DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Geometric phase effects in ultracold hydrogen exchange reaction

Abstract

The role of the geometric phase effect on chemical reaction dynamics is explored by examining the hydrogen exchange process in the fundamental H+HD reaction. Results are presented for vibrationally excited HD molecules in the v = 4 vibrational level and for collision energies ranging from 1 μK to 100 K. It is found that, for collision energies below 3 K, inclusion of the geometric phase leads to dramatic enhancement or suppression of the reaction rates depending on the final quantum state of the HD molecule. The effect was found to be the most prominent for rotationally resolved integral and differential cross sections but it persists to a lesser extent in the vibrationally resolved and total reaction rate coefficients. However, no significant GP effect is present in the reactive channel leading to the D+H2 product or in the D+H2 $$(v=4,j=0)\,\to $$ HD+H reaction. A simple interference mechanism involving inelastic (nonreactive) and exchange scattering amplitudes is invoked to account for the observed GP effects. The computed results also reveal a shape resonance in the H+HD reaction near 1 K and the GP effect is found to influence the magnitude of the resonant part of the cross section. In conclusion, experimental detection of the resonance may allow a sensitive probe of the GP effect in the H+HD reaction.

Authors:
 [1];  [2];  [1]
  1. Univ. of Nevada, Las Vegas, NV (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1331281
Report Number(s):
LA-UR-16-23071
Journal ID: ISSN 0953-4075
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Physics. B, Atomic, Molecular and Optical Physics
Additional Journal Information:
Journal Volume: 49; Journal Issue: 19; Journal ID: ISSN 0953-4075
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; Astronomy and Astrophysics; Inorganic and Physical Chemistry

Citation Formats

Hazra, Jisha, Kendrick, Brian K., and Balakrishnan, Naduvalath. Geometric phase effects in ultracold hydrogen exchange reaction. United States: N. p., 2016. Web. doi:10.1088/0953-4075/49/19/194004.
Hazra, Jisha, Kendrick, Brian K., & Balakrishnan, Naduvalath. Geometric phase effects in ultracold hydrogen exchange reaction. United States. https://doi.org/10.1088/0953-4075/49/19/194004
Hazra, Jisha, Kendrick, Brian K., and Balakrishnan, Naduvalath. Fri . "Geometric phase effects in ultracold hydrogen exchange reaction". United States. https://doi.org/10.1088/0953-4075/49/19/194004. https://www.osti.gov/servlets/purl/1331281.
@article{osti_1331281,
title = {Geometric phase effects in ultracold hydrogen exchange reaction},
author = {Hazra, Jisha and Kendrick, Brian K. and Balakrishnan, Naduvalath},
abstractNote = {The role of the geometric phase effect on chemical reaction dynamics is explored by examining the hydrogen exchange process in the fundamental H+HD reaction. Results are presented for vibrationally excited HD molecules in the v = 4 vibrational level and for collision energies ranging from 1 μK to 100 K. It is found that, for collision energies below 3 K, inclusion of the geometric phase leads to dramatic enhancement or suppression of the reaction rates depending on the final quantum state of the HD molecule. The effect was found to be the most prominent for rotationally resolved integral and differential cross sections but it persists to a lesser extent in the vibrationally resolved and total reaction rate coefficients. However, no significant GP effect is present in the reactive channel leading to the D+H2 product or in the D+H2 $(v=4,j=0)\,\to $ HD+H reaction. A simple interference mechanism involving inelastic (nonreactive) and exchange scattering amplitudes is invoked to account for the observed GP effects. The computed results also reveal a shape resonance in the H+HD reaction near 1 K and the GP effect is found to influence the magnitude of the resonant part of the cross section. In conclusion, experimental detection of the resonance may allow a sensitive probe of the GP effect in the H+HD reaction.},
doi = {10.1088/0953-4075/49/19/194004},
journal = {Journal of Physics. B, Atomic, Molecular and Optical Physics},
number = 19,
volume = 49,
place = {United States},
year = {Fri Oct 14 00:00:00 EDT 2016},
month = {Fri Oct 14 00:00:00 EDT 2016}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 16 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Studies of the Jahn-Teller effect .II. The dynamical problem
journal, February 1958

  • 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
  • DOI: 10.1098/rspa.1958.0022

