Isotopes of carbon
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Carbon (6C) has 14 known isotopes, from 8
C
to 20
C
as well as 22
C
, of which 12
C
and 13
C
are stable. The longest-lived radioisotope is 14
C
, with a half-life of 5.70(3)×103 years. This is also the only carbon radioisotope found in nature, as trace quantities are formed cosmogenically by the reaction 14
N
+
n
→ 14
C
+ 1
H
. The most stable artificial radioisotope is 11
C
, which has a half-life of 20.3402(53) min. All other radioisotopes have half-lives under 20 seconds, most less than 200 milliseconds. The least stable isotope is 8
C
, with a half-life of 3.5(1.4)×10−21 s. Light isotopes tend to decay into isotopes of boron and heavy ones tend to decay into isotopes of nitrogen.
List of isotopes
Nuclide |
Z | N | Isotopic mass (Da)[3] [n 1] |
Half-life[4] [resonance width] |
Daughter isotope [n 3] |
Natural abundance (mole fraction) | |||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Normal proportion[4] | Range of variation | ||||||||||||||||||
8 C |
6 | 2 | 8.037643(20) | 3.5(1.4) zs [230(50) keV] |
2p | 6 Be [n 6] |
0+ | ||||||||||||
9 C |
6 | 3 | 9.0310372(23) | 126.5(9) ms | β+ (54.1(1.7)%) | 9 B |
3/2− | ||||||||||||
β+α (38.4(1.6)%) | 5 Li [n 7] | ||||||||||||||||||
β+p (7.5(6)%) | 8 Be [n 8] | ||||||||||||||||||
10 C |
6 | 4 | 10.01685322(8) | 19.3011(15) s | β+ | 10 B |
0+ | ||||||||||||
11 C [n 9] |
6 | 5 | 11.01143260(6) | 20.3402(53) min | β+ | 11 B |
3/2− | ||||||||||||
11m C |
12160(40) keV | p ?[n 10] | 10 B ? |
1/2+ | |||||||||||||||
12 C |
6 | 6 | 12 exactly[n 11] | Stable | 0+ | [0.9884, 0.9904][5] | |||||||||||||
13 C [n 12] |
6 | 7 | 13.003354835336(252) | Stable | 1/2− | [0.0096, 0.0116][5] | |||||||||||||
14 C [n 13] |
6 | 8 | 14.003241989(4) | 5.70(3)×103 y | β− | 14 N |
0+ | Trace[n 14] | < 10−12 | ||||||||||
14m C |
22100(100) keV | IT
|
14 C |
(2−) | |||||||||||||||
15 C |
6 | 9 | 15.0105993(9) | 2.449(5) s | β− | 15 N |
1/2+ | ||||||||||||
16 C |
6 | 10 | 16.014701(4) | 750(6) ms | β−n (99.0(3)%) | 15 N |
0+ | ||||||||||||
β− (1.0(3)%) | 16 N | ||||||||||||||||||
17 C |
6 | 11 | 17.022579(19) | 193(6) ms | β− (71.6(1.3)%) | 17 N |
3/2+ | ||||||||||||
β−n (28.4(1.3)%) | 16 N | ||||||||||||||||||
β−2n ?[n 10] | 15 N ? | ||||||||||||||||||
18 C |
6 | 12 | 18.02675(3) | 92(2) ms | β− (68.5(1.5)%) | 18 N |
0+ | ||||||||||||
β−n (31.5(1.5)%) | 17 N | ||||||||||||||||||
β−2n ?[n 10] | 16 N ? | ||||||||||||||||||
19 C [n 15] |
6 | 13 | 19.03480(11) | 46.2(2.3) ms | β−n (47(3)%) | 18 N |
1/2+ | ||||||||||||
β− (46.0(4.2)%) | 19 N | ||||||||||||||||||
β−2n (7(3)%) | 17 N | ||||||||||||||||||
20 C |
6 | 14 | 20.04026(25) | 16(3) ms | β−n (70(11)%) | 19 N |
0+ | ||||||||||||
β−2n (< 18.6%) | 18 N | ||||||||||||||||||
β− (> 11.4%) | 20 N | ||||||||||||||||||
22 C [n 16] |
6 | 16 | 22.05755(25) | 6.2(1.3) ms | β−n (61(14)%) | 21 N |
0+ | ||||||||||||
β−2n (< 37%) | 20 N | ||||||||||||||||||
β− (> 2%) | 22 N | ||||||||||||||||||
This table header & footer: |
- ^ ( ) – Uncertainty (1σ) is given in concise form in parentheses after the corresponding last digits.
