Chapter 6, Problem 65QP

Interpretation Introduction

Interpretation:

The quantum numbers associated with the orbitals $2p$, $3s$, and $5d$ are to be determined.

Concept introduction:

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

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 orientation of the atomic orbital in space. The possible range of $m_l$ is $-l\text{ to}+l$. Electron spin quantum number tells the electron spin in an orbital. The possible spins are $+\frac{1}{2}\text{ or }-\frac{1}{2}$.