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Abstract/Syllabus:
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Chen, Gang, 2.57 Nano-to-Macro Transport Processes, Fall 2004. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed 07 Jul, 2010). License: Creative Commons BY-NC-SA
Nano-to-Macro Transport Processes
Fall 2004
With predicted revolutionary applications, nanoscale structures like this carbon "peapod" are the focus of extensive research. (Image courtesy of the U.S. Office of Management and Budget.)
Course Highlights
This course features extensive lecture materials, including a complete set of lecture notes and audio files for streaming and mp3 download.
Course Description
This course provides parallel treatments of photons, electrons, phonons, and molecules as energy carriers, aiming at fundamental understanding and descriptive tools for energy and heat transport processes from nanoscale continuously to macroscale. Topics include the energy levels, the statistical behavior and internal energy, energy transport in the forms of waves and particles, scattering and heat generation processes, Boltzmann equation and derivation of classical laws, deviation from classical laws at nanoscale and their appropriate descriptions, with applications in nano- and microtechnology.
Special Features
Technical Requirements
MATLAB® software is required to run the .m files found on this course site. Media player software, such as QuickTime® Player, RealOne™ Player, or Windows Media® Player, is required to run the .mp3 files found on this course site. RealOne™ Player software is required to run the .rm files found on this course site.
*Some translations represent previous versions of courses.
Syllabus
Textbook
Chen, Gang. Nanoscale Energy Transport and Conversion: A Parallel Treatment of Electrons, Molecules, Phonons, and Photons. New York: Oxford University Press, 2005. ISBN: 9780195159424.
This text will be supplemented by several recommended books, placed on library reserve, as well as papers assigned in the weekly homework.
Homework
Students are required to complete weekly homework, due on the second session of each week. Each homework will include a reading assignment and some problems.
| Activities |
percentages |
| Homework |
50% |
| Two Midterms (15% each) |
30% |
| One Final Project |
20% |
| No Final Exam |
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Calendar
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Course Calendar
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lec #
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TOPICS
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KEY DATES
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1
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Introduction to Nanotechnology and Nanoscale Transport Phenomena; Microscopic Pictures of Heat Carriers
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2
|
Characteristic Time and Length, Simple Kinetic Theory, Characteristic
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3
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Schrödinger Equation
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Homework 1 due
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4
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Quantum Wells, Harmonic Oscillators, Rigid Rotors, and Hydrogen Atoms
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5
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Rigid Rotors, Hydrogen Atom, Electronic Levels in One-dimensional Lattice Chain
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Homework 2 due
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6
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Electronic Energy Levels in Crystals
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7
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Phonon Energy Levels in Crystals, Crystal Structures
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Homework 3 due
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8
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Reciprocal Lattice, X-ray
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9
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Energy Spectrum in Nanostructures, Density of States, Statistical Distributions
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Homework 4 due
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10
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Specific Heat of Molecules, Electrons, Phonons; Blackbody Radiation
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Homework 5 due
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11
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Effects of Nanostructures on Energy Storage, Energy Transfer by Waves, Electron Waves
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12
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Electromagnetic Waves, Reflection of Waves at a Single Interface
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Homework 6 due
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13
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Acoustic Waves, Interference and Tunneling
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14
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Laudauer Formalism
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Homework 7 due
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15
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Midterm 1
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16
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Transport in Carbon Nanotubes (Guest Lecture by Prof. Mildred Dresselhaus, MIT.)
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17
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Transition to Particle Description, Louiville Equation
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18
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Boltzmann Equation, Relaxation Time Approximation
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Homework 8 due
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19
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Fourier Law and Newton's Shear Stress Law
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20
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Ohm's Law and Thermoelectric Effect
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Homework 9 due
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21
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Nanostructured Thermoelectrics (Guest Lecture by Prof. Mildred Dresselhaus, MIT.)
