Chapter 1, Problem 21P

Interpretation Introduction

Interpretation: The energy of the 3s atomic orbital of an H atom is to be calculated and the energy of the hydrogen 3p atomic orbital the same as or different from that of the 3s orbital is to be explained.

Concept Introduction:

Atomic orbitals are regions of space around the nucleus of an atom where an electron is likely to be found and it describes the wave like behavior of one electron or pair of electron in an atom.

The most commonly filled orbitals are s, p, d, and f. Each such orbital can filled by a maximum of two electrons, each with opposite spin.

Each atomic orbital may be uniquely labelled by a set of four quantum numbers: n, l, ${\text{m}}_{\text{l}}$ and ${\text{m}}_{\text{s}}$. Here n is the principal quantum number, l is orbital quantum number, ${\text{m}}_{\text{l}}$ is the magnetic quantum number and ${\text{m}}_{\text{s}}$ is spin quantum number. The values of the four quantum numbers are unique for each orbital.