ECE 230A Final Exam Solution
For all the problems in the exam, use the following properties (unless specified otherwise)
for a hypothetical semiconductor.
= 1.0 = 0
= = 1 1018 3
= = 109 3 1
( ) =
ECE230A
Homework #3
1. The intrinsic carrier concentration at room temperature (300K) for Ge and Si is
2.3x1013 cm-3 and 1.1x1010 cm-3 , respectively. The bandgap energy Eg,Ge =0.67 eV,
Eg,Si = 1.1 eV
Homework #1
1.
a.
The major flat is the only cleavage plane which is normal to the (2 1 1) plane. This is the
( ) plane.
b.
The plane which is normal to both the (2 1 1) plane and the (0 1 1) plane is
ECE230A
Homework #2
1. For the Kronig Penny model, show that
(a) vg =0 at the band edge.
d 2
a 2 cos(ka)
(b)
dk 2 P( cos(a) sin(a) ) a sin(a)
a 2
where
2mE
2m
(c) Find the effective mass assuming P=
Problem 1
(1a)
=
1 1
=
=
,
[cos()] = a sin ()
[ sin() + cos()] =
,
() + () = ()
[ sin() + cos()] =
[ sin() + cos()] = a sin ()
a sin ()
=
sin() + cos()]
[
At the band edge, sin
230A Midterm
This is a take-home exam. Please read the following rules and policies before starting.
Exam due: 11:59 pm, Nov. 9, 2015 (Monday).
You are required to submit the exam electronically in pd
ECE230A Final
This is a take-home exam. Please read the following rules and policies carefully before starting.
Exam due: 11:59 pm, December. 20 (Saturday).
You are required to submit the exam electro