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Title: Ultrafast Electronic Relaxation through a Conical Intersection: Nonadiabatic Dynamics Disentangled through an Oscillator Strength-Based Diabatization Framework

Journal Article · · Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory
ORCiD logo [1];  [1];  [1];  [2]
  1. Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Chemistry
  2. Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Chemistry; SLAC National Accelerator Lab., Menlo Park, CA (United States). Photon Ultrafast Laser Science and Engineering Inst. (PULSE)

Here, we employ surface hopping trajectories to model the short-time dynamics of gas-phase and partially solvated 4-(N,N-dimethylamino)benzonitrile (DMABN), a dual fluorescent molecule that is known to undergo a nonadiabatic transition through a conical intersection. To compare theory vs time-resolved fluorescence measurements, we calculate the mixed quantum–classical density matrix and the ensemble averaged transition dipole moment. We introduce a diabatization scheme based on the oscillator strength to convert the TDDFT adiabatic states into diabatic states of La and Lb character. Somewhat surprisingly, we find that the rate of relaxation reported by emission to the ground state is almost 50% slower than the adiabatic population relaxation. Although our calculated adiabatic rates are largely consistent with previous theoretical calculations and no obvious effects of decoherence are seen, the diabatization procedure introduced here enables an explicit picture of dynamics in the branching plane, raising tantalizing questions about geometric phase effects in systems with dozens of atoms.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE; National Science Foundation (NSF)
Grant/Contract Number:
CHE-1150851; AC02-76SF00515
OSTI ID:
1353188
Journal Information:
Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory, Vol. 121, Issue 7; ISSN 1089-5639
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 14 works
Citation information provided by
Web of Science

References (93)

