Chapter 5, Problem 69A

Interpretation Introduction

Interpretation:

The five orbitals related to an atom’s $d$ sublevel needs to be explained.

Concept introduction:

The $d$  sublevel has  $5$ orbitals, so can contain maximum $10$  electrons.

Answer to Problem 69A

The $d$ sublevel the five orbitals are numbered: $-xy,$ $xz,$ $yz,$ $x^2-y^2,$ $z^2$

Explanation of Solution

The $d$  sublevel has  $5$ orbitals, so it can have maximum $10$ electrons. The number of orbitals have different azimuthal quantum numbers. In d sublevel, there are five orbitals designated as $-2,$ $-1,$ $0,$ $1,$ $2$

Conclusion

For a $d$ sublevel the five orbitals are numbered: $-xy,$ $xz,$ $yz,$ $x^2-y^2,$ $z^2$