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

Title: Ultracold chemistry with alkali-metal–rare-earth molecules

Abstract

Here, a first principles study of the dynamics of 6Li(2S) + 6Li174Yb(2Σ+) → 6Li2(1Σ+) + 174Yb(1S) reaction is presented at cold and ultracold temperatures. The computations involve determination and analytic fitting of a three-dimensional potential energy surface for the Li2 Yb system and quantum dynamics calculations of varying complexities, ranging from exact quantum dynamics within the close-coupling scheme, to statistical quantum treatment, and universal models. It is demonstrated that the two simplified methods yield zero-temperature limiting reaction rate coefficients in reasonable agreement with the full close-coupling calculations. The effect of the three-body term in the interaction potential is explored by comparing quantum dynamics results from a pairwise potential that neglects the three-body term to that derived from the full interaction potential. Inclusion of the three-body term in the close-coupling calculations was found to reduce the limiting rate coefficients by a factor of two. The reaction exoergicity populates vibrational levels as high as v = 19 of the 6Li2 molecule in the limit of zero collision energy. Product vibrational distributions from the close-coupling calculations reveal sensitivity to inclusion of three-body forces in the interaction potential. In conclusion, the results indicate that a simplified model based on the long-range potential is ablemore » to yield reliable values of the total reaction rate coefficient in the ultracold limit but a more rigorous approach based on statistical quantum or quantum close-coupling methods is desirable when product rovibrational distribution is required.« less

Authors:
 [1];  [2];  [2];  [1]; ORCiD logo [3];  [4];  [2];  [1]
  1. Temple University, Philadelphia, PA (United States)
  2. Univ. of Nevada, Las Vegas, NV (United States)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  4. Instituto de Física Fundamental, IFF-CSIC, Madrid (Spain)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1471323
Alternate Identifier(s):
OSTI ID: 1181234
Report Number(s):
LA-UR-14-28770
Journal ID: ISSN 1050-2947; PLRAAN
Grant/Contract Number:  
AC52-06NA25396; 20140309ER
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review A - Atomic, Molecular, and Optical Physics
Additional Journal Information:
Journal Volume: 91; Journal Issue: 1; Journal ID: ISSN 1050-2947
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; ultracold; cold; molecules; scattering; chemical reaction

Citation Formats

Makrides, C., Hazra, J., Pradhan, G. B., Petrov, A., Kendrick, Brian Kent, González-Lezana, T., Balakrishnan, N., and Kotochigova, S. Ultracold chemistry with alkali-metal–rare-earth molecules. United States: N. p., 2015. Web. doi:10.1103/PhysRevA.91.012708.
Makrides, C., Hazra, J., Pradhan, G. B., Petrov, A., Kendrick, Brian Kent, González-Lezana, T., Balakrishnan, N., & Kotochigova, S. Ultracold chemistry with alkali-metal–rare-earth molecules. United States. https://doi.org/10.1103/PhysRevA.91.012708
Makrides, C., Hazra, J., Pradhan, G. B., Petrov, A., Kendrick, Brian Kent, González-Lezana, T., Balakrishnan, N., and Kotochigova, S. Tue . "Ultracold chemistry with alkali-metal–rare-earth molecules". United States. https://doi.org/10.1103/PhysRevA.91.012708. https://www.osti.gov/servlets/purl/1471323.
@article{osti_1471323,
title = {Ultracold chemistry with alkali-metal–rare-earth molecules},
author = {Makrides, C. and Hazra, J. and Pradhan, G. B. and Petrov, A. and Kendrick, Brian Kent and González-Lezana, T. and Balakrishnan, N. and Kotochigova, S.},
abstractNote = {Here, a first principles study of the dynamics of 6Li(2S) + 6Li174Yb(2Σ+) → 6Li2(1Σ+) + 174Yb(1S) reaction is presented at cold and ultracold temperatures. The computations involve determination and analytic fitting of a three-dimensional potential energy surface for the Li2 Yb system and quantum dynamics calculations of varying complexities, ranging from exact quantum dynamics within the close-coupling scheme, to statistical quantum treatment, and universal models. It is demonstrated that the two simplified methods yield zero-temperature limiting reaction rate coefficients in reasonable agreement with the full close-coupling calculations. The effect of the three-body term in the interaction potential is explored by comparing quantum dynamics results from a pairwise potential that neglects the three-body term to that derived from the full interaction potential. Inclusion of the three-body term in the close-coupling calculations was found to reduce the limiting rate coefficients by a factor of two. The reaction exoergicity populates vibrational levels as high as v = 19 of the 6Li2 molecule in the limit of zero collision energy. Product vibrational distributions from the close-coupling calculations reveal sensitivity to inclusion of three-body forces in the interaction potential. In conclusion, the results indicate that a simplified model based on the long-range potential is able to yield reliable values of the total reaction rate coefficient in the ultracold limit but a more rigorous approach based on statistical quantum or quantum close-coupling methods is desirable when product rovibrational distribution is required.},
doi = {10.1103/PhysRevA.91.012708},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = 1,
volume = 91,
place = {United States},
year = {Tue Jan 20 00:00:00 EST 2015},
month = {Tue Jan 20 00:00:00 EST 2015}
}

