Cited by 337Archaeology and ancient environmental studiesRadioactive Decay and Measurement TechniquesNuclear Physics and Applications

Radioisotope Dating with a Cyclotron: The sensitivity of radioisotope dating is improved by counting atoms rather than decays.

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Muller, Richard A.·1977·Science

Abstract

By considering radioisotope dating as a problem in trace element detection, and by using the cyclotron as a high-energy mass spectrometer for this purpose, we have shown that one can greatly increase the maximum age that can be determined while simultaneously reducing the size of the sample required. The cyclotron can be used to detect atoms or simple molecules that are present at the 10 -16 level or greater. For 14 C dating one should be able to go back 40,000 to 100,000 years with 1- to 100-mg carbon samples; for 10 Be dating, 10 to 30 million years with 1-mm 3 to 10-cm 3 rock samples; for tritium dating, 160 years with a 1-liter water sample. The feasibility of the technique has been demonstrated experimentally by measuring the tritium/deuterium ratio in a sample 24 years old. For samples many half-lives old, the fractional error in the age is small even if rates of production or deposition of the isotopes. Although cyclotrons are expensive to build, their operating costs are relatively low. If several samples are dated per hour the cost per date may not be substantially higher than it is today for decay dating. There are already more than 50 cyclotrons in operation which have the potential to do radioisotope dating, and their application to important problems of dating and trace element analysis should prove very fruitful.

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  • The current generation of AMS instruments used for routine natural-level 14C measurements are, with few exceptions, electrostatic accelerators.

    “Although the first AMS-based 14 C measurements were obtained on a cyclotron particle accelerator (Muller 1977), the current generation of AMS instruments used for routine natural level 14 C measurements, are, with a few exceptions, electrostatic accelerators (Tuniz et al. 1998;Tuniz and Norton 2008).”

    From Misunderstandings Concerning the Significance of AMS Background <sup>14</sup>C Measurements (2018) · cites this paper as Muller 1977

    Muller (1977) is cited for the first clause of the sentence, not for its statement about current electrostatic AMS instruments. In the Radiocarbon Dating section (page unavailable), Muller says cyclotron-based ¹⁴C dating appeared possible but that evaluating its sensitivity awaited further experimental development; the paper does not report the claimed first ¹⁴C measurements. (LLM, conf=0.86)

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Research works printed but not linked: 20

  1. L.W. Alvarez and R. Cornog, Phys. Rev. 56, 379 (1939);
  2. A general review of cosmic-ray produced radioactivity on the earth is given by D. Lal and B. Peters in Handbuch der Physik, Vol. XLVT/2, 551 (Springer-Verlag, 1967).
  3. New data, along with a review of the theoretical and experimental 10 26 situation for Be and Al appears in J.L. Reyss, Y. Yokogama, S. Tanaka, Science 193, 1119 (1976).
  4. The half-life of lOBe is 1.5 x 10 6 years, and not 2.5 x 10 6 years as has been frequently quoted in the literature. See F. Yiou, C. Raisbeck, Phys. Rev. Lett. ~, 372 (1972), and E.M. McMillan, Phys. Rev. C ~, 2296 (1972). The other half-lives as well as isotopic masses used in this ., report are taken from the compilation Table of Isotopes by C.M. Lederer, J.M. Hollander, and I. Perlman (Wiley, 1967).
  5. B.S. Amin, D.P. Kharkar, D. Lal, Deep-Sea Res. 13, 805 (1966).
  6. S. Krishnaswami, B.L.K. Somayajulu, W.S. Moore, in Proceedings of the Conference on Ferromanganese Deposits on the Ocean Floor, 117 (Lamont- Doherty Geological Observatory, 1972). Wiley, 1975). '1 " Q 0 ~ 1) .:;,i ,-0 9 7 (:J ;,,-~ ~J >i- f, • :.:: -27- 10. The range and ionization Tate differences can be calculated from the tables and formulas appearing in L. Northcliffeand R.F. Schilling, Nuclear Data Tables 7A, (1970). Straggling is difficult to estimate, because it serves not only from fluctuations in the energy lost t(1 electrons, but also from fluctuations in the net charge of. the 1011 as seen by the electrons. Recent data relevant to this question appeared in K.H. Schmidt, H. Wohfarth, H.G. Clerc, W. Land, H. Schrader, and K.E. Pferdekamper, Nucl. Inst. Meth. l34, 157 (1976).
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  8. E.C. Anderson, W.F. Lihhy, S. Weinhouse, A. F. Reid, A. D. Kurshenbaum, and A. V. Groose, Phys. Rl'V. 72 931 (1947). See also W.F. Libby, Radiocarbon Dating (D. Ch1.cag(1 Press, 1955), and Radiocarbon Variations and Absolute Chronology., Ingrid D. Olsson, ed. (Wiley, 1970).
  9. 38, the probability of one count or more is 32%. See, for example, F.T. Solmitz, Annual Reviews of Nuclear Science 14, 375 (1964).
  10. T. Marion and F. Young, Nuclear Reaction Analysis (Wiley, 1.968).
  11. M. Honda and J .R. Arnold ,Handbtich der Physik, Vol. XLVI/2, 613 (1967).
  12. J.C. Higdon and R.E. Lingenfelter, Nature 246, 403 (1973).
  13. W.F. Libby, Proc. Nat. Acad. Sci. ~, 245 (1953).
  14. S. Kaufman and W.F. Libby, Phys. Rev. 93, 1337 (1954).
  15. J.S. Leventhal and W.F. Libby, J. Geophys. Res. 12, 7628 (1970);
  16. H.L. Michel and H.E. Suess, J. Geophys. Res. 80, 4139 (1975);
  17. R.L. Michel, Nature 263, 103 (1976).
  18. The literature on the tritium question includes: H. Craig, Phys. Rev. 105, 1125 (1957);
  19. J.A. Simpson, J. Geoph. Res. 65, 1615 (1960).
  20. See for example the Kirk-Othmer Encyclopedia of Chemical Tcchnology, 2nd Ed., vol. 6, p. 815-918 (Wiley, 1968).

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Authors
Muller, R. A.
Affiliations
Lawrence Berkeley National Laboratory (US)
Corresponding author
Muller, Richard A.
Venue
Science
Published
1977-04-29
Volume
196
Issue
4289
Pages
489-494
ISSN
  • 0036-8075 (ISSN-L)
  • 1095-9203
OpenAlex
W2058379153
Cited by
337
References
0
Citations by year
2026: 7 · 2025: 7 · 2024: 5 · 2023: 7 · 2022: 5 · 2021: 6 · 2020: 7 · 2019: 7 · 2018: 7 · 2017: 2 · 2016: 4 · 2015: 5 · 2014: 5 · 2013: 9 · 2012: 6
FWCI
41.22
Type
journal article
Language
en
Open access
Locations
  • Science (publishedVersion)
  • PubMed (publishedVersion)
  • eScholarship (California Digital Library) (submittedVersion)
Topics
  • Physical Sciences › Earth and Planetary Sciences › Paleontology › Archaeology and ancient environmental studies
  • Physical Sciences › Physics and Astronomy › Radiation › Radioactive Decay and Measurement Techniques
  • Physical Sciences › Physics and Astronomy › Radiation › Nuclear Physics and Applications
Keywords
radiometric dating, cyclotron, trace element detection, radiocarbon dating, beryllium-10 dating, tritium dating, sample size reduction

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