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Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
ISBN: 9781305079243

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BuyFindarrow_forward

Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
ISBN: 9781305079243
Textbook Problem

A certain metal fluoride crystallizes in such a way that the fluoride ions occupy simple cubic lattice sites, while the metal ions occupy the body centers of half the cubes. What is the formula of the metal fluoride?

Interpretation Introduction

Interpretation: The formula of metal Fluoride to be found.

Concept introduction:

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

Some types of unit cell are simple cube, face centered cube and body centered cube.

Simple cube: Unit cell in which corners are occupies with an atom or ions.

Face center cubic cell: The cubic cell in which contains atom or ion in its center of face.

Explanation

Explanation

To calculate Fluorine atom per unit cell.

8F- ions at corner × 18F- ion per unit cell = 1F- ion per unit cell

Eight Fluorine ions at corners which are shared by eight unit cells. Therefore the unit cell contains one Fluorine ion per unit cell as calculated above.

To found empirical formula of metal Fluoride

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