Chapter 8, Problem 8D.7ST

Interpretation Introduction

Interpretation:

The transition of  ${}^{\text{3}}{\text{F}}_{\text{4}}\underset{}{\overset{}{\to }}{}^{\text{3}}{\text{D}}_{\text{3}}$ is allowed or not has to be predicted.

Concept-Introduction:

Selection rules for many electron atoms:

The rules for allowed and forbidden transitions are given as,

    $\begin{array}{l}\text{ΔS}\text{=}\text{0}\text{ΔL}\text{=}\text{0}\text{Δl}\text{=}\text{±1}\\ \\ \text{ΔJ}\text{=}\text{0,}\text{±1}\text{but}\text{J}\text{=}\text{0}\underset{}{\overset{}{\leftrightarrow }}\text{J=}\text{0}\text{is forbidden}\\ \\ \text{Where,}\\ \\ \text{ΔS}\text{is}\text{change}\text{in}\text{total}\text{spin}\text{angular}\text{momentum}\\ \\ \text{ΔL}\text{is}\text{change}\text{in}\text{total}\text{orbital}\text{angular}\text{momentum}\\ \\ \text{ΔJ}\text{is}\text{total}\text{angular}\text{momentum}\end{array}$