half-life decay reaction is a first order reaction which uses the formula : t 1/2 = ln 2 / k where k is the decay constant and t 1/2 is the half-life of the material. ln 2 comes from the division of the material into half. k from literature is equal to 0.1551×10−9 yr−1. substituting, t1/2 = 4.468×109 years.