Abstract
This is a theoretical model in a quest to analyze the decay of from its parent nucleus to in the process which enormous energy in the order of ( ) is giving off leading to a critical annihilation reaction due to the positron ( ) emission that is liberated with the daughter element. The focus here is the prevalence of in most soil formation and compounds globally, with relativity in concentrations in living and non-living materials. The NUDAT sheet has been developed as a platform enriched with entire decay profile of nuclides and hence it enhances the traceability of nuclear information of all elements. It is evident phenomenon in the spectroscopy of gamma and X-ray of that energy is liberated in the range of ( ) respectively, at an emission or decay process of , , , with a profound annihilation result. This corresponds with intensity in the order of and . This is also featured with the amount of dose delivered during the annihilation in the order of and .The parameters recorded in the result have critically delivered a transformed parent to a daughter nuclei of and through this milestone, the amount of Potassium-40 ( ) present in the rock/mineral could be precisely determined. The careful theoretical and practical application of this model will indeed give both direct and indirect precision about the radiological transformation, impact and a suitable data for environmental and health accounts as against the prior assumptions that decay time and product cannot be predicted.

Key words: : Potassium-40, annihilation reaction, NUDAT, gamma/X-rays, theoretical : Potassium-40, annihilation reaction, NUDAT, gamma/X-rays, theoretical Annihilation reaction, theoretical, gamma rays,NUDAT