Chapter 6, Problem 70QP

Interpretation Introduction

Interpretation:

A chart of allowable orbitals in the first four principle energy levels of a hydrogen atom is to be represented and the number of orbitals of each type is to be indicated.

Concept introduction:

Principle quantum number (n), angular quantum number (l), magnetic spin quantum number $\left(m_l\right)$, and electron spin quantum number $\left(m_s\right)$ are the four quantum numbers.

Principle quantum number designates the orbital size. Angular momentum quantum number tells the shape of the atomic orbital. The possible range of l is $0$ to $n-1$. Magnetic quantum number tells the atomic orbital orientation in space. The possible range of $m_l$ is $-l\text{ to}+l$. Electron spin quantum number determines the electron spin in an orbital in space. The possible spins are $+\frac{1}{2}\text{ or }-\frac{1}{2}$.