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This explains why the Wikipedia article on Carbon $ lists the half-life of Carbon 14 as 30 \pm 40$ years.Other resources report this half-life as the absolute amounts of 30$ years, or sometimes simply 00$ years.The highest rate of carbon-14 production takes place at altitudes of 30,000 to 50,000 feet, and at higher geomagnetic latitudes, but the carbon-14 spreads evenly throughout the atmosphere and reacts with oxygen to form carbon dioxide.

The technique was discovered by Willard Frank Libby and his colleagues in 1949.The decay of Carbon $ into stable Nitrogen $ does not take place in a regular, determined fashion: rather it is governed by the laws of probability and statistics formalized in the language of quantum mechanics.As such, the reported half life of 30 \pm 40$ years means that $ years is the standard deviation for the process and so we expect that roughly $ percent of the time half of the Carbon $ in a given sample will decay within the time span of 30 \pm 40$ years.In addition, there are tiny amounts of the unstable isotope carbon-14 (14C) on Earth.Carbon-14 has a half-life of just under 6000 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 forms more of the isotope.

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