begin mathsize 36px style Z equals fraction numerator 38 A over denominator 0.6 A to the power of begin display style bevelled 2 over 3 end style end exponent plus 76 end fraction end style

A = Mass number; Z= Atomic Number = Number of protons present in the nucleus 




This equation has been deduced from the semi-emperical mass equation : mN = Z.mP + (A-Z)mN - (NBE)/931. NBE is the total nuclear binding energy. The above equation relates the   mass number and the number of protons of a stable nucleus. With this equation, one can obtain the most stable nuclide corresponding to a certain mass number. For example the most stable nuclide with A=180 would have 72 protons in its nucleus. 

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