Chapter 6.6, Problem 1CP

Interpretation Introduction

Interpretation:

The legitimate set of three quantum numbers $\left(n,l,m_l\right)$ is to be identified.

Concept introduction:

The principal quantum number $\left(n\right)$ defines the shell and has integral values 1, 2, 3….

The angular momentum quantum number $\left(l\right)$ defines the subshell and hasa value from 0 to $n-1$.

The orientation of an orbital in space is described by the magnetic quantum number, which is represented by the symbol $m_l$.

For a certain value of l, there are $\left(2l+1\right)$ allowed orbitals, each having a different value of the magnetic quantum number.

The possible values of $m_l$ is calculated as follows:

$-l,\mathrm{...},0,\mathrm{....},+l$

Here, $l$ is the angular momentum quantum number.