Out of the following pairs of electrons, identify the pairs of electrons present in degenerate orbitals :
Out of the following pairs of electrons, identify the pairs of electrons present in degenerate orbitals :

(i) (a) n = 3, l = 2, ml = –2, ms= − ½    (b) n = 3, l = 2, ml = –1, ms= − 1/2

(ii) (a) n = 3, l = 1, ml = 1, ms = + ½    (b) n = 3, l = 2, ml = 1, ms = +1/2

(iii) (a) n = 4, l = 1, ml = 1, ms = + ½   (b) n = 3, l = 2, ml = 1, ms = +1/2

(iv) (a) n = 3, l = 2, ml = +2, ms = − ½ (b) n = 3, l = 2, ml = +2, ms = +1/2

 

 

Correct Answers:

(i) (a) n = 3, l = 2, ml = –2, ms= − ½    (b) n = 3, l = 2, ml = –1, ms= − 1/2

(iv) (a) n = 3, l = 2, ml = +2, ms = − ½ (b) n = 3, l = 2, ml = +2, ms = +1/2

Explanation: The electron energy in a multielectron atom, in contrast to the hydrogen atom, depends not only on its quantum number, but also on its azimuthal quantum number. The same electron shells and the same subshell have the same power and are known as degenerated orbitals.