\[E_b = \Delta m c^2\]
Variables
Ebbinding energy (J)
dmmass defect (kg)
cspeed of light in vacuum (299792458 m/s)
Description
What is this formula?
The binding energy equation calculates the energy required to separate a bound system of particles based on the associated mass defect.
When to use it
Use this formula when analyzing atomic nuclei, nuclear reactions, particle physics, or energy released in fusion and fission processes.
Example
A nuclear reaction has a mass defect of 2×10^-29 kg.
Data:
dm = 2×10^-29 kg
c = 299792458 m/s
Formula:
Eb = dm*c²
Substitution:
Eb = 2×10^-29*(299792458)²
Result:
Eb ≈ 1.80×10^-12 J
Applications
Nuclear physics, particle physics, fusion energy, fission reactors, astrophysics, and high-energy physics.