Nonadiabatic Molecular Dynamics Simulations Based on Time-Dependent Density Functional Tight-Binding Method
Abstract
Nonadiabatic excited-state molecular dynamics underpin many photophysical and photochemical phenomena, such as exciton dynamics, charge separation and transport. In this work, we present an efficient nonadiabatic molecular dynamic (NAMD) simulation method based on time-dependent density functional tight-binding (TDDFTB) theory. Specifically, the adiabatic electronic structure, an essential NAMD input, is described at the TDDFTB level. Here, the nonadiabatic effects originating from the coupled motions of electrons and nuclei are treated by the trajectory surface hopping algorithm. To improve the computational efficiency, nonadiabatic couplings between excited states within the TDDFTB method are derived and implemented using an analytical approach. Further, the time-dependent nonadiabatic coupling scalars are calculated based on the overlap between molecular orbitals rather than the Slater determinants to speed up the simulations. In addition, the electronic decoherence scheme and a state reassigned unavoided crossings algorithm, which has been implemented in the NEXMD software, are used to improve the accuracy of the simulated dynamics and handle trivial unavoided crossings. Finally, the photoinduced nonadiabatic dynamics of a benzene molecule are simulated to demonstrate our implementation. The results for excited state NAMD simulations of benzene molecule based on TDDFTB method compare well that obtained with numerically expensive time-dependent density functional theory. The proposedmore »
- Authors:
-
- Shenzhen JL Computational Science and Applied Research Institute (China)
- Huaiyin Normal Univ., Huaian (China)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Shenzhen JL Computational Science and Applied Research Institute (China); Beijing Computational Science Research Center (China); Univ. of Bremen (Germany)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division; USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division; National Natural Science Foundation of China (NSFC); Guangdong Shenzhen Joint Key Fund; Shenzhen Basic Research Fund; Sino-German Mobility Program
- OSTI Identifier:
- 1879390
- Report Number(s):
- LA-UR-21-32095
Journal ID: ISSN 0021-9606; TRN: US2308121
- Grant/Contract Number:
- 89233218CNA000001; KC0301030; KC030103172684; SC0019484; 22073007; U1930402; 2019B1515120045; JCYJ20190813164805689; M-0215
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Chemical Physics
- Additional Journal Information:
- Journal Volume: 157; Journal Issue: 8; Journal ID: ISSN 0021-9606
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Non-adiabatic molecular dynamics; Density functional tight-binding
Citation Formats
Wu, Xiaoyan, Wen, Shizheng, Song, Huajing, Frauenheim, Thomas, Tretiak, Sergei, Yam, ChiYung, and Zhang, Yu. Nonadiabatic Molecular Dynamics Simulations Based on Time-Dependent Density Functional Tight-Binding Method. United States: N. p., 2022.
Web. doi:10.1063/5.0100339.
Wu, Xiaoyan, Wen, Shizheng, Song, Huajing, Frauenheim, Thomas, Tretiak, Sergei, Yam, ChiYung, & Zhang, Yu. Nonadiabatic Molecular Dynamics Simulations Based on Time-Dependent Density Functional Tight-Binding Method. United States. https://doi.org/10.1063/5.0100339
Wu, Xiaoyan, Wen, Shizheng, Song, Huajing, Frauenheim, Thomas, Tretiak, Sergei, Yam, ChiYung, and Zhang, Yu. Tue .
"Nonadiabatic Molecular Dynamics Simulations Based on Time-Dependent Density Functional Tight-Binding Method". United States. https://doi.org/10.1063/5.0100339. https://www.osti.gov/servlets/purl/1879390.