Journal Article:

Citation Metrics:
Cited by: 27 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Formation of ultracold fermionic NaLi Feshbach molecules
journal, August 2012


Ytterbium in Quantum Gases and Atomic Clocks: van der Waals Interactions and Blackbody Shifts
journal, December 2012


Ultracold Dense Samples of Dipolar RbCs Molecules in the Rovibrational and Hyperfine Ground State
journal, November 2014


Molecular beam studies of the F+H 2 reaction
journal, April 1985

  • Neumark, D. M.; Wodtke, A. M.; Robinson, G. N.
  • The Journal of Chemical Physics, Vol. 82, Issue 7
  • DOI: 10.1063/1.448254

Molecules near absolute zero and external field control of atomic and molecular dynamics
journal, January 2005


A multichannel quantum defect analysis of diatomic predissociation and inelastic atomic scattering
journal, March 1984

  • Mies, Frederick H.
  • The Journal of Chemical Physics, Vol. 80, Issue 6
  • DOI: 10.1063/1.447000

Statistical aspects of ultracold resonant scattering
journal, June 2012


Implicit Application of Polynomial Filters in a k -Step Arnoldi Method
journal, January 1992

  • Sorensen, D. C.
  • SIAM Journal on Matrix Analysis and Applications, Vol. 13, Issue 1
  • DOI: 10.1137/0613025

Ultracold collisions of O( 1 D ) and H 2 : The effects of H 2 vibrational excitation on the production of vibrationally and rotationally excited OH
journal, April 2013

  • Pradhan, G. B.; Balakrishnan, N.; Kendrick, Brian K.
  • The Journal of Chemical Physics, Vol. 138, Issue 16
  • DOI: 10.1063/1.4802476

Tertiary and general-order collisions (II)
journal, October 1960


Ultracold Heteronuclear Mixture of Ground and Excited State Atoms
journal, January 2014


Conical Intersections in Laboratory Coordinates with Ultracold Molecules
journal, August 2009


The D + + H 2 Reaction: Differential and Integral Cross Sections at Low Energy and Rate Constants at Low Temperature
journal, April 2014

  • González-Lezana, Tomás; Scribano, Yohann; Honvault, Pascal
  • The Journal of Physical Chemistry A, Vol. 118, Issue 33
  • DOI: 10.1021/jp501446y

Ultracold Fermionic Feshbach Molecules of Na 23 K 40
journal, August 2012


Nature of binding in the alkaline–earth clusters: Be3, Mg3, and Ca3
journal, October 2000

  • Kaplan, Ilya G.; Roszak, Szczepan; Leszczynski, Jerzy
  • The Journal of Chemical Physics, Vol. 113, Issue 15
  • DOI: 10.1063/1.1287835

An improved log derivative method for inelastic scattering
journal, December 1986

  • Manolopoulos, D. E.
  • The Journal of Chemical Physics, Vol. 85, Issue 11
  • DOI: 10.1063/1.451472

A High Phase-Space-Density Gas of Polar Molecules
journal, October 2008


Tertiary and general-order collisions
journal, January 1958


Quantum degenerate mixture of ytterbium and lithium atoms
journal, July 2011


Valence basis sets for relativistic energy-consistent small-core lanthanide pseudopotentials
journal, October 2001

  • Cao, Xiaoyan; Dolg, Michael
  • The Journal of Chemical Physics, Vol. 115, Issue 16
  • DOI: 10.1063/1.1406535

A new functional form to obtain analytical potentials of triatomic molecules
journal, January 1992

  • Aguado, Alfredo; Paniagua, Miguel
  • The Journal of Chemical Physics, Vol. 96, Issue 2
  • DOI: 10.1063/1.462163

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


Quantum study of electronically non-adiabatic collinear reactions. I. Hyperspherical description of the electronuclear dynamics
journal, July 1986


Direct rate measurements on the reactions N + OH ? NO + H and O + OH ? O2+ H from 250 to 515 K
journal, January 1981

  • Howard, Mark J.; Smith, Ian W. M.
  • Journal of the Chemical Society, Faraday Transactions 2, Vol. 77, Issue 6
  • DOI: 10.1039/f29817700997

Q UANTUM S CATTERING C ALCULATIONS ON C HEMICAL R EACTIONS
journal, October 2003


A rigorous test of the statistical model for atom–diatom insertion reactions
journal, December 2003

  • Rackham, Edward J.; Gonzalez-Lezana, Tomas; Manolopoulos, David E.
  • The Journal of Chemical Physics, Vol. 119, Issue 24
  • DOI: 10.1063/1.1628218

Calculation of frequency-dependent polarizabilities using general coupled-cluster models
journal, August 2006


Universal Rate Constants for Reactive Collisions of Ultracold Molecules
journal, March 2010


Importance of long-range interactions in chemical reactions at cold and ultracold temperatures
journal, July 2006

  • Weck, Philippe F.; Balakrishnan, N.
  • International Reviews in Physical Chemistry, Vol. 25, Issue 3
  • DOI: 10.1080/01442350600791894

Quantum mechanical and quasiclassical simulations of molecular beam experiments for the F+H2→HF+H reaction on two ab initio potential energy surfaces
journal, November 1998

  • Castillo, J. F.; Hartke, B.; Werner, H. -J.
  • The Journal of Chemical Physics, Vol. 109, Issue 17
  • DOI: 10.1063/1.477401

Reduced dimensionality theory of quantum reactive scattering
journal, June 1991

  • Bowman, Joel M.
  • The Journal of Physical Chemistry, Vol. 95, Issue 13
  • DOI: 10.1021/j100166a014

Lowest quartet states of heteronuclear alkali-metal trimers
journal, September 2010


Variational calculations of dispersion coefficients for interactions among H, He, and Li atoms
journal, October 1996


Dynamics of the D + + H 2 → HD + H + reaction at the low energy regime by means of a statistical quantum method
journal, August 2013

  • González-Lezana, Tomás; Honvault, Pascal; Scribano, Yohann
  • The Journal of Chemical Physics, Vol. 139, Issue 5
  • DOI: 10.1063/1.4816638

Coupled-channel statistical theory of the ()+ and ()+ insertion reactions
journal, August 2001

  • Rackham, Edward J.; Huarte-Larranaga, Fermin; Manolopoulos, David E.
  • Chemical Physics Letters, Vol. 343, Issue 3-4
  • DOI: 10.1016/S0009-2614(01)00707-2

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

Localized representations for large amplitude molecular vibrations
journal, September 1988


Ab initio properties of Li-group-II molecules for ultracold matter studies
journal, October 2011

  • Kotochigova, Svetlana; Petrov, Alexander; Linnik, Maria
  • The Journal of Chemical Physics, Vol. 135, Issue 16
  • DOI: 10.1063/1.3653974

Quantum Dynamics of Ultracold N a + N a 2 Collisions
journal, September 2002


Three-body nonadditive forces between spin-polarized alkali-metal atoms
journal, May 2003


Reactions of ultracold alkali-metal dimers
journal, June 2010


Multichannel modeling and two-photon coherent transfer paths in NaK
journal, August 2013


Quantum Degenerate Mixtures of Alkali and Alkaline-Earth-Like Atoms
journal, May 2011


Gaussian basis sets for use in correlated molecular calculations. VII. Valence, core-valence, and scalar relativistic basis sets for Li, Be, Na, and Mg
journal, May 2010

  • Prascher, Brian P.; Woon, David E.; Peterson, Kirk A.
  • Theoretical Chemistry Accounts, Vol. 128, Issue 1
  • DOI: 10.1007/s00214-010-0764-0

Dispersion interactions and reactive collisions of ultracold polar molecules
journal, July 2010


Chemical Reactions of Atomic Lithium and Molecular Calcium Monohydride at 1 K
journal, May 2012


Scattering of ultracold molecules in the highly resonant regime
journal, January 2013


Quantum Magnetism with Multicomponent Dipolar Molecules in an Optical Lattice
journal, May 2006


Rate Coefficients in Astrochemistry
book, January 1988


Symmetry-adapted perturbation theory of three-body nonadditivity in Ar trimer
journal, June 1997

  • Lotrich, Victor F.; Szalewicz, Krzysztof
  • The Journal of Chemical Physics, Vol. 106, Issue 23
  • DOI: 10.1063/1.473832

Quantum dynamics of complex-forming bimolecular reactions
journal, January 2012


Quantum theory of bimolecular chemical reactions
journal, June 2000


Extensive analysis of the X1Σ+g ground state of 7Li2 by laser-induced fluorescence Fourier transform spectrometry
journal, February 1986


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

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

The H +  + H 2 reaction
journal, July 2014

  • González-Lezana, Tomás; Honvault, Pascal
  • International Reviews in Physical Chemistry, Vol. 33, Issue 3
  • DOI: 10.1080/0144235X.2014.943470

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


Statistical quantum studies on insertion atom–diatom reactions
journal, January 2007


Theoretical studies on bimolecular reaction dynamics
journal, July 2008


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

Theories of reactive scattering
journal, October 2006

  • Hu, Wenfang; Schatz, George C.
  • The Journal of Chemical Physics, Vol. 125, Issue 13
  • DOI: 10.1063/1.2213961

Hyperspherical close-coupling calculation of integral cross sections for the reaction H+H2→H2+H
journal, November 1989


Coupled Equations and the Minimum Principle for Collisions of an Atom and a Diatomic Molecule, Including Rearrangements
journal, January 1969

  • Miller, William H.
  • The Journal of Chemical Physics, Vol. 50, Issue 1
  • DOI: 10.1063/1.1670812

Collisions of ultracoldtrapped atoms
journal, January 1989

  • Julienne, Paul S.; Mies, Frederick H.
  • Journal of the Optical Society of America B, Vol. 6, Issue 11
  • DOI: 10.1364/JOSAB.6.002257

Chemistry at ultracold temperatures
journal, June 2001


Works referencing / citing this record:

Universality and chaoticity in ultracold K+KRb chemical reactions
journal, July 2017

  • Croft, J. F. E.; Makrides, C.; Li, M.
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms15897

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

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