In this article we shall discuss how radiocarbon dating works, the conditions under which it can be applied, and the limitations of the method.
There are three importantisotopes underlying the process of radiocarbon dating.
14N (nitrogen-14) is converted to14C (carbon-14) in the upper atmosphere as a result of bombardment by neutrons in so-calledcosmic rays: high-energy particles bombarding the Earth's atmosphere from outer space. Such an isotope is said to becosmogenic. On formation, the newly-born carbonatom quickly oxidizes to form a molecule of carbon dioxide (CO2).
14C is anunstableisotope of carbon, and so decays back to14N via beta decay with ahalf-life of about 5730 years. Because the quantity of14C being produced annually is more or less constant, whereas the quantity being destroyed is proportional to the quantity that exists, it can be shown that the quantity in the atmosphere at any given time will be more or less constant: the processes of production and decay of14C produces an equilibrium.
Also of importance is thestable carbonisotope12C; this makes up 98.89% of atmospheric carbon, as opposed to only 0.0000000001%14C. The balance is made up by the stable isotope13C, which need not concern us in this article.
The terrestrial carbon cycle is fairly simple: plants get their carbon from the atmosphere via the process of photosynthesis; herbivores get their carbon from plants, and carnivores from the herbivores. After the death of the organism, processes of decay will return its carbon to the atmosphere, unless it is sequestered — for example in the form ofcoal.
This means that when an organism is alive, its ratio of14C/12C will be the same as the ratio in the atmosphere. But of course when the organism dies it is cut off from the source of atmospheric carbon, the14C will start to decay to14N, and the ratio will begin to change.
This immediately suggests a method of dating organic remains. If we measure the amount of12C and the amount of14C in an organic sample, then since we know the atmospheric ratio and the amount of12C present, we can deduce how much14C was present originally. And then since we know how much was present originally, since we can measure how much is present now, and since we know the decay rate of14C, it is trivial to compute the age of the sample.
This method is variously known asradiocarbon dating,carbon dating,14C dating, orC-C dating.
One of the nice things about this method is that we don't have to worry about carbon being lost from the sample. Because we are measuring the abundance of twoisotopes of carbon, and because isotopes of the same element will be chemically identical, no ordinary process can preferentially remove12C or14C, and so any process of carbon removal will leave the12C/14C ratio the same, and the method will still work.
The method has various limitations. First of all, the quantity of14C is going to be small enough to begin with, being only 0.0000000001% of atmospheric carbon, and then as the decay process progresses it's going to get smaller and smaller. After about 60,000 years the quantity will be too small for our instruments to measure accurately, and the best we'll be able to say is that the sample is about 60,000 years old or more. For this reason radiocarbon dating is of more interest to archaeologists than to geologists.
Two effects also interfere with the dating of very recent samples. The testing of thermonuclear weapons produced an increase in atmospheric14C, peaking in the mid-1960s; and the burning of fossil fuels has been causing an increase in atmospheric12C; this has not been accompanied by a corresponding increase in14C because as the carbon in coal and oil is old, the amount of14C they contain is infinitesimal. Fortunately it is rarely necessary to use radiocarbon methods to date very recent samples.
Thirdly, it is in the nature of the method that it can only be applied to organic remains: it makes no sense to apply it to rocks or to mineralizedfossils.
Fourthly, the carbon in the organic remains does have to originate with theterrestrial carbon cycle and with plants performing photosynthesis. If this is not the case, it is sometimes possible to correct for the fact; in other cases it makes dating impossible.
For example, marine carbon behaves quite differently from carbon in the terrestrial cycle. The residence time of carbon in the ocean can be measured in hundreds of thousands of years (where theresidence time of carbon is defined as the average time anatom of carbon will stay in the ocean). This increases the apparent age of the sample by about 400 years, depending on where in the ocean the organism lived and died. Given a latitude and longitude, an appropriate correction to the date is supplied by theMarine Reservoir Database.
Since humans eat seafood, this can also affect the carbon dating of humans, and what is worse it does so in an inconsistent manner, since human consumption of seafood varies with location and culture. However, the marine component of diet can be estimated by measuring the ratio of the stable isotopes15N/13C in the sample: this will be higher the more seafood the individual consumed. This allows archaeologists to estimate the magnitude of this effect and correct for it.
Another source of carbon we have to take into account is theweathering oflimestone. The result of this is to supply streams, rivers, and lakes with a source of dissolvedcalcium carbonate; if freshwater shellfish (for example) use this to construct their shells, then they are using a source of carbon which is millions of years old. Clearly applying radiometric dating in such a case is pointless. Another source of old carbon is the outgassing from volcanoes: in locations where this is a significant source of CO2, plants growing in the area will appear older than they actually are.
Even participation in the terrestrial carbon cycle does notquite guarantee the date: we could, for example, imagine termites eating their way through the wood of a 200 year old house; these termites would date to 200 years old or more (depending on the age of the tree). By and large, however, organisms tend to consume fresh vegetation or fresh meat, so this problem is unlikely to arise in practice.
One way we can check the efficacy of radiocarbon dating is to compare the dates it produces with dates known on historical grounds, to ensure that it does indeed give us the right answer.
We can also compare radiocarbon dates with dates known on other grounds. For example, we have discussed the use ofvarves for dating; now since varves incorporate organic material as they are formed, we can check that when we radiocarbon date a varve, we get the same date for it as we obtain by counting the varves.
Also it is obviously possible to carbon-date one of thegrowth rings of a tree, and to compare the date produced by radiocarbon dating with the date produced bydendrochronology. Such dates typically agree to within 1 or 2 per cent.
Although the radiocarbon dates agree closely withdendrochronology, they do not agree exactly. It is generally agreed that the dendrochronological dates should be considered the more accurate. The proportion of14C in the atmosphere is not absolutely constant; for example, it can be reduced by volcanic activity, since the carbon dioxide emitted by volcanoes is richer in12C than atmospheric carbon dioxide. By comparison the behavior of the genera of trees used in dendrochronology is more reliable and consistent.
It is therefore standard procedure to tweak the raw radiocarbon dates to bring them in line with dendrochronology, producing what are known as calibrated radiocarbon dates. This allows us to combine the greater accuracy of dendrochronology with the wider applicability of radiocarbon dating.
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