The time required for half of a radioactive substance to decay, here 717,000 years for aluminum-26.Half-life is the time required for half of the atoms in a radioactive sample to decay. For aluminum-26, this is about 717,000 years, meaning that if you start with a kilogram of it, after 717,000 years you'd have half a kilogram, after another 717,000 years a quarter, and so on. It's a statistical measure that applies to large numbers of atoms, not a prediction of when any single atom will decay.
The concept was introduced by Ernest Rutherford in 1907, who used it to describe the decay of radioactive elements and their dating potential.
Radioactive decay is a random process at the level of individual atoms, but with a constant probability per unit time for each atom. This probability is characterized by the decay constant, and the half-life is simply ln(2) divided by that constant. The exponential decay law emerges naturally from this constant probability, giving the characteristic 'half-life' behavior.
Half-lives are used in radiometric dating (e.g., carbon-14 for archaeology, uranium-lead for geology), in nuclear medicine for isotope dosing, and in nuclear waste management to plan storage times.
The half-life of aluminum-26 is long enough that it was present in the early solar system and its decay is used to date meteorite formation.








