Answer to Question #109520 in Electricity and Magnetism for Titomi

Question

Find the binding energy of helium 3 and helium 4

Answer 1

The binding energy of ₂³He is

$$E_b=\Delta mc^2,\\ \Delta m=Zm_p+(A-Z)m_n-m_\text{He},\\ E_b=(Zm_p+(A-Z)m_n-m_\text{He})c^2=\\ =(2\cdot 1.007 276+(3-2)\cdot1.008 664-\\-3.016029)\text{u}\cdot c^2 \cdot931.49\space\frac{\text{MeV}/c^2}{\text{u}}=6.695\text{ MeV}.$$

The binding energy of ₂⁴He is, likewise:

$$E_b=\\=(2\cdot 1.007 276+(4-2)\cdot1.008 664-4.002603)\text{u}×\\× c^2 \cdot931.49\space\frac{\text{MeV}/c^2}{\text{u}}=27.27\text{ MeV}.$$