These describe the atomic
orbitals as well as the
properties of the electrons in
those orbitals.
thesenumbers areusedtodescribecompletelythe
movementandtrajectoriesofeachelectronwithinanatom
Principal
Quantum
Number
Azimuthal
Quantum
Number
Magnetic
Quantum
Number
Spin
Quantum
Number
•describestheenergyofan
electronandthemost
probabledistanceofthe
electronfromthenucleus.
•represented with the
symbol n
•the larger the number nis,
the farther the electron is
from the nucleus
•there exists no atoms with
zero or a negative amount
of energy levels/principal
shells.
How to Find the Principal Quantum
Number?
can be determined from the PERIOD
in which the element resides in the
periodic table.
Cl :
Rb :
O :
Fe :
n = 3
n = 5
n = 2
n = 4
•also known as angular
momentum quantum
number, describes the
shape of the subshell in
which the electron is
present
•represented with the
symbol l
There are 4 sub-shells/
orbitals: s, p, d, f
How to Find the Azimuthal Quantum
Number?
identify the orbitals in which the
electrons reside
Azimuthal
Quantum
Number (l )
orbital
designation
0 s-orbitals
1 p-orbitals
2 d-orbitals
3 f-orbitals
Cl :
Rb :
O :
Fe :
l = 1
l = 0
l = 1
l = 2
•It splits the sub-shells (such
as s,p,d,f) into individual
orbitalsand places the
electron in one of them.
•represented with the
symbol �
�
•It defines the orientation in
space of a given orbital of
particular energy (n) and
shape (I).
•It splits the sub-shells (such
as s,p,d,f) into individual
orbitalsand places the
electron in one of them.
•represented with the
symbol �
�
•It defines the orientation in
space of a given orbital of
particular energy (n) and
shape (I).
Cl :
Rb :
O :
La :
Fe :
l = 0
l = 1
l = 2
l = 2
l = 1�
�= 0
�
�= 0
�
�= -1
�
�= -2
�
�= -2
•represents the electron’s
spin and may have only
two possible values, +1/2
and -1/2
•represented with the
symbol �
??????
•When �
??????= +1/2, the electron
is in “spin-up” state
•When �
??????= -1/2, the electron
is in “spin-down”state