Chapter 6, Problem 81QP

Interpretation Introduction

Interpretation:

The unacceptable set of quantum numbers in an atom is to be determined and an explanation for the same is to be given.

Concept introduction:

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

The principle quantum number designates the orbital size. The angular momentum quantum number tells the shape of the atomic orbital.

The possible range of $(l)$ is from $0$ to $(n-1)$. The magnetic quantum number tells the atomic orbital orientation in space.

The possible range of $m_l$ is $-l\mathrm{.......0.......}+l$.

The electron spin quantum number tells the electron spin in an orbital in space. The possible spins are $+\frac{1}{2}\text{ or }-\frac{1}{2}$.