User:Pete4999/Ruocco's Theorem

Ruocco's Theorem is a fairly simple mathematical derivation. It deals with subjects in the fields of radioactive decay with respect to half lives

The Formula
This is the formula which is proposed by Ruocco's Theorem.


 * $$ y = \frac {C}{2 ^ {(t/H)}} $$

given the following:


 * y = the amount of the substance remaining after t units have elapsed = $$C_t$$


 * C = the amount of the substance at t = 0


 * t = the time elapsed during the case


 * H = the half-life of the material in question

The formula takes into account several assumptions. Below are some of the assumptions necessary when applying Ruocco's Theorem.

1. For exponential decay, the half-life (in this case, $$H = t_{1/2}$$) obeys this relation:

H = t_{1/2} = \frac{\ln (2)}{\lambda} $$