Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Article
  • Published:

Laser spectroscopic characterization of the nuclear-clock isomer 229mTh

This article has been updated

Abstract

The isotope 229Th is the only nucleus known to possess an excited state 229mTh in the energy range of a few electronvolts—a transition energy typical for electrons in the valence shell of atoms, but about four orders of magnitude lower than typical nuclear excitation energies. Of the many applications that have been proposed for this nuclear system, which is accessible by optical methods, the most promising is a highly precise nuclear clock that outperforms existing atomic timekeepers. Here we present the laser spectroscopic investigation of the hyperfine structure of the doubly charged 229mTh ion and the determination of the fundamental nuclear properties of the isomer, namely, its magnetic dipole and electric quadrupole moments, as well as its nuclear charge radius. Following the recent direct detection of this long-sought isomer, we provide detailed insight into its nuclear structure and present a method for its non-destructive optical detection.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Fig. 1: Experimental setup and 229Th2+ level scheme.
Fig. 2: Two-step excitation spectra.
Fig. 3: Comparison of excitation spectra measured in the PTB and LMU traps.
Fig. 4: HFS resonances of nuclear isomeric and ground states.

Similar content being viewed by others

Change history

  • 05 November 2018

    Coding errors in some of the equations in the online version of this article were fixed on Monday 5 November 2018.

References

  1. Matinyan, S. Lasers as a bridge between atomic and nuclear physics. Phys. Rep. 298, 199–249 (1998).

    Article  ADS  CAS  Google Scholar 

  2. Tkalya, E. V. Properties of the optical transition in the 229Th nucleus. Phys. Usp. 46, 315–320 (2003).

    Article  ADS  CAS  Google Scholar 

  3. Karpeshin, F. F. & Trzhaskovskaya, M. B. Impact of the electron environment on the lifetime of the 229Thm low-lying isomer. Phys. Rev. C 76, 054313 (2007).

    Article  ADS  Google Scholar 

  4. Peik, E. & Tamm, C. Nuclear laser spectroscopy of the 3.5 eV transition in 229Th. Europhys. Lett. 61, 181–186 (2003).

    Article  ADS  CAS  Google Scholar 

  5. Campbell, C. J. et al. Single-ion nuclear clock for metrology at the 19th decimal place. Phys. Rev. Lett. 108, 120802 (2012).

    Article  ADS  CAS  Google Scholar 

  6. Peik, E. & Okhapkin, M. Nuclear clocks based on resonant excitation of γ-transitions. C. R. Phys. 16, 516–523 (2015).

    Article  CAS  Google Scholar 

  7. Kroger, L. A. & Reich, C. W. Features of the low energy level scheme of 229Th as observed in the α-decay of 233U. Nucl. Phys. A 259, 29–60 (1976).

    Article  ADS  Google Scholar 

  8. Helmer, R. G. & Reich, C. W. An excited state of 229Th at 3.5 eV. Phys. Rev. C 49, 1845–1858 (1994).

    Article  ADS  CAS  Google Scholar 

  9. Barci, V., Ardisson, G., Barci-Funel, G., Weiss, B. & El Samad, O. Nuclear structure of 229Th from γ spectroscopy study of 233U α-particle decay. Phys. Rev. C 68, 034329 (2003).

    Article  ADS  Google Scholar 

  10. Gulda, K. et al. The nuclear structure of 229Th. Nucl. Phys. A 703, 45–69 (2002).

    Article  ADS  Google Scholar 

  11. Ruchowska, E. et al. Nuclear structure of 229Th. Phys. Rev. C 73, 044326 (2006).

    Article  ADS  Google Scholar 

  12. Bemis, C. E. et al. Coulomb excitation of states in 229Th. Phys. Scr. 38, 657–663 (1988).

    Article  ADS  CAS  Google Scholar 

  13. Burke, D. G., Garrett, P. E., Qu, T. & Naumann, R. A. Nuclear structure of 229,231Th studied with the 230,232Th(d,t) reactions. Nucl. Phys. A 809, 129–170 (2008).

    Article  ADS  Google Scholar 

  14. Nilsson, S. G. Binding states of individual nucleons in strongly deformed nuclei. K. Dan. Vidensk. Selsk Mat. Fys. Medd. 29, 1–69 (1955).

    MATH  Google Scholar 

  15. Safronova, M. S., Safronova, U. I., Radnaev, A. G., Campbell, C. J. & Kuzmich, A. Magnetic dipole and electric quadrupole moments of the 229Th nucleus. Phys. Rev. A 88, 060501 (2013).

