Nuclear Binding Energy and Mass Defect Assignment Help

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Nuclear Binding Energy and the Mass defect: It is observed that the atomic mass of all the nuclei (excluding hydrogen) is different from the sum of the masses of protons and neutrons. The difference is called as mass defect.

Mass defect = Total mass of nucleons - obs. atomic mass

The mass defect can be converted into energy. This energy is called as binding energy. This is the energy needed to break the nucleus into its constituents (which are p and n).

Binding energy = Mass defect * 931 MeV

The stability of nucleus is explained on the value of the binding energy per nucleon and not on basis of the total binding energy. Binding energy per nucleon is highest (8.7 MeV) in the case of iron (56). The value of the binding energy per nucleon can be increased either by fusion of the lighter nuclei or by the fission of heavier nuclei.

The value of binding energy predicts relative stability of the different isotopes of the element. If the value of binding energy is negative in nature, then the product nucleus or nuclei will be much less stable than the reactant nucleus. Therefore the relative stability of the different isotopes of an element can be predicted by values of binding energy for each of the successive addition of one neutron to nucleus.

1463_Mass Defect.png

Hence, 2He4 is more stable than 2He3 and 2He5.

 

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