Chapter 8, Problem 118FP

Interpretation Introduction

Interpretation:

Using the selection rule the transitions should be identified in terms of types of orbital involved. Also, the lines which split into the greatest number of lines should be identified.

Concept introduction:

All transitions are not allowed in absorption and atomic spectra. The transition must obey to the selection rules. The selection rules are as follows:

$\begin{array}{l}\Delta n=\text{ any integer}\\ \Delta l=\pm 1\\ \Delta m_l=0,\pm 1\end{array}$

According to the selection rules, the allowed orbital transitions are $s\rightleftarrows p\text{, }p\rightleftarrows d$. $s\rightleftarrows s\text{, }p\rightleftarrows p,s\rightleftarrows d$ are not allowed.

The selection rule for $\Delta m_l$ isapplicable only if the spectrum is measured in the presence of magnetic field.