Lecture 2
Wednesday January 26
EE 332 Semiconductor Devices
Problem Assignment
1.14, 1.17 (see section 1.6.5), 1.19a
Wave Like Behavior of Particles
•
This was predicted before it was observed. In
1924 de Broglie proposed by an analogy to the
photon that particles should exhibit wave like
properties.
•
The wavelength of a particle was given by
what is now called the de Broglie wavelength =
λ
=h/p
where
h
is Planck’s constant and
p
is the
linear momentum (
m
v).
deBroglie Wavelength
•
Three years later Davisson and Germer, and
independently Thomson observed a wave like
diffraction of electron which were shot at a
crystal lattice from an electron gun.
•
They observed that the incident electrons on a
crystal lattice bounced off, or recoiled, at angles
predicted by diffraction theory using the
de Broglie wavelength.
Photons
m)
(
m
24
.
1
c
µ
ν
=
=
=
h
E
h
E
π
ω
νλ
2
v
=
=
=
=
k
k
f
()
m
k
E
k
p
V
m
p
m
E
E
m
p
p
h
kinetic
2
)
0
(
particle
Free
2
v
v
,
2
2
2
2
1
h
h
=
=
=
=
=
=
=
=
Waves
Particles/Electrons
Equation Review
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document()
()
()
x
h
V
E
m
dx
x
d
ψ
π
−
−
=
2
2
2
2
2
4
In three dimensions
()
V
E
m
−
−
=
∇
2
2
2
h
Time Independent Schrödinger
Equation
In one dimension
∫
dxdydz
*
Presence of a particle corresponds to a high
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 CONSTABLE
 Crystallography, diamond lattice, Zincblende Lattice

Click to edit the document details