Principles of isotopic dating All absolute isotopic ages are based on radioactive decaya process whereby a specific atom or isotope is converted into another specific atom or isotope at a constant and known rate. The recognition that the rate of decay of any radioactive parent atom is proportional to the number of atoms N of the parent remaining at any time gives rise to the following expression: With t made explicit and half-life introduced, equation 4 is converted to the following form, in which the symbols have the same meaning: Since the initial number of parent atoms present at time zero N 0 must be the sum of the parent atoms remaining N and the daughter atoms present Done can write: Substituting this in equation 6 gives If one chooses to use P to designate the parent atom, the expression assumes its familiar form: Likewise, the conditions that must be met to make the calculated age precise and meaningful are in themselves simple: The decay constant must be known. Olson Thomas Edvard Krogh Evaluation and presentation schemes in dating Origin of radioactive elements used In order for a radioactive parent-daughter pair to be useful for dating, many criteria must be met.
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