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A comparative study of the performance of some density functionals for vibronic spectra

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Abstract

Computed vibronic spectra of four molecules, tetracene, octatetraene, anthracene and pyrene are compared to the experimental spectra with a view to determine the functional that can give the best description. Using a statistical analysis, it is found that M06-2X is best suited for reproducing the 0-0 transition energy while PBE0 and M06 are the best suited functionals for predicting the vibrational frequencies. All the functionals perform equally well in predicting the intensities of vibronic transitions.

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References

  1. Sharp T E and Rosenstock H M 1964 Franck–Condon Factors for Polyatomic Molecules J. Chem. Phys.  41 3453

    Article  CAS  Google Scholar 

  2. Botter R, Dibeler V H, Walker J A and Rosenstock H M 1966 Experimental and Theoretical Studies of Photoionization-Efficiency Curves for \({\rm C}_{2}{\rm H}_{2}\) and \({\rm C}_{2}{\rm D}_{2}\) J. Chem. Phys.  44 1271

    Article  CAS  Google Scholar 

  3. Doktorov E V, Malkin I A and Manko V I 1975 Dynamical Symmetry of Vibronic Transitions in Polyatomic Molecules and the Franck–Condon Principle J. Mol. Spectrosc.  56 1

  4. Doktorov E V, Malkin I A and Manko V I 1977 Dynamical Symmetry of Vibronic Transitions in Polyatomic Molecules and the Franck–Condon Principle J. Mol. Spectrosc. 64 302

    Article  Google Scholar 

  5. Ruhoff P T 1994 Recursion Relations for Multi-Dimensional Franck–Condon Overlap Integrals Chem. Phys. 186 355

    Article  CAS  Google Scholar 

  6. Gruner D and Brumer P A 1996 Genetic Algorithm Approach to Fitting Polyatomic Spectra via Geometry Shifts Chem. Phys. Lett. 261 612

    Article  Google Scholar 

  7. Hazra A, Chang H H and Nooijen M 2004 First Principles Simulation of the UV Absorption Spectrum of Ethylene Using the Vertical Franck–Condon Approach J. Chem. Phys. 121 2125

    Article  Google Scholar 

  8. Hazra A and Nooijen M 2003 Derivation and Efficient Implementation of A Recursion Formula to Calculate Harmonic Franck–Condon Factors for Polyatomic Molecules Int. J. Quantum. Chem. 95 643

    Article  CAS  Google Scholar 

  9. Barone V, Bloino J, Biczysko M and Santoro F 2009 Fully Integrated Approach to Compute Vibrationally Resolved Optical Spectra: From Small Molecules to Macrosystems J. Chem. Theory Comput. 5 540

    Article  CAS  Google Scholar 

  10. Borrelli R, Capobianco A and Peluso A 2012 Generating Function Approach to the Calculation of Spectral Band Shapes of Free-Base Chlorin Including Duschinsky and HerzbergTeller Effects J. Phys. Chem. A 116 9934

    Article  CAS  Google Scholar 

  11. Avila F J, Cerezo J, Stendardo E, Improta R and Santoro F 2013 Insights for an Accurate Comparison of Computational Data to Experimental Absorption and Emission Spectra: Beyond the Vertical Transition Approximation J. Chem. Theory Comput. 9 2072

    Article  Google Scholar 

  12. Ruhoff P T and Ratner M A 2000 Algorithms for Computing Franck–Condon Overlap Integrals Int. J. Quantum Chem. 77 383

    Article  CAS  Google Scholar 

  13. Weber J O and Hohlneicher G 2003 Franck-Condon Factors for Polyatomic Molecules Mol. Phys. 101 2125

    Article  CAS  Google Scholar 

  14. Callis R P, Vivian J T and Slater L S 1995 Ab Initio Calculations of Vibronic Spectra for Indole Chem. Phys. Lett. 244 53

    Article  CAS  Google Scholar 

  15. Patwari G N, Wategaonkar S and Prasad M D 2001 Franck-Condon Spectral Calculations on Trans-Hydroquinone Chem. Phys. Lett. 344 229

    Article  CAS  Google Scholar 

  16. Loring R F, Yan Y J and Mukamel S 1985 Generating Function for Electronic Spectra of Polyatomic Molecules J. Phys. Chem. 89 201

