Chapter 12, Problem 12.135MP

Interpretation Introduction

(a)

Interpretation:

The thickness of aluminum foil sheet is to be calculated.

Concept introduction:

The expression to calculate density is as follows:

$\text{Density}=\frac{\text{Mass}}{\text{Volume}}$

The expression to calculate volume of unit cell is as follows:

$\text{Volume}=d^3$

Where,

• $d$ is edge length of unit cell.

Interpretation Introduction

(b)

Interpretation:

The number of unit cell that is equal to thickness of aluminum foil sheet is to be calculated.

Concept introduction:

The relationship between edge length (d) and radius of cubic closest-packing or FCC lattice is as follows:

$2d^2={\left(4r\right)}^2$

Where,

• $d$ is edge length of unit cell.
• $r$ is radius of atom.

Rearrange above equation to calculate the edge length as follows:

$d=\sqrt{\frac{{\left(4r\right)}^2}{2}}$