Exam (elaborations) TEST BANK FOR Introduction to Solid State Physics

,INSTRUCTOR’S MANUAL TO ACCOMPANY

CHARLES KITTEL

INTRODUCTION TO SOLID

STATE PHYSICS

EIGHTH EDITION




JOHN WILEY & SONS, INC.

, TABLE OF CONTENTS



Chapter 1 1-1
Chapter 2 2-1
Chapter 3 3-1
Chapter 4 4-1
Chapter 5 5-1
Chapter 6 6-1
Chapter 7 7-1
Chapter 8 8-1
Chapter 9 9-1
Chapter 10 10-1
Chapter 11 11-1
Chapter 12 12-1
Chapter 13 13-1
Chapter 14 14-1
Chapter 15 15-1
Chapter 16 16-1
Chapter 17 17-1
Chapter 18 18-1
Chapter 20 20-1
Chapter 21 21-1
Chapter 22 22-1

, CHAPTER 1

1. The vectors xˆ + yˆ + zˆ and − xˆ − yˆ + zˆ are in the directions of two body diagonals of a
cube. If θ is the angle between them, their scalar product gives cos θ = –1/3, whence
θ = cos −1 1/ 3 = 90° + 19° 28' = 109° 28' .

2. The plane (100) is normal to the x axis. It intercepts the a' axis at 2a' and the c' axis
at 2c' ; therefore the indices referred to the primitive axes are (101). Similarly, the plane
(001) will have indices (011) when referred to primitive axes.

3. The central dot of the four is at distance


cos 60° a
a = a ctn 60° =
cos 30° 3

from each of the other three dots, as projected onto the basal plane. If
the (unprojected) dots are at the center of spheres in contact, then

2 2
⎛ a ⎞ ⎛c⎞
a =⎜
2
⎟ +⎜ ⎟ ,
⎝ 3 ⎠ ⎝2⎠

or

2 2 1 2 c 8
a = c ; = 1.633.
3 4 a 3




1-1