Modern Physics

Nuclear Binding Energy

Eb=Δm⋅c2=[Zmp+Nmn−M]c2E_b = \Delta m \cdot c^2 = [Zm_p + Nm_n - M]c^2

Energy required to disassemble a nucleus into separate nucleons.

Variables

Eb
Binding energy
J
Δm
Mass defect
kg
Z
Number of protons
unitless
N
Number of neutrons
unitless
mp
Proton mass
kg
mn
Neutron mass
kg
M
Nuclear mass
kg

Your notes

0/5000

Constants in this formula

mp
1.673 × 10⁻²⁷. Measured (CODATA 2018).
kg

Where this formula is listed

Common questions

What is the Nuclear Binding Energy formula?

Nuclear Binding Energy is written E_b = Δm · c² = [Zm_p + Nm_n − M]c². Energy required to disassemble a nucleus into separate nucleons. It belongs to Modern Physics, under Nuclear Physics.

What are the units in E_b = Δm · c² = [Zm_p + Nm_n − M]c²?

In SI units, E_b is binding energy, measured in J; Δm is mass defect, measured in kg; Z is number of protons (dimensionless); N is number of neutrons (dimensionless); m_p is proton mass, measured in kg; m_n is neutron mass, measured in kg; M is nuclear mass, measured in kg.