\[E_b=\Delta mc^2\]
Variables
Ebbinding energy (J)
dm[Δm]mass defect (kg)
cspeed of light in vacuum (m/s)
Description
What is this formula?
This formula calculates the nuclear binding energy from the mass defect of a nucleus using mass-energy equivalence. Binding energy represents the energy required to completely separate a nucleus into its constituent nucleons.
When to use it
Use this equation in nuclear structure studies, isotope stability analysis, fusion calculations, and nuclear energy problems.
Example
Given:
Δm=4×10^-30 kg
c=2.9979×10^8 m/s
Formula:
Eb=Δmc²
Substitution:
Eb=(4×10^-30)(2.9979×10^8)²
Result:
Eb=3.60×10^-13 J
Applications
- Nuclear stability analysis
- Fusion calculations
- Fission studies
- Nuclear structure analysis
- Energy calculations