@article{osti_1879390,
title = {Nonadiabatic Molecular Dynamics Simulations Based on Time-Dependent Density Functional Tight-Binding Method},
author = {Wu, Xiaoyan and Wen, Shizheng and Song, Huajing and Frauenheim, Thomas and Tretiak, Sergei and Yam, ChiYung and Zhang, Yu},
abstractNote = {Nonadiabatic excited-state molecular dynamics underpin many photophysical and photochemical phenomena, such as exciton dynamics, charge separation and transport. In this work, we present an efficient nonadiabatic molecular dynamic (NAMD) simulation method based on time-dependent density functional tight-binding (TDDFTB) theory. Specifically, the adiabatic electronic structure, an essential NAMD input, is described at the TDDFTB level. Here, the nonadiabatic effects originating from the coupled motions of electrons and nuclei are treated by the trajectory surface hopping algorithm. To improve the computational efficiency, nonadiabatic couplings between excited states within the TDDFTB method are derived and implemented using an analytical approach. Further, the time-dependent nonadiabatic coupling scalars are calculated based on the overlap between molecular orbitals rather than the Slater determinants to speed up the simulations. In addition, the electronic decoherence scheme and a state reassigned unavoided crossings algorithm, which has been implemented in the NEXMD software, are used to improve the accuracy of the simulated dynamics and handle trivial unavoided crossings. Finally, the photoinduced nonadiabatic dynamics of a benzene molecule are simulated to demonstrate our implementation. The results for excited state NAMD simulations of benzene molecule based on TDDFTB method compare well that obtained with numerically expensive time-dependent density functional theory. The proposed methodology provides an attractive theoretical simulation tool for predicting the photophysical and photochemical properties of complex materials.},
doi = {10.1063/5.0100339},
journal = {Journal of Chemical Physics},
number = 8,
volume = 157,
place = {United States},
year = {Tue Jul 19 00:00:00 EDT 2022},
month = {Tue Jul 19 00:00:00 EDT 2022}
}
Works referenced in this record:
Detailed Dynamics of the Nonradiative Deactivation of Adenine: A Semiclassical Dynamics Study
journal, August 2008
- Lei, Yibo; Yuan, Shuai; Dou, Yusheng
- The Journal of Physical Chemistry A, Vol. 112, Issue 37
First-order nonadiabatic couplings from time-dependent hybrid density functional response theory: Consistent formalism, implementation, and performance
journal, January 2010
- Send, Robert; Furche, Filipp
- The Journal of Chemical Physics, Vol. 132, Issue 4
Nonadiabatic Molecular Dynamics Simulation of Charge Separation and Recombination at a WS2/QD Heterojunction
journal, March 2018
- Wei, Yaqing; Fang, Wei-Hai; Fang, Qiu
- The Journal of Physical Chemistry C, Vol. 122, Issue 13
The PYXAID Program for Non-Adiabatic Molecular Dynamics in Condensed Matter Systems
journal, October 2013
- Akimov, Alexey V.; Prezhdo, Oleg V.
- Journal of Chemical Theory and Computation, Vol. 9, Issue 11
Nonadiabatic dynamics with spin-flip vs linear-response time-dependent density functional theory: A case study for the protonated Schiff base C5H6NH2+
journal, September 2021
- Zhang, Xing; Herbert, John M.
- The Journal of Chemical Physics, Vol. 155, Issue 12
Fast Numerical Evaluation of Time-Derivative Nonadiabatic Couplings for Mixed Quantum–Classical Methods
journal, October 2015
- Ryabinkin, Ilya G.; Nagesh, Jayashree; Izmaylov, Artur F.
- The Journal of Physical Chemistry Letters, Vol. 6, Issue 21
UFF, a full periodic table force field for molecular mechanics and molecular dynamics simulations
journal, December 1992
- Rappe, A. K.; Casewit, C. J.; Colwell, K. S.
- Journal of the American Chemical Society, Vol. 114, Issue 25, p. 10024-10035
On the Quantum Correction For Thermodynamic Equilibrium
journal, June 1932
- Wigner, E.
