   Chapter 12, Problem 6PS

Chapter
Section
Textbook Problem

Rutile, TiO2, crystallizes in a structure characteristic of many other ionic compounds How many formula units of TiO2 are in the unit cell illustrated here? (The oxide ions marked by an x are wholly within the cell; the others are in the cell faces.) Unit cell for ruffle

Interpretation Introduction

Interpretation:

Number of formula units of TiO2 are in the unit cell has to be determined.

Explanation

From the illustration given,

Figure 1

The O2- ion at six faces is,

Number of O2-atoms per unit=(4faceO2-atom×1/2)Number of O2-atoms per unit=2atoms/unitcell

The O2- ion inside the cell is,

Number of O2-atoms per unit=(4faceO2-atom×1/2)Number of O2-atoms per unit=2atoms/unitcell

Total O2- ions =2+

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