With the radioactive half-life formula, you may check the tendency of a nucleus to decay and this is a matter of probability completely. The size of tiny nuclear will be compared to the atom and the enormity of forces that makes it completely impervious to the outside world.
The half-life of a radioactive material is usually independent of its physical state, temperature, pressure etc. or the chemical compound in which nucleus finds itself or it will check the external influencing factors too.
Further, the half-life is independent of the atomic surface and it is independent of the physical factors of outside world too. The most important things that could affect the half-life badly is direct interaction with the nucleus with a particular particle form the outside. For example, high energy collision in an accelerator.
In brief, the half-life of a radioactive substance is the total time taken by the substance to decrease by half. Previously, it was described as the decay of radioactive elements like Uranium, Plutonium etc. The half-life could also be defined the total rate of decay which is the initial quantity remaining after a measured time period. It is usually defined as the half time taken by original isotopes to decay. The radioactive half-life formula in Chemistry is given as –
Nt = mass of radioactive material at time interval (t)
N0 = mass of the original amount of radioactive material
k = decay constant
t = time interval (t1/2 for the half-life)
The concept is little tough when learned theoretically, the best idea is to practice the concept practically by problems and get a deep idea how it works actually. By plugging the values into formula, the calculation of final outcomes is completed in minutes.