a
\(m\,\, = \, \frac{{{m_p}{m_\mu }}}{{{m_p} + {m_\mu }}}\,\, \)

\(= \,\,\frac{{1836\,{m_e}\, \times \,\,207\,\,{m_e}}}{{1836\,{m_e}\, + \,207\,{m_e}}}\,\, \approx \,\,186\,{m_e}\,\)

તેથી ભૂમિ અવસ્થા ઉર્જા \({\text{(n  =  1, Z  =  1)}}\)

\({E_1} = \,\, - \frac{{2{\pi ^2}m{K^2}{e^4}}}{{{h^2}}}\,\, \)

\(= \,\,\frac{{{m_e}}}{m}\,\,\left[ {\frac{{2{\pi ^2}{m_e}{K^2}{e^4}}}{{{h^2}}}} \right]\,\,\)

\(\,\, - \,186\,\, \times \,\,13.6\,\,eV\)

આયનીકરણ ઊર્જા = \(- E_1 = 186 × 13.6 eV = 2.53  \,keV\)