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22
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Take Home Exam 2
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23
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Thermoelectric Effect
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24
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Classical Size Effects, Parallel Direction
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25
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Classical Size Effects, Perpendicular Direction
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26
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Liquid, Brownian Motion, Forces and Potentials, Electrokinetics, Surface Tension
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Homework 10 due
Final project due
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Further Reading:
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Readings
| lec # |
TOPICS |
readings |
| 1 |
Introduction to Nanotechnology and Nanoscale Transport Phenomena; Microscopic Pictures of Heat Carriers |
Chapter 1 |
| 2 |
Characteristic Time and Length, Simple Kinetic Theory, Characteristic |
Chapter 1 |
| 3 |
Schrödinger Equation |
Chapter 2 |
| 4 |
Quantum Wells, Harmonic Oscillators, Rigid Rotors, and Hydrogen Atoms |
Chapter 2 |
| 5 |
Rigid Rotors, Hydrogen Atom, Electronic Levels in One-dimensional Lattice Chain |
Chapter 3 |
| 6 |
Electronic Energy Levels in Crystals |
Chapter 3 |
| 7 |
Phonon Energy Levels in Crystals, Crystal Structures |
Chapter 3 |
| 8 |
Reciprocal Lattice, X-ray |
Chapter 3 |
| 9 |
Energy Spectrum in Nanostructures, Density of States, Statistical Distributions |
Chapters 3 and 4 |
| 10 |
Specific Heat of Molecules, Electrons, Phonons; Blackbody Radiation |
Chapter 4 |
| 11 |
Effects of Nanostructures on Energy Storage, Energy Transfer by Waves, Electron Waves |
Chapter 5 |
| 12 |
Electromagnetic Waves, Reflection of Waves at a Single Interface |
Chapter 5 |
| 13 |
Acoustic Waves, Interference and Tunneling |
Chapter 5 |
| 14 |
Laudauer Formalism |
Chapter 5 |
| 15 |
Midterm 1 |
|
| 16 |
Transport in Carbon Nanotubes (Guest Lecture by Prof. Mildred Dresselhaus, MIT.) |
|
| 17 |
Transition to Particle Description, Louiville Equation |
Chapters 5 and 6 |
| 18 |
Boltzmann Equation, Relaxation Time Approximation |
Chapter 6 |
| 19 |
Fourier Law and Newton's Shear Stress Law |
Chapter 6 |
| 20 |
Ohm's Law and Thermoelectric Effect |
Chapter 6 |
| 21 |
Nanostructured Thermoelectrics (Guest Lecture by Prof. Mildred Dresselhaus, MIT.) |
|
| 22 |
Take Home Exam 2 |
|
| 23 |
Thermoelectric Effect |
Chapter 6 |
| 24 |
Classical Size Effects, Parallel Direction |
Chapter 7 |
| 25 |
Classical Size Effects, Perpendicular Direction |
Chapter 7 |
| 26 |
Liquid, Brownian Motion, Forces and Potentials, Electrokinetics, Surface Tension |
Chapter 9 |
Recommended Books
Microscale Heat Transfer
Tien, C. L., A. Majumdar, and F. Gerner, eds. Microscale Energy Transport. Washington, D.C.: Taylor and Francis, 1997. ISBN: 9781560324591.
Quantum Mechanics
Griffiths, D. J. Introduction to Quantum Mechanics. Englewood Cliffs: Prentice Hall, 1994. ISBN: 9780131244054.
Solid-State Physics
Kittel, C. Introduction to Solid State Physics. 7th ed. New York: Wiley, 1996. ISBN: 9780471111818.
Electromagnetism
Born, M., and E. Wolf. Principle of Optics. 7th ed. Cambridge University Press, 1999. ISBN 9780521642224.
Electronics
Sze, S. M. Physics of Semiconductor Devices. 2nd ed. New York: Wiley, 1981. ISBN: 9780471056614.
Thermal Physics
Kittel C., and H. Kroemer. Thermal Physics. 2nd ed. San Francisco: Freeman and Company, 1980. ISBN 9780716710882.
Kinetic Theory
Vincenti, W. G., and C. H. Kruger, Jr. Introduction to Physical Gas Dynamics. Melbourne, FL: Krieger, 1975. ISBN: 9780882753096.
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