- Physical Review, Vol. 40, Issue 5
Nonadiabatic Molecular Dynamics Modeling of the Intrachain Charge Transport in Conjugated Diketopyrrolo-pyrrole Polymers
journal, March 2014
- Gao, Xing; Geng, Hua; Peng, Qian
- The Journal of Physical Chemistry C, Vol. 118, Issue 13
First-order nonadiabatic coupling matrix elements between excited states: A Lagrangian formulation at the CIS, RPA, TD-HF, and TD-DFT levels
journal, July 2014
- Li, Zhendong; Liu, Wenjian
- The Journal of Chemical Physics, Vol. 141, Issue 1
First Principles Nonadiabatic Excited-State Molecular Dynamics in NWChem
journal, August 2020
- Song, Huajing; Fischer, Sean A.; Zhang, Yu
- Journal of Chemical Theory and Computation, Vol. 16, Issue 10
Mechanistic Studies of Plasmon Chemistry on Metal Catalysts
journal, February 2019
- Kazuma, Emiko; Kim, Yousoo
- Angewandte Chemie International Edition, Vol. 58, Issue 15
Non-adiabatic molecular dynamics investigation of the size dependence of the electronic relaxation in polyacenes
journal, January 2019
- Posenitskiy, Evgeny; Rapacioli, Mathias; Lepetit, Bruno
- Physical Chemistry Chemical Physics, Vol. 21, Issue 23
Unphysical divergences in response theory
journal, October 2016
- Parker, Shane M.; Roy, Saswata; Furche, Filipp
- The Journal of Chemical Physics, Vol. 145, Issue 13
Visible-light-enhanced catalytic oxidation reactions on plasmonic silver nanostructures
journal, May 2011
- Christopher, Phillip; Xin, Hongliang; Linic, Suljo
- Nature Chemistry, Vol. 3, Issue 6
Automated Search for Minimum Energy Conical Intersection Geometries between the Lowest Two Singlet States S 0 /S 1 -MECIs by the Spin-Flip TDDFT Method
journal, August 2013
- Harabuchi, Yu; Maeda, Satoshi; Taketsugu, Tetsuya
- Journal of Chemical Theory and Computation, Vol. 9, Issue 9
PySpawn: Software for Nonadiabatic Quantum Molecular Dynamics
journal, July 2020
- Fedorov, Dmitry A.; Seritan, Stefan; Fales, B. Scott
- Journal of Chemical Theory and Computation, Vol. 16, Issue 9
Adiabatic time-dependent density functional methods for excited state properties
journal, October 2002
- Furche, Filipp; Ahlrichs, Reinhart
- The Journal of Chemical Physics, Vol. 117, Issue 16
A perspective on the CASPT2 method
journal, April 2011
- Pulay, Peter
- International Journal of Quantum Chemistry, Vol. 111, Issue 13
TD-DFT and TD-DFTB Investigation of the Optical Properties and Electronic Structure of Silver Nanorods and Nanorod Dimers
journal, June 2018
- Alkan, Fahri; Aikens, Christine M.
- The Journal of Physical Chemistry C, Vol. 122, Issue 41
Non-adiabatic Excited-State Molecular Dynamics: Theory and Applications for Modeling Photophysics in Extended Molecular Materials
journal, February 2020
- Nelson, Tammie R.; White, Alexander J.; Bjorgaard, Josiah A.
- Chemical Reviews, Vol. 120, Issue 4
Decoherence-induced surface hopping
journal, December 2012
- Jaeger, Heather M.; Fischer, Sean; Prezhdo, Oleg V.
- The Journal of Chemical Physics, Vol. 137, Issue 22
Real-Time Electron Dynamics Study of Plasmon-Mediated Photocatalysis on an Icosahedral Al 13 –1 Nanocluster
journal, May 2021
- Pandeya, Pratima; Aikens, Christine M.
- The Journal of Physical Chemistry A, Vol. 125, Issue 22
Relevance of Electron-Driven Proton-Transfer Processes for the Photostability of Proteins
journal, February 2006
- Sobolewski, Andrzej L.; Domcke, Wolfgang
- ChemPhysChem, Vol. 7, Issue 3
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
- Barbatti, Mario; Granucci, Giovanni; Persico, Maurizio
- Journal of Photochemistry and Photobiology A: Chemistry, Vol. 190, Issue 2-3
Nonadiabatic dynamics: The SHARC approach
journal, May 2018
- Mai, Sebastian; Marquetand, Philipp; González, Leticia
- Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 8, Issue 6
Perspective: Nonadiabatic dynamics theory
journal, December 2012
- Tully, John C.
