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Question
Explain in brief, the significance of the azimuthal quantum number.
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Solution
- Azimuthal quantum number is also known as the subsidiary quantum number and is represented by the 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 subshells 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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