The structure of an energy level system for 54 ions of the indium isoelectronic sequence is studied on the basis of the relativistic Dirac-Fock self-consistent field method with the configuration interaction taken into account. A special attention is paid to the determination of the ground states of the ions, which is a complicated problem, because the ground-state configuration and the lowest term change several times along the indium isoelectronic sequence: at the beginning of the sequence, the ground-state configuration is 5s~25p, it becomes 5s~24f and Pr~(10+), the ground-state configuration of the Sm~(13+) ion is 5s~24f, and, finally, it is 4f~3, beginning from the Eu~(14+) ion. On the basis of theoretical calculations, the ground-state ionization potentials are determined for each ion. The influence of interaction of the 5s~25d~2D_(3/2,5/2) configuration with the 5s5p~2 configuration on the ~2D_(3/2,5/2) levels of the latter was also studied.
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