Explain potassium 40 dating

The nuclear model accounting for the magic numbers is, as previously noted, the shell model.In its simplest form, this model can account for the occurrence of spin zero for all even–even nuclear ground states; the nucleons fill pairwise into orbitals with angular momenta canceling.A few other odd–odd nuclei, such as potassium-40, occur in nature, but they are unstable with respect to beta decay.

Finally, there is a pairing term that gives slight extra binding to nuclei with even numbers of neutrons or protons.The explanations of these stabilities are quite analogous in atomic and nuclear cases as arising from filling of particles into quantized orbitals of motion.The completion of filling of a shell of orbitals is accompanied by an extra stability.The pairing-energy term accounts for the great rarity of odd–odd nuclei (the terms odd–odd, even–even, even–odd, and odd–even refer to the evenness or oddness of proton number, beta decay.

The sole examples are deuterium, lithium-6, boron-10, and nitrogen-14.

(range of the rates of radioactive decay, from undetectably slow to unmeasurably short.