- ^
Modes of decay:
EC: Electron capture
n: Neutron emission p: Proton emission - ^ Bold symbol as daughter – Daughter product is stable.
- ^ ( ) spin value – Indicates spin with weak assignment arguments.
- ^ # – Values marked # are not purely derived from experimental data, but at least partly from trends of neighboring nuclides (TNN).
- ^ Subsequently decays by double proton emission to 4
He
for a net reaction of 8
C
→ 4
He
+ 41
H
- ^ Immediately decays by proton emission to 4
He
for a net reaction of 9
C
→ 2 4
He
+ 1
H
+
e−
- ^ Immediately decays into two 4
He
atoms for a net reaction of 9
C
→ 2 4
He
+ 1
H
+
e−
- ^ Used for labeling molecules in PET scans
- ^ a b c Decay mode shown is energetically allowed, but has not been experimentally observed to occur in this nuclide.
- unified atomic mass unitis defined as 1/12 of the mass of an unbound atom of carbon-12 in its ground state.
- ^ Ratio of 12C to 13C used to measure biological productivity in ancient times and differing types of photosynthesis
- carbon dating)
- 14(14
N
N
+
n
→ 14
C
+ 1
H
) - ^ Has 1 halo neutron
- ^ Has 2 halo neutrons
Carbon-11
Carbon-11 or 11
C
is a radioactive isotope of
- 11
C
→ - 11
C
+
e−
→ 11
B
+
ν
e + 1.98 MeV
It is produced from nitrogen in a cyclotron by the reaction
- 14
N
+
p
→ 11
C
+ 4
He
Carbon-11 is commonly used as a
C
]DASB and [11
C
]Cimbi-5
Natural isotopes
There are three naturally occurring isotopes of carbon: 12, 13, and 14. 12
C
and 13
C
are stable, occurring in a natural proportion of approximately 93:1. 14
C
is produced by thermal neutrons from cosmic radiation in the upper atmosphere, and is transported down to earth to be absorbed by living biological material. Isotopically, 14
C
constitutes a negligible part; but, since it is radioactive with a half-life of 5.70(3)×103 years, it is radiometrically detectable. Since dead tissue does not absorb 14
C
, the amount of 14
C
is one of the methods used within the field of archeology for radiometric dating of biological material.
Paleoclimate
12
C
and 13
C
are measured as the
C
back up with it; when the ocean was less stratified than today, there was much more 12
C
in the skeletons of surface-dwelling species. Other indicators of past climate include the presence of tropical species and coral growth rings.[9]
Tracing food sources and diets
The quantities of the different isotopes can be measured by
C
= δ13
C
) is expressed as parts per thousand (‰):[10]
- ‰
Stable carbon isotopes in
It follows that eating these different plants will affect the δ13C values in the consumer's body tissues. If an animal (or human) eats only C3 plants, their δ13C values will be from −18.5 to −22.0‰ in their bone
In contrast, C4 feeders will have bone collagen with a value of −7.5‰ and hydroxylapatite value of −0.5‰.
In actual case studies, millet and maize eaters can easily be distinguished from rice and wheat eaters. Studying how these dietary preferences are distributed geographically through time can illuminate migration paths of people and dispersal paths of different agricultural crops. However, human groups have often mixed C3 and C4 plants (northern Chinese historically subsisted on wheat and millet), or mixed plant and animal groups together (for example, southeastern Chinese subsisting on rice and fish).[13]
See also
- Cosmogenic isotopes
- Environmental isotopes
- Isotopic signature
- Radiocarbon dating
References
- ^ "Standard Atomic Weights: Carbon". CIAAW. 2009.
- ISSN 1365-3075.
- .
- ^ .
- ^ a b "Atomic Weight of Carbon". CIAAW.
- .
- .
- S2CID 129194624.
- ISBN 1-920885-84-6
- OCLC 794619582.
- S2CID 29110460. Retrieved 17 November 2022.
- ^ Tycot, R. H. (2004). M. Martini; M. Milazzo; M. Piacentini (eds.). "Stable isotopes and diet: you are what you eat" (PDF). Proceedings of the International School of Physics "Enrico Fermi" Course CLIV.
- PMID 16768822.