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Isotopes of calcium (20Ca)
Main isotopes Decay
abun­dance half-life (t1/2) mode pro­duct
Ca 96.9% stable
Ca trace 9.94×10 y ε K
Ca 0.647% stable
Ca 0.135% stable
Ca 2.09% stable
Ca synth 163 d β Sc
Ca 0.004% stable
Ca synth 4.5 d β Sc
Ca 0.187% 6.4×10 y ββ Ti
Standard atomic weight Ar°(Ca)

Calcium (20Ca) has 26 known isotopes, ranging from Ca to Ca. There are five stable isotopes (Ca, Ca, Ca, Ca and Ca), plus one isotope (Ca) with such a long half-life that it is for all practical purposes stable. The most abundant isotope, Ca, as well as the rare Ca, are theoretically unstable on energetic grounds, but their decay has not been observed. Calcium also has a cosmogenic isotope, Ca, with half-life 99,400 years. Unlike cosmogenic isotopes that are produced in the air, Ca is produced by neutron activation of Ca. Most of its production is in the upper metre of the soil column, where the cosmogenic neutron flux is still strong enough. Ca has received much attention in stellar studies because it decays to K, a critical indicator of solar system anomalies. The most stable artificial isotopes are Ca with half-life 163 days and Ca with half-life 4.5 days. All other calcium isotopes have half-lives of minutes or less.

Stable Ca comprises about 97% of natural calcium and is mainly created by nucleosynthesis in large stars. Similarly to Ar, however, some atoms of Ca are radiogenic, created through the radioactive decay of K. While K–Ar dating has been used extensively in the geological sciences, the prevalence of Ca in nature initially impeded the proliferation of K-Ca dating in early studies, with only a handful of studies in the 20th century. Modern techniques using increasingly precise Thermal-Ionization (TIMS) and Collision-Cell Multi-Collector Inductively-coupled plasma mass spectrometry (CC-MC-ICP-MS) techniques, however, have been used for successful K–Ca age dating, as well as determining K losses from the lower continental crust and for source-tracing calcium contributions from various geologic reservoirs similar to Rb-Sr.

Stable isotope variations of calcium (most typically Ca/Ca or Ca/Ca, denoted as 'δCa' and 'δCa' in delta notation) are also widely used across the natural sciences for a number of applications, ranging from early determination of osteoporosis to quantifying volcanic eruption timescales. Other applications include: quantifying carbon sequestration efficiency in CO2 injection sites and understanding ocean acidification, exploring both ubiquitous and rare magmatic processes, such as formation of granites and carbonatites, tracing modern and ancient trophic webs including in dinosaurs, assessing weaning practices in ancient humans, and a plethora of other emerging applications.