The Green Fluorescent Protein journal June 1998
Illuminating Single Molecules in Condensed Matter journal March 1999
Singlet Fission journal November 2010
Photon upconversion based on sensitized triplet–triplet annihilation journal November 2010
Femtosecond dynamics of rubredoxin: Tryptophan solvation and resonance energy transfer in the protein journal December 2001
Structural Changes Accompanying Intramolecular Electron Transfer:  Focus on Twisted Intramolecular Charge-Transfer States and Structures journal October 2003
Molecular dynamics with electronic transitions journal July 1990
Multi-Electronic-State Molecular Dynamics:  A Wave Function Approach with Applications journal January 1996
Mixed quantum-classical dynamics journal May 1999
A multiple spawning approach to tunneling dynamics journal April 2000
Ab initio Ehrenfest dynamics journal August 2005
Symmetrical Windowing for Quantum States in Quasi-Classical Trajectory Simulations journal March 2013
Surface-hopping modeling of photoinduced relaxation dynamics on coupled potential-energy surfaces journal October 1997
The on-the-fly surface-hopping program system Newton-X: Application to ab initio simulation of the nonadiabatic photodynamics of benchmark systems journal August 2007
Implementation of surface hopping molecular dynamics using semiempirical methods journal June 2008
Dynamical Steering and Electronic Excitation in NO Scattering from a Gold Surface journal November 2009
Nonadiabatic Mixed Quantum−Classical Dynamic Simulation of π-Stacked Oligophenylenevinylenes journal April 2009
Non-adiabatic dynamics close to conical intersections and the surface hopping perspective journal November 2014
Dynamics of Energy Transfer in a Conjugated Dendrimer Driven by Ultrafast Localization of Excitations journal July 2015
Understanding the Surface Hopping View of Electronic Transitions and Decoherence journal May 2016
Recent Progress in Surface Hopping: 2011–2015 journal May 2016
Intramolecular Charge-Transfer Excited-State Processes in 4-( N , N -Dimethylamino)benzonitrile: The Role of Twisting and the πσ* State journal May 2015
Fluorescence excitation spectra of jet-cooled 4-(diisopropylamino)benzonitrile and related compounds journal June 2001
Intramolecular Charge Transfer with 1- tert -Butyl-6-cyano-1,2,3,4-tetrahydroquinoline (NTC6) and Other Aminobenzonitriles. A Comparison of Experimental Vapor Phase Spectra and Crystal Structures with Calculations journal May 2010
Theoretical Study of the Internal Charge Transfer in Aminobenzonitriles journal March 1995
Ab Initio Investigation of Reaction Pathways for Intramolecular Charge Transfer in Dimethylanilino Derivatives journal March 1998
Ab Initio Study of the Electronic Excited States in 4-( N , N -Dimethylamino)benzonitrile with Inclusion of Solvent Effects:  The Internal Charge Transfer Process journal November 2000
Photoinduced Intramolecular Charge Transfer in 4-(Dimethyl)aminobenzonitrile − A Theoretical Perspective journal February 2004
On the Nature of the Low-Lying Singlet States of 4-(Dimethyl-amino)benzonitrile journal May 2004
Classification of Spectra of Cata‐Condensed Hydrocarbons journal May 1949
Theory of photoinduced twisting dynamics in polar solvents: application to dimethylaminobenzonitrile in propanol at low temperatures journal February 1991
Excited state intramolecular charge transfer rates of p-dirnethylaminobenzonitrile (DMABN) in solution: a two-dimensional dynamics perspective journal May 1997
Picosecond Time-Resolved Study of 4-Dimethylaminobenzonitrile in Polar and Nonpolar Solvents journal April 2000
Molecular-dynamics simulations of solvent effects in the intramolecular charge transfer of 4-(N,N-dimethylamino)benzonitrile journal January 2000
Intramolecular charge transfer and dual fluorescence of 4-(dimethylamino)benzonitrile: ultrafast branching followed by a two-fold decay mechanism journal January 2011
Multifaceted Ultrafast Intramolecular Charge Transfer Dynamics of 4-(Dimethylamino)benzonitrile (DMABN) journal January 2013
Insight into the Mechanisms of Luminescence of Aminobenzonitrile and Dimethylaminobenzonitrile in Polar Solvents. An ab Initio Study journal February 2015
Umwandlung von Elektronenanregungsenergie journal November 1961
Ultrafast charge transfer via a conical intersection in dimethylaminobenzonitrile journal February 2002
Coherent oscillations in the charge-transfer system 4-dimethylamino-benzonitrile journal July 2003
Ultrafast relaxation and coherent oscillations in aminobenzonitriles in the gas phase probed by intense-field ionization journal January 2007
Intramolecular charge transfer and thermal exciplex dissociation with p-aminobenzonitriles in toluene journal March 1991
Structure and Picosecond Excited-States Dynamics in Isolated, Supercooled 4-( N , N -Dimethylamino)benzonitrile journal April 1999
Early Events in the Nonadiabatic Relaxation Dynamics of 4-( N , N -Dimethylamino)benzonitrile journal February 2015
An On-the-Fly Surface-Hopping Program JADE for Nonadiabatic Molecular Dynamics of Polyatomic Systems: Implementation and Applications journal March 2015
Quantum decoherence in mixed quantum‐classical systems: Nonadiabatic processes journal November 1995
Improvement of the Internal Consistency in Trajectory Surface Hopping journal November 1999
Electronically nonadiabatic trajectories: Continuous surface switching II journal February 2001
Quantum decoherence and the isotope effect in condensed phase nonadiabatic molecular dynamics simulations journal April 1996
