An overview of the current status of the development of a nuclear clock based on the state of lowest known nuclear excitation energy in 229Th is presented. The text is especially written for the interested reader without any particular knowledge in this field of research. It is thus ideal as an introductory reading to get a broad overview of the various different aspects of the field; in addition, it can serve as a guideline for future research. An introductory part is provided, giving a historic context and explaining the fundamental concept of clocks. Finally, potential candidates for nuclear clocks other than 229Th are discussed.
Similar content being viewed by others
References
K. Higgins, D. Miner, C. N. Smith, and D. B. Sullivan, A Walk Through Time (version 1.2.1) (2004), National Institute of Standards and Technology, Gaithersburg, MD, http://physics.nist.gov/time, acc. July 12, 2010.
M. Bennet et al., “Huygens’ clocks,” Proc. Royal Soc. London A, 458, 563–579 (2002).
F. Sorge, M. Cammalleri, and G. Genchi, “On the birth and growth of pendulum clocks in the early modern era,” in: Essays on the History of Mechanical Engineering, Springer (2016), pp. 273–290.
R. T. Gould, The Marine Chronometer: Its History and Development, J. D. Potter (1923).
J. E. Bosschieter, Shortt’s Free Pendulum. A History of the Evolution of Electric Clocks, www.electric-clocks.eu/clocks/en/page10.htm, acc. Sept. 3, 2017.
W. A. Marrison, “The evolution of the quartz crystal clock,” Bell Syst. Techn. J., 27, 510–588 (1948).
H. Lyons, “The atomic clock,” Instruments, 22, 133–135 (1949).
P. Forman, Atomichron: The Atomic Clock from Concept to Commercial Product, IEEE Ultrasonics, Ferroelectrics and Frequency Control Society (1998).
L. Essen and J. V. L. Parry, “An atomic standard of frequency and time interval: A cesium resonator,” Nature, 176, 280–282 (1955).
N. F. Ramsey, “History of atomic clocks,” J. Res. Nat. Bur. Stand., 88, 301–318 (1983).
R. Wynands and S. Weyers, “Atomic fountain clocks,” Metrologica, 42, 64–79 (2005).
Th. Udem, R. Holzwarth, and T. W. Hänsch, “Optical frequency metrology,” Nature, 416, 233–237 (2002).
S. A. Diddams et al., “An optical clock based on a single trapped 199Hg+ ion,” Science, 293, 825–828 (2001).
T. Rosenband et al., “Frequency ratio of Al+ and Hg+ single-ion optical clocks; Metrology at the 17th decimal place,” Science, 319, 1808–1811 (2008).
N. Huntemann et al., “Single-ion atomic clock with 3·10–18 systematic uncertainty,” Phys. Rev. Lett., 116, 063001 (2016).
B. J. Bloom et al., “An optical lattice clock with accuracy and stability at the 10–18 level,” Nature, 506, 71–75 (2014).
T. L. Nicholson et al., “Systematic evaluation of an atomic clock at 2·10–18 total uncertainty,” Nature, Communications (2015).
A. D. Ludlow et al., “Optical atomic clocks,” Rev. Mod. Phys., 87, 637–699 (2015).
E. Peik and M. Okhapkin, “Nuclear clocks based on resonant excitation of γ-transitions,” Comptes Rendus Phys., 16, 516–523 (2015).
L. A. Kroger and C. W. Reich, “Features of the low energy level scheme of 229Th as observed in the decay of 233U,” Nucl. Phys. A, 259, 29 (1976).
C. W. Reich and R. Helmer, “Energy separation of the doublet of intrinsic states at the ground state of 229Th,” Phys. Rev. Lett., 64, 271 (1990).
R. Helmer and C. W. Reich, “An excited state of 229Th at 3.5 eV,” Phys. Rev. C, 49, 1845 (1994).
B. R. Beck et al., “Energy splitting of the ground-state doublet in the nucleus 229Th,” Phys. Rev. Lett., 109, 142501 (2007).
B. R. Beck et al., “Improved value for the energy splitting of the ground-state doublet in the nucleus 229mTh,” LLNLPROC-415170 (2009).
F. F. Karpeshin and M. B. Trzhaskovskaya, “Impact of the electron environment on the lifetime of the 229Thm low-lying isomer,” Phys. Rev. C, 76, 054313 (2007).
L. von der Wense, On the Direct Detection of 229m Th: PhD Thesis, Ludwig-Maximilians-Universität München, Germany (2016), https://edoc.ub.uni-muenchen.de/20492/7/Wense Lars von der.pdf.
