Explain in brief, the significance of azimuthal quantum number.
Explain in brief, the significance of azimuthal quantum number.
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Azimuthal quantum number (l) :
- Azimuthal quantum number is also known as subsidiary quantum number and is represented by letter l.
- It represents the subshell to which the electron belongs. It also defines the shape of the orbital that is occupied by the electron.
- Its value depends upon the value of principal quantum number ‘n’. It can have only positive values between 0 and (n – 1).
- Atomic orbitals with the same value of ‘n’ but different values of ‘l’ constitute a subshell belonging to the shell for the given ‘n’ The azimuthal quantum number gives the number of subshells in a principal shell. The subshells have l to be 0, 1, 2,3 … which are represented by symbols s, p, d, f, … respectively
| Principal
shell |
Value of n | Permissible value of l | Possible subshell | Number of subshell in shell |
| K | 1 | 0 | s | 1 |
| L | 2 | 0,1 | s,p | 2 |
| M | 3 | 0,1,2 | s,p,d | 3 |
| N | 4 | 0,1,2,3 | s,p,d,f | 4 |
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