Student Solutions Manual for Ball's Physical Chemistry, 2nd
Student Solutions Manual for Ball's Physical Chemistry, 2nd
2nd Edition
ISBN: 9798214169019
Author: David W. Ball
Publisher: Cengage Learning US
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Chapter 21, Problem 21.11E
Interpretation Introduction

Interpretation:

The radius of an atom that can completely fit inside a body-centered unit cell is to be calculated.

Concept introduction:

A unit cell of the crystal is the three-dimensional arrangement of the atoms present in the crystal. The unit cell is the smallest and simplest unit of the crystal which on repetition forms an entire crystal. Unit cell can be a cubic unit cell or hexagonal unit cell. The classification of a unit cell depends on the lattice site occupied by the atoms.

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How many atoms constitute one unit cell of a face-centred cubic crystal?
What does the simple cubic unit cell consist of?
1) Calculate the percentage of empty space in a simple, body-centered, and face-centered cubic unit cell using geometry and algebra without substituting any values for atomic radius (r) or cell length (a). The volume of a sphere is 4πr3 3 Hint: Express "a" as a function of "r." The variable "r" will cancel out when you calculate the volume of "atoms" in the cell to give a number which is the fraction of occupied space. The rest of the space is empty.

Chapter 21 Solutions

Student Solutions Manual for Ball's Physical Chemistry, 2nd

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