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Last Lecture: Crystal Structures…
Lattice
Unit Cell
a
1.
Determining Miller Indices for plane:
Find the intercepts
Take reciprocal
Multiply by lowest common denominator
In a cubic lattice, the vector perpendicular to
(h k l) plane is [h k l] direction
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View Full Document EECS 320
Electromagnetics Review
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View Full Document Electromagnetics Review
( )
ρ
ε
=
dx
d
E
() (
)
∫
=
−
2
1
1
2
x
x
dx
x
E
E
Gauss’s Law
ε
– permittivity of material
E
– Electric field
ρ
– charge density
q
=1.6
×
10
19
C, elemental charge
dx
dV
−
=
E
E
q
F
−
=
qdV
dx
q
dW
=
−
=
E
Poisson’s Equation
Potential Energy
qV
E
P
−
=
.
.
dx
dE
q
1
=
E
−
=
2
2
dx
V
d
Recall that electrostatic potential, potential energy,
etc are
relative to an arbitrary point of reference
Electromagnetics Review
Poisson’s Equation
ε
ρ
−
=
2
2
dx
V
d
Given charge density,
•
Integrate once to get electric field
•
Integrate twice to get electric potential (and energy)
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View Full Document Electrostatics Examples
Parallel Plate Capacitor
Sketch charge density, field, and electric potential for the following:
0W
+
Air
V
0
W/4
W/4
V
0
Ground
Ground
Conductor
EECS 320
Quantum Mechanics Review
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View Full Document Waves and Particles: Classical Pictures
What is particle? Examples?
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This note was uploaded on 01/31/2011 for the course EECS 320 taught by Professor Philips during the Spring '06 term at University of Michigan.
 Spring '06
 Philips

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