Symmetry and the geometric phase in ultracold hydrogen-exchange reactions
Abstract
Quantum reactive scattering calculations are reported for the ultracold hydrogen-exchange reaction and its non-reactive atom-exchange isotopic counterparts, proceeding from excited rotational states. It is shown that while the geometric phase (GP) does not necessarily control the reaction to all final states, one can always find final states where it does. For the isotopic counterpart reactions, these states can be used to make a measurement of the GP effect by separately measuring the even and odd symmetry contributions, which experimentally requires nuclear-spin final-state resolution. This follows from symmetry considerations that make the even and odd identical-particle exchange symmetry wavefunctions which include the GP locally equivalent to the opposite symmetry wavefunctions which do not. It is shown how this equivalence can be used to define a constant which quantifies the GP effect and can be obtained solely from experimentally observable rates. Furthermore, this equivalence reflects the important role that discrete symmetries play in ultracold chemistry and highlights the key role that ultracold reactions can play in understanding fundamental aspects of chemical reactivity more generally.
- Authors:
-
- Univ. of Nevada, Las Vegas, NV (United States)
- 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 Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 1467202
- Alternate Identifier(s):
- OSTI ID: 1375071
- Report Number(s):
- LA-UR-17-23377
Journal ID: ISSN 0021-9606
- Grant/Contract Number:
- AC52-06NA25396; 20170221ER
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Chemical Physics
- Additional Journal Information:
- Journal Volume: 147; Journal Issue: 7; 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; Atomic and Nuclear Physics; Inorganic and Physical Chemistry; geometric phase; Berry phase; ultracold chemistry; molecular collisions
Citation Formats
Croft, James F. E., Hazra, Jisha, Balakrishnan, N., and Kendrick, Brian Kent. Symmetry and the geometric phase in ultracold hydrogen-exchange reactions. United States: N. p., 2017.
Web. doi:10.1063/1.4998226.
Croft, James F. E., Hazra, Jisha, Balakrishnan, N., & Kendrick, Brian Kent. Symmetry and the geometric phase in ultracold hydrogen-exchange reactions. United States. https://doi.org/10.1063/1.4998226
Croft, James F. E., Hazra, Jisha, Balakrishnan, N., and Kendrick, Brian Kent. Tue .
"Symmetry and the geometric phase in ultracold hydrogen-exchange reactions". United States. https://doi.org/10.1063/1.4998226. https://www.osti.gov/servlets/purl/1467202.
@article{osti_1467202,
title = {Symmetry and the geometric phase in ultracold hydrogen-exchange reactions},
author = {Croft, James F. E. and Hazra, Jisha and Balakrishnan, N. and Kendrick, Brian Kent},
abstractNote = {Quantum reactive scattering calculations are reported for the ultracold hydrogen-exchange reaction and its non-reactive atom-exchange isotopic counterparts, proceeding from excited rotational states. It is shown that while the geometric phase (GP) does not necessarily control the reaction to all final states, one can always find final states where it does. For the isotopic counterpart reactions, these states can be used to make a measurement of the GP effect by separately measuring the even and odd symmetry contributions, which experimentally requires nuclear-spin final-state resolution. This follows from symmetry considerations that make the even and odd identical-particle exchange symmetry wavefunctions which include the GP locally equivalent to the opposite symmetry wavefunctions which do not. It is shown how this equivalence can be used to define a constant which quantifies the GP effect and can be obtained solely from experimentally observable rates. Furthermore, this equivalence reflects the important role that discrete symmetries play in ultracold chemistry and highlights the key role that ultracold reactions can play in understanding fundamental aspects of chemical reactivity more generally.},
doi = {10.1063/1.4998226},
journal = {Journal of Chemical Physics},
number = 7,
volume = 147,
place = {United States},
year = {Tue Aug 15 00:00:00 EDT 2017},
month = {Tue Aug 15 00:00:00 EDT 2017}
}
Web of Science
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