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Cited by 30Atomic and Molecular PhysicsAdvanced Frequency and Time StandardsAtomic and Subatomic Physics Research

Diamagnetic correction to the9Be+ground-state hyperfine constant

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Shiga, N., Itano, W. M., Bollinger, J. J.·2011·Physical Review A
DOI 10.1103/physreva.84.012510
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Abstract

We report an experimental determination of the diamagnetic correction to the ${}^{9}$Be${}^{+}$ ground state hyperfine constant $A$. We measured $A$ $=$ $\ensuremath{-}625\phantom{\rule{0.16em}{0ex}}008\phantom{\rule{0.16em}{0ex}}837.371(11)$ Hz at a magnetic field $B$ of 4.4609 T. Comparison with previous results, obtained at lower values of $B$ (0.68 T and 0.82 T), yields the diamagnetic shift coefficient $k$ $=$ $2.63(18)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}11}$ T${}^{\ensuremath{-}2}$, where $A(B)={A}_{0}(1+k{B}^{2})$. The zero-field hyperfine constant ${A}_{0}$ is determined to be $\ensuremath{-}625\phantom{\rule{0.16em}{0ex}}008\phantom{\rule{0.16em}{0ex}}837.044(12)$ Hz. The $g$-factor ratio ${{g}_{I}}^{\ensuremath{'}}/{g}_{J}$ is determined to be $2.134\phantom{\rule{0.16em}{0ex}}779\phantom{\rule{0.16em}{0ex}}852\phantom{\rule{0.16em}{0ex}}7(10)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$, which is equal to the value measured at lower $B$ to within experimental error. Upper limits are placed on some other corrections to the Breit-Rabi formula. The measured value of $k$ agrees with theoretical estimates.

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  • For 9Be+ near 0.6774 T (0.8194 T), the residual quadratic field sensitivity of the 321-MHz (303-MHz) clock transition is ∼15 Hz/mT2.

    “For 9Be+ near 0.6774 T (0.8194 T), the residual quadratic field sensitivity of the 321-MHz (303-MHz) clock transition is∼ 15 Hz/mT2.”

    From Second-Scale \n 9 \n Be \n + \n Spin Coherence in a Compact Penning Trap (2022) · cites this paper as [39]

    Section III (pp. 9–10) identifies the 321-MHz and 303-MHz transitions at approximately 0.6774 T and 0.8194 T, and says their first derivatives with respect to field are zero near those values. It does not report the claimed residual quadratic sensitivity of approximately 15 Hz/mT². (LLM, conf=0.87)

    Experimental — accuracy not yet measured

  • Magnetic field shifts of the 9Be+ ground state hyperfine sublevels are well-described by the Breit-Rabi formula.

    “Magnetic field shifts of the 9Be+ ground state hyperfine sublevels are well-described by the Breit-Rabi formula [39].”

    From Second-Scale \n 9 \n Be \n + \n Spin Coherence in a Compact Penning Trap (2022) · cites this paper as [39]

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Research works printed but not linked: 3

  1. [27]J. J. Bollinger, D. J. Heinzen, W. M. Itano, S. L. Gilbert, and D. J. Wineland, IEEE Trans. Instrum. Meas. 40 , 126 (1991).
  2. [34]A. Dalgarno and J. T. Lewis, Proc. Roy. Soc. London A 233 , 70 (1955).
  3. [40]W. M. Itano, N. Shiga, and J. J. Bollinger, in ICOLS2009 Abstract, 19th International Conference on Laser Spectroscopy, Kussharo, Hokkaido, Japan, 7-13 June 2009 (2009) pp. 143-144.

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Authors
Shiga, N., Itano, W. M., & Bollinger, J. J.
Affiliations
National Institute of Standards and Technology (US)
ORCID
Venue
Physical Review A
Publisher
American Physical Society (APS)
Published
2011-07-22
Volume
84
Issue
1
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
DOI
10.1103/physreva.84.012510
OpenAlex
W1509737588
Cited by
30
References
50
Citations by year
2026: 3 · 2025: 3 · 2024: 3 · 2023: 5 · 2022: 2 · 2021: 1 · 2020: 4 · 2019: 3 · 2017: 2 · 2016: 2 · 2014: 2
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review A (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Atomic and Molecular Physics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Frequency and Time Standards
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Atomic and Subatomic Physics Research
Keywords
hyperfine structure, hyperfine coupling constants, magnetic field dependence, atomic energy levels

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