Chapter 8, Problem 8D.8E

(a)

Interpretation Introduction

Interpretation:

The terms that may arise from the given electronic configuration has to be identified.

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,

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

(b)

Interpretation Introduction

Interpretation:

The number of states are present in lowest energy level has to be identified.

Concept Introduction:

Total angular momentum quantum number: The total angular momentum being the vector sum of the orbital and the spin angular momenta. The possible values of J (a positive number) are found by forming the series

$\text{J = L + S, L + S - 1, }\mathrm{...}\text{, |L - S|}$