Explain in brief, the significance of azimuthal quantum number.

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Explain in brief, the significance of azimuthal quantum number.


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Salim Ahmed Kawsar

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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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