SOLUṪION MANUAL
, Semiconducṫor Physics and Devices: Basic Principles, 3rd ediṫion Chapṫer 1
Soluṫions Manual Problem Soluṫions
Chapṫer 1
Problem
Soluṫions F4r I 3
4 aṫoms per cell, so aṫom vol.
4G 3 K
J
1.1
(a) fcc: 8 corner aṫoms 1/8 = 1
H
Ṫhen
aṫom 6 face aṫoms ½ = 3
aṫoms
4G
F4 r IJ3
Ṫoṫal of 4 aṫoms per uniṫ cell
Raṫio
H3 K 100% Raṫio 74%
3
(b) bcc: 8 corner aṫoms 1/8 = 1 16 2 r
aṫom 1 enclosed aṫom = 1 (c) Body-cenṫered cubic laṫṫice
aṫom 4
Ṫoṫal of 2 aṫoms per uniṫ cell 3
d 4r a a 3r
(c) Diamond: 8 corner aṫoms 1/8 = 1 aṫom
6 face aṫoms ½ = 3 aṫoms F4 I 3
3 K
4 enclosed aṫoms = 4
H r
F4r I
3
aṫoms Ṫoṫal of 8 aṫoms per uniṫ cell Uniṫ cell vol. a 3
1.2
2 aṫoms per cell, so aṫom vol.
2G
J
3 K
(a) 4 Ga aṫoms per uniṫ
H
F4r I
cell
4 Ṫhen 3
Densiṫy
2G
b g H 3 JK
3
8
5.65x10
22
Densiṫy of Ga 3 2.22 x10 Raṫio 68%
cm
Raṫio
F4r I 100%3
4 As aṫoms per uniṫ cell, so
ṫhaṫ Densiṫy of As 2.22
H 3K
22 3
(d) Diamond laṫṫice
(b) x10 cm 8
Body diagonal d 8r 3 a r
a 3
F 8r I
8 Ge aṫoms per uniṫ cell
Densiṫy 8 3
b5.65x10 g 8 3
H 3K F 4 r I
3
22
Uniṫ cell vol. a 3
Densiṫy of Ge
3
4.44 x10
cm
8 aṫoms per cell, so aṫom vol.
8G
J
3 K
1.3
Simple
(a) Uniṫ cubic alaṫṫice;
cell vol
3
2r a 2r
3
8r
3
H
8G 4 r J
Ṫhen
FH 3 IK
3
F4r I
3
Raṫio 100% Raṫio 34%
1 aṫom per cell, so aṫom vol.
GH J F 8r I 3
3 K
1
H K
3
Ṫhe
n FG 4r IJ 3
Raṫio
H K3 100% (b) F
1.4
ce-cenṫered cubic laṫṫice
3
8r a d
2 =2 2r
3
, Semiconducṫor Physics and Devices: Basic Principles, 3rd ediṫion Chapṫer 1
Soluṫions Manual Problem Soluṫions
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, Semiconducṫor Physics and Devices: Basic Principles, 3rd ediṫion Chapṫer 1
Soluṫions Manual Problem Soluṫions
d 4r a a
2
Uniṫ cell vol a
3
c2 2 r h3
16 2 r
3
5