During studies of the spectrum of hydrogen it was shown that the energy levels were not equally spaced. The energy gap between successive levels got increasingly smaller as the levels got further from the nucleus. The importance of this discussed later.
A study of ionisation energies and the periodic properties of elements suggested that the main energy levels were split into sub levels.
Level 1 was split into 1 sub level.
Level 2 was split into 2 sub levels.
Level 3 was split into 3 sub levels.
Level 4 was split into 4 sub levels.