Energy equivalent to mass defect is called binding energy. A nucleus is like a rigid spherical ball formed by bringing together a large number of tiny spherical balls in the form of nucleons.

Something is needed to keep the nucleons together. That something is binding energy which serves the purpose of glue. To provide the binding energy each nucleon has to contribute some of its mass resulting in mass defect.

**"Binding energy is a measure of the strength of the bondage. More binding energy means more strong binding."**

**Binding Energy Formula** is expressed as

Something is needed to keep the nucleons together. That something is binding energy which serves the purpose of glue. To provide the binding energy each nucleon has to contribute some of its mass resulting in mass defect.

Binding energy is the energy equivalent of the mass deficiency, energy released in the formation of an atom from subatomic particles.

Related Calculators | |

Gravitational Potential Energy Formula Calculator | Mass to Energy |

Activation Energy Calculator | Calculate Kinetic Energy |

Solved problems based on binding energy are given below. ### Solved Examples

**Question 1: **Calculate the binding energy per nucleon for an alpha particle whose mass defect is calculated as 0.0292amu.

** Solution: **

Binding energy = Mass defect $\times$ 931MeV

Binding energy = 0.0292 $\times$ 931 = 27.1852MeV

Binding energy per nucleon = $\frac{27.1852}{4}$ = 6.7963MeV

**Question 2: **Find the nuclear binding energy for ^{9}Be_{4} in which the mass defect is given by 0.06248amu?

** Solution: **

Binding energy per nucleus = $\Delta$m $\times$ c^{2} $\times$ 931MeV

Binding energy per nucleus = 0.06248 $\times$ 931.5 = 58.20 MeV

Number of nucleons in^{9}Be_{4 }= 9

Binding energy per nucleon = $\frac{58.20}{9}$ MeV = 6.47MeV

Binding energy = Mass defect $\times$ 931MeV

Binding energy = 0.0292 $\times$ 931 = 27.1852MeV

Binding energy per nucleon = $\frac{27.1852}{4}$ = 6.7963MeV

Binding energy per nucleus = $\Delta$m $\times$ c

Binding energy per nucleus = 0.06248 $\times$ 931.5 = 58.20 MeV

Number of nucleons in

Binding energy per nucleon = $\frac{58.20}{9}$ MeV = 6.47MeV