Question

Question 18

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) (i) $n=4,l=1,m_l=1,m_s=+\frac{1}{2}$ (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 1

Answers: (a) and (d).

Degenerate orbitals means the orbitals of the same subshell of the same main shell, i.e., their n and l value.

(a) (i) $3d_{xy}$ (ii) $3d_{yz}$

(b) (i) $3p_x$ (ii) $3d_{xy}$

(c) (i) $4s$ (ii) $3d_{xy}$

(d) (i) $3d_{x^2-y^2}$ (ii) $3d_{x^2-y^2}$

Thus, $3d_{xy}$ and $3d_{yz}$ ; $3d_{x^2-y^2}$ represent pair of degenerate orbitals.