3.012 | Fall 2005 | Undergraduate

Fundamentals of Materials Science


SES # Key

L = Lecture
Rb = Recitation: Structure and Bonding
Rt = Recitation: Thermodynamics
Lab = 3.014 Lab Week

Instructor for Structure and Bonding: Prof. Nicola Marzari
Instructor for Thermodynamics: Prof. Darrell Irvine

Ses # Structure and Bonding TOPICS Thermodynamics TOPICS Key Dates
Orientation: Research and Careers in Materials Science and Engineering
L1 Classical or Quantum: Electrons as Waves, Wave Mechanics Fundamental Concepts Problem set 1 out
L2 Schrödinger’s Equation and Discrete Energy States of a Confined Electron Fundamental Concepts (cont.)



L3 Free Electrons, Electrons in a Metal, and the Scanning Tunneling Microscope First Law of Thermodynamics

Rb1 Recitation

L4 Curiosity Killed the Cat: General Principles of Quantum Mechanics Temperature, Heat, and Entropy



L5 The Hydrogen Atom Heat Storage and Release in Phase Transitions Problem set 1 due

Problem set 2 out

Rb2 Recitation

L6 The Hydrogen Atom (cont.) Examples of Work Important in Materials Science and Engineering: Polarization, Magnetic, Chemical

Labs 1 3.014 Lab Week 1 Problem set 2 due
L7 Alphabet Soup: The Periodic Table Thermal Properties of Materials; Fundamental Equations Problem set 3 out


L8 The Periodic Table (cont.) Fundamental Equations (cont.); Equilibrium and the Second Law

Rb3 Recitation

L9 The Variational Principle; Application to Hydrogen Atom Free Energy; Applying the Second Law in Laboratory Conditions



Exam 1

Rb4 Recitation

L10 Molecules from Atoms: Energy Minimization, Hybridization of Atomic Orbitals Chemical Potentials and the Gibbs Free Energy

L11 Bonding in Molecules: Hartree and Hartree-Fock Equations, Symmetries, Bond Order Models of the Chemical Potential Problem set 4 out


L12 Polymers Part 1: Diagonalization on a Basis, Huckel Model Chemical Reaction Equilibria

Rb5 Recitation

L13 Quantum Oscillation Electrochemical Equilibria

Labs 2 3.014 Lab Week 2 Problem set 3 due

Problem set 4 due

L14 Point Groups and Bravais Lattices Batteries; Thermodynamic Stability Problem set 5 out


L15 Symmetry Operations Phase Changes and Phase Diagrams of Single-Component Materials

Rb6 Recitation

L16 Structure of Solids Single-Component Phase Diagrams (cont.); Thermodynamics of Solutions

L17 X-ray Diffraction Free Energy of Multi-phase Solutions at Equilibrium



L18 X-rays at Work: Laue Condition, Ewald Construction, Bragg’s Law, Powder Diffraction Binary Phase Diagrams: Miscibility Gaps and Eutectics Problem set 5 due
Rb7 Recitation

Exam 2

Labs 3 3.014 Lab Week 3

L19 From Diffraction to Structure Binary Phase Diagrams (cont.)

L20 Symmetries and Tensors Spinodals and Binodals; Continuous Phase Transitions; Introduction to Statistical Mechanics Problem set 6 out


L21 Non-crystalline Materials Connecting Events at the Atomic/Molecular Level to Macroscopic Thermodynamic Behavior: Two Postulates of Statistical Mechanics; Microscopic Definition of Entropy

L22 Polymers Part 2 Connecting Events at the Atomic/Molecular Level to Macroscopic Thermodynamic Behavior (cont.): The Boltzman Factor and Partition Function; Thermal Behavior of the Einstein Solid

L23 Glasses Lattice Models of Materials; Modeling Polymer Solutions

Rb8 Recitation

L24 Liquid Crystals Flory-Huggins Theory

Labs 4 3.014 Lab Week 4 Problem set 6 due

Recitation: Final Review

Rb9 Recitation: Final Review

Final Exam

Course Info

As Taught In
Fall 2005
Learning Resource Types
Exams with Solutions
Lecture Notes
Problem Sets with Solutions
Written Assignments with Examples