- The Journal of Chemical Physics, Vol. 137, Issue 22
Direct minimization in mc scf theory. the quasi-newton method
journal, October 1981
- Eade, Richard H. A.; Robb, Michael A.
- Chemical Physics Letters, Vol. 83, Issue 2
Surface-Plasmon-Driven Hot Electron Photochemistry
journal, November 2017
- Zhang, Yuchao; He, Shuai; Guo, Wenxiao
- Chemical Reviews, Vol. 118, Issue 6
Parametrization and Benchmark of DFTB3 for Organic Molecules
journal, November 2012
- Gaus, Michael; Goez, Albrecht; Elstner, Marcus
- Journal of Chemical Theory and Computation, Vol. 9, Issue 1
Development and use of quantum mechanical molecular models. 76. AM1: a new general purpose quantum mechanical molecular model
journal, June 1985
- Dewar, Michael J. S.; Zoebisch, Eve G.; Healy, Eamonn F.
- Journal of the American Chemical Society, Vol. 107, Issue 13
Multistate hybrid time-dependent density functional theory with surface hopping accurately captures ultrafast thymine photodeactivation
journal, January 2019
- Parker, Shane M.; Roy, Saswata; Furche, Filipp
- Physical Chemistry Chemical Physics, Vol. 21, Issue 35
An Ab Initio Multiple Cloning Method for Non-Adiabatic Excited-State Molecular Dynamics in NWChem
journal, May 2021
- Song, Huajing; Freixas, Victor M.; Fernandez-Alberti, Sebastian
- Journal of Chemical Theory and Computation, Vol. 17, Issue 6
Advanced Capabilities of the PYXAID Program: Integration Schemes, Decoherence Effects, Multiexcitonic States, and Field-Matter Interaction
journal, January 2014
- Akimov, Alexey V.; Prezhdo, Oleg V.
- Journal of Chemical Theory and Computation, Vol. 10, Issue 2
Bemerkung �ber die angen�herte G�ltigkeit der klassischen Mechanik innerhalb der Quantenmechanik
journal, July 1927
- Ehrenfest, P.
- Zeitschrift f�r Physik, Vol. 45, Issue 7-8
DFTBaby: A software package for non-adiabatic molecular dynamics simulations based on long-range corrected tight-binding TD-DFT(B)
journal, December 2017
- Humeniuk, Alexander; Mitrić, Roland
- Computer Physics Communications, Vol. 221
Ab initio Ehrenfest dynamics
journal, August 2005
- Li, Xiaosong; Tully, John C.; Schlegel, H. Bernhard
- The Journal of Chemical Physics, Vol. 123, Issue 8
Conical intersections and double excitations in time-dependent density functional theory
journal, March 2006
- Levine, Benjamin G.; Ko, Chaehyuk; Quenneville, Jason
- Molecular Physics, Vol. 104, Issue 5-7
Trajectory Surface Hopping within Linear Response Time-Dependent Density-Functional Theory
journal, January 2007
- Tapavicza, Enrico; Tavernelli, Ivano; Rothlisberger, Ursula
- Physical Review Letters, Vol. 98, Issue 2
Coherent exciton-vibrational dynamics and energy transfer in conjugated organics
journal, June 2018
- Nelson, Tammie R.; Ondarse-Alvarez, Dianelys; Oldani, Nicolas
- Nature Communications, Vol. 9, Issue 1
First order nonadiabatic coupling matrix elements between excited states: Implementation and application at the TD-DFT and pp-TDA levels
journal, December 2014
- Li, Zhendong; Suo, Bingbing; Liu, Wenjian
- The Journal of Chemical Physics, Vol. 141, Issue 24
Highlights from Faraday Discussion 300: hot electron science and microscopic processes in plasmonics and catalysis, London, UK, February 2019
journal, January 2019
- Zaleska, Anastasia; Glass, Daniel
- Chemical Communications, Vol. 55, Issue 50
The Rise of Neural Networks for Materials and Chemical Dynamics
journal, July 2021
- Kulichenko, Maksim; Smith, Justin S.; Nebgen, Benjamin
- The Journal of Physical Chemistry Letters, Vol. 12, Issue 26
Ultrafast internal conversion and photodissociation of molecules excited by femtosecond 155 nm laser pulses
journal, October 1999
- Farmanara, P.; Steinkellner, O.; Wick, M. T.
