Chapter 3, Problem 3.83P

Interpretation Introduction

(a)

Interpretation:

The number of atoms per FCC unit cell needs to be calculated.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius $r=0.414R.$

Interpretation Introduction

(b)

Interpretation:

The coordinates of smaller atoms with radius r per unit cell is to be determined.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius $r=0.414R.$

Interpretation Introduction

(c)

Interpretation:

The atomic packing fraction for FCC structure is to be calculated.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.