the average or expected time a given atom will survive before undergoing radioactive decay. The calculations involve several steps and include an intermediate value called the "radiocarbon age", which is the age in "radiocarbon years" of the sample: an age quoted in radiocarbon years means that no calibration curve has been used − the calculations for radiocarbon years assume that the , which for more than a decade after Libby's initial work was thought to be 5,568 years.

Libby and James Arnold proceeded to test the radiocarbon dating theory by analyzing samples with known ages.

For example, two samples taken from the tombs of two Egyptian kings, Zoser and Sneferu, independently dated to 2625 BC plus or minus 75 years, were dated by radiocarbon measurement to an average of 2800 BC plus or minus 250 years. Carbon dioxide produced in this way diffuses in the atmosphere, is dissolved in the ocean, and is taken up by plants via photosynthesis.

thus introduced takes a long time to percolate through the entire volume of the ocean.

The deepest parts of the ocean mix very slowly with the surface waters, and the mixing is uneven.

Research has been ongoing since the 1960s to determine what the proportion of in the atmosphere has been over the past fifty thousand years.

The resulting data, in the form of a calibration curve, is now used to convert a given measurement of radiocarbon in a sample into an estimate of the sample's calendar age.

The development of radiocarbon dating has had a profound impact on archaeology.

In addition to permitting more accurate dating within archaeological sites than previous methods, it allows comparison of dates of events across great distances.

Neither the pre-existing Egyptian chronology nor the new radiocarbon dating method could be assumed to be accurate, but a third possibility was that the In the 1960s, Hans Suess was able to use the tree-ring sequence to show that the dates derived from radiocarbon were consistent with the dates assigned by Egyptologists.

This was possible because although annual plants, such as corn, have a The New Zealand curve is representative of the Southern Hemisphere; the Austrian curve is representative of the Northern Hemisphere.

Animals eat the plants, and ultimately the radiocarbon is distributed throughout the biosphere.