“…The value calculated by Mougeot (2018) of 212 ± 0.15 is currently the best estimate of the 40 K EC ground /β + . It is slightly higher than two other recent estimates, our value of 164 or that of Pradler et al (2013) of 150. Given a broad consensus in calculated EC ground /β + over several decades and via a variety of methods, it appears highly likely that it falls in the range 150-212 ( Fig.…”
Section: Comparison With Other Evaluationscontrasting
confidence: 77%
“…(9) using the energy of the decay. Pradler et al (2013) use the Fermi method and data from Bambynek et al (1977) but only perform the calculation for K-shell electrons, resulting in a slightly differently calculated value than we report. Notably, all estimated values are of the same order of magnitude, similar to the ratio 155 reported in Engelkemeir et al (1962) and our calculated value of 164.…”
Section: Comparison With Other Evaluationsmentioning
confidence: 78%
“…2). Pradler et al (2013) and Mougeot (2018) report ratios of 150 and 212 ± 0.15, respectively (uncertainties are reported where they have been estimated). These workers use broadly similar methods to us.…”
Section: Comparison With Other Evaluationsmentioning
confidence: 99%
“…The value of Chen (2017) is not included in the figure as it is an extreme outlier, and the authors do not explain the method they use to reach this value. Our calculated ratios are compared to previous evaluations in the literature (Engelkemeir et al, 1962;Pradler et al, 2013;Mougeot, 2018). Uncertainties in these values are either intractable or, in the case of Mougeot (2018), too small to plot.…”
Section: Comparison With 22 Namentioning
confidence: 99%
“…Unlike 40 K, there are numerous measurements of the electron capture to positron ratio for decay to the excited state of 22 Ne (Fig. 4; Kreger, 1954;Vatai et al, 1968;Williams, 1964;McCann and Smith, 1969;MacMahon and Baerg, 1976;Bosch et al, 1977;Baerg, 1983;Schmidt-Ott et al, 1984;Sýkora and Povinec, 1986;Kunze et al, 1990;Nähle et al, 2008). Measurement of (EC/β + )* for 22 Na is accomplished by measurement of both of the gammas (which come from both the EC* and the β + * ) and the x-rays (which only come from the EC branch).…”
Abstract. The decay of 40K to the stable isotopes 40Ca
and 40Ar is used as a measure of time for both the K-Ca and K-Ar
geochronometers, the latter of which is most generally utilized by the
variant 40Ar∕39Ar system. The increasing precision of
geochronology has forced practitioners to deal with the systematic
uncertainties rooted in all radioisotope dating methods. A major component
of these systematic uncertainties for the K-Ar and 40Ar∕39Ar
techniques is imprecisely determined decay constants and an incomplete
knowledge of the decay scheme of 40K. Recent geochronology studies
question whether 40K can decay to 40Ar via an electron capture
directly to ground state (ECground), citing the lack of experimental
verification as reasoning for its omission. In this study, we (1) provide a
theoretical argument in favor of the presence of this decay mode and (2) evaluate the magnitude of this decay mode by calculating the electron
capture to positron ratio (ECground/β+) and comparing
calculated ratios to previously published calculations, which yield
ECground/β+ between 150–212. We provide support for this
calculation through comparison of the experimentally verified
ECground/β+ ratio of 22Na with our calculation using
the theory of β decay. When combined with measured values of β+ and β− decay rates, the best estimate for the
calculated ECground/β+ for 40K yields a partial decay
constant for 40K direct to ground-state 40Ar of 11.6±1.5×10-13 a−1 (2σ). We calculate a partial decay
constant of 40K to 40Ar of 0.592±0.014×10-10 a−1 and a total decay constant of 5.475±0.107×10-10 a−1 (2σ), and we conclude that although omission of
this decay mode can be significant for K-Ar dating, it is minor for
40Ar∕39Ar geochronology and is therefore unlikely to have
significantly biased published measurements.
