Chapter 7, Problem 110RQ

Interpretation Introduction

Interpretation:

The number of electrons in a barium atom with the given value of secondary quantum number and magnetic quantum number are to be determined.

Concept Introduction:

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

Principal quantum number designates the orbital size.

Secondary quantum number tells the shape of an atomic orbital. The possible range of l is from $0$ to $n-1$.

Here, $n$ is the principal quantum number.

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

Here, $l$ is the secondary quantum number.