Chapter 12.4, Problem 1PE

Interpretation Introduction

Interpretation:

The density of silver in FCC unit cell has to be calculated.

Concept Introduction:

FCC:

In the face-centred cubic (FCC) cell, there will be six faces in a cube and the centre of each face has a lattice point. Apart from the six faces, there will be eight corners. One corner atom is shared by 8 unit cells and a face-centred atom is shared by 2 unit cells.

Density of silver:

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

Relation between a (edge length) and V (volume) in FCC :

$\text{V}\text{=}{\text{a}}^{\text{3}}$

Approach to the problem:

From the relation between volume- V and edge length- a, the volume of the can be determined. Then mass of silver has to be found out which can then be divided by the volume to determine the density.