O. V. Vorykhalov and V. V. Koltsov, “Search for an isomeric transition of energy below 5 eV in 229Th nucleus,” Bull. Russ. Acad. Sci.: Physics, 59, 20–24 (1995).
V. F. Strizhov and E. V. Tkalya, “Decay channel of low-lying isomer state of the 229Th nucleus. Possibilities of experimental investigation,” Sov. Phys. JETP, 72, 387 (1991).
E. V. Tkalya, V. O. Varlamov, V. V. Lomonosov, and S. A. Nikulin, “Processes of the nuclear isomer 229mTh (3/2+, 3.5 ± 1.0 eV) resonant excitation by optical photons,” Phys. Scripta, 53, 296–299 (1996).
E. V. Tkalya, A. N. Zherikin, and V. I. Zhudov, “Decay of the low-energy nuclear isomer 229Thm (3/2+, 3.5 ± 1.0 eV) in solids (dielectrics and metals): a new scheme of experimental research,” Phys. Rev. C, 61, 064308 (2000).
E. Peik and C. Tamm, “Nuclear laser spectroscopy of the 3.5 eV transition in 229Th,” Euro-Phys. Lett., 61, 181–186 (2003).
N. Minkov and A. Pállfy, “Reduced transition probabilities for the gamma decay of the 7.8 eV isomer in 229Th,” Phys. Rev. Lett., 118, 212501 (2017).
E. V. Tkalya, C. Schneider, J. Jeet, and E. R. Hudson, “Radiative lifetime and energy of the low-energy isomeric level in 229Th,” Phys. Rev. C, 92, 054324 (2015).
C. J. Campbell, A. G. Radnaev, A. Kuzmich, et al., “Single-ion nuclear clock for metrology at the 19th decimal place,” Phys. Rev. Lett., 108, 120802 (2012).
C. J. Campbell, A. G. Radnaev, and A. Kuzmich, “Wigner crystals of 229Th for optical excitation of the nuclear isomer,” Phys. Rev. Lett., 106, 223001 (2011).
K. Zimmermann, Experiments Towards Optical Nuclear Spectroscopy with Thorium-229: PhD Thesis, University of Hannover, Germany (2010).
P. V. Borisyuk et al., “Trapping, retention and laser cooling of Th3+ ions in a multisection linear quadrupole trap,” Quant. Electr., 47, 406–411 (2017).
W. G. Rellergert 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).
G. A. Kazakov et al., “Performance of a 229Thorium solid-state nuclear clock,” New J. Phys., 14, 083019 (2012).
E. Swanberg, Searching for the Decay of 229m Th: PhD Thesis, University of California, Berkeley (2012).
X. Zhao et al., “Observation of the deexcitation of the 229mTh nuclear isomer,” Phys. Rev. Lett.,109, 160801 (2012).
E. Peik and K. Zimmermann, “Comment on ‘Observation of the deexcitation of the 229mTh nuclear isomer’,” Phys. Rev. Lett., 111, 018901 (2013).
L. von der Wense et al., “Towards a direct transition energy measurement of the lowest nuclear excitation in 229Th,” JINST, 8, P03005 (2013).
M. P. Hehlen et al., “Optical spectroscopy of an atomic nucleus: Progress toward direct observation of the 229Th isomer transition,” J. Lumin., 133, 91–95 (2013).
S. Stellmer et al., “Feasibility study of measuring the 229Th nuclear isomer transition with 233U-doped crystals,” Phys. Rev. C, 94, 014302 (2016).
P. van Duppen et al., Characterization of the Low-Energy 229m Th Isomer: Letter of Intent to the ISOLDE and Neutron Time-of-Flight Committee (2017), https://cds.cern.ch/record/2266840.
S. G. Porsev, V. V. Flambaum, E. Peik, and Chr. Tamm, “Excitation of the isomeric 229mTh nuclear state via an electronic bridge process in 229Th1+,” Phys. Rev. Lett., 105, 182501 (2010).
O. A. Herrera-Sancho, Laser Excitation of 8-eV Electronic States in Th + : A First Pillar of the Electronic Bridge Toward Excitation of the Th-229 Nucleus: PhD Thesis, Univ. Hannover, Germany (2012).
C. J. Campbell et al., “Multiply charged thorium crystals for nuclear laser spectroscopy,” Phys. Rev. Lett., 102, 233004 (2009).
J. Jeet et al., “Results of a direct search using synchrotron radiation for the low-energy 229Th nuclear isomeric transition,” Phys. Rev. Lett., 114, 253001 (2015).
S. Stellmer, M. Schreitl, and T. Schumm, “Radioluminescence and photoluminescence of Th:CaF2 crystals,” Sci. Reports, 5, 15580 (2015).