“…The value calculated by Mougeot (2018) of 212 ± 0.15 is currently the best estimate of the 40 K EC ground /β + . It is slightly higher than two other recent estimates, our value of 164 or that of Pradler et al (2013) of 150. Given a broad consensus in calculated EC ground /β + over several decades and via a variety of methods, it appears highly likely that it falls in the range 150-212 ( Fig.…”
Section: Comparison With Other Evaluationscontrasting
confidence: 77%
“…(9) using the energy of the decay. Pradler et al (2013) use the Fermi method and data from Bambynek et al (1977) but only perform the calculation for K-shell electrons, resulting in a slightly differently calculated value than we report. Notably, all estimated values are of the same order of magnitude, similar to the ratio 155 reported in Engelkemeir et al (1962) and our calculated value of 164.…”
Section: Comparison With Other Evaluationsmentioning
confidence: 78%
“…2). Pradler et al (2013) and Mougeot (2018) report ratios of 150 and 212 ± 0.15, respectively (uncertainties are reported where they have been estimated). These workers use broadly similar methods to us.…”
Section: Comparison With Other Evaluationsmentioning
confidence: 99%
“…The value of Chen (2017) is not included in the figure as it is an extreme outlier, and the authors do not explain the method they use to reach this value. Our calculated ratios are compared to previous evaluations in the literature (Engelkemeir et al, 1962;Pradler et al, 2013;Mougeot, 2018). Uncertainties in these values are either intractable or, in the case of Mougeot (2018), too small to plot.…”
Section: Comparison With 22 Namentioning
confidence: 99%
“…Unlike 40 K, there are numerous measurements of the electron capture to positron ratio for decay to the excited state of 22 Ne (Fig. 4; Kreger, 1954;Vatai et al, 1968;Williams, 1964;McCann and Smith, 1969;MacMahon and Baerg, 1976;Bosch et al, 1977;Baerg, 1983;Schmidt-Ott et al, 1984;Sýkora and Povinec, 1986;Kunze et al, 1990;Nähle et al, 2008). Measurement of (EC/β + )* for 22 Na is accomplished by measurement of both of the gammas (which come from both the EC* and the β + * ) and the x-rays (which only come from the EC branch).…”
Abstract. The decay of 40K to the stable isotopes 40Ca
and 40Ar is used as a measure of time for both the K-Ca and K-Ar
geochronometers, the latter of which is most generally utilized by the
variant 40Ar∕39Ar system. The increasing precision of
geochronology has forced practitioners to deal with the systematic
uncertainties rooted in all radioisotope dating methods. A major component
of these systematic uncertainties for the K-Ar and 40Ar∕39Ar
techniques is imprecisely determined decay constants and an incomplete
knowledge of the decay scheme of 40K. Recent geochronology studies
question whether 40K can decay to 40Ar via an electron capture
directly to ground state (ECground), citing the lack of experimental
verification as reasoning for its omission. In this study, we (1) provide a
theoretical argument in favor of the presence of this decay mode and (2) evaluate the magnitude of this decay mode by calculating the electron
capture to positron ratio (ECground/β+) and comparing
calculated ratios to previously published calculations, which yield
ECground/β+ between 150–212. We provide support for this
calculation through comparison of the experimentally verified
ECground/β+ ratio of 22Na with our calculation using
the theory of β decay. When combined with measured values of β+ and β− decay rates, the best estimate for the
calculated ECground/β+ for 40K yields a partial decay
constant for 40K direct to ground-state 40Ar of 11.6±1.5×10-13 a−1 (2σ). We calculate a partial decay
constant of 40K to 40Ar of 0.592±0.014×10-10 a−1 and a total decay constant of 5.475±0.107×10-10 a−1 (2σ), and we conclude that although omission of
this decay mode can be significant for K-Ar dating, it is minor for
40Ar∕39Ar geochronology and is therefore unlikely to have
significantly biased published measurements.
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