Chapter 7, Problem 47E

Interpretation Introduction

Interpretation:

If the possible values of quantum number $l$ are the integer values from $0$ to $n$ instead of $0$ to $n-1$ then the numbers of orbitals contained by each given level are to be predicted.

Concept introduction: The quantum numbers are used to predict the distribution of electrons in the atom. There are four types of quantum numbers according to Schrodinger’s wave equations. These quantum numbers are,
Principal quantum number $\left(n\right)$ . Angular quantum number $\left(l\right)$ . Magnetic quantum number $\left(m_l\right)$ . Spin quantum number $\left(m_s\right)$ .

These three quantum numbers describes the size, shape and orientation of the orbitals of atom in space respectively. The spin quantum number describes the number of electrons occupied by the orbitals.

To determine: The number of orbitals contained by each given level if the possible values of quantum number $l$ are the integer values from $0$ to $n$ instead of $0$ to $n-1$ .