MSE 3015
Electronic, Optical and Magnetic Properties of
Materials
Elementary Quantum Mechanics (cont.)
The Infinite Potential (Quantum) Well
Three Dimensional Infinite Potential Well
Hydrogen atom
Solution of Schrdinger Equation for Electron
Meeting a R
MSE 3015
Electronic, Optical and Magnetic Properties of
Materials
Quantum Effects
Unexplained Phenomena
Black Body Radiation
Compton Scattering
Photoelectric Effect: shows that light has particle like properties
Wave Properties of Particles
Electron as a
MSE 3015: Quiz #1, Jan 22, 2013
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(1) (25 pt. total) What is the relationship between the average time between electronic
collisions and average electron velocity according to the Drude model (
MSE 3015: Quiz #2, Feb 5, 2013
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(1) (19 pt. total) How did Einstein explain the photoelectric effect? (10 pt.) How does the kinetic energy of a
photo-excited electron depend on: (a) light freq
MSE 3015
Electronic, Optical and Magnetic Properties of
Materials
Applications of Schrdinger Equations
Solution of Schrdinger Equation for Free Electron
Electron Meeting a Potential Barrier
Classical Model
QM Description
Electron Meeting a Square Poten
MSE 3015
Electronic, Optical and Magnetic Properties of
Materials
Wave Particle Duality
Wave equation
Properties of waves
Superimposition of Waves Wave Packet formation
Application to electrons
Albert Einstein born in 1879
At 22 he gained his diploma and
MSE 3015
Electronic, Optical and Magnetic Properties of
Materials
Schrdinger Equations
Derivation from wave equation
Time Dependent
Time Independent
Electron Wave Function Properties
Uncertainty Principle: Applications to Electrons
Erwin Rudolf Josef
Alex
MSE 3015
Electronic, Optical and Magnetic Properties of
Materials
Thermal Conductivity of Metals
Thermal Conductivity
Temperature Measurements by a
Thermocouple
Thermal Conductivity
Thermal Conductivity
Electronic Specific Heat of Metals
Thermal Conductiv
MSE 3015
Electronic, Optical and Magnetic Properties of
Materials
Hall Effect
Lorentz Force
F y = ev B = ev B
x z
Hall Effect
Hall Effect
Hall Effect
Hall Effect
Hall Effect
Hall Effect Devices
MSE 3015
Electronic, Optical and Magnetic Properties of
Materials
Electrical Conductivity of Metals
Electrical Conduction
V = IR
Negative
potential
Positive
potential
A
= R
L
=
1
Ohms Law
Electrical conductivities for a variety of materials at room temp
MSE 3015: Quiz #2, January 28, 2016
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name and GTID #
name and GTID #
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(1) (20 pt. total) How did Einstein explain the photoelectric effect? (10 pt.) How does the kinetic energy of a
photo-excited electron depend on: (a) light
9000 eV
photon source
reflected
photons
fluorescence
photons
1 eV = (1.6 10-19 Coulombs) x 1 Volt = 1.6 10-19 Joules = 1.6 10-19 J
Plank constant, h = 6.626 10-34 J s; speed of light, c = 3 x 108 m/s
filter
You are using a 9000 eV photon source to detect
1 eV = (1.6 10-19 Coulombs) x 1 Volt = 1.6 10-19 Joules = 1.6 10-19 J; Plank constant, h = 6.626 10-34 J s; speed of light,
c = 3 x 108 m/s
MSE 3015
Practice Exam 1
Sept. 30, 2016
1. The absorption coefficients of Ni and S of Cu K1 light are 0.00437 m-1
a
MSE 3015 Practice problems on Dielectric Properties
1. The refractive indices of two covalent materials, A and B, are are 2.2 and 1.5,
respectively.
a) Find the ratio of susceptibilities: A/B.
b) Which of these materials has higher electronic polarizabili
Topics included in the final exam
(*) = equation will be provided
1. Spin-orbit coupling
2. Photoemission (direct measurement of the count and the kinetic energy of
photoelectrons e.g. XPS)
3. X-ray fluorescence
4. Light and electron intensity attenuation
Problem 1. (15 pt.) What is the origin of an electronic polarization? Please draw a schematic to illustrate.
(a) Valence electrons in covalent bonds in the
absence of an applied field.
(b) When an electric field is applied to a
covalent solid, the valence
Test # 4 (Thursday, April 21). Study Guide
Tips:
1.
2.
3.
4.
Review your lecture notes (if you missed a class copy derivations from your classmates)
Review a quiz given in the class
Read Chapters 7-9 of the Textbook
Specific suggestions:
a. Review definit
MSE 3015: Quiz #4, March 3, 2016
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Problem 1 (50 pt.) Schottky Diode: (1.1) Draw the energy band diagrams for a Schottky Diode. Assume a
contact of a metal with an n-type semiconductor (e.g., n
MSE 3015: Quiz #3, Feb 18, 2016
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1. (25 pt. total) Describe the principles of operation of a Scanning Tunneling Microscope (please draw its schematic).
Why an ultra-high vacuum is needed for i
MSE 3015: Quiz #1, Jan 19, 2016
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name and GTID #
name and GTID #
name and GTID #
(1) (20 pt. total) What is the relationship between the average time between electronic
collisions and average electron velocity according to the Drude model (
Review for Test #1
These notes are incomplete
These notes may contain errors
These notes should NOT be used for the preparation
for the Test #1
Drude Model
-e(Za - Z)
(
)
-eZ
-e(Za - Z)
-eZa
-eZa
-eZa
-eZa
-eZa
Nucleus
Nucleus
Ion
Core electrons
Core
V
Uncertainty Principle: Applications to Electrons
Erwin Rudolf Josef
Alexander S h di
Al
d Schrdinger
(born 1887)
at 34 became full Professor
at 39 Published a paper describing
at
Schrodinger equation
at 46 received a Nobel Prize
Deriving Schrdinger Equati
MSE 3015: Quiz #3, Feb 17, 2012
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1. (25 pt. total). Write the expression for the general solution of 1-D wave equation. (7 pt.)
What is the relationship between the wave vector and the wavelen