    Article  ADS  Google Scholar 

  16. Beck, B. R. et al. Energy splitting of the ground-state doublet in the nucleus 229Th. Phys. Rev. Lett. 98, 142501 (2007).

    Article  ADS  CAS  Google Scholar 

  17. Beck, B. R. et al. Improved Value for the Energy Splitting of the Ground-State Doublet in the Nucleus 229m Th. Internal Report LLNL-PROC-415170 (Lawrence Livermore National Laboratory, 2009); available at https://e-reports-ext.llnl.gov/pdf/375773.pdf.

  18. Dykhne, A. M. & Tkalya, E. V. Matrix element of the anomalously low-energy (3.5 ± 0.5 eV) transition in 229Th and the isomer lifetime. JETP Lett. 67, 251–256 (1998).

    Article  ADS  Google Scholar 

  19. Tkalya, E. V., Schneider, C., Jeet, J. & Hudson, E. R. Radiative lifetime and energy of the low-energy isomeric level in 229Th. Phys. Rev. C 92, 054324 (2015).

    Article  ADS  Google Scholar 

  20. Minkov, N. & Pálffy, A. Reduced transition probabilities for the gamma decay of the 7.8 eV isomer in 229Th. Phys. Rev. Lett. 118, 212501 (2017).

    Article  ADS  Google Scholar 

  21. Tkalya, E. V. Proposal for a nuclear gamma-ray laser of optical range. Phys. Rev. Lett. 106, 162501 (2011).

    Article  ADS  CAS  Google Scholar 

  22. Litvinova, E., Feldmaier, H., Dobaczewski, J. & Flambaum, V. Nuclear structure of lowest 229Th states and time-dependent fundamental constants. Phys. Rev. C 79, 064303 (2009).

    Article  ADS  Google Scholar 

  23. Jeet, J. et al. Results of a direct search using synchrotron radiation for the low-energy 229Th nuclear isomeric transition. Phys. Rev. Lett. 114, 253001 (2015).

    Article  ADS  Google Scholar 

  24. Yamaguchi, A. et al. Experimental search for the low-energy nuclear transition in 229Th with undulator radiation. New J. Phys. 17, 053053 (2015).

    Article  ADS  Google Scholar 

  25. von der Wense, L. et al. Direct detection of the 229Th nuclear clock transition. Nature 533, 47–51 (2016).

    Article  ADS  Google Scholar 

  26. Seiferle, B., von der Wense, L. & Thirolf, P. G. Lifetime measurement of the 229Th nuclear isomer. Phys. Rev. Lett. 118, 042501 (2017).

    Article  ADS  Google Scholar 

  27. Herrera-Sancho, O. A. et al. Two-photon laser excitation of trapped 232Th+ ions via the 402-nm resonance line. Phys. Rev. A 85, 033402 (2012).

    Article  ADS  Google Scholar 

  28. Bjorkholm, J. E. & Liao, P. F. Line shape and strength of two-photon absorption in an atomic vapor with a resonant or nearly resonant intermediate state. Phys. Rev. A 14, 751–760 (1976).

    Article  ADS  CAS  Google Scholar 

  29. Kälber, W. et al. Nuclear radii of thorium isotopes from laser spectroscopy of stored ions. Z. Phys. A 334, 103–108 (1989).

    ADS  Google Scholar 

  30. Kopfermann, H. Nuclear Moments (Academic, New York, 1958).

    Google Scholar 

  31. Bohr, A. & Weisskopf, V. F. The influence of nuclear structure on the hyperfine structure of heavy elements. J. Phys. G 77, 94–98 (1950).

    CAS  MATH  Google Scholar 

  32. Büttgenbach, S. Magnetic hyperfine anomalies. Hyperfine Interact. 20, 1–64 (1984).

    Article  ADS  Google Scholar 

  33. Gerstenkorn, S. et al. Structures hyperfines du spectre d’étincelle, moment magnétique et quadrupolaire de l’isotope 229 du thorium. J. Phys. France 35, 483–495 (1974).

    Article  CAS  Google Scholar 

  34. Campbell, C. J., Radnaev, A. G. & Kuzmich, A. Wigner crystals of 229Th for optical excitation of the nuclear isomer. Phys. Rev. Lett. 106, 223001 (2011).

