This document provides examples of materials science calculations involving properties of unit cells for various metals. It includes calculating the atomic radius of aluminum given its lattice parameter, calculating the lattice parameter of tantalum given its atomic radius and temperature, and calculating the percent change in volume of iron's unit cell when it changes structure from body-centered cubic to face-centered cubic with a change in temperature and atomic radii. It also provides examples of calculating the volume of zinc's hexagonal unit cell given structural parameters, computing the density of copper given its atomic radius and weight, and determining the dimension of chromium's unit cell given its atomic weight, density, and number of atoms per cell.

1. Introduction to Materials Science
and Engineering
Department of IE & M
JSS Academy of Technical Education, Bangalore-560060

2. 1. Aluminium crystallizes in FCC structure with a lattice parameter of 0.405nm.
Calculate the atomic radius of Aluminium.
2. Tantalum at 20°C is BCC and has an atom radius of 0.143nm. Calculate its lattice parameter.
3. Metallic iron changes from BCC to FCC from 910°C and correspondingly the atomic radii vary from
1.258 Å to 1.292 Å. Calculate the % change in volume occupied by atoms in each unit cell
during this structure change
4. Zinc has HCP structure. The height of the unit cell is 0.494nm. The nearest neighboring atom is at
a distance of 0.27nm. Calculate the volume of unit cell of zinc.
Examples

3. 5. FCC copper has an atomic radius of 0.128nm and atomic weight of 63.5 g/mol. Compute its
density.
6. The unit cell of chromium is cubic and contains 2 atoms. Determine the dimension of Cr unit cell.
Given atomic weight of Cr = 52 g/mol
Density of Cr = 7.19 mg/m3