Each orbital can contain a maximum of
two electrons. Wolfgang Pauli states that if two electrons occupy the
same orbital they must have opposite spin. This is known as the Pauli
exclusion principle.
Recall, that from the Bohr model (in section
3.3.1), the maximum number of electrons that can occupy a principal energy
level n is
A detail look at principal energy level 3, n = 3
Bohr model predicts that a maximum of 2(3)2 = 18 electrons
can reside in the 3rd principal energy level.
Quantum Mechanical Model of the atom predicts that in principal energy
level 3, there are 3
sublevels: 3s, 3p, and 3d.
In any s
sublevel, there is 1 atomic orbital. Therefore,
there is 1 atomic orbital in the 3s sublevel.
In any p
sublevel, there are 3 atomic orbitals. Therefore,
there are 3 atomic orbitals in the 3p sublevel.
In any d
sublevel, there are and 5 atomic orbitals.
Therefore, there are 5 atomic orbitals in the 3d sublevel.
1 atomic orbital in 3s sublevel x
2 electrons/orbital =
2 electrons can reside in the 3s sublevel
3 atomic orbitals in 3p sublevel
x 2 electrons/orbital =
6 electrons can reside in the 3p sublevel
5 atomic orbitals in 5d sublevel
x 2 electrons/orbital =
10 electrons can reside in the 3d sublevel
Add up the number of electrons in step 6 to get a total of 2 + 6 + 10 =
18 electrons (as predicted in step 1). The Quantum Mechanical Model
allows us to see how the 18 electrons are distributed in each sublevel within
the 3rd principal energy level.
Click to see a summary
of information about the distribution of electrons in each principal energy
level.
Section
4.8 Arrangement
of the
Electronsin
Sublevels..p91 Section
4.9 Orbitals..p97