Course Meeting Times
Lectures: 3 sessions / week, 1 hour / session
Recitations: 2 sessions / week, 1 hour / session
Labs: 3 weeks, 5 sessions / week, 1 hour / session
Prerequisites
3.012 Fundamentals of Materials Science and Engineering
The first half of 3.012 (structures) is also available in 3 modules on the Open Learning Library.
Description
This course offers a description of how the electronic, optical and magnetic properties of materials originate from their electronic and molecular structure and how these properties can be designed for particular applications, for instance in optical fibers, magnetic data storage, solar cells, transistors and other devices. It also offers experimental exploration of the electronic, optical and magnetic properties of materials, including handson experimentation using spectroscopy, resistivity, impedance and magnetometry measurements, behavior of light in waveguides, and other characterization methods, as well as investigation of structureproperty relationships through practical materials examples.
Objectives and Approach
There is an emphasis in lectures on fundamental physical models in order to understand and predict electrical, optical and magnetic properties using real world examples and applications, as well as EOM property measurements using stateoftheart tools and engineering materials properties during lab sessions.
Course Topics
 Hamiltonian mechanics with application to normal vibrations in crystals
 Phonons: Dispersion relations, normal modes
 Introduction to quantum mechanics: Schrödinger’s equation
 Applications to quantum dots, tunneling devices
 Localized vs. delocalized states: From the free electron to the atom
 Electronic states in crystals: DOS, bandgaps, interpretation of band diagrams
 Fermions, symmetrization and Pauli’s exclusion principle: Electrons in bands and the classification of solids
 “Free electron gas” description of carriers
 The chemical potential: Fermi level, statistics of electron distribution
 Electronic structure of semiconductors: Intrinsic and extrinsic
 Semiconductor devices: pn junctions under illumination and applied voltage
 Maxwell’s equations: Electromagnetic waves in materials
 Indices of refraction: Reflection and transmission
 Periodic optical materials: Photonic bands and bandgaps
 Magnetization in materials: Para, ferro, antiferro and ferrimagnets
 Magnetic domains
Grading
ACTIVITIES  PERCENTAGES 

6 problem sets  20% 
2 quizzes  50% 
3 lab reports  30% 
Calendar
SES #  TOPICS  KEY DATES 

Lec 1 
Introduction and course overview The Hamiltonian approach to classical mechanics: Analysis of a simple oscillator 
PSet 1 out 
Rec 1  
Lec 2  The Hamiltonian approach to classical mechanics: Analysis of vibrations in onedimensional lattice  
Lec 3  The Hamiltonian analysis of lattice vibrations: Phononic bandgap  
Rec 2  
Lec 4  Introduction to quantum mechanical way of thinking 
PSet 1 due PSet 2 out 
Rec 3  
Lec 5  Quantum mechanical systems and measurements: Observables  
Lec 6  Quantum mechanical systems and measurements: Spectral decomposition  
Lec 7  Quantum mechanical measurements: Symmetries, conserved quantities, and the labeling of states  
Rec 4  
Lec 8  Symmetries, conserved quantities, and the labeling of states: Angular momentum  
Lab Week 
PSet 2 due PSet 3 out Lab report 1 due 

Rec 5  Lab recitation  
Lec 9  The hydrogen atom  
Rec 6  
Lec 10  Waves in periodic potentials: Part I  
Lec 11  Waves in periodic potentials: Part II  
Rec 7  
Lec 12  Band gap  
Rec 8  
Lec 13  Band diagrams 
PSet 3 due PSet 4 out 
Lec 14  The free electron gas: Density of states  
Rec 9  Midterm exam review  
Midterm Exam  
Lec 15  FermiDirac distribution  
Rec 10  Lab recitation  
Lec 16  Carriers in intrinsic semiconductors  
Lab Week  Lab report 2 due  
Rec 11  
Lec 17  Engineering conductivity through doping  
Rec 12  
Lec 18  The PN junction (the diode) 
PSet 4 due PSet 5 out 
Lec 19  Light emitting diodes  
Rec 13  
Lec 20  Light emitting diodes (cont.)  
Lec 21  Reminder / introduction to wave optics  
Rec 14  
Lec 22  Electromagnetic waves  
Rec 15  Lab recitation  
Lec 23  Layered materials and photonic band diagrams 
PSet 5 due PSet 6 out 
Lab Week  Lab report 3 due  
Rec 16  
Lec 24  Origins of magnetization  
Rec 17  
Lec 25  Hysteresis in ferromagnetic materials  PSet 6 due 
Lec 26  Magnetic domains  
Rec 18  
Lec 27  Course summary and review for final exam  
Rec 19  Final exam review  
Final Exam 