   Chapter 12, Problem 42GQ

Chapter
Section
Textbook Problem

Tungsten crystallizes in the unit cell shown here. Unit cell for tungsten (a) What type of unit cell is this? (b) How many tungsten atoms occur per unit cell? (c) If the edge of the unit cell is 316.5 pm, what is the radius of a tungsten atom? (Hint: The W atoms touch each other along the diagonal line from one comer of the unit cell to the opposite comer of the unit cell.)

(a)

Interpretation Introduction

Interpretation:

Type of unit cell has to be calculated.

Concept introduction:

Body Centered Cubic Structure:

In simple cubic crystal structure, eight atoms is placed in the corner of the cube and one atom in the center of the cube, therefore it is called as body-centered cubic.

The radius of Body centered Cubic Structure can be calculated by using following formula,

For BCC (body centered cubic)r=3×a4

Explanation

The unit cell for tungsten is body- centered cubic. There are atoms at each...

(b)

Interpretation Introduction

Interpretation:

Number of tungsten atoms occur per unit cell has to be calculated.

Concept introduction:

Body Centered Cubic Structure:

In simple cubic crystal structure, eight atoms is placed in the corner of the cube and one atom in the center of the cube, therefore it is called as body-centered cubic.

The radius of Body centered Cubic Structure can be calculated by using following formula,

For BCC (body centered cubic)r=3×a4

(c)

Interpretation Introduction

Interpretation:

Radius of the tungsten atom has to be calculated.

Concept introduction:

Body Centered Cubic Structure:

In simple cubic crystal structure, eight atoms is placed in the corner of the cube and one atom in the center of the cube, therefore it is called as body-centered cubic.

The radius of Body centered Cubic Structure can be calculated by using following formula,

For BCC (body centered cubic)r=3×a4

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