Chapter 8, Problem 8C.5AE

(i)

Interpretation Introduction

Interpretation:

The permitted values of $j$ for a $\text{d}$ electron have to be stated.

Concept introduction:

A term symbol describes the orbital, spin and total angular momenta of an electronic state.  The symbol $L$ represents the vector sum of orbital angular momentum.  The symbol $S$ represents the vector sum of spin angular momentum.  The symbol $J$ represents the total angular momentum.  Therefore, the term symbol is represented as given below.

  ${}^{2S+1}{L}_J$

(ii)

Interpretation Introduction

Interpretation:

The permitted values of $j$ for an $\text{f}$ electron have to be stated.

Concept introduction:

A term symbol describes the orbital, spin and total angular momenta of an electronic state.  The symbol $L$ represents the vector sum of orbital angular momentum.  The symbol $S$ represents the vector sum of spin angular momentum.  The symbol $J$ represents the total angular momentum.  Therefore, the term symbol is represented as given below.

  ${}^{2S+1}{L}_J$