A. Yamaguchi et al., “Experimental search for the low-energy nuclear transition in 229Th with undulator radiation,” New J. Phys., 17, 053053 (2015).
S. Stellmer et al., “Towards measurements of the nuclear clock transition in 229Th,” J. Phys.: Conf. Ser., 723, 012059 (2016).
Yu. P. Gangrsky et al., “Search for light radiation in decay of 229Th isomer with anomalously low excitation energy,” Bull. Rus. Acad. Sci. Phys., 69, 1857 (2005).
L. von der Wense et al., “Direct detection of the 229Th nuclear clock transition,” Nature, 533, 47–51 (2016).
B. Seiferle, L. von der Wense, and P. G. Thirolf, “Lifetime measurement of the 229Th nuclear isomer,” Phys. Rev. Lett., 118, 042501 (2017).
B. Seiferle, L. von der Wense, and P.G. Thirolf, “Feasibility study of internal conversion electron spectroscopy of 229mTh,” Eur. Phys. J. A, 53, 108 (2017).
F. Ponce, High Accuracy Measurement of the Nuclear Decay of U-235m and Search for the Nuclear Decay of Th-229m: PhD Thesis, University of California, USA (2017).
V. O. Varlamov et al., “Excitation of a 229mTh ((3/2)+, 3.5 eV) isomer by surface plasmons,” Phys. Dokl., 41, 47 (1996).
L. von der Wense et al., “Laser excitation scheme for 229mTh,” Phys. Rev. Lett., accepted for publication.
G. A. Kazakov et al., “Prospects for measuring the 229Th isomer energy using a metallic magnetic microcalorimeter,” Nucl. Instrum. Meth. A, 735, 229–239 (2014).
P. Schneider, Spektroskopische Messungen an Thorium-229 mit einem Detektor-Array aus metallischen magnetischen Kalorimetern: Master Thesis, Ruprecht-Karls-Universität Heidelberg, Germany (2016).
A. Pálffy et al., “Isomer triggering via nuclear excitation by electron capture,” Phys. Rev. Lett., 99, 172502 (2007).
C. Brandau et al., “Probing nuclear properties by resonant atomic collisions between electrons and ions,” Phys. Scr., T156, 014050 (2013).
X. Ma et al., “Proposal for precision determination of 7.8 eV isomeric state in 229Th at heavy ion storage ring,” Phys. Scr., T166, 014012 (2015).
W. T. Liao and A. Pálffy, “Optomechanically induced transparency of x-rays via optical control,” Sci. Reports, 7, 321 (2017).
K. Beloy, “Hyperfine structure in 229gTh3+ as a probe of the 229gTh → 229mTh nuclear excitation energy,” Phys. Rev. Lett., 112, 062503 (2014).
V. Sonnenschein et al., “The search for the existence of 229mTh at IGISOL,” Eur. Phys. J. A, 48, 52 (2012).
M. Safronova, “Elusive tranition spotted in thorium,” Nature, 533, 44–45 (2016).
V. V. Flambaum, “Enhanced effect of temporal variation of the ne structure constant and the strong interaction in 229Th,” Phys. Rev. Lett., 97, 092502 (2006).
A. Cingöz et al., “Direct frequency comb spectroscopy in the extreme ultraviolet,” Nature, 482, 68–71 (2012).
S. M. Cavaletto et al., “Broadband high-resolution x-ray frequency combs,” Nature Photonics, 8, 520–523 (2014).
NNDC Interactive Chart of Nuclides, Brookhaven National Laboratory, Brookhaven, https://www.nndc.bnl.gov/chart, acc. Sept. 3, 2017.
Acknowledgements
This work was supported by the European Union’s Horizon 2020 research and innovation program under Grant Agreement No. 664732 “nuClock,” by DFG grant Th956/3-1, and by the LMU department of Medical Physics via the Maier-Leibnitz Laboratory. L.v.d.Wense would like to thank the organizers of the conference within the frame of the jubilee celebrating “175 years of the Mendeleev All-Russia Research Institute of Metrology (VNIIM) and National Measurement System” in St. Petersburg for the invitation.
Author information
Authors and Affiliations
Corresponding author
Additional information
Published in Izmeritel’naya Tekhnika, No. 12, pp. 13–22, December, 2017.
Rights and permissions
About this article
Cite this article
von der Wense, L., Seiferle, B. & Thirolf, P.G. Towards a 229Th-Based Nuclear Clock. Meas Tech 60, 1178–1192 (2018). https://doi.org/10.1007/s11018-018-1337-1
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11018-018-1337-1