- The Journal of Chemical Physics, Vol. 111, Issue 14
Identifying electron transfer coordinates in donor-bridge-acceptor systems using mode projection analysis
journal, February 2017
- Yang, Xunmo; Keane, Theo; Delor, Milan
- Nature Communications, Vol. 8, Issue 1
Plasmon-driven sub-picosecond breathing of metal nanoparticles
journal, January 2017
- Bonafé, Franco P.; Aradi, Bálint; Guan, Mengxue
- Nanoscale, Vol. 9, Issue 34
Trajectory-Based Nonadiabatic Dynamics with Time-Dependent Density Functional Theory
journal, April 2013
- Curchod, Basile F. E.; Rothlisberger, Ursula; Tavernelli, Ivano
- ChemPhysChem, Vol. 14, Issue 7
Derivative Couplings between Time-Dependent Density Functional Theory Excited States in the Random-Phase Approximation Based on Pseudo-Wavefunctions: Behavior around Conical Intersections
journal, August 2014
- Ou, Qi; Alguire, Ethan C.; Subotnik, Joseph E.
- The Journal of Physical Chemistry B, Vol. 119, Issue 24
Identification of unavoided crossings in nonadiabatic photoexcited dynamics involving multiple electronic states in polyatomic conjugated molecules
journal, July 2012
- Fernandez-Alberti, Sebastian; Roitberg, Adrian E.; Nelson, Tammie
- The Journal of Chemical Physics, Vol. 137, Issue 1
Nonadiabatic excited-state molecular dynamics: Treatment of electronic decoherence
journal, June 2013
- Nelson, Tammie; Fernandez-Alberti, Sebastian; Roitberg, Adrian E.
- The Journal of Chemical Physics, Vol. 138, Issue 22
Charge transfer dynamics at the boron subphthalocyanine chloride/C 60 interface: non-adiabatic dynamics study with Libra-X
journal, January 2018
- Sato, Kosuke; Pradhan, Ekadashi; Asahi, Ryoji
- Physical Chemistry Chemical Physics, Vol. 20, Issue 39
The Simplest Possible Approach for Simulating S 0 – S 1 Conical Intersections with DFT/TDDFT: Adding One Doubly Excited Configuration
journal, May 2019
- Teh, Hung-Hsuan; Subotnik, Joseph E.
- The Journal of Physical Chemistry Letters, Vol. 10, Issue 12
The second-order Ehrenfest method
journal, June 2014
- Vacher, Morgane; Mendive-Tapia, David; Bearpark, Michael J.
- Theoretical Chemistry Accounts, Vol. 133, Issue 7
Analysis of State-Specific Vibrations Coupled to the Unidirectional Energy Transfer in Conjugated Dendrimers
journal, October 2012
- Soler, Miguel A.; Roitberg, Adrian E.; Nelson, Tammie
- The Journal of Physical Chemistry A, Vol. 116, Issue 40
Constant temperature simulations using the Langevin equation with velocity Verlet integration
journal, September 1998
- Paterlini, M. Germana; Ferguson, David M.
- Chemical Physics, Vol. 236, Issue 1-3
Nonadiabatic Ehrenfest molecular dynamics within the projector augmented-wave method
journal, April 2012
- Ojanperä, Ari; Havu, Ville; Lehtovaara, Lauri
- The Journal of Chemical Physics, Vol. 136, Issue 14
Plasmon-induced hot-carrier generation differences in gold and silver nanoclusters
journal, January 2019
- Douglas-Gallardo, Oscar A.; Berdakin, Matías; Frauenheim, Thomas
- Nanoscale, Vol. 11, Issue 17
Quadratic Response Properties from TDDFT: Trials and Tribulations
journal, December 2017
- Parker, Shane M.; Rappoport, Dmitrij; Furche, Filipp
- Journal of Chemical Theory and Computation, Vol. 14, Issue 2
Implementation of surface hopping molecular dynamics using semiempirical methods
journal, June 2008
- Fabiano, E.; Keal, T. W.; Thiel, W.
