Radiocarbon dating Totally Explained

Everything about Radiocarbon Dating totally explained

Radiocarbon dating is a radiometric dating method that uses the naturally occurring radioisotope carbon-14 (¹⁴C) to determine the age of carbonaceous materials up to about 60,000 years. Raw, for example uncalibrated, radiocarbon ages are usually reported in radiocarbon years "Before Present" (BP), "Present" being defined as AD 1950. Such raw ages can be calibrated to give calendar dates. The technique of radiocarbon dating was discovered by Willard Libby and his colleagues in 1949 during his tenure as a professor at the University of Chicago. Libby estimated that the steady state radioactivity concentration of exchangeable carbon-14 would be about 14 disintegrations per minute (dpm) per gram. In 1960, he was awarded the Nobel Prize in chemistry for this work. He first demonstrated the accuracy of radiocarbon dating by accurately measuring the age of wood from an ancient Egyptian royal barge whose age was known from historical documents.
One of the frequent uses of the technique is to date organic remains from archaeological sites. Plants fix atmospheric carbon during photosynthesis, so the level of ¹⁴C in living plants and animals equals the level of ¹⁴C in the atmosphere.

Basic physics

Carbon has two stable, nonradioactive isotopes: carbon-12 (¹²C), and carbon-13 (¹³C). In addition, there are trace amounts of the unstable isotope carbon-14 (¹⁴C) on Earth. Carbon-14 has a half-life of 5730 years and would have long ago vanished from Earth were it not for the unremitting cosmic ray impacts on nitrogen in the Earth's atmosphere, which create more of the isotope. The neutrons resulting from the cosmic ray interactions participate in the following nuclear reaction on the atoms of nitrogen molecules (N₂) in the atmospheric air:
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n + mathrm

Measurements and scales

Measurements are traditionally made by counting the radioactive decay of individual carbon atoms by gas proportional counting or by liquid scintillation counting. For samples of sufficient size (several g carbon) this method is still widely used in the 2000s. Among others, all the tree ring,samples used for the calibration curves (see below), were determined by this counting technique. Such decay counting, however, is relatively insensitive and subject to large statistical uncertainties for small samples. When there's little carbon-14 to begin with, the long radiocarbon half-life means that very few of the carbon-14 atoms will decay during the time allotted for their detection, resulting in few disintegrations per minute.
   The sensitivity of the method has been greatly increased by the use of Accelerator Mass Spectrometry (AMS). With this technique ¹⁴C atoms can be detected and counted directly vs only detecting those atoms that decay during the time interval allotted for an analysis. AMS allows dating samples containing only a few milligrams of carbon.
   Raw radiocarbon ages (for example, those not calibrated) are usually reported in "years Before Present" (BP). This is the number of radiocarbon years before 1950, based on a nominal (and assumed constant - see "calibration" below) level of carbon-14 in the atmosphere equal to the 1950 level. These raw dates are also based on a slightly-off historic value for the radiocarbon half-life. Such value is used for consistency with earlier published dates (see "Radiocarbon half-tfe" below). See the section on computation for the basis of the calculations.
   Radiocarbon dating laboratories generally report an uncertainty for each date. For example, 3000±30BP indicates a standard deviation of 30 radiocarbon years. Traditionally this included only the statistical counting uncertainty. However, some laboratories supplied an "error multiplier" that could be multiplied by the uncertainty to account for other sources of error in the measuring process. More recently, the laboratories try to quote the overall uncertainty, which is determined from control samples of known age and verified by international intercomparison exercises . In 2008, a typical uncertainty better than ±40 radiocarbon years can be expected for samples younger than 10,000 years. This, however, is only a small part of the uncertaintainty of the final age determination (see section Calibration below).
   At present (2007), the limiting age is about ten half-lives, for example 60,000 years .
   A variety of sample processing and instrument-based constraints have been postulated for this limit. To examine instrument-based backgrounds in the University of California Keck Carbon Cycle AMS spectrometer, measurements were performed on a set of natural diamonds. Natural diamond samples from different sources within rock formations with standard geological ages in excess of 100 my yielded raw ¹⁴C ages 64,920±430 BP to 80,000±1100 BP as reported in 2007. In contrast to the sample processing and instrument-based background theories, the authors of an AMS instrument background study conclude: "¹⁴C from the actual sample is probably the dominant component of the 'routine' background." .

Calibration

The need for calibration

A raw BP date can't be used directly as a calendar date, because the level of atmospheric ¹⁴C hasn't been strictly constant during the span of time that can be radiocarbon dated. The level is affected by variations in the cosmic ray intensity which is affected by variations in the earth's magnetosphere. In addition there are substantial reservoirs of carbon in organic matter, the ocean, ocean sediments (see methane hydrate), and sedimentary rocks. Changing climate can sometimes disrupt the carbon flow between these reservoirs and the atmosphere. The level has also been affected by human activities—it was almost doubled for a short period due to atomic bomb tests in the 1950s and 1960s and has been lowered by the admixture of large amounts of CO₂ from ancient organic sources relatively depleted in ¹⁴C —the combustion products of fossil fuels used in industry and transportation, known as the Suess effect.

