## Binding Energy Formula

Binding energy is defined as the amount or quantity of energy essential to distinct a particle from the bulk of the particles or to separate all the particles from the system. The binding energy formula is generally used to determine the nuclear physics fields.

## Binding Energy

The energy which is required to distinguish a particle from a group of particles or may scatter all the gathering’s particles by application of energy or force known as binding energy. In modest words, the binding energy is energy that is required for the separation of all the particles gathering into distinct units.

Binding energy was first discovered by F.W. Aston in 1920. The word binding energy belongs to a physics subject under the division of nuclear physics and atomic physics and binding energy also belongs to the branch of chemistry.

Under the branch of atomic physics, the binding energy is the lowest energy required to either eliminate the neutrons and protons that are together called as nucleons.

While in Nuclear physics, the binding energy is generally considered the energy of separation. Mass Energy is the idea related to the binding energy.

## Types of Binding Energy

There are numerous types of binding energy that are operated over diverse distances and diverse energy scales.

- Electron Binding Energy – Ionization Energy
- Atomic Binding Energy
- Nuclear Binding Energy
- Mass Deficit or Mass Change
- Mass-Energy Relation
- Nuclear Fusion and Nuclear Fission
- Bond Dissociation Energy or Bond Energy
- Gravitational Binding Energy
- Binding energy curve indications

## Binding Energy Formula

Binding Energy = mass defect x c^{2}

Where, c = speed of light in a vacuum

c = 2.9979 x 10^{8} m/s.

## Uses of Binding Energy Formula

Binding energy is generally used to analyze the field of nuclear physics. It is fundamentally useful in two areas, which are nuclear fission and nuclear fusion. Both the areas of binding energy study and examine the nuclei split and light nuclei fuse. Additionally, the binding energy is used to harvest electricity and also nuclear weapons.

## Solved Examples

**1. Estimate the binding energy per nucleon for an alpha particle whose mass defect is estimated and is 0.0492amu.**

Given: mass defect = 0.0492amu

Change the mass defect into kg (1 amu = 1.6606 x 10^{-27} kg)

Mass defect = (0.0492) (1.6606 x 10^{-27})

Mass defect = 0.08170 x 10^{-27} kg/nucleus

Now, change this mass into energy with the help of

DE = Dmc^{2},

Where c = 2.9979 x 10^{8} m/s.

E = (0.08170 x 10^{-27}) (2.9979 x 10^{8})^{2}

E = 0.244 x 10^{-11} J/nucleus

**2. Convert Energy in terms of kJ/mole **

1 kJ = 1000 J

Change to mole by multiplying with the Avogadro number (6.022 x 10^{23} nuclei/mol)

Therefore,

E = (0.244 x 10^{-11}) (6.022 x 10^{23})/1000

Binding Energy E = 1.46 x 10^{9 }kJ/mole