List of isotopes


Nuclide
Z N Isotopic mass (Da)
Half-life
Decay
mode

Daughter
isotope

Spin and
parity
Natural abundance (mole fraction)
Normal proportion Range of variation
Ca 20 15 35.00557(22)# 25.7(2) ms β, p (95.8%) Ar 1/2+#
β, 2p (4.2%) Cl
β (rare) K
Ca 20 16 35.993074(43) 100.9(13) ms β, p (51.2%) Ar 0+
β (48.8%) K
Ca 20 17 36.98589785(68) 181.0(9) ms β, p (76.8%) Ar 3/2+
β (23.2%) K
Ca 20 18 37.97631922(21) 443.70(25) ms β K 0+
Ca 20 19 38.97071081(64) 860.3(8) ms β K 3/2+
Ca 20 20 39.962590850(22) Observationally stable 0+ 0.9694(16) 0.96933–0.96947
Ca 20 21 40.96227791(15) 9.94(15)×10 y EC K 7/2− Trace
Ca 20 22 41.95861778(16) Stable 0+ 0.00647(23) 0.00646–0.00648
Ca 20 23 42.95876638(24) Stable 7/2− 0.00135(10) 0.00135–0.00135
Ca 20 24 43.95548149(35) Stable 0+ 0.0209(11) 0.02082–0.02092
Ca 20 25 44.95618627(39) 162.61(9) d β Sc 7/2−
Ca 20 26 45.9536877(24) Observationally stable 0+ 4×10 4×10–4×10
Ca 20 27 46.9545411(24) 4.536(3) d β Sc 7/2−
Ca 20 28 47.952522654(18) 5.6(10)×10 y ββ Ti 0+ 0.00187(21) 0.00186–0.00188
Ca 20 29 48.95566263(19) 8.718(6) min β Sc 3/2−
Ca 20 30 49.9574992(17) 13.45(5) s β Sc 0+
Ca 20 31 50.96099566(56) 10.0(8) s β Sc 3/2−
β, n? Sc
Ca 20 32 51.96321365(72) 4.6(3) s β (>98%) Sc 0+
β, n (<2%) Sc
Ca 20 33 52.968451(47) 461(90) ms β (60%) Sc 1/2−#
β, n (40%) Sc
Ca 20 34 53.972989(52) 90(6) ms β Sc 0+
β, n? Sc
β, 2n? Sc
Ca 20 35 54.97998(17) 22(2) ms β Sc 5/2−#
β, n? Sc
β, 2n? Sc
Ca 20 36 55.98550(27) 11(2) ms β Sc 0+
β, n? Sc
β, 2n? Sc
Ca 20 37 56.99296(43)# 8# ms β? Sc 5/2−#
β, n? Sc
β, 2n? Sc
Ca 20 38 57.99836(54)# 4# ms β? Sc 0+
β, n? Sc
β, 2n? Sc
Ca 20 39 59.00624(64)# 5# ms β? Sc 5/2−#
β, n? Sc
β, 2n? Sc
Ca 20 40 60.01181(75)# 2# ms β? Sc 0+
β, n? Sc
β, 2n? Sc
This table header & footer:
  1. ( ) – Uncertainty (1σ) is given in concise form in parentheses after the corresponding last digits.
  2. Bold half-life – nearly stable, half-life longer than age of universe.
  3. Modes of decay:
    EC: Electron capture


    n: Neutron emission
    p: Proton emission
  4. Bold symbol as daughter – Daughter product is stable.
  5. ( ) spin value – Indicates spin with weak assignment arguments.
  6. # – Values marked # are not purely derived from experimental data, but at least partly from trends of neighboring nuclides (TNN).
  7. Heaviest observationally stable nuclide with equal numbers of protons and neutrons
  8. Believed to undergo double electron capture to Ar with a half-life no less than 9.9×10 y
  9. Cosmogenic nuclide
  10. Believed to undergo ββ decay to Ti
  11. Primordial radionuclide
  12. Believed to be capable of undergoing triple beta decay with very long partial half-life
  13. Lightest nuclide known to undergo double beta decay
  14. Theorized to also undergo β decay to Sc with a partial half-life exceeding 1.1
    −0.6×10 years

Calcium-48

Main article: Calcium-48
About 2 g of calcium-48

Calcium-48 is a doubly magic nucleus with 28 neutrons; unusually neutron-rich for a light primordial nucleus. It decays via double beta decay with an extremely long half-life of about 6.4×10 years, though single beta decay is also theoretically possible. This decay can analyzed with the sd nuclear shell model, and it is more energetic (4.27 MeV) than any other double beta decay. It can also be used as a precursor for neutron-rich and superheavy nuclei.

Calcium-60

Calcium-60 is the heaviest known isotope as of 2020. First observed in 2018 at Riken alongside Ca and seven isotopes of other elements, its existence suggests that there are additional even-N isotopes of calcium up to at least Ca, while Ca is probably the last bound isotope with odd N. Earlier predictions had estimated the neutron drip line to occur at Ca, with Ca unbound.

In the neutron-rich region, N = 40 becomes a magic number, so Ca was considered early on to be a possibly doubly magic nucleus, as is observed for the Ni isotone. However, subsequent spectroscopic measurements of the nearby nuclides Ca, Ca, and Ti instead predict that it should lie on the island of inversion known to exist around Cr.

References

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Further reading

External links

Isotopes of the chemical elements
Group 1 2   3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Period Hydrogen and
alkali metals
Alkaline
earth metals
Pnicto­gens Chal­co­gens Halo­gens Noble gases
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