Chapter 3, Problem 3H.32E

(a)

Interpretation Introduction

Interpretation:

Density of magnesium oxide has to be determined.

Concept Introduction:

Radius ratio of smaller ion to larger ion in solid state is used to represent relative size of larger ion. This radius ratio is used to predict structure of unit cell from crystal lattice as follows:

$\begin{array}{ccc}\text{Radius ratio}& \text{Crystal structure}& \text{Coordination number}\\ <0.4& \text{zinc-blende structure}& 4\\ 0.4-0.7& \text{rock-salt structure}& 6\\ >0.7& \text{cesium-chloride structure}& 8\end{array}$

Density of unit cell is as follows:

  $d=\frac{ZM}{a^3{N}_{\text{A}}}$

Here,

$Z$ is atoms in unit cell.

$M$ is molar mass.

$a$ is edge length of unit cell.

$N_{\text{A}}$ is Avogadro number.

(b)

Interpretation Introduction

Interpretation:

Density of calcium sulfide has to be determined.

Concept Introduction:

Refer to part (a).