Chapter 8, Problem 8D.9E

Interpretation Introduction

Interpretation:

The levels arise from ground state electronic configuration of ${\text{Sc}}^{\text{2+}}$ ion has to be identified. Also, the level with lowest energy level has to be given.

Concept-Introduction:

Clebsch–Gordan series:

The plausible values of quantum number L can be calculated using orbital angular momentum quantum numbers of the electrons in outermost shell of the atom through a series called Clebsch–Gordan series. It is given as,

    ${\text{L = l}}_{\text{1}}{\text{ + l}}_{\text{2}}{\text{, l}}_{\text{1}}{\text{ + l}}_{\text{2}}\text{ - 1, }\mathrm{...}{\text{, |l}}_{\text{1}}{\text{ - l}}_{\text{2}}\text{|}$