question_answer 104)

  Out of the following pairs of electrons, identify the pairs of electrons present in degenerate orbitals: (a) (i) \[n=3,l=2,{{m}_{l}}=-2,{{m}_{s}}=-\frac{1}{2}\] (ii) \[n=3,l=2,{{m}_{l}}=-1,{{m}_{s}}=-\frac{1}{2}\] (b) (i) \[n=3,l=1,{{m}_{l}}=1,{{m}_{s}}=+\frac{1}{2}\] (ii) \[n=3,\,\,l=2,\,\,{{m}_{l}}=1,\,\,{{m}_{s}}=+\frac{1}{2}\] (c) \[n=4,l=1,{{m}_{l}}=1,{{m}_{s}}=+\frac{1}{2}\] (ii) \[n=3,l=2,{{m}_{l}}=1,{{m}_{s}}=+\frac{1}{2}\] (d) (i) \[n=3,l=2,{{m}_{l}}=+2,{{m}_{s}}=-\frac{1}{2}\] (ii) \[n=3,l=2,{{m}_{l}}=+2,{{m}_{s}}=+\frac{1}{2}\]

Answer:

  (a, d) Degenerate orbitals have same energy. Thus, the orbitals having same values of \[(n+l)\] will be degenerate.