Intersection of potential energy surfaces in polyatomic molecules
journal, January 1963

  • Herzberg, G.; Longuet-Higgins, H. C.
  • Discussions of the Faraday Society, Vol. 35
  • DOI: 10.1039/df9633500077

Quantal Phase Factors Accompanying Adiabatic Changes
journal, March 1984

  • Berry, M. V.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 392, Issue 1802
  • DOI: 10.1098/rspa.1984.0023

On the determination of Born–Oppenheimer nuclear motion wave functions including complications due to conical intersections and identical nuclei
journal, March 1979

  • Mead, C. Alden; Truhlar, Donald G.
  • The Journal of Chemical Physics, Vol. 70, Issue 5
  • DOI: 10.1063/1.437734

Conditions for the definition of a strictly diabatic electronic basis for molecular systems
journal, December 1982

  • Mead, C. Alden; Truhlar, Donald G.
  • The Journal of Chemical Physics, Vol. 77, Issue 12
  • DOI: 10.1063/1.443853

Non-Abelian geometric phase and long-range atomic forces
journal, January 1990


The Berry phase in molecular physics
journal, January 1992

  • Bohm, A.; Kendrick, B.; Loewe, Mark E.
  • International Journal of Quantum Chemistry, Vol. 41, Issue 1
  • DOI: 10.1002/qua.560410108

Geometric-phase atom optics and interferometry
journal, October 2015


A double many‐body expansion of the two lowest‐energy potential surfaces and nonadiabatic coupling for H 3
journal, June 1987

  • Varandas, Antonio J. C.; Brown, Franklin B.; Mead, C. Alden
  • The Journal of Chemical Physics, Vol. 86, Issue 11
  • DOI: 10.1063/1.452463

Superposition of reactive and nonreactive scattering amplitudes in the presence of a conical intersection
journal, March 1980

  • Mead, C. Alden
  • The Journal of Chemical Physics, Vol. 72, Issue 6
  • DOI: 10.1063/1.439600

Numerical study of the geometric phase in the H+H2 reaction
journal, March 1990


Comparison of experimental and theoretical integral cross sections for D+H 2 ( v =1, j =1)→HD( v ’=1, j ’)+H
journal, August 1991

  • Kliner, Dahv A. V.; Adelman, David E.; Zare, Richard N.
  • The Journal of Chemical Physics, Vol. 95, Issue 3
  • DOI: 10.1063/1.461016

Measurement of relative state‐to‐state rate constants for the reaction D+H 2 ( v ,  j )→HD( v ’,  j ’)+H
journal, November 1992

  • Adelman, David E.; Shafer, Neil E.; Kliner, Dahv A. V.
  • The Journal of Chemical Physics, Vol. 97, Issue 10
  • DOI: 10.1063/1.463504

Reaction Product Imaging: The H + D2 Reaction
journal, June 1993


On the appearance of resonances in reactive scattering: An experimental study of the H+D2→HD+D reaction at collision energies near 1.29 eV
journal, July 1997

  • Wrede, E.; Schnieder, L.
  • The Journal of Chemical Physics, Vol. 107, Issue 3
  • DOI: 10.1063/1.474378

The dynamics of the hydrogen exchange reaction at 2.20 eV collision energy: Comparison of experimental and theoretical differential cross sections
journal, May 1999

  • Wrede, E.; Schnieder, L.; Welge, K. H.
  • The Journal of Chemical Physics, Vol. 110, Issue 20
  • DOI: 10.1063/1.478870

Disagreement between theory and experiment in the simplest chemical reaction: Collision energy dependent rotational distributions for H+D2→HD(ν′=3,j′)+D
journal, February 2004

  • Pomerantz, Andrew E.; Ausfelder, Florian; Zare, Richard N.
  • The Journal of Chemical Physics, Vol. 120, Issue 7
  • DOI: 10.1063/1.1641008

Hunt for geometric phase effects in H + HD → HD( v ′, j′ ) + H
journal, October 2013

  • Jankunas, Justin; Sneha, Mahima; Zare, Richard N.
  • The Journal of Chemical Physics, Vol. 139, Issue 14
  • DOI: 10.1063/1.4821601

Simultaneous Measurement of Reactive and Inelastic Scattering: Differential Cross Section of the H + HD → HD(v′, j′) + H Reaction
journal, January 2013

