Chapter 3, Problem 3.79P

Interpretation Introduction

Interpretation:

The number of interplanar spacing of plane (111) between points $\left(0,0,0\right)\text{ and }\left(1,1,1\right)$ in FCC unit cell needs to be calculated.

Concept introduction:

In a face-centered cubic structure, the distance between two points is $\sqrt{3}{a}_0$.

Interplanner spacing can be calculated as follows:

  $d_{hkl}=\frac{a_0}{\sqrt{\left(h^2+k^2+l^2\right) }}$

Here, h, k and l are dimensions of the plane and $a_0$ is edge length.