Chapter 6, Problem 93QP

Interpretation Introduction

Interpretation:

The reason for the statement “The probability of finding two electrons with the same four quantum numbers in an atom is zero” is to be explained.

Concept introduction:

The principalquantum number $(n)$, the angular momentum quantum number (azimuthal 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.

Theprincipal 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 orientation of the atomic orbital in space. The possible range of $m_l$ is from $-l\text{ to}+l$.

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