  • Jankunas, Justin; Sneha, Mahima; Zare, Richard N.
  • Zeitschrift für Physikalische Chemie, Vol. 227, Issue 9-11
  • DOI: 10.1524/zpch.2013.0407

Is the simplest chemical reaction really so simple?
journal, December 2013

  • Jankunas, J.; Sneha, M.; Zare, R. N.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 1
  • DOI: 10.1073/pnas.1315725111

Differential Cross Sections for the H + D 2 → HD( v ′ = 3, j ′ = 4–10) + D Reaction above the Conical Intersection
journal, July 2015

  • Gao, Hong; Sneha, Mahima; Bouakline, Foudhil
  • The Journal of Physical Chemistry A, Vol. 119, Issue 50
  • DOI: 10.1021/acs.jpca.5b04573

Rotational excitation of H2 in collision with H
journal, May 1994

  • Sun, Y.; Dalgarno, A.
  • The Astrophysical Journal, Vol. 427
  • DOI: 10.1086/174212

Geometric phase effects in the H+D2→HD+D reaction
journal, April 2000

  • Kendrick, Brian K.
  • The Journal of Chemical Physics, Vol. 112, Issue 13
  • DOI: 10.1063/1.481143

Erratum: “Geometric phase effects in the H+D2→HD+D reaction” [J. Chem. Phys. 112 , 5679 (2000)]
journal, March 2001

  • Kendrick, Brian K.
  • The Journal of Chemical Physics, Vol. 114, Issue 9
  • DOI: 10.1063/1.1346648

Quantum reactive scattering calculations for the H+D2→HD+D reaction
journal, May 2001

  • Kendrick, Brian K.
  • The Journal of Chemical Physics, Vol. 114, Issue 20
  • DOI: 10.1063/1.1367377

Quantum reactive scattering calculations for the D+H2→HD+H reaction
journal, June 2003

  • Kendrick, Brian K.
  • The Journal of Chemical Physics, Vol. 118, Issue 23
  • DOI: 10.1063/1.1573183

Geometric Phase Effects in Chemical Reaction Dynamics and Molecular Spectra
journal, September 2003

  • Kendrick, Brian K.
  • The Journal of Physical Chemistry A, Vol. 107, Issue 35
  • DOI: 10.1021/jp021865x

Geometric phase effects in the H+H2 reaction: Quantum wave-packet calculations of integral and differential cross sections
journal, May 2005

  • Juanes-Marcos, Juan Carlos; Althorpe, Stuart C.
  • The Journal of Chemical Physics, Vol. 122, Issue 20
  • DOI: 10.1063/1.1924411

Theoretical Study of Geometric Phase Effects in the Hydrogen-Exchange Reaction
journal, August 2005


General explanation of geometric phase effects in reactive systems: Unwinding the nuclear wave function using simple topology
journal, February 2006

  • Althorpe, Stuart C.
  • The Journal of Chemical Physics, Vol. 124, Issue 8
  • DOI: 10.1063/1.2161220

Effect of the geometric phase on nuclear dynamics at a conical intersection: Extension of a recent topological approach from one to two coupled surfaces
journal, December 2008

  • Althorpe, Stuart C.; Stecher, Thomas; Bouakline, Foudhil
  • The Journal of Chemical Physics, Vol. 129, Issue 21
  • DOI: 10.1063/1.3031215

Strong geometric-phase effects in the hydrogen-exchange reaction at high collision energies
journal, March 2008

  • Bouakline, Foudhil; Althorpe, Stuart C.; Peláez Ruiz, Daniel
  • The Journal of Chemical Physics, Vol. 128, Issue 12
  • DOI: 10.1063/1.2897920

Influence of the Geometric Phase and Non-Adiabatic Couplings on the Dynamics of the H+H2 Molecular System
book, January 2009


Strong geometric-phase effects in the hydrogen-exchange reaction at high collision energies: II. Quasiclassical trajectory analysis
journal, April 2010

  • Bouakline, Foudhil; Althorpe, Stuart C.; Larregaray, Pascal
  • Molecular Physics, Vol. 108, Issue 7-9
  • DOI: 10.1080/00268971003610218