Mean-field dynamics with stochastic decoherence (MF-SD): A new algorithm for nonadiabatic mixed quantum/classical molecular-dynamics simulations with nuclear-induced decoherence journal December 2005
Including quantum decoherence in surface hopping journal October 2010
Nonadiabatic excited-state molecular dynamics: Treatment of electronic decoherence journal June 2013
Semiclassical-limit molecular dynamics on multiple electronic surfaces journal March 1997
Mixing quantum and classical mechanics journal July 1997
Simulation of Coherent Nonadiabatic Dynamics Using Classical Trajectories journal June 1998
Mixed quantum-classical surface hopping dynamics journal April 2000
Dissipative dynamics in many-atom systems: A density matrix treatment journal January 2002
Can we derive Tully's surface-hopping algorithm from the semiclassical quantum Liouville equation? Almost, but only with decoherence journal December 2013
A new approach to decoherence and momentum rescaling in the surface hopping algorithm journal January 2011
Simultaneous-trajectory surface hopping: A parameter-free algorithm for implementing decoherence in nonadiabatic dynamics journal April 2011
How to recover Marcus theory with fewest switches surface hopping: Add just a touch of decoherence journal December 2012
An Efficient, Augmented Surface Hopping Algorithm That Includes Decoherence for Use in Large-Scale Simulations journal October 2016
Proton transfer in solution: Molecular dynamics with quantum transitions journal September 1994
Evaluation of the Time-Derivative Coupling for Accurate Electronic State Transition Probabilities from Numerical Simulations journal June 2014
Conditions for the definition of a strictly diabatic electronic basis for molecular systems journal December 1982
Localized Atomic and Molecular Orbitals journal July 1963
MCSCF study of the avoided curve crossing of the two lowest 1 Σ + states of LiF journal May 1981
Generalization of the Mulliken-Hush treatment for the calculation of electron transfer matrix elements journal January 1996
Calculation of electronic coupling matrix elements for ground and excited state electron transfer reactions: Comparison of the generalized Mulliken–Hush and block diagonalization methods journal June 1997
Determination of diabatic states through enforcement of configurational uniformity
  • Atchity, Gregory J.; Ruedenberg, Klaus
  • Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta), Vol. 97, Issue 1-4 https://doi.org/10.1007/s002140050236
journal October 1997
Approximately diabatic states from block diagonalization of the electronic Hamiltonian journal December 1988
Constructing diabatic states from adiabatic states: Extending generalized Mulliken–Hush to multiple charge centers with Boys localization journal December 2008
The Diabatic Picture of Electron Transfer, Reaction Barriers, and Molecular Dynamics journal March 2010
Direct diabatization of electronic states by the fourfold-way: Including dynamical correlation by multi-configuration quasidegenerate perturbation theory with complete active space self-consistent-field diabatic molecular orbitals journal June 2013
Block diagonalization of the equation-of-motion coupled cluster effective Hamiltonian: Treatment of diabatic potential constants and triple excitations journal June 2014
Diabatization based on the dipole and quadrupole: The DQ method journal September 2014
On the Construction of Property Based Diabatizations: Diabolical Singular Points journal October 2015
Block-diagonalization as a tool for the robust diabatization of high-dimensional potential energy surfaces journal March 2016
Analysis of Electronic Transitions as the Difference of Electron Attachment and Detachment Densities journal September 1995
Systematic optimization of long-range corrected hybrid density functionals journal February 2008
Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen journal January 1989
Nosé–Hoover chains: The canonical ensemble via continuous dynamics journal August 1992
Communication: The correct interpretation of surface hopping trajectories: How to calculate electronic properties journal December 2013
Ab Initio Multiple Spawning Photochemical Dynamics of DMABN Using GPUs journal December 2016
Intramolecular Charge Transfer in 4-Aminobenzonitriles Does Not Necessarily Need the Twist journal May 2005
Catching Conical Intersections in the Act: Monitoring Transient Electronic Coherences by Attosecond Stimulated X-Ray Raman Signals journal November 2015
Real-Time Probing of Electron Dynamics Using Attosecond Time-Resolved Spectroscopy journal May 2016
Studies of the Jahn-Teller effect .II. The dynamical problem
  • Longuet-Higgins, Hugh Christopher; Öpik, U.; Lecorney Pryce, Maurice Henry
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 244, Issue 1236, p. 1-16 https://doi.org/10.1098/rspa.1958.0022
journal February 1958
Quantal Phase Factors Accompanying Adiabatic Changes journal March 1984
Geometric phase effects in low-energy dynamics near conical intersections: A study of the multidimensional linear vibronic coupling model journal December 2013
Wave function continuity and the diagonal Born-Oppenheimer correction at conical intersections journal May 2016
Why Do Mixed Quantum-Classical Methods Describe Short-Time Dynamics through Conical Intersections So Well? Analysis of Geometric Phase Effects journal March 2015
When do we need to account for the geometric phase in excited state dynamics? journal June 2014

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