Mass Defect
\[\Delta m=m_n-m\]

Variables

dm[Δm]mass defect (kg)
mnsum of individual nucleon masses (kg)
mmeasured nucleus mass (kg)

Description

What is this formula?


This formula calculates the mass defect of an atomic nucleus. The mass defect is the difference between the sum of the masses of all separate nucleons and the actual measured mass of the nucleus.


When to use it


Use this formula in nuclear physics when calculating nuclear binding energy, analyzing isotope stability, and studying nuclear reactions.


Example


Given:


mn=6.695×10^-27 kg


m=6.691×10^-27 kg


Formula:


Δm=mn−m


Substitution:


Δm=(6.695×10^-27)-(6.691×10^-27)


Result:


Δm=4×10^-30 kg


Applications


- Nuclear binding energy calculations

- Isotope stability analysis

- Nuclear structure studies

- Fusion calculations

- Fission calculations

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