    Article  Google Scholar 

  17. Heller E J 1981 The Semiclassical Way to Molecular Spectroscopy Acc. Chem. Res. 14 368

    Article  CAS  Google Scholar 

  18. Prasad M D 1988 Timedependent Coupled Cluster Method: A New Approach to the Calculation of Molecular Absorption Spectra J. Chem. Phys. 88 7005

    Article  CAS  Google Scholar 

  19. Pollak E and He Y 2001 Theory and Control of Thermal Photoinduced Electron Transfer Reactions in Polyatomic Molecules J. Phys. Chem. B 105 6500

    Article  CAS  Google Scholar 

  20. Cerezo J, Zuniga J, Requena A, Ferrer J A and Santoro F 2013 Harmonic Models in Cartesian and Internal Coordinates to Simulate the Absorption Spectra of Carotenoids at Finite Temperatures J. Chem. Theory Comput. 9 4947

    Article  CAS  Google Scholar 

  21. Lax M 1952 The Franck–Condon Principle and Its Application to Crystals J. Chem. Phys. 20 1752

    Article  CAS  Google Scholar 

  22. Kubo R and Thoyajowa Y 1955 Application of the Method of Generating Function to Radiative and Non-Radiative Transitions of a Trapped Electron in a Crystal Prog. Theor. Phys. 13 160

    Article  Google Scholar 

  23. Reddy C S and Prasad M D 2015 Finite Temperature Vibronic Spectra of Harmonic Surfaces: A Time-Dependent Coupled Cluster Approach Mol. Phys. 113 3023

    Article  CAS  Google Scholar 

  24. Sridhar Reddy Ch and Durga Prasad M 2016 A Gaussian Wave Packet Propagation Approach to Vibrationally Resolved Optical Spectra at Non-Zero Temperatures J. Phys. Chem. A 120 2583

    Article  Google Scholar 

  25. Baiardi A, Bloino J and Barone V 2013 General Time Dependent Approach to Vibronic Spectroscopy Including Franck-Condon, Herzberg-Teller, and Duschinsky Effects J. Chem. Theory Comput. 9 4097

  26. Niu Y, Peng Q, Deng C, Gao X and Shuai X 2010 Theory of Excited State Decays and Optical Spectra: Application to Polyatomic Molecules J. Phys. Chem. A 114 7817

    Article  CAS  Google Scholar 

  27. Berger R, Fischer C and Klessinger M 1998 Calculation of the Vibronic Fine Structure in Electronic Spectra at Higher Temperatures. 1. Benzene and Pyrazine J. Phys. Chem. A 102 7157

    Article  CAS  Google Scholar 

  28. Yan Y J and Mukamel S 1987 Molecular Fluorescence and Near Resonance Raman Yield as a Probe for Solvation Dynamics J. Chem. Phys. 86 6085

    Article  CAS  Google Scholar 

  29. Hajime T and Mitsuo T 1994 Analysis of the absorption spectrum \((1^{1}B_{u} \longleftarrow 1^{1}A_{g})\) and resonance Raman excitation profiles of trans1,3,5 hexatriene based on ab initio molecular orbital calculations J. Chem. Phys. 101 4496

    Article  Google Scholar 

  30. Francesco Z 1995 Franck-Condon Modeling of the Structure of the 1Ag-1Bu Electronic Transition of .alpha.,.omega. Diphenylpolyenes J. Am. Chem. Soc. 117 1621

    Article  Google Scholar 

  31. Jacquemin D, Planchat A, Adamo C and Mennucci B 2012 TD-DFT Assessment of Functionals for Optical 0-0 Transitions in Solvated Dyes J. Chem. Theory Comput. 8 2359

    Article  CAS  Google Scholar 

  32. Charaf-Eddin A, Planchat A, Mennucci B, Adamo C and Jacquemin D 2013 Choosing a Functional for Computing Absorption and Fluorescence Band Shapes with TD-DFT J. Chem. Theory Comput. 9 2749

  33. Dierksen M and Grimme S 2004 The Vibronic Structure of Electronic Absorption Spectra of Large Molecules: A Time-Dependent Density Functional Study on the Influence of “Exact” Hartree-Fock Exchange J. Phys. Chem. A \(\varvec {108}\) 10225

