   Chapter 10, Problem 75E

Chapter
Section
Textbook Problem

What is the formula for the compound that crystallizes with a cubic closest packed array of sulfur ions, and that contains zinc ions in 1 8  of the tetrahedral holes and aluminum ions in 1 2  of the octahedral holes?

Interpretation Introduction

Interpretation: Formula of the compound has to be determined.

Concept introduction:

Unit cell: In a crystal, the smallest repeating units of lattice are known as unit cell.

Some examples for unit cell are simple cube, face centered cube and body centered cube.

Tetrahedral hole and octahedral hole: The arrangement of four spheres touching together in which centre of the space is called tetrahedral site or tetrahedral hole. If the space produced by six spheres are called octahedral hole or octahedral site.

Explanation

Explanation

Record the given data

Zinc ions present in 18 of tetrahedral hole and Aluminium ions present in 12 of octahedral hole.

Zinc ion and Aluminium ions presented in tetrahedral hole and octahedral hole are recorded as shown.

To found formula of the compound.

In this structure,

18(8) = Zn2+ions </

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