Auger Spectra and Different Ionic Charges Following $3s$, $3p$ and $3d$ Sub-Shells Photoionization of Kr Atoms

The decay of inner-shell vacancy in an atom through radiative and non-radiative transitions leads to final charged ions. The de-excitation decay of $3s$, $3p$ and $3d$ vacancies in Kr atoms are calculated using Monte–Carlo simulation method. The vacancy cascade pathway resulted from the de-excitation decay of deep core hole in $3s$ subshell in Kr atoms is discussed. The generation of spectator vacancies during the vacancy cascade development gives rise to Auger satellite spectra. The last transitions of the de-excitation decay of $3s$, $3p$ and $3d$ holes lead to specific charged ions. Dirac–Fock–Slater wave functions are adapted to calculate radiative and non-radiative transition probabilities. The intensity of $\mathrm{Kr}^{4+}$ ions are high for $3s$ hole state, whereas $\mathrm{Kr}^{3+}$ and $\mathrm{Kr}^{2+}$ ions have highest intensities for $3p$ and $3d$ hole states, respectively. The present results of ion charge state distributions agree well with the experimental data.