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Average Binding Energy of nucleus (or Binding Energy per Nucleon

Jagdeep Singh
Average Binding Energy

Definition

The binding energy per nucleon is the average energy required to release a nucleon from the nucleus. It is given as

Mathematically

Binding energy per nucleon =
Binding Energy Equation

= Equation 2

= Equation 3 using eqn. From binding energy of nucleus

The B.E. energy per nucleon (or average binding energy) of a nucleus is more important than total binding energy of the nucleus because B.E. over A determines the stability of the nucleus. Higher is the value of the binding energy per nucleon, more stable is the nucleus. The nuclei with less binding energy per nucleon are comparatives, less stable.

Table

The values of B.E. and B.E. over A for few nuclei are given in the following table.

Binding Energy Table
Nuclei Binding Energy Binding Energy Per Nucleon
1H2 2.22 MeV 1.11 MeV
2He4 28.32 MeV 7.08 MeV
3Li7 37.66 MeV 5.38 MeV
17Cl35 287.84 MeV 8.22 MeV
26Fe56 492.26 MeV 8.79 MeV
83Bi209 1640.26 MeV 7.85 MeV
92U238 1786.0 MeV 7.6 MeV

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