The half-life and the decay constant are inversely proportional because rapidly decaying radioisotopes have a high decay constant but a short half-life. With t made explicit and half-life introduced, equation 4 is converted to the following form, in which the symbols have the same meaning:. Alternatively, because the number of daughter atoms is directly observed rather than Nwhich is the initial number of parent atoms present, another formulation may be more convenient.
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