    Article  ADS  CAS  Google Scholar 

  35. Chasman, R. R., Ahmad, I., Friedman, A. M. & Erskine, J. R. Survey of single-particle states in the mass region A > 228*. Rev. Mod. Phys. 49, 833–891 (1977).

    Article  ADS  CAS  Google Scholar 

  36. King, W. H. Isotope Shifts in Atomic Spectra (Plenum, New York, 1984).

    Book  Google Scholar 

  37. Kazakov, G. A. et al. Performance of a 229Thorium solid-state nuclear clock. New J. Phys. 14, 083019 (2012).

    Article  ADS  Google Scholar 

  38. Rellergert, W. G. et al. Constraining the evolution of the fundamental constants with a solid-state optical frequency reference based on the 229Th nucleus. Phys. Rev. Lett. 104, 200802 (2010).

    Article  ADS  Google Scholar 

  39. Flambaum, V. V. Enhanced effect of temporal variation of the fine structure constant and the strong interaction in 229Th. Phys. Rev. Lett. 97, 092502 (2006).

    Article  ADS  CAS  Google Scholar 

  40. Hayes, A. C., Friar, J. L. & Möller, P. Splitting sensitivity of the ground and 7.6 eV isomeric states of 229Th. Phys. Rev. C 78, 024311 (2008).

    Article  ADS  Google Scholar 

  41. Berengut, J. C., Dzuba, V. A., Flambaum, V. V. & Porsev, S. G. Proposed experimental method to determine α sensitivity of splitting between ground and 7.6 eV isomeric state in 229Th. Phys. Rev. Lett. 102, 210801 (2009).

    Article  ADS  CAS  Google Scholar 

  42. Herrera-Sancho, O. A., Nemitz, N., Okhapkin, M. V. & Peik, E. Energy levels of Th+ between 7.3 and 8.3 eV. Phys. Rev. A 88, 012512 (2013).

    Article  ADS  Google Scholar 

  43. Vascon, A. et al. Elucidation of constant current density molecular plating. Nucl. Instrum. Meth. A 696, 180–191 (2012).

    Article  ADS  CAS  Google Scholar 

  44. von der Wense, L. On the Direct Detection of 229m Th. PhD thesis, Ludwig-Maximilians-Universität, Munich (2016).

  45. von der Wense, L., Seiferle, B., Laatiaoui, M. & Thirolf, P. G. Determination of the extraction efficiency for 233U source α-recoil ions from the MLL buffer-gas stopping cell. Eur. Phys. J. A 51, 29 (2015).

    Article  ADS  Google Scholar 

  46. McCarron, D. J., King, S. A. & Cornish, S. L. Modulation transfer spectroscopy in atomic rubidium. Meas. Sci. Technol. 19, 105601 (2008).

    Article  ADS  Google Scholar 

  47. Sobelman, I. I. Atomic Spectra and Radiative Transitions (Springer, Berlin, 1979).

    Book  Google Scholar 

  48. Palmer, B. A., Keller, R. A. & Engleman Jr., R. An Atlas of Uranium Emission Intensities in a Hollow Cathode Discharge. Report No. LA-8251-MS (Los Alamos Scientific Laboratory, 1980).

  49. Blaise, J. & Wyart, J.-F. Database of Selected Constants, Energy Levels and Atomic Spectra of Actinides http://web2.lac.u-psud.fr/lac/Database/Contents.html (2017).

  50. Blaise, J., Fred, M. & Gutmacher, R. G. The Atomic Spectrum of Plutonium. Report No. ANL-83-95 (Argonne National Laboratory, 1983).

  51. Wright, T. G. & Breckenridge, W. H. Radii of atomic ions determined from diatomic ion–He bond lengths. J. Phys. Chem. A 114, 3182–3189 (2010).

    Article  CAS  Google Scholar 

Download references

Acknowledgements

We thank C. Mokry, J. Runke, K. Eberhardt and N. G. Trautmann for the production of the 233U source and M. Ehlers, S. Hennig and K. Kossert for the PTB 229Th source. We acknowledge discussions with C. Tamm and B. Lipphardt and thank T. Leder, M. Menzel and A. Hoppmann for technical support. We acknowledge financial support from the European Union’s Horizon 2020 Research and Innovation Programme under Grant Agreement number 664732 (nuClock), from DFG through CRC 1227 (DQ-mat, project B04) and TH956-3-2 and from the LMU Department of Medical Physics via the Maier–Leibnitz Laboratory.

