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Title: Time-dependent view of an isotope effect in electron-nuclear nonequilibrium dynamics with applications to N 2

Abstract

Isotopic fractionation in the photodissociation of N 2 could explain the considerable variation in the 14 N/ 15 N ratio in different regions of our galaxy. We previously proposed that such an isotope effect is due to coupling of photoexcited bound valence and Rydberg electronic states in the frequency range where there is strong state mixing. We here identify features of the role of the mass in the dynamics through a time-dependent quantum-mechanical simulation. The photoexcitation of N 2 is by an ultrashort pulse so that the process has a sharply defined origin in time and so that we can monitor the isolated molecule dynamics in time. An ultrafast pulse is necessarily broad in frequency and spans several excited electronic states. Each excited molecule is therefore not in a given electronic state but in a superposition state. A short time after excitation, there is a fairly sharp onset of a mass-dependent large population transfer when wave packets on two different electronic states in the same molecule overlap. This coherent overlap of the wave packets on different electronic states in the region of strong coupling allows an effective transfer of population that is very mass dependent. The extent of the transfermore » depends on the product of the populations on the two different electronic states and on their relative phase. It is as if two molecules collide but the process occurs within one molecule, a molecule that is simultaneously in both states. An analytical toy model recovers the (strong) mass and energy dependence.« less

Authors:
; ORCiD logo; ;
Publication Date:
Research Org.:
Wayne State Univ., Detroit, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1438082
Alternate Identifier(s):
OSTI ID: 1540294
Grant/Contract Number:  
SC0012628; T.0132.16; J.0012.18; CM 1405 MOLIM
Resource Type:
Published Article
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Volume: 115 Journal Issue: 23; Journal ID: ISSN 0027-8424
Publisher:
National Academy of Sciences, Washington, DC (United States)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Science & Technology; Other Topics; diabatic electronic states; nuclear phase; electronic coherence; photodissociation; nonstationary states

Citation Formats

Ajay, Jayanth S., Komarova, Ksenia G., Remacle, Francoise, and Levine, R. D. Time-dependent view of an isotope effect in electron-nuclear nonequilibrium dynamics with applications to N 2. United States: N. p., 2018. Web. doi:10.1073/pnas.1804455115.
Ajay, Jayanth S., Komarova, Ksenia G., Remacle, Francoise, & Levine, R. D. Time-dependent view of an isotope effect in electron-nuclear nonequilibrium dynamics with applications to N 2. United States. https://doi.org/10.1073/pnas.1804455115
Ajay, Jayanth S., Komarova, Ksenia G., Remacle, Francoise, and Levine, R. D. Mon . "Time-dependent view of an isotope effect in electron-nuclear nonequilibrium dynamics with applications to N 2". United States. https://doi.org/10.1073/pnas.1804455115.
@article{osti_1438082,
title = {Time-dependent view of an isotope effect in electron-nuclear nonequilibrium dynamics with applications to N 2},
author = {Ajay, Jayanth S. and Komarova, Ksenia G. and Remacle, Francoise and Levine, R. D.},
abstractNote = {Isotopic fractionation in the photodissociation of N 2 could explain the considerable variation in the 14 N/ 15 N ratio in different regions of our galaxy. We previously proposed that such an isotope effect is due to coupling of photoexcited bound valence and Rydberg electronic states in the frequency range where there is strong state mixing. We here identify features of the role of the mass in the dynamics through a time-dependent quantum-mechanical simulation. The photoexcitation of N 2 is by an ultrashort pulse so that the process has a sharply defined origin in time and so that we can monitor the isolated molecule dynamics in time. An ultrafast pulse is necessarily broad in frequency and spans several excited electronic states. Each excited molecule is therefore not in a given electronic state but in a superposition state. A short time after excitation, there is a fairly sharp onset of a mass-dependent large population transfer when wave packets on two different electronic states in the same molecule overlap. This coherent overlap of the wave packets on different electronic states in the region of strong coupling allows an effective transfer of population that is very mass dependent. The extent of the transfer depends on the product of the populations on the two different electronic states and on their relative phase. It is as if two molecules collide but the process occurs within one molecule, a molecule that is simultaneously in both states. An analytical toy model recovers the (strong) mass and energy dependence.},
doi = {10.1073/pnas.1804455115},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 23,
volume = 115,
place = {United States},
year = {Mon May 21 00:00:00 EDT 2018},
month = {Mon May 21 00:00:00 EDT 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1073/pnas.1804455115

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Cited by: 15 works
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Works referenced in this record:

Massive isotopic effect in vacuum UV photodissociation of N2 and implications for meteorite data
journal, September 2014

  • Chakraborty, S.; Muskatel, B. H.; Jackson, T. L.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 41
  • DOI: 10.1073/pnas.1410440111

Ab initio study of valence-state potential energy curves of nitrogen
journal, April 1982

  • Ermler, W. C.; McLean, A. D.; Mulliken, R. S.
  • The Journal of Physical Chemistry, Vol. 86, Issue 8
  • DOI: 10.1021/j100397a019

