Which of the following sets of quantum numbers is not permissible -

Quantum Number: It is the set of four numbers that give the complete information about:

• Position & Energy by means of orbit number or shell
• Subshell
• Orientation (Orbital)
• Spinning (Direction of Rotation)
   

1. Principle Quantum Number (n): It is a positive integer whose value is 1, 2, 3... and It identified the shell or obit number of an electron.

2. Azimuthal Quantum Number (l): It defined the sub-shell or angular momentum of a revolving electron and defined three-dimensional shapes.

• l = 0, 1, 2, 3, 4 ....
•  = s, p, d, f, g .....
   

For principle Quantum number n, l has value from 0 to (n - 1)

• If n= 1 ⇒ l = 0
• If n= 2 ⇒ l = 0, 1
• If n= 3 ⇒ l = 0, 1, 2
   

Magnetic Quantum (m): It determined the orientation or direction of orbital in space. Its value varies from -l to +l

• If l = 0 ⇒ m = 0
• If l = 1 ⇒ m = -1, 0, +1
• If l = 2 ⇒ m = -2, -1, 0, +1, +2
   

Application:

Option 1: n = 3, l = 1, m = +3

In that case, n = 3 ⇒ l = 0, 1, 2 ⇒ m = -2, -1, 0, +1, +2 (Wrong)

Option 2: n = 3, l = 1, m = +1

In that case, n = 3 ⇒ l = 0, 1, 2 ⇒ m = -2, -1, 0, +1, +2 (Possible)

Option 3: n = 3, l = 0, m = 0

In that case, n = 3 ⇒ l = 0, 1, 2 ⇒ m = -2, -1, 0, +1, +2 (Possible)

Option 4: n = 3, l = 2, m = -2

In that case, n = 3 ⇒ l = 0, 1, 2 ⇒ m = -2, -1, 0, +1, +2 (Possible)