   Chapter 12.6, Problem 3.1ACP

Chapter
Section
Textbook Problem

How many tin atoms are contained in the tetragonal crystal lattice unit cell of β-tin? How many tin atoms are contained in the cubic crystal lattice unit cell of α-tin?

Interpretation Introduction

Interpretation:

The number of tin atoms in the tetragonal crystal lattice unit cell of β-tin and cubic crystal lattice unit cell of α-tin has to be determined.

Explanation

The cubic crystal lattice structure of white tin has eight atoms in the corner, four atoms in the face, and one atom in the body. Therefore, Number of atoms per unit is given below,

Number of atoms =((8corneratoms×1/8)+(4faceatom×1/2)+(1bodyatoms))Number of atoms =4

The tetragonal structure of white tin has eight atoms in the corner, six atoms in the face, and four atoms in the body

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