So far we have said very little about the energies of these quantum
states of an atom. The energy depends mainly on the principal quantum
number, n, and to a lesser extent on the orbital-shape
quantum number, l. Within a given n
state, a higher I value corresponds to a higher energy
for atoms with more than one electron. This I dependence
can be thought of as producing a splitting of the principal quantum
levels. If this splitting were zero, then wave mechanics would reduce
to the old Bohr theory, with the same expression relating energy,
E, to principal quantum number, n. (This is true only
for hydrogen.) If the splitting were small, so the upper states
from one n level did not overlap with the lower states
of the next, then the energy levels would appear as opposite on
the blue background. The sequence of levels of increasing energy
would be very orderly: 1s ; 2s, 2p ; 3s,
3p, 3d ; 4s, 4p, 4d, 4f ;
5s, - - .