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Extreme ultraviolet spectra of highly charged ions put lutetium's nucleus below ytterbium's

NIFS-centered researchers measured four highly charged ions and report lutetium's nucleus is slightly smaller than ytterbium's. Earlier evaluations had odd-proton lutetium as the larger nucleus, an anomaly left unexplained for years.

The Scientist · Science desk

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Illustration accompanying Extreme ultraviolet spectra of highly charged ions put lutetium's nucleus below ytterbium's
Generated illustration
Lu and Yb ions paired by bound electron count Atomic numbers of lutetium and ytterbium, and bound electrons in each pair of highly charged ions whose emission line energies were compared.

Key figures: lutetium, whose nucleus was found slightly smaller, has atomic number 71; ytterbium has atomic number 70. Ions Lu59+ and Yb58+ each have 12 bound electrons; Lu60+ and Yb59+ each have 11.

Lu and Yb ions paired by bound electron count
FigureValueNoteClaim
Lutetium71 atomic number4
Ytterbium70 atomic number4
Lu59+ and Yb58+, each12 bound electrons10
Lu60+ and Yb59+, each11 bound electrons10

What happened

  • Electron scattering, muon atomic spectroscopy and laser spectroscopy had all measured nuclear radii, but comparing different elements directly was not easy.
  • The nuclear-size effect on atomic energy levels is normally extremely small, so the group used highly charged ions, whose bound electrons sit close to the nucleus, to amplify it.
  • At the University of Electro-Communications' Tokyo-EBIT, the team alternately measured extreme ultraviolet emission spectra from lutetium and ytterbium ions.

Why it matters

  • What's now possible capability Heavy-element radii become reachable from extreme ultraviolet lines of highly charged ions, a technique first developed for relativistic atomic physics and fusion science.
  • What it limits constraint The radii are inferred, not read off: line-energy differences became radius differences only through atomic structure calculations, so the ordering is only as sound as those calculations.
  • What doesn't add up contradiction The new radii cut against the picture from conventional data and also point to even-odd effects current nuclear structure theory cannot fully explain, so the anomaly goes and a theory gap stays.

The four ions pair up cleanly. Lutetium is atomic number 71 and ytterbium 70 [4], so Lu59+ and Yb58+ each hold 12 bound electrons, and Lu60+ and Yb59+ each hold 11 [10]. We'd expect matched electron counts to simplify the atomic structure calculation, since each pair then differs mainly in the nucleus.

The design choice that matters is the shared apparatus. Both elements were run on Tokyo-EBIT, with the spectra measured alternately [3]. In our view that guards against instrument drift and against offsets between laboratories. The old reversal came from evaluations based on past experiments [12]. This comparison comes from one instrument.

The thing this doesn't tell you is how large the gap is. The phys.org account of the paper calls lutetium "slightly smaller" [4] and does not include a radius difference or an uncertainty, so the margin over zero is out of view. The denominator is small too: two elements, two charge states each, four ions in all [11].

We think the direction is the finding to take seriously and the magnitude is the one to wait for. The paper, in Nature Communications [5], is hedged to match, according to that account: the result "suggests" the expected odd-even staggering holds, "implying" the "reversal problem" has been resolved [13].

The group says it will extend the work to neighboring rare-earth elements and radioactive nuclides, to determine whether the effect is general or specific to certain nuclides [8].

What to watch

  • The paper's own radius difference and uncertainty for lutetium and ytterbium, which would show how far the 'slightly smaller' result sits from zero.
  • An independent measurement of the lutetium-ytterbium ordering with a different technique or instrument.
  • Nuclear structure calculations that reproduce the even-odd effect the group says current theories cannot fully explain.

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  1. [1]

    Electron scattering, muon atomic spectroscopy and laser spectroscopy of neutral atoms and singly charged ions have been used to measure nuclear radii, but it has not been easy to directly compare different elements.

    Reported Supported Source: phys.org summary of the Nature Communications studyView cited source
  2. [2]

    The volume shift caused by nuclear size is normally extremely small, so the group used highly charged ions, whose bound electrons sit near the nucleus, to amplify it.

    Reported Supported Source: phys.org summary of the Nature Communications studyView cited source
  3. [3]

    The researchers generated highly charged ions of lutetium and ytterbium at the University of Electro-Communications' Tokyo-EBIT, alternately measured high-resolution extreme ultraviolet emission spectra, and compared emission line energies of Lu59+, Lu60+, Yb58+ and Yb59+.

    Reported Supported Source: phys.org summary of the Nature Communications studyView cited source

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Sources

1 independent publisher whose own reporting we read for this story.

  1. phys.org

    1 article · October 15, 2026

    New spectroscopy method enables direct comparisons of nuclear sizes across heavy elements

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