Chapter 8, Problem 8.7P

Interpretation Introduction

Interpretation:

The exclusion principle is to be stated and its implication on the number and spins of electrons in an atomic orbital is to be determined.

Concept introduction:

The quantum numbers provide the complete information of the electrons.

There are four quantum numbers,namely,principal quantum number, azimuthal quantum number, magnetic quantum numbers, spin quantum number.

1. The principal quantum number tells about the shell to which the electron belongs.

2. The azimuthal quantum number tells about the shape of the orbitals.

3. The magnetic quantum number tells about the orientation of orbitals in space. The value of m ranges from $l$ to $-l$ including 0. The value of m for the first p orbital is $-l$, the value of m for the second p orbital is 0 and similarly, the value of m for the third p orbital is $+l$.

4. The spin quantum number tells about the spin of the electron and its value can either be $+\frac{\text{1}}{\text{2}}$ or $-\frac{\text{1}}{\text{2}}$.