The geometric phase controls ultracold chemistry
journal, July 2015

  • Kendrick, B. K.; Hazra, Jisha; Balakrishnan, N.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms8918

Geometric Phase Appears in the Ultracold Hydrogen Exchange Reaction
journal, October 2015


Importance of Geometric Phase Effects in Ultracold Chemistry
journal, September 2015

  • Hazra, Jisha; Kendrick, Brian K.; Balakrishnan, Naduvalath
  • The Journal of Physical Chemistry A, Vol. 119, Issue 50
  • DOI: 10.1021/acs.jpca.5b06410

Geometric phase effects in H+O 2 scattering. II. Recombination resonances and state‐to‐state transition probabilities at thermal energies
journal, May 1996

  • Kendrick, Brian; Pack, Russell T.
  • The Journal of Chemical Physics, Vol. 104, Issue 19
  • DOI: 10.1063/1.471461

Geometric phase effects in the resonance spectrum, state-to-state transition probabilities and bound state spectrum of HO 2
journal, March 1997

  • Kendrick, Brian; Pack, Russell T.
  • The Journal of Chemical Physics, Vol. 106, Issue 9
  • DOI: 10.1063/1.473449

Cyclic-N3. II. Significant geometric phase effects in the vibrational spectra
journal, January 2005

  • Babikov, Dmitri; Kendrick, Brian K.; Zhang, Peng
  • The Journal of Chemical Physics, Vol. 122, Issue 4
  • DOI: 10.1063/1.1824905

Spectroscopic studies of the jet‐cooled copper trimer
journal, December 1983

  • Morse, Michael D.; Hopkins, J. B.; Langridge‐Smith, P. R. R.
  • The Journal of Chemical Physics, Vol. 79, Issue 11
  • DOI: 10.1063/1.445694

Tricopper. A fluxional molecule
journal, February 1983

  • DiLella, D. P.; Taylor, Kathleen; Moskovits, M.
  • The Journal of Physical Chemistry, Vol. 87, Issue 3
  • DOI: 10.1021/j100226a028

Laser-excited fluorescence spectroscopy of the jet-cooled copper trimer
journal, May 1986


Adiabatic electronic energies and nonadiabatic couplings to all orders for system of three identical nuclei with conical intersection a)
journal, March 1985

  • Thompson, Todd C.; Mead, C. Alden
  • The Journal of Chemical Physics, Vol. 82, Issue 5
  • DOI: 10.1063/1.448334

On the form of the adiabatic and diabatic representation and the validity of the adiabatic approximation for X 3 Jahn–Teller systems
journal, March 1985

  • Thompson, Todd C.; Truhlar, Donald G.; Mead, C. Alden
  • The Journal of Chemical Physics, Vol. 82, Issue 5
  • DOI: 10.1063/1.448333

The potential energy surface of the jahn-teller-distorted 2E' ground state of copper trimer
journal, June 1986


First observation of an electronically excited state of Li 3
journal, October 1989


Rovibrational structures of the pseudorotating lithium trimer 21Li3: Rotationally resolved spectroscopy and ab initio calculations of the A 2E″←X 2E′ system
journal, November 2000

  • Keil, M.; Krämer, H. -G.; Kudell, A.
  • The Journal of Chemical Physics, Vol. 113, Issue 17
  • DOI: 10.1063/1.1308091

Unambiguous Proof for Berry's Phase in the Sodium Trimer: Analysis of the Transition A 2 E X 2 E
journal, November 1998


A case study in ultracold reactive scattering: D + H2
journal, January 2011

  • Simbotin, Ion; Ghosal, Subhas; Côté, Robin
  • Physical Chemistry Chemical Physics, Vol. 13, Issue 42
  • DOI: 10.1039/c1cp21982k

Effect of nuclear spin symmetry in cold and ultracold reactions: D + para/ortho-H 2
journal, June 2015


Adiabatic Theory of Chemical Reactions
journal, September 1970

  • Truhlar, Donald G.
  • The Journal of Chemical Physics, Vol. 53, Issue 5
  • DOI: 10.1063/1.1674285

Reaction path Hamiltonian for polyatomic molecules
journal, January 1980

  • Miller, William H.; Handy, Nicholas C.; Adams, John E.
  • The Journal of Chemical Physics, Vol. 72, Issue 1
  • DOI: 10.1063/1.438959

