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Why is carbon 14 useful in radioactive dating but not nuclear medicine

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Carbon is a radioactive isotope used to date organic material. Its consistent rate of decay allows the age of an object to be determined by the proportion of carbon to other carbon isotopes. This process is called radiocarbon dating. Carbon is also used as a radioactive tracer for medical tests.
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Why is Carbon-14 useful in radioactive dating, but not as useful in nuclear medicine?

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schoolphysics ::Welcome::

Carbon 14 C , or radiocarbon , is a radioactive isotope of carbon with an atomic nucleus containing 6 protons and 8 neutrons. Its presence in organic materials is the basis of the radiocarbon dating method pioneered by Willard Libby and colleagues to date archaeological, geological and hydrogeological samples. Its existence had been suggested by Franz Kurie in The primary natural source of carbon on Earth is cosmic ray action on nitrogen in the atmosphere, and it is therefore a cosmogenic nuclide.
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Why does radioactive dating work

Most everyone has heard of Carbon dating on the news or elsewhere sometime in the past years. In this article I hope to explain the theoretical and physical science behind Carbon dating, and discuss how it affects our lives and the validity of the process. Scientists use Carbon dating for telling the age of an old object, whose origin and age cannot be determined exactly by normal means. Because of this method Chemistry has become intertwined with History, Archeology, Anthropology, and Geology.
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The nucleus of carbon 14 contains 6 protons and 8 neutrons, as opposed to the 6 and 6 found in ordinary carbon The imbalance makes carbon 14 a radioisotope with a half-life of 5, years, and an emitter of beta particles. This radioactive isotope of carbon is called radiocarbon. The carbon 14 found in nature is constantly being regenerated by cosmic rays hitting the atmosphere. The rate at which the regeneration takes place has gone virtually unchanged for centuries; a feature which depends on the flux of particles bombarding the earth, and the strength of the magnetic field capable of diverting them.
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