Excited state non-adiabatic dynamics of pyrrole: A time-resolved photoelectron spectroscopy and quantum dynamics study
journal, February 2015

  • Wu, Guorong; Neville, Simon P.; Schalk, Oliver
  • The Journal of Chemical Physics, Vol. 142, Issue 7
  • DOI: 10.1063/1.4907529

Time‐dependent approach to semiclassical dynamics
journal, February 1975

  • Heller, Eric J.
  • The Journal of Chemical Physics, Vol. 62, Issue 4
  • DOI: 10.1063/1.430620

Attosecond Electron Dynamics in Molecules
journal, May 2017


Molecular Frame Reconstruction Using Time-Domain Photoionization Interferometry
journal, August 2017


Ultrafast electron diffraction imaging of bond breaking in di-ionized acetylene
journal, October 2016


Modelling attosecond probing of electron wavepacket dynamics in non-aligned molecules
journal, May 2008

  • Schmidt, J.; Goulielmakis, E.; Yakovlev, V. S.
  • Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 41, Issue 11
  • DOI: 10.1088/0953-4075/41/11/115602

The discrete variable–finite basis approach to quantum scattering
journal, July 1986

  • Lill, J. V.; Parker, Gregory A.; Light, John C.
  • The Journal of Chemical Physics, Vol. 85, Issue 2
  • DOI: 10.1063/1.451245

Ultrafast 25-fs relaxation in highly excited states of methyl azide mediated by strong nonadiabatic coupling
journal, November 2017

  • Peters, William K.; Couch, David E.; Mignolet, Benoit
  • Proceedings of the National Academy of Sciences, Vol. 114, Issue 52
  • DOI: 10.1073/pnas.1712566114

Oscillator strengths and line widths of dipole-allowed transitions in N214 between 89.7 and 93.5nm
journal, March 2008

  • Stark, G.; Lewis, B. R.; Heays, A. N.
  • The Journal of Chemical Physics, Vol. 128, Issue 11
  • DOI: 10.1063/1.2834933

Ultrafast electronic dynamics in polyatomic molecules studied using femtosecond vacuum ultraviolet and x-ray pulses
journal, June 2014


Isotope Effects on the Nonequilibrium Dynamics of Ultrafast Photoinduced Proton-Coupled Electron Transfer Reactions in Solution
journal, December 2010

  • Hazra, Anirban; Soudackov, Alexander V.; Hammes-Schiffer, Sharon
  • The Journal of Physical Chemistry Letters, Vol. 2, Issue 1
  • DOI: 10.1021/jz101532g

Linking photochemistry in the gas and solution phase: S–H bond fission in p-methylthiophenol following UV photoexcitation
journal, January 2011

  • Oliver, Thomas A. A.; Zhang, Yuyuan; Ashfold, Michael N. R.
  • Faraday Discussions, Vol. 150
  • DOI: 10.1039/c0fd00031k

Sub-10-fs control of dissociation pathways in the hydrogen molecular ion with a few-pulse attosecond pulse train
journal, September 2016

  • Nabekawa, Yasuo; Furukawa, Yusuke; Okino, Tomoya
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms12835

Optimal control of wave-packet isotope separation
journal, March 2001


Where does the energy go in fs-relaxation?
journal, November 2013


Attosecond photoionization of a coherent superposition of bound and dissociative molecular states: effect of nuclear motion
journal, June 2009

  • Bandrauk, André D.; Chelkowski, Szczepan; Corkum, Paul B.
  • Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 42, Issue 13
  • DOI: 10.1088/0953-4075/42/13/134001

Ultrafast Predissociation Mechanism of the 1 Π u States of 14 N 2 and Its Isotopomers upon Attosecond Excitation from the Ground State
journal, August 2012

  • Muskatel, B. H.; Remacle, F.; Levine, R. D.
  • The Journal of Physical Chemistry A, Vol. 116, Issue 46
  • DOI: 10.1021/jp305354h

Nonstationary Electronic States and Site-Selective Reactivity
journal, October 1997

  • Weinkauf, R.; Schlag, E. W.; Martinez, T. J.
  • The Journal of Physical Chemistry A, Vol. 101, Issue 42
  • DOI: 10.1021/jp9715742

Imaging an aligned polyatomic molecule with laser-induced electron diffraction
journal, June 2015

  • Pullen, Michael G.; Wolter, Benjamin; Le, Anh-Thu
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms8262

Real-Time Probing of Electron Dynamics Using Attosecond Time-Resolved Spectroscopy
journal, May 2016


Photochemistry of highly excited states
journal, November 2017


Isotope selective photodissociation of N 2 by the interstellar radiation field and cosmic rays
journal, February 2014


Probing Proton Dynamics in Molecules on an Attosecond Time Scale
journal, March 2006


Kinetic isotope effect of proton-coupled electron transfer in a hydrogen bonded phenol–pyrrolidino[60]fullerene
journal, January 2015

