The Coulomb capture of muons accompanied by Auger electron emission has been calculated by treating the process as internal conversion of El γ radiation. Emission of K, LI, LII, LIII, MIand NIelectrons was investigated, and emission of elections from the other M and N subshells was considered in a very rough manner. Conversion coefficients by Hager and Seltzer, and by Dragoun, Pauli and Schmutzler were used. Numerical calculations were carried out forZ= 30 andZ= 60. The results are expected to be best applicable to the case of mono-atomic gases. By extrapolating the values we obtained good agreement with recent experimental results on Ne and A.