Chapter 8, Problem 8C.11BE

(i)

Interpretation Introduction

Interpretation:

The values of $J$ for ${}^3\text{D}$ term have to be stated.  The number of states that belong to each level has 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 values of $J$ for ${}^4\text{D}$ term have to be stated.  The number of states that belong to each level has to be stated.

Concept introduction:

Refer to part (i).

(iii)

Interpretation Introduction

Interpretation:

The values of $J$ for ${}^2\text{G}$ term have to be stated.  The number of states that belong to each level has to be stated.

Concept introduction:

Refer to part (i).