    Article  CAS  Google Scholar 

  34. Dierksen M and Grimme S 2004 Density Functional Calculations of the Vibronic Structure of Electronic Absorption Spectra J. Chem. Phys. 120 3544

    Article  CAS  Google Scholar 

  35. Muniz-Miranda F, Pedone A, Battisteli G, Montali M, Bloino J and Barone V 2015 Benchmarking TD-DFt against Vibrationally Resolved Absorption Spectra at Room Temperature: 7-Aminocoumarins as Test Cases J. Chem. Theory Comput. 11 5371

    Article  CAS  Google Scholar 

  36. Leopoid D G, Vaida V and Granville M F 1984 Direct Absorption Spectroscopy of Jet-Cooled Polyenes. The \(11B + u \leftarrow 11A-g\) transition of trans-1,3,5,7-Octatetraene J. Chem. Phys. 81 4210

    Article  Google Scholar 

  37. Gavin R M, Weisman C, McVey J K and Rice S A 1978 Spectroscopic properties of polyenes. III. 1,3,5,7-Octatetraene J. Chem. Phys. 68 522

    Article  CAS  Google Scholar 

  38. Fielding P E and Mackay A G 1964 Vapour Phase Spectrum and Enthalpy of Sublimation of Naphthacene Aust. J. Chem. 17 1288

    CAS  Google Scholar 

  39. Heller E J 1975 Time-Dependent Approach to Semiclassical Dynamics J. Chem. Phys. 62 1544

    Article  CAS  Google Scholar 

  40. Silva A F, Soares D X, Faria S H D M and Bruns R E 2012 Basis set selection for the calculation of the IR fundamental intensities for \(1,1-C_{2}H_{2}F_{2}\, \text{ and }\, F_{2}CO\) J. Mol. Struct. 1009 49

    Article  CAS  Google Scholar 

  41. Frisch M J, Trucks G W, Schlegel H B, Scuseria G E, Robb M A, Cheeseman J R, Scalmani G, Barone V, Mennucci B, Petersson G A, Nakatsuji H, Caricato M, Li X, Hratchian H P, Izmaylov A F, Bloino J, Zheng G, Sonnenberg J L, Hada M, Ehara M, Toyota K, Fukuda R, Hasegawa J, Ishida M, Nakajima T, Honda Y, Kitao O, Nakai H, Vreven T, Montgomery J A, Peralta Jr J E, Ogliaro F, Bearpark M, Heyd J J, Brothers E, Kudin K N, Staroverov V N, Keith T, Kobayashi R, Normand J, Raghavachari K, Rendell A, Burant J C, Iyengar S S, Tomas i J, Cossi M, Rega N, Millam J M, Klene M, Knox J E, Crossi J B, Bakken V, Adamo C, Jaramillo J, Gomperts R, Stratmann R E, Yazyev O, Austin A J, Cammi R, Pomelli C, Ochterski J W, Martin R L, Morokuma K, Zakrzewski V G, Voth G A, Salvador P, Dannenberg J J, Dapprich S, Daniels A D, Farkas O, Foresman J B, Ortiz J V, Cioslowski J and Fox D J 2009 Gaussian 09 , Revision C.01; Gaussian Inc., Wallingford CT

  42. Avila F J, Improta R and Santoro F 2012 Comparison of Vertical and Adiabatic Harmonic Approaches for the Calculation of the Vibrational Structure of Electronic Spectra Phys. Chem. Chem. Phys. 14 13549

    Article  Google Scholar 

  43. Parac M and Grimme S 2003 A TDDFT Study of the Lowest Excitation Energies of Polycyclic Aromatic Hydrocarbons Chem. Phys. 292 11

    Article  CAS  Google Scholar 

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Acknowledgements

Ch. Sridhar Reddy Acknowledges gratefully a sustaining fellowship from UGC and DST (JC Bose fellowship). Financial support from DST (PURSE, HPCF, FIST and IYC programs) and UGC (UPE and CAS pograms) is gratefully acknowledged.

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Correspondence to M Durga Prasad.

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Dedicated to the memory of the late Professor Charusita Chakravarty.

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Reddy, C.S., Prasad, M.D. A comparative study of the performance of some density functionals for vibronic spectra. J Chem Sci 129, 953–961 (2017). https://doi.org/10.1007/s12039-017-1309-z

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  • DOI: https://doi.org/10.1007/s12039-017-1309-z

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