Current Status of Transition-State Theory
journal, January 1996

  • Truhlar, Donald G.; Garrett, Bruce C.; Klippenstein, Stephen J.
  • The Journal of Physical Chemistry, Vol. 100, Issue 31
  • DOI: 10.1021/jp953748q

Quantum dynamics of the O+OH→H+O2 reaction at low temperatures
journal, December 2008

  • Quéméner, Goulven; Balakrishnan, Naduvalath; Kendrick, Brian K.
  • The Journal of Chemical Physics, Vol. 129, Issue 22
  • DOI: 10.1063/1.3035904

Formation of molecular oxygen in ultracold O + O H collisions
journal, February 2009

  • Quéméner, Goulven; Balakrishnan, Naduvalath; Kendrick, Brian K.
  • Physical Review A, Vol. 79, Issue 2
  • DOI: 10.1103/PhysRevA.79.022703

Ultracold collisions and reactions of vibrationally excited OH radicals with oxygen atoms
journal, January 2011

  • Juanes-Marcos, Juan Carlos; Quéméner, Goulven; Kendrick, Brian K.
  • Physical Chemistry Chemical Physics, Vol. 13, Issue 42
  • DOI: 10.1039/c1cp21141b

Chemical reaction versus vibrational quenching in low energy collisions of vibrationally excited OH with O
journal, November 2013

  • Pradhan, G. B.; Juanes-Marcos, J. C.; Balakrishnan, N.
  • The Journal of Chemical Physics, Vol. 139, Issue 19
  • DOI: 10.1063/1.4830398

Quantum-State Controlled Chemical Reactions of Ultracold Potassium-Rubidium Molecules
journal, February 2010


Ultracold Molecules under Control!
journal, April 2012

  • Quéméner, Goulven; Julienne, Paul S.
  • Chemical Reviews, Vol. 112, Issue 9
  • DOI: 10.1021/cr300092g

Quantum reactive scattering in three dimensions using hyperspherical (APH) coordinates. Theory
journal, October 1987

  • Pack, Russell T.; Parker, Gregory A.
  • The Journal of Chemical Physics, Vol. 87, Issue 7
  • DOI: 10.1063/1.452944

Hyperspherical surface functions for nonzero total angular momentum. I. Eckart singularities
journal, April 1999

  • Kendrick, Brian K.; Pack, Russell T.; Walker, Robert B.
  • The Journal of Chemical Physics, Vol. 110, Issue 14
  • DOI: 10.1063/1.478574

Accurate quantum calculations on three-body collisions in recombination and collision-induced dissociation. I. Converged probabilities for the H+Ne2 system
journal, October 2002

  • Parker, Gregory A.; Walker, Robert B.; Kendrick, Brian K.
  • The Journal of Chemical Physics, Vol. 117, Issue 13
  • DOI: 10.1063/1.1503313

Geometric phase effects in H+O 2 scattering. I. Surface function solutions in the presence of a conical intersection
journal, May 1996

  • Kendrick, Brian; Pack, Russell T.
  • The Journal of Chemical Physics, Vol. 104, Issue 19
  • DOI: 10.1063/1.471460

The multichannel log-derivative method for scattering calculations
journal, November 1973


A refined H3 potential energy surface
journal, May 1996

  • Boothroyd, Arnold I.; Keogh, William J.; Martin, Peter G.
  • The Journal of Chemical Physics, Vol. 104, Issue 18
  • DOI: 10.1063/1.471430

A hierarchical family of global analytic Born–Oppenheimer potential energy surfaces for the H+H2 reaction ranging in quality from double-zeta to the complete basis set limit
journal, March 2002

  • Mielke, Steven L.; Garrett, Bruce C.; Peterson, Kirk A.
  • The Journal of Chemical Physics, Vol. 116, Issue 10
  • DOI: 10.1063/1.1432319

Theory of Disintegration of Nuclei by Neutrons
journal, May 1935


On the Behavior of Cross Sections Near Thresholds
journal, May 1948


Works referencing / citing this record:

Non-adiabatic quantum reactive scattering in hyperspherical coordinates
journal, January 2018

  • Kendrick, Brian K.
  • The Journal of Chemical Physics, Vol. 148, Issue 4
  • DOI: 10.1063/1.5014989