Radiocarbon Tree-Ring Calibration

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Tree rings are used to calibrate radiocarbon measurements. Calibration is necessary to account for changes in the global radiocarbon concentration over time. Results of calibration are reported as age ranges calculated by the intercept method or the probability method, which use calibration curves. The internationally agreed calibration curves for the period reaching as far back as BC are those produced by PJ Reimer et al. Calibration curves have a dendro timescale on the x-axis and radiocarbon years on the y-axis.

Calibration is not only done before an analysis but also on analytical results as in the case of radiocarbon dating —an analytical method that identifies the age of a material that once formed part of the biosphere by determining its carbon content and tracing its age by its radioactive decay. Carbon is a naturally occurring isotope of the element carbon. Results of carbon dating are reported in radiocarbon years, and calibration is needed to convert radiocarbon years into calendar years.

It should be noted that a BP notation is also used in other dating techniques but is defined differently, as in the case of thermoluminescence dating wherein BP is defined as AD It is also worth noting that the half-life used in carbon dating calculations is years, the value worked out by chemist Willard Libby, and not the more accurate value of years, which is known as the Cambridge half-life.

Although it is less accurate, the Libby half-life was retained to avoid inconsistencies or errors when comparing carbon test results that were produced before and after the Cambridge half-life was derived. Radiocarbon measurements are based on the assumption that atmospheric carbon concentration has remained constant as it was in and that the half-life of carbon is years.

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Measurement of N, the number of 14 C atoms currently in the sample, allows the calculation of t, the age of the sample, using the equation above. The above calculations make several assumptions, such as that the level of 14 C in the atmosphere has remained constant over time. The calculations involve several steps and include an intermediate value called the “radiocarbon age”, which is the age in “radiocarbon years” of the sample:

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