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Half-life in (radio)chemistry is the length of time it takes, on average, for a radionuclide (radioactive nuclide) to decay to something else, and leave one-half of its original mass behind. Half-life is logarithmic, so, after a second half-life, one quarter of the mass remains, etc., making a sequence 1/2, 1/4, 1/8, 1/16, etc.

One equation for half-life - there are several - all the same - is ...

AT = A0 2(-T/H)

... where A0 is the starting activity (or mass), AT is the activity after some time T, and H is the half-life in units of T.

One complication is that many radionuclides decay to other radionuclildes, each with their own half-life. As a result, analysis of half-life requires differentiation between different radionuclides, otherwise the results can be in error.

The reason for the last statement is that activity is defined as the number of disintegration's per unit of time, i.e. one curie of activity is defined as the amount of material that exhibits 3.7 x 1010 disintegration's (or decays) per second, and if you simply count disintegration rate, without regard to energy or other criteria, your results will often be in error.

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