Chapter 8, Problem 8C.2ST

(a)

Interpretation Introduction

Interpretation:

The terms that arise from the configuration ${\text{f}}^{\text{1}}{\text{d}}^{\text{1}}$ have to be predicted.

Concept introduction:

A term symbol describes the orbital, spin and total angular momentum 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.

  ${}^{2S+1}{L}_J$

(b)

Interpretation Introduction

Interpretation:

The terms that arise from the configuration ${\text{d}}^3$ have to be predicted.

Concept introduction:

A term symbol describes the orbital, spin and total angular momentum 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.

  ${}^{2S+1}{L}_J$