The quantum numbers are used to show the arrangement of electrons in orbitals in an atom.
There are four sets of quantum numbers;
- Principal quantum number (n)
- Orbital quantum number (l)
- Magnetic quantum number (ml)
- Spin quantum number (ms)
Now we are going to assign orbitals to each arrangement of quantum numbers as shown below;
n l ml orbital
1 0 0 1s
3 -3 2 not allowed
3 2 -2 3d
2 0 -1 not allowed
0 0 0 not allowed
4 2 1 4d
5 3 0 5f
We can see that s p d f corresponds to l = 0 1 2 3.
Also note that;
When l = 0 then m= 0
When l= 1, m = -1, 0, 1
When l= 2 m = -2, -1, 0, 1, 2
When l =3 m = -3, -2, -1, 0, 1, 2, 3
Note that n must take positive integer values greater than zero.
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