Calibration methods

The raw radiocarbon dates, in BP years, are calibrated to give calendar dates. Standard calibration curves are available, based on comparison of radiocarbon dates of samples that can be dated independently by other methods such as examination of tree growth rings (dendrochronology), deep ocean sediment cores, lake sediment varves, coral samples, and speleothems (cave deposits).
The calibration curves can vary significantly from a straight line, so comparison of uncalibrated radiocarbon dates (for example, plotting them on a graph or subtracting dates to give elapsed time) is likely to give misleading results. There are also significant plateaus in the curves, such as the one from 11,000 to 10,000 radiocarbon years BP, which is believed to be associated with changing ocean circulation during the Younger Dryas period. Over the historical period from 0 to 10,000 years BP, the average width of the uncertainty of calibrated dates was found to be 335 years, although in well-behaved regions of the calibration curve the width decreased to about 113 years while in ill-behaved regions it increased to a maximum of 801 years. Significantly, in the ill-behaved regions of the calibration curve, increasing the precision of the measurements doesn't have a significant effect on increasing the accuracy of the dates.
The 2004 version of the calibration curve extends back quite accurately to 26,000 years BP. Any errors in the calibration curve don't contribute more than ±16 years to the measurement error during the historic and late prehistoric periods (0 - 6,000 yrs BP) and no more than ±163 years over the entire 26,000 years of the curve, although its shape can reduce the accuracy as mentioned above.

Radiocarbon half-life

Libby vs Cambridge values

Carbon dating was developed by a team led by Willard Libby. Originally a carbon-14 half-life of 5568±30 years was used, which is now known as the Libby half-life. Later a more accurate figure of 5730±40 years was determined, which is known as the Cambridge half-life. This is, however, not relevant for radiocarbon dating. If calibration is applied, the half-life cancels out, as long as the same value is used throughout the calculations. Laboratories continue to use the Libby figure to avoid inconsistencies with previous publications.

Carbon exchange reservoir

Libby's original exchange reservoir hypothesis assumes that the exchange reservoir is constant all over the world. The calibration method also assumes that the temporal variation in ¹⁴C level is global, such that a small number of samples from a specific year are sufficient for calibration. However, since Libby's early work was published (1950 to 1958), latitudinal and continental variations in the carbon exchange reservoir have been observed by Hessel de Vries (1958; as reviewed by Lerman et al., 1959, 1960). Subsequently, methods have been developed that allow the correction of these so-called reservoir effects, including:

When CO₂ is transferred from the atmosphere to the oceans, it initially shares the ¹⁴C concentration of the atmosphere. However, turnaround times of CO₂ in the ocean are similar to the half-life of ¹⁴C (making ¹⁴C also a dating tool for ocean water, ). Marine organisms feed on this "old" carbon, and thus their radiocarbon age reflects the time of CO₂ uptake by the ocean rather than the dead of the organism. This marine reservoir effect is partly handled by a special marine calibration curve, but local deviation of several 100 years exist.

Erosion and immersion of carbonate rocks (which are generally older than 80,000 years and so wouldn't contain measurable ¹⁴C) causes an increase in ¹²C and ¹³C in the exchange reservoir, which depends on local weather conditions and can vary the ratio of carbon that living organisms incorporate. This is believed negligible for the atmosphere and atmosphere-derived carbon since most erosion will flow into the sea.. The atmospheric ¹⁴C concentration may differ substantially from the concentration in local water reservoirs. Eroded from CaCO₃ or organic deposits, old carbon may be assimilated easily and provide diluted ¹⁴C carbon into trophic chains. So the method is less reliable for such materials as well as for samples derived from animals with such plants in their food chain.

Volcanic eruptions eject large amount of carbonate into the air, causing an increase in ¹²C and ¹³C in the exchange reservoir and can vary the exchange ratio locally. This explains the often irregular dating achieved in volcanic areas. These effects were first confirmed when samples of wood from around the world, which all had the same age (based on tree ring analysis), showed deviations from the dendrochronological age. Calibration techniques based on tree-ring samples have contributed to increase the accuracy since 1962, when they were accurate to 700 years at worst. Fomenko's recent analyses and criticism of the radiocarbon dating method are, thus, invalid because they refer to the earlier, now obsolete, radiocarbon dates.

Speleothem studies extend ¹⁴C calibration

Relatively recent (2001) evidence has allowed scientists to refine the knowledge of one of the underlying assumptions. A peak in the amount of carbon-14 was discovered by scientists studying speleothems in caves in the Bahamas. Stalagmites are calcium carbonate deposits left behind when seepage water, containing dissolved carbon dioxide, evaporates. Carbon-14 levels were found to be twice as high as modern levels. These discoveries improved the calibration for the radiocarbon technique and extended its usefulness to 45,000 years into the past.

Examples

Ancient footprints of Acahualinca

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