Reviewer Information

Nature thanks E. Hudson, M. Safronova and the other anonymous reviewer(s) for their contribution to the peer review of this work.

Author information

Authors and Affiliations

Authors

Contributions

J.T. and M.V.O. developed the spectroscopy lasers. J.T., P.G., M.V.O., L.v.d.W., B.S., D.M.M. and P.G.T. did preparatory experimental work and performed the spectroscopy experiment. J.T., P.G., M.V.O. and E.P. performed the data analysis. M.V.O., P.G.T. and E.P. supervised the experiment. The 233U source was produced by the group of C.E.D. All authors discussed the results. M.V.O., J.T., P.G. and E.P. wrote the manuscript with input from all authors.

Corresponding author

Correspondence to Ekkehard Peik.

Ethics declarations

Competing interests

The authors declare no competing interests.

Additional information

Publisher’s note: Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Extended data figures and tables

Extended Data Fig. 1 Detailed level scheme of the two-step excitation.

Transitions and electronic configurations of the initial (g), intermediate (i) and excited (e) states relevant to the experiment are shown, labelled by their energy in cm−1 and the electronic angular momentum J. Hyperfine sub-levels are indicated by their total angular momentum F and Fm. Transitions belonging to the same intermediate hyperfine level are depicted with the same colour. The hyperfine intervals are calculated from the hyperfine constants A and B presented in Table 1.

Extended Data Fig. 2 Scheme of the optical setup.

The spectroscopy laser of the first step excitation (484 nm) is locked to the wavemeter, which is calibrated by a Rb-stabilized ECDL at 780 nm. The second-step (1,164 nm) laser tuning is monitored with the confocal cavity. The ECDL at 459 nm is used to detect the number of ions in the traps. The loading of Th2+ in the PTB trap is provided by ablation (nanosecond Nd:YAG laser at 1,064 nm) and further three-photon ionization. The first step uses a 402-nm ECDL, pulsed via an acousto-optical modulator (AOM), and the second and third steps involve third-harmonic generation (THG) of a nanosecond Ti:Sa laser. Molecular compounds of Th+ are photodissociated by pulses from a Q-switched diode-pumped solid-state laser (Q-DPSS).

Extended Data Fig. 3 Selected spectra obtained by two-step excitation.

The resonances recorded for different positions of the 484-nm ECDL show the observed isomeric peaks for the case of co-propagating beams (labelled ‘i’). The resonances that originate from collisions of ions in the intermediate state are labelled ‘c’. The description of the peaks and their total angular momenta are given in Extended Data Table 1. Black lines show the recorded data and blue lines represent a multi-Lorentz fit with fixed width, which is used to extract the line centres and frequency intervals.

Source data

Extended Data Fig. 4 Mapping of the second excitation step.

The experimental points represent amplitudes and positions of the two-step resonances obtained by setting the 484-nm laser at certain frequencies and tuning the 1,164-nm laser. The frequency of the 484-nm laser is changed in steps of about 120 MHz. The resonance groups shown with the same colour correspond to transitions from the same intermediate state with total angular momentum F, which is populated from different ground-state hyperfine components. The graphs show the HFS transitions of 229Th2+ in the ground state (a) and the isomer (b).

Source data

Extended Data Fig. 5 Pressure dependence of collision-induced changes in the intermediate-state HFS.

The two-step excitation resonances of Th2+ were obtained with the first laser stabilized at −800 MHz detuning with respect to the 229Th HFS centre and the second laser scanned. The measurement is performed for two different He buffer-gas pressures and shows a decrease in the relative amplitude of the collisional resonances for the reduction of the buffer-gas pressure. We note that the isomeric resonance is not affected by the change in He pressure.

Source data

Extended Data Table 1 Systematics of the observed resonances
Extended Data Table 2 Extraction of isotopes from the 233U source

Supplementary Information

Supplementary Information

This file contains Supplementary Figures 1 to 60 and Supplementary Tables 1 and 2. The figures show 29 of the 35 two-step excitation spectra recorded using the trap at LMU with copropagating beam configuration (six spectra do not contain detectable resonance features) and all spectra with counterpropagating configuration. The tables list the resonances and the corresponding transitions. See contents page for details

Source data

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Thielking, J., Okhapkin, M.V., Głowacki, P. et al. Laser spectroscopic characterization of the nuclear-clock isomer 229mTh. Nature 556, 321–325 (2018). https://doi.org/10.1038/s41586-018-0011-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/s41586-018-0011-8

Keywords

This article is cited by

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing