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Properties and data of the isotope 40K.
Content
General Data
Radioactive Decay
Formation
NMR Data
Radiation Protection
Isotones und Isobares
Literature
Potassium-40 - symbol 40 K - is a naturally occurring, primordial, radioactive isotope of the chemical element potassium with a half-life of 1.25 billion years; Earth's potassium consists of about 0.0117% (117 ppm) of this isotope, which is responsible for the weak natural radioactivity of the alkali metal.
The atomic nucleus of the nuclei consists of 40K 21 neutrons and the element-specific 19 protons.
See also: list of Potassium isotopes.
General data
8.538089 MeV (average binding energy per nucleon)
SP = 7.582(5) MeV (first proton)
7.35002552444 × 10-6 Ci g-1
(nuclear angular momentum)
Radioactive Decay
Potassium-40 is a rare example of an isotope that undergoes both types of beta decay, and these major decay channels are well studied and experimentally verified. However, despite decades of research and great interest in this natural radionuclide, there is uncertainty about the details of 40K decay.
- In about 89.28% of the events, the nuclide decays with the emission of a beta particle β- - an electron with the kinetic energy of 0.56018 ± 17 MeV and a neutrino (0.6494 ± 12 MeV) - into the ground state of the isotope Calcium-40:
4019K → 4020Ca + e- + ve. - With a probability of 10.72%, after capture of an orbital electron (EE), the decay occurs into an excited 40Ar state, which occurs almost simultaneously (T1/2 = 1.15 picoseconds, spin = 2+) with emission of gamma rays with an energy of 1.460 MeV and a neutrino (0.00506 MeV) into the ground state of the isotope Argon-40 passes:
4019K + e- → 4018Ar + ve. - Extremely rarely - in only 0.001% of events - potassium-40 decays, emitting a neutrino ve and a positron (β+-decay) to 40Ar [1, 5]. If the positron e+ (anti-electron) hits an electron e-, the two particles undergo pair annihilation with an annihilation energy of 0.511 MeV:
4019K → 4018Ar + e+ + ve.
Another type of decay that has not been confirmed experimentally and is controversial in science:
- Based on theoretical considerations, the nuclide 40K could radioactively decay from its ground state directly into the ground state of 40Ar after electron capture and with a probability of 0.2% . A recent article [Carter et al., 2020] deals with the latest findings and the experimental difficulties in this regard [5].
The radioactive decay of this potassium isotope explains the large amount of argon of almost one percent in the Earth´s atmosphere as well as the prevalence of 40Ar compared to the other argon isotopes; at the same time it is according to 238Th and 238U the third most common source of radiogenic heat in the Earth´s mantle.
Half-life T½ = 1.248(3) × 109 a respectively 3.9356928 × 1016 seconds s.
Decay mode | Daughter | Probability | Decay energy | γ energy (intensity) |
---|---|---|---|---|
β- | 40Ca | 89.28(11) % | 1.31089(6) MeV | |
EE/β+ | 40Ar | 10.72(11) % | 1.50440(6) MeV | 1.460820(5) MeV 10.66(17) % |
Formation
The 40K atom nucleus is one of the primordial radionuclides - this means that the terrestrial deposits were already present when they were created and were not replenished in significant quantities through radioactive decay processes or human influences. The potassium-40 therefore comes from stellar processes - particularly supernova explosions - that took place before the Earth was formed. Recent studies of meteorites also indicate that most of the terrestrial potassium (90%) comes from non-carbonaceous matter, the origin of which lies in the interior of the solar system [6].
Occurrence
Potassium-40 is a natural radionuclide found in potassium - but its proportion is only 0.0117%. Since potassium is a mineral found practically everywhere, the radioactive K-40 it contains is the largest source of natural radioactivity in humans, animals and the environment. A human body weighing 70 kg contains approximately 140 g of potassium, which is approximately 0.000117 × 140 g = 0.0164 g of the isotope 40 K; The decay causes approximately 4,300 decays per second (Becquerels) within the body continuously throughout life.
Comparison of the natural Potassium isotopes including isotopic abundance (mole fraction of the isotope mixture in percent):Atomic Mass ma | Quantity | Half-life | Spin | |
---|---|---|---|---|
Potassium Isotopic mixture | 39.0983 u | 100 % | ||
Isotope 39K | 38.96370649(3) u | 93.2581(44) % | stable | 3/2+ |
Isotope 41K | 40.96182526(3) u | 6.7302(44) % | stable | 3/2+ |
Isotope 40K | 39.9639982(4) u | 0.0117(1) % | 1.248(3) × 109 a | 4- |
NMR data
Nuclear magnetic properties of the NMR active Nuclide 40K
μ/μN:
1.5493 (v0 = const.)
[related to 1H = 1.000]
(conditions)
Radiation Protection
Potassium compounds and preparations are ubiquitous in nature, technology and everyday life and are not considered radioactive hazardous substances despite the K-40 content; The radiation emitted by it is too weak for this.
Substances enriched with 40K have no practical or technical significance; K-40 is one of the radioactive substances for which even high levels of activity do not lead to classification as a highly radioactive radiation source.
Nuclear Isomers
Nuclear isomers or excited states with the activation energy in keV related to the ground state.
Nuclear Isomer | Excitation Energy | Half-life | Spin |
---|---|---|---|
40mK | 1643.638(11) keV | 0.336(13) μs | 0+ |
Isotones and Isobars
The following table shows the atomic nuclei that are isotonic (same neutron number N = 21) and isobaric (same nucleon number A = 40) with Potassium-40. Naturally occurring isotopes are marked in green; light green = naturally occurring radionuclides.OZ | Isotone N = 21 | Isobar A = 40 |
---|---|---|
9 | 30F | |
10 | 31Ne | |
11 | 32Na | |
12 | 33Mg | 40Mg |
13 | 34Al | 40Al |
14 | 35Si | 40Si |
15 | 36P | 40P |
16 | 37S | 40S |
17 | 38Cl | 40Cl |
18 | 39Ar | 40Ar |
19 | 40K | 40K |
20 | 41Ca | 40Ca |
21 | 42Sc | 40Sc |
22 | 43Ti | 40Ti |
23 | 44V | 40V |
24 | 45Cr | |
25 | 46Mn | |
26 | 47Fe | |
27 | 48Co | |
28 | 49Ni |
External data and identifiers
Literature and References
[1] - D. W. Engelkemeir, K. F. Flynn, L. E. Glendenin:
Positron Emission in the Decay of 40K.
In: Physical Review, 126,1818, (1962), DOI 10.1103/PhysRev.126.1818.
[2] - H. Leutz, G. Schulz, H. Wenninger:
The decay of potassium-40.
In: Zeitschrift für Physik, (1965), DOI 10.1007/BF01387190.
[3] - A. Ažman, A. Moljk, J. Pahor:
Electron capture in potassium 40.
In: Zeitschrift für Physik A, (1968), DOI 10.1007/BF01379914.
[4] - W. Sahm, A. Schwenk:
39K, 40K and 41K Nuclear Magnetic Resonance Studies.
In: Zeitschrift für Naturforschung A, (2014), DOI 10.1515/zna-1974-1208.
[5] - Jack Carter, Ryan B. Ickert, Darren F. Mark et al.:
Production of 40Ar by an overlooked mode of 40K decay with implications for K-Ar geochronology.
In: Geochronology, 2(2), 355–365, (2020), DOI 10.5194/gchron-2-355-2020.
[6] - Nicole X. Nie et al.:
Meteorites have inherited nucleosynthetic anomalies of potassium-40 produced in supernovae.
In: Science, 379, 6630, 373-376, (2023), DOI 10.1126/science.abn178.
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