- Chemical Physics, Vol. 349, Issue 1-3
Nonadiabatic Molecular Dynamics Simulation of Light-Induced Electron Transfer from an Anchored Molecular Electron Donor to a Semiconductor Acceptor †
journal, August 2002
- Stier, William; Prezhdo, Oleg V.
- The Journal of Physical Chemistry B, Vol. 106, Issue 33
Surface hopping dynamics using a locally diabatic formalism: Charge transfer in the ethylene dimer cation and excited state dynamics in the 2-pyridone dimer
journal, December 2012
- Plasser, Felix; Granucci, Giovanni; Pittner, Jiri
- The Journal of Chemical Physics, Vol. 137, Issue 22
TheoDORE: A toolbox for a detailed and automated analysis of electronic excited state computations
journal, February 2020
- Plasser, F.
- The Journal of Chemical Physics, Vol. 152, Issue 8
Localization of Electronic Excitations in Conjugated Polymers Studied by DFT
journal, February 2011
- Nayyar, Iffat H.; Batista, Enrique R.; Tretiak, Sergei
- The Journal of Physical Chemistry Letters, Vol. 2, Issue 6
Modeling Non-adiabatic Dynamics in Nanoscale and Condensed Matter Systems
journal, November 2021
- Prezhdo, Oleg V.
- Accounts of Chemical Research, Vol. 54, Issue 23
Nonadiabatic Dynamics of Cycloparaphenylenes with TD-DFTB Surface Hopping
journal, November 2017
- Stojanović, Ljiljana; Aziz, Saadullah G.; Hilal, Rifaat H.
- Journal of Chemical Theory and Computation, Vol. 13, Issue 12
Long-range corrected hybrid functionals for π-conjugated systems: Dependence of the range-separation parameter on conjugation length
journal, November 2011
- Körzdörfer, Thomas; Sears, John S.; Sutton, Christopher
- The Journal of Chemical Physics, Vol. 135, Issue 20
Mechanistic Insights into Photocatalyzed H 2 Dissociation on Au Clusters
journal, July 2020
- Wu, Qisheng; Zhou, Linsen; Schatz, George C.
- Journal of the American Chemical Society, Vol. 142, Issue 30
A Real-Time Time-Dependent Density Functional Tight-Binding Implementation for Semiclassical Excited State Electron–Nuclear Dynamics and Pump–Probe Spectroscopy Simulations
journal, June 2020
- Bonafé, Franco P.; Aradi, Bálint; Hourahine, Ben
- Journal of Chemical Theory and Computation, Vol. 16, Issue 7
DFTB+, a software package for efficient approximate density functional theory based atomistic simulations
journal, March 2020
- Hourahine, B.; Aradi, B.; Blum, V.
- The Journal of Chemical Physics, Vol. 152, Issue 12
Modified Ehrenfest Formalism for Efficient Large-Scale ab initio Molecular Dynamics
journal, March 2009
- Andrade, Xavier; Castro, Alberto; Zueco, David
- Journal of Chemical Theory and Computation, Vol. 5, Issue 4
Implementation and benchmark of a long-range corrected functional in the density functional based tight-binding method
journal, November 2015
- Lutsker, V.; Aradi, B.; Niehaus, T. A.
- The Journal of Chemical Physics, Vol. 143, Issue 18
Graphene Nanoflakes: Thermal Stability, Infrared Signatures, and Potential Applications in the Field of Spintronics and Optical Nanodevices
journal, September 2010
- Silva, A. M.; Pires, M. S.; Freire, V. N.
- The Journal of Physical Chemistry C, Vol. 114, Issue 41
Analytical excited state forces for the time-dependent density-functional tight-binding method
journal, January 2007
- Heringer, D.; Niehaus, T. A.; Wanko, M.
