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Title: Several Levels of Theory for Description of Isotope Effects in Ozone: Symmetry Effect and Mass Effect

Abstract

The essential components of theory for the description of isotope effects in recombination reaction that forms ozone are presented, including the introduction of three reaction pathways for symmetric and asymmetric isotopomers, a brief review of relevant experimental data for singly- and doubly substituted isotopologues, the definitions of ζ-effect and η-effect, and the introduction of isotopic enrichment δ. Two levels of theory are developed to elucidate the role of molecular symmetry, atomic masses, vibrational zero-point energies, and rotational excitations in the recombination process. Here, the issue of symmetry is not trivial, since the important factors, such as 1/2 and 2, appear in seven different places in the formalism. It is demonstrated that if all these effects are taken into account properly, then no anomalous isotope effects emerge. At the next level of theory, a model is considered in which one scattering resonance (sitting right at the top of centrifugal barrier) is introduced per ro-vibrational channel. It is found that this approach is equivalent to statistical treatment with partition functions at the transition state. Accurate calculations using hyper-spherical coordinates show that no isotope effects come from difference in the number of states. In contrast, differences in vibrational and rotational energies lead tomore » significant isotope effects. However, those effects appear to be local, found for the rather extreme values of rotational quantum numbers. They largely cancel when rate coefficients are computed for the thermal distribution of rotational excitations. Although large isotope effects (observed in experiments) are not reproduced here, this level of theory can be used as a foundation for more detailed computational treatment, with accurate information about resonance energies and lifetimes computed and included.« less

Authors:
 [1]; ORCiD logo [2]
  1. Marquette Univ., Milwaukee, WI (United States). Dept. of Chemistry; Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Div. (T-1, MS B221)
  2. Marquette Univ., Milwaukee, WI (United States). Dept. of Chemistry
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Univ. of California, Oakland, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1543638
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory
Additional Journal Information:
Journal Volume: 122; Journal Issue: 47; Journal ID: ISSN 1089-5639
Publisher:
American Chemical Society
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Chemistry; Physics

Citation Formats

Teplukhin, Alexander, and Babikov, Dmitri. Several Levels of Theory for Description of Isotope Effects in Ozone: Symmetry Effect and Mass Effect. United States: N. p., 2018. Web. doi:10.1021/acs.jpca.8b09025.
Teplukhin, Alexander, & Babikov, Dmitri. Several Levels of Theory for Description of Isotope Effects in Ozone: Symmetry Effect and Mass Effect. United States. doi:10.1021/acs.jpca.8b09025.
Teplukhin, Alexander, and Babikov, Dmitri. Wed . "Several Levels of Theory for Description of Isotope Effects in Ozone: Symmetry Effect and Mass Effect". United States. doi:10.1021/acs.jpca.8b09025. https://www.osti.gov/servlets/purl/1543638.
@article{osti_1543638,
title = {Several Levels of Theory for Description of Isotope Effects in Ozone: Symmetry Effect and Mass Effect},
author = {Teplukhin, Alexander and Babikov, Dmitri},
abstractNote = {The essential components of theory for the description of isotope effects in recombination reaction that forms ozone are presented, including the introduction of three reaction pathways for symmetric and asymmetric isotopomers, a brief review of relevant experimental data for singly- and doubly substituted isotopologues, the definitions of ζ-effect and η-effect, and the introduction of isotopic enrichment δ. Two levels of theory are developed to elucidate the role of molecular symmetry, atomic masses, vibrational zero-point energies, and rotational excitations in the recombination process. Here, the issue of symmetry is not trivial, since the important factors, such as 1/2 and 2, appear in seven different places in the formalism. It is demonstrated that if all these effects are taken into account properly, then no anomalous isotope effects emerge. At the next level of theory, a model is considered in which one scattering resonance (sitting right at the top of centrifugal barrier) is introduced per ro-vibrational channel. It is found that this approach is equivalent to statistical treatment with partition functions at the transition state. Accurate calculations using hyper-spherical coordinates show that no isotope effects come from difference in the number of states. In contrast, differences in vibrational and rotational energies lead to significant isotope effects. However, those effects appear to be local, found for the rather extreme values of rotational quantum numbers. They largely cancel when rate coefficients are computed for the thermal distribution of rotational excitations. Although large isotope effects (observed in experiments) are not reproduced here, this level of theory can be used as a foundation for more detailed computational treatment, with accurate information about resonance energies and lifetimes computed and included.},
doi = {10.1021/acs.jpca.8b09025},
journal = {Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory},
number = 47,
volume = 122,
place = {United States},
year = {2018},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 8 works
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Figures / Tables:

Figure 1 Figure 1: Two upper frames show the side- and the front-views of the PES of O3 presented as iso-energy surface in hyper-spherical coordinates. Frame a permits one to see, in three dimensions, how the reagent channels connect to the product wells through narrow transition states, as the process of ozonemore » formation proceeds along the reaction path, described here by the hyper-radius ρ. Frame b emphasizes the symmetry of the process described by the hyper-angle $\varphi$: three channels, six transition states and three wells. Frame c correlates with frame b, but gives a “map” of possible formation pathways for the case of singly substituted isotopologue, indicating the wells for symmetric 16O18O16O and asymmetric 16O16O18O, the three types of transition states for the processes A, B, and S in eqs 4 and 5, and the two types of the reagent channels, 16O + 18O16O and 16O16O + 18O. The dashed line represents the reflection plane of symmetry.« less

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Works referencing / citing this record:

Use of Isotope Effects To Understand the Present and Past of the Atmosphere and Climate and Track the Origin of Life
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Use of Isotope Effects To Understand the Present and Past of the Atmosphere and Climate and Track the Origin of Life
journal, May 2019

  • Thiemens, Mark H.; Lin, Mang
  • Angewandte Chemie International Edition, Vol. 58, Issue 21
  • DOI: 10.1002/anie.201812322

Development of a potential energy surface for the O 3 –Ar system: rovibrational states of the complex
journal, January 2019

  • Sur, Sangeeta; Quintas-Sánchez, Ernesto; Ndengué, Steve A.
  • Physical Chemistry Chemical Physics, Vol. 21, Issue 18
  • DOI: 10.1039/c9cp01044k

Rotationally inelastic scattering of O 3 –Ar: state-to-state rates with the multiconfigurational time dependent Hartree method
journal, January 2020

  • Sur, Sangeeta; Ndengué, Steve A.; Quintas-Sánchez, Ernesto
  • Physical Chemistry Chemical Physics, Vol. 22, Issue 4
  • DOI: 10.1039/c9cp06501f

The ratio of the number of states in asymmetric and symmetric ozone molecules deviates from the statistical value of 2
journal, March 2019

  • Gayday, Igor; Teplukhin, Alexander; Babikov, Dmitri
  • The Journal of Chemical Physics, Vol. 150, Issue 10
  • DOI: 10.1063/1.5082850