Communication: orbital instabilities and triplet states from time-dependent density functional theory and long-range corrected functionals.

Long-range corrected hybrids represent an increasingly popular class of functionals for density functional theory (DFT) that have proven to be very successful for a wide range of chemical applications. In this Communication, we examine the performance of these functionals for time-dependent (TD)DFT descriptions of triplet excited states. Our results reveal that the triplet energies are particularly sensitive to the range-separation parameter; this sensitivity can be traced back to triplet instabilities in the ground state coming from the large effective amounts of Hartree-Fock exchange included in these functionals. As such, the use of standard long-range corrected functionals for the description of triplet states at the TDDFT level is not recommended.

[1]  Benjamin T. Miller,et al.  A parallel implementation of the analytic nuclear gradient for time-dependent density functional theory within the Tamm–Dancoff approximation , 1999 .

[2]  R. Ahlrichs,et al.  STABILITY ANALYSIS FOR SOLUTIONS OF THE CLOSED SHELL KOHN-SHAM EQUATION , 1996 .

[3]  R. Baer,et al.  Prediction of charge-transfer excitations in coumarin-based dyes using a range-separated functional tuned from first principles. , 2009, The Journal of chemical physics.

[4]  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.

[5]  Kimihiko Hirao,et al.  Polarizability and second hyperpolarizability evaluation of long molecules by the density functional theory with long-range correction. , 2007, The Journal of chemical physics.

[6]  Josef Paldus,et al.  Stability Conditions for the Solutions of the Hartree—Fock Equations for Atomic and Molecular Systems. Application to the Pi‐Electron Model of Cyclic Polyenes , 1967 .

[7]  Ryan M. Richard,et al.  Time-Dependent Density-Functional Description of the (1)La State in Polycyclic Aromatic Hydrocarbons: Charge-Transfer Character in Disguise? , 2011, Journal of chemical theory and computation.

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

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

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

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

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

[13]  I. Ciofini,et al.  Assessment of the ωB97 family for excited-state calculations , 2011 .

[14]  W. Adams Stability of Hartree-Fock States , 1962 .

[15]  R. Baer,et al.  A well-tempered density functional theory of electrons in molecules. , 2007, Physical chemistry chemical physics : PCCP.

[16]  Giovanni Scalmani,et al.  Assessment of the efficiency of long-range corrected functionals for some properties of large compounds. , 2007, The Journal of chemical physics.

[17]  Yi-Lei Wang,et al.  Improving the TDDFT calculation of low-lying excited states for polycyclic aromatic hydrocarbons using the Tamm–Dancoff approximation , 2008 .

[18]  F. Gadéa,et al.  Charge-transfer correction for improved time-dependent local density approximation excited-state potential energy curves: Analysis within the two-level model with illustration for H2 and LiH , 2000 .

[19]  Kimihiko Hirao,et al.  A NEW ONE-PARAMETER PROGRESSIVE COLLE-SALVETTI-TYPE CORRELATION FUNCTIONAL , 1999 .

[20]  Bryan M. Wong,et al.  Optoelectronic and Excitonic Properties of Oligoacenes: Substantial Improvements from Range-Separated Time-Dependent Density Functional Theory , 2010, Journal of chemical theory and computation.

[21]  M. Head‐Gordon,et al.  Excitation Energies from Time-Dependent Density Functional Theory for Linear Polyene Oligomers: Butadiene to Decapentaene , 2001 .

[22]  M. Head‐Gordon,et al.  Systematic optimization of long-range corrected hybrid density functionals. , 2008, The Journal of chemical physics.

[23]  R. Baer,et al.  Fundamental gaps in finite systems from eigenvalues of a generalized Kohn-Sham method. , 2010, Physical review letters.

[24]  Leeor Kronik,et al.  Charge-Transfer-Like π→π* Excitations in Time-Dependent Density Functional Theory: A Conundrum and Its Solution. , 2011, Journal of chemical theory and computation.

[25]  T. Helgaker,et al.  Spin–spin coupling constants and triplet instabilities in Kohn–Sham theory , 2010 .

[26]  Benjamin G. Janesko,et al.  Evaluation of range-separated hybrid density functionals for the prediction of vibrational frequencies, infrared intensities, and Raman activities. , 2008, Physical chemistry chemical physics : PCCP.

[27]  M. Head‐Gordon,et al.  Long-range corrected hybrid density functionals with damped atom-atom dispersion corrections. , 2008, Physical chemistry chemical physics : PCCP.

[28]  R. Ahlrichs,et al.  Treatment of electronic excitations within the adiabatic approximation of time dependent density functional theory , 1996 .

[29]  M. Petersilka,et al.  Excitation energies from time-dependent density-functional theory. , 1996 .

[30]  Shawn T. Brown,et al.  Advances in methods and algorithms in a modern quantum chemistry program package. , 2006, Physical chemistry chemical physics : PCCP.