- Journal of Computational Chemistry, Vol. 28, Issue 16
Including quantum decoherence in surface hopping
journal, October 2010
- Granucci, Giovanni; Persico, Maurizio; Zoccante, Alberto
- The Journal of Chemical Physics, Vol. 133, Issue 13
Trajectory Surface Hopping Approach to Nonadiabatic Molecular Collisions: The Reaction of H + with D 2
journal, July 1971
- Tully, John C.; Preston, Richard K.
- The Journal of Chemical Physics, Vol. 55, Issue 2
Direct Photocatalysis by Plasmonic Nanostructures
journal, December 2013
- Kale, Matthew J.; Avanesian, Talin; Christopher, Phillip
- ACS Catalysis, Vol. 4, Issue 1
Atomistic Insights into Chemical Interface Damping of Surface Plasmon Excitations in Silver Nanoclusters
journal, October 2016
- Douglas-Gallardo, Oscar A.; Berdakin, Matías; Sánchez, Cristián G.
- The Journal of Physical Chemistry C, Vol. 120, Issue 42
An Efficient, Augmented Surface Hopping Algorithm That Includes Decoherence for Use in Large-Scale Simulations
journal, October 2016
- Jain, Amber; Alguire, Ethan; Subotnik, Joseph E.
- Journal of Chemical Theory and Computation, Vol. 12, Issue 11
Molecular dynamics with electronic transitions
journal, July 1990
- Tully, John C.
- The Journal of Chemical Physics, Vol. 93, Issue 2
A Nonadiabatic Excited State Molecular Mechanics/Extended Hückel Ehrenfest Method
journal, November 2016
- da Silva Oliboni, Robson; Bortolini, Graziele; Torres, Alberto
- The Journal of Physical Chemistry C, Vol. 120, Issue 48
Range separated functionals in the density functional based tight-binding method: Formalism
journal, December 2011
- Niehaus, Thomas A.; Della Sala, Fabio
- physica status solidi (b), Vol. 249, Issue 2
Time-Dependent Extension of the Long-Range Corrected Density Functional Based Tight-Binding Method
journal, March 2017
- Kranz, Julian J.; Elstner, Marcus; Aradi, Bálint
- Journal of Chemical Theory and Computation, Vol. 13, Issue 4
NEXMD Software Package for Nonadiabatic Excited State Molecular Dynamics Simulations
journal, July 2020
- Malone, Walter; Nebgen, Benjamin; White, Alexander
- Journal of Chemical Theory and Computation, Vol. 16, Issue 9
Newton-X: a surface-hopping program for nonadiabatic molecular dynamics: Newton-X
journal, June 2013
- Barbatti, Mario; Ruckenbauer, Matthias; Plasser, Felix
- Wiley Interdisciplinary Reviews: Computational Molecular Science, Vol. 4, Issue 1
Approximate time-dependent density functional theory
journal, November 2009
- Niehaus, T. A.
- Journal of Molecular Structure: THEOCHEM, Vol. 914, Issue 1-3
Self-consistent-charge density-functional tight-binding method for simulations of complex materials properties
journal, September 1998
- Elstner, M.; Porezag, D.; Jungnickel, G.
- Physical Review B, Vol. 58, Issue 11, p. 7260-7268
Direct semiclassical simulation of photochemical processes with semiempirical wave functions
journal, June 2001
- Granucci, G.; Persico, M.; Toniolo, A.
- The Journal of Chemical Physics, Vol. 114, Issue 24
Extensions of the Time-Dependent Density Functional Based Tight-Binding Approach
journal, October 2013
- Domínguez, A.; Aradi, B.; Frauenheim, T.
- Journal of Chemical Theory and Computation, Vol. 9, Issue 11
Self-Trapping of Excitons, Violation of Condon Approximation, and Efficient Fluorescence in Conjugated Cycloparaphenylenes
journal, October 2014
- Adamska, Lyudmyla; Nayyar, Iffat; Chen, Hang
- Nano Letters, Vol. 14, Issue 11
Auf dem Weg zu makrocyclischenpara-Phenylenen
journal, July 1993
- Friederich, Rolf; Nieger, Martin; Vögtle, Fritz
- Chemische Berichte, Vol. 126, Issue 7