Chapter 12.1, Problem 1RC

Interpretation Introduction

Interpretation:

Type of the unit cell should be identified.

Concept introduction:

The face-centered cubic system:

It has lattice points on the faces of the cube, that each gives exactly one half contribution, in addition to the corner lattice points, giving a total of 4 lattice points per unit cell.

The Body-centered cubic system:

The body-centered cubic system has one lattice point in the center of the unit cell in addition to the eight corner points. It has a net total of 2 lattice points per unit cell.

The primitive cubic system:

The primitive cubic system consists of one lattice point on each corner of the cube. Each atom at a lattice point is then shared equally between eight adjacent cubes, and the unit cell therefore contains in total one atom.