Quantum Numbers
❑Refers to the PIN of the given
atom
FOUR QUANTUM NUMBERS
❑Principal quantum number (n)
✓identifies the energy level of the
electron being referred to
✓the possible values of n are the
positive integers from 1 to 7
FOUR QUANTUM NUMBERS
❑Azimuthal quantum number (l)
✓corresponds to the sublevel or
subshell
FOUR QUANTUM NUMBERS
❑Magnetic quantum number ( m)
✓refers to the orbital
✓-l to + l
FOUR QUANTUM NUMBERS
❑Spin quantum number ( s)
✓specifies the relative spin direction
either clockwise or counterclockwise
✓-½ or ½
Example: Determine the set of quantum numbers in:
14
7 N
Electron Configuration: 1s
2
2s
2
2p
3
Last electron configuration
Principal quantum
number
Azimuthal quantum
number
2p
3
n = 2
l = 1
m= 1
s = -1/2
-10 1
Distribute the number
of electrons in orbital
Ends in 1 therefore m= 1
Arrow up s = -1/2
Final answer:
n = 2
l = 1
m = 1
s = -1/2
Sample Problem:
Directions: Given the set of quantum numbers, identify
the atomic number of the following elements:
Hypothetical
Element
n l m s
A 2 1 -1 -1/2
Main energy level
Subshell/ sublevel
Sample Problem:
Directions: Given the set of quantum numbers, identify
the atomic number of the following elements:
Hypothetical
Element
n l m s
B 3 2 1 1/2
Main energy level
Subshell/ sublevel
Sample Problem:
Directions: Given the set of quantum numbers, identify
the atomic number of the following elements:
Hypothetical
Element
n l m s
C 4 0 0 1/2
Main energy level
Subshell/ sublevel
Sample Problem
•Tell whether the following set of quantum numbers are ALLOWED
or NOT ALLOWED
n l m s
5 3 -2 ½
1 0 0 -1/2
3 1 -1 1/2
4 2 0 1