  • Ravensbergen, Janneke; Brown, Chelsea L.; Moore, Gary F.
  • Photochemical & Photobiological Sciences, Vol. 14, Issue 12
  • DOI: 10.1039/C5PP00259A

Substituent effects on dynamics at conical intersections: Allene and methyl allenes
journal, January 2016

  • Neville, Simon P.; Wang, Yanmei; Boguslavskiy, Andrey E.
  • The Journal of Chemical Physics, Vol. 144, Issue 1
  • DOI: 10.1063/1.4938561

Valence–Rydberg electronic states of N 2 : spectroscopy and spin–orbit couplings
journal, November 2010

  • Hochlaf, M.; Ndome, H.; Hammoutène, D.
  • Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 43, Issue 24
  • DOI: 10.1088/0953-4075/43/24/245101

Probing the Dynamics of Rydberg and Valence States of Molecular Nitrogen with Attosecond Transient Absorption Spectroscopy
journal, February 2016

  • Warrick, Erika R.; Cao, Wei; Neumark, Daniel M.
  • The Journal of Physical Chemistry A, Vol. 120, Issue 19
  • DOI: 10.1021/acs.jpca.5b11570

Predissociation mechanism for the lowest Πu1 states of N2
journal, April 2005

  • Lewis, B. R.; Gibson, S. T.; Zhang, W.
  • The Journal of Chemical Physics, Vol. 122, Issue 14
  • DOI: 10.1063/1.1869986

Excited state non-adiabatic dynamics of N-methylpyrrole: A time-resolved photoelectron spectroscopy and quantum dynamics study
journal, January 2016

  • Wu, Guorong; Neville, Simon P.; Schalk, Oliver
  • The Journal of Chemical Physics, Vol. 144, Issue 1
  • DOI: 10.1063/1.4938423

Wave Packet Isotope Separation
journal, October 1996

  • Averbukh, I. Sh.; Vrakking, Marc J. J.; Villeneuve, D. M.
  • Physical Review Letters, Vol. 77, Issue 17
  • DOI: 10.1103/PhysRevLett.77.3518

Isotope-selective laser molecular alignment
journal, October 2006


Dipole-allowed excited states of N2: Potential energy curves, vibrational analysis, and absorption intensities
journal, October 2001

  • Spelsberg, Dirk; Meyer, Wilfried
  • The Journal of Chemical Physics, Vol. 115, Issue 14
  • DOI: 10.1063/1.1400139

Nitrogen isotopic fractionations in the low temperature (80 K) vacuum ultraviolet photodissociation of N 2
journal, September 2016

  • Chakraborty, Subrata; Jackson, Teresa L.; Rude, Bruce
  • The Journal of Chemical Physics, Vol. 145, Issue 11
  • DOI: 10.1063/1.4962447

Time-dependent quantum-mechanical methods for molecular dynamics
journal, April 1988


Beyond structure: ultrafast X-ray absorption spectroscopy as a probe of non-adiabatic wavepacket dynamics
journal, January 2016

  • Neville, Simon P.; Averbukh, Vitali; Patchkovskii, Serguei
  • Faraday Discussions, Vol. 194
  • DOI: 10.1039/C6FD00117C

Probing in Space and Time the Nuclear Motion Driven by Nonequilibrium Electronic Dynamics in Ultrafast Pumped N 2
journal, March 2016

  • Ajay, J.; Šmydke, J.; Remacle, F.
  • The Journal of Physical Chemistry A, Vol. 120, Issue 19
  • DOI: 10.1021/acs.jpca.6b00165

Ultrafast Dynamics and Coherent Oscillations in Ethylene and Ethylene- d 4 Excited at 162 nm
journal, August 2008

  • Kosma, K.; Trushin, S. A.; Fuss, W.
  • The Journal of Physical Chemistry A, Vol. 112, Issue 33
  • DOI: 10.1021/jp803548c

Solvent‐induced nonadiabatic transitions in iodine: An ultrafast pump–probe computational study
journal, August 1996

  • Ben‐Nun, M.; Levine, R. D.; Fleming, Graham R.
  • The Journal of Chemical Physics, Vol. 105, Issue 8
  • DOI: 10.1063/1.472175

Substituent Effects on Dynamics at Conical Intersections:  α,β-Enones
journal, November 2007

  • Lee, A. M. D.; Coe, J. D.; Ullrich, S.
  • The Journal of Physical Chemistry A, Vol. 111, Issue 47
  • DOI: 10.1021/jp074622j

An electronic time scale in chemistry
journal, April 2006

  • Remacle, F.; Levine, R. D.
  • Proceedings of the National Academy of Sciences, Vol. 103, Issue 18
  • DOI: 10.1073/pnas.0601855103

Excited state X-ray absorption spectroscopy: Probing both electronic and structural dynamics
journal, October 2016

  • Neville, Simon P.; Averbukh, Vitali; Ruberti, Marco
  • The Journal of Chemical Physics, Vol. 145, Issue 14
  • DOI: 10.1063/1.4964369