000 .

[46]  V. Barone,et al.  Toward reliable density functional methods without adjustable parameters: The PBE0 model , 1999 .

[47]  Nicholas C. Handy,et al.  Improving virtual Kohn-Sham orbitals and eigenvalues: Application to excitation energies and static polarizabilities , 1998 .

[48]  Dennis R. Salahub,et al.  Molecular excitation energies to high-lying bound states from time-dependent density-functional response theory: Characterization and correction of the time-dependent local density approximation ionization threshold , 1998 .

[49]  S. Mukamel,et al.  Electronic coherence and collective optical excitations of conjugated molecules , 1997 .

[50]  Burke,et al.  Generalized Gradient Approximation Made Simple. , 1996, Physical review letters.

[51]  Poul Jørgensen,et al.  The second-order approximate coupled cluster singles and doubles model CC2 , 1995 .

[52]  N. W. Isaacs,et al.  Crystal structure of an integral membrane light-harvesting complex from photosynthetic bacteria , 1995, Nature.

[53]  M. Frisch,et al.  Ab Initio Calculation of Vibrational Absorption and Circular Dichroism Spectra Using Density Functional Force Fields , 1994 .

[54]  John F. Stanton,et al.  The equation of motion coupled‐cluster method. A systematic biorthogonal approach to molecular excitation energies, transition probabilities, and excited state properties , 1993 .

[55]  A. Becke Density-functional thermochemistry. III. The role of exact exchange , 1993 .

[56]  Kerstin Andersson,et al.  Second-order perturbation theory with a CASSCF reference function , 1990 .

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

[58]  A. Becke,et al.  Density-functional exchange-energy approximation with correct asymptotic behavior. , 1988, Physical review. A, General physics.

[59]  Parr,et al.  Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density. , 1988, Physical review. B, Condensed matter.

[60]  W. R. Wadt,et al.  Ab initio effective core potentials for molecular calculations. Potentials for main group elements Na to Bi , 1985 .

[61]  E. Gross,et al.  Density-Functional Theory for Time-Dependent Systems , 1984 .

[62]  A. Zunger,et al.  Self-interaction correction to density-functional approximations for many-electron systems , 1981 .

[63]  Arvi Rauk,et al.  On the calculation of multiplet energies by the hartree-fock-slater method , 1977 .

[64]  E. Davidson The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices , 1975 .

[65]  P. C. Hariharan,et al.  The influence of polarization functions on molecular orbital hydrogenation energies , 1973 .

[66]  J. Frenkel On the Transformation of Light into Heat in Solids. II , 1931 .