3.012 | Fall 2005 | Undergraduate

Fundamentals of Materials Science

Lecture Notes

Each class lecture includes structure and bonding content and thermodynamics content.

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

For most lectures, slides are presented below in two versions: the original slides, and annotated slides with in-class markup by the instructors.

  Structure and Bonding                           Thermodynamics
Ses # Topics Annotated Slides Topics Annotated Slides
Orientation: Research and Careers in Materials Science and Engineering (PDF - 2.6 MB) (Courtesy of Prof. Caroline Ross. Used with permission.)
L1 Classical or Quantum: Electrons as Waves, Wave Mechanics (PDF 1) (PDF 2) (PDF 1)\n \n(PDF 2) Fundamental Concepts (PDF - 3.2 MB) (PDF - 1.5 MB)
L2 Schrödinger’s Equation and Discrete Energy States of a Confined Electron (PDF) (PDF) Fundamental Concepts (cont.) (PDF) (PDF - 2.6 MB)
L3 Free Electrons, Electrons in a Metal, and the Scanning Tunneling Microscope (PDF) (PDF) First Law of Thermodynamics (PDF) (PDF - 2.2 MB)
L4 Curiosity Killed the Cat: General Principles of Quantum Mechanics (PDF) (PDF - 1.0 MB) Temperature, Heat, and Entropy (PDF - 1.2 MB) (PDF - 1.0 MB)
L5 The Hydrogen Atom (PDF) (PDF) Heat Storage and Release in Phase Transitions (PDF - 1.1 MB) (PDF - 2.1 MB)
L6 The Hydrogen Atom (cont.) (PDF) (PDF) Examples of Work Important in Materials Science and Engineering: Polarization, Magnetic, Chemical (PDF) (PDF)
L7 Alphabet Soup: The Periodic Table (PDF) (PDF) Thermal Properties of Materials; Fundamental Equations (PDF - 3.9 MB) (PDF - 1.9 MB)
L8 The Periodic Table (cont.) (PDF) (PDF) Fundamental Equations (cont.); Equilibrium and the Second Law (PDF) (PDF)
L9 The Variational Principle; Application to Hydrogen Atom (PDF) (PDF) Free Energy; Applying the Second Law in Laboratory Conditions (PDF - 1.7 MB) (PDF)
L10 Molecules from Atoms: Energy Minimization, Hybridization of Atomic Orbitals (PDF) (PDF) Chemical Potentials and the Gibbs Free Energy (PDF - 1.1 MB) (PDF - 2.4 MB)
L11 Bonding in Molecules: Hartree and Hartree-Fock Equations, Symmetries, Bond Order (PDF) (PDF) Models of the Chemical Potential (PDF) (PDF - 1.2 MB)
L12 Polymers Part 1: Diagonalization on a Basis, Huckel Model (PDF)   Chemical Reaction Equilibria (PDF) (PDF)
L13 Quantum Oscillation (PDF)   Electrochemical Equilibria (PDF) (PDF - 3.4 MB)
L14 Point Groups and Bravais Lattices (PDF - 1.8 MB)   Batteries; Thermodynamic Stability (PDF) (PDF - 2.8 MB)
L15 Symmetry Operations (PDF)   Phase Changes and Phase Diagrams of Single-Component Materials (PDF - 1.8 MB) (PDF - 9.0 MB)
L16 Structure of Solids (PDF - 1.8 MB) (PDF - 1.9 MB) Single-Component Phase Diagrams (cont.); Thermodynamics of Solutions (PDF - 2.7 MB) (PDF - 1.9 MB)
L17 X-ray Diffraction (PDF - 1.4 MB) (PDF - 1.5 MB) Free Energy of Multi-phase Solutions at Equilibrium (PDF - 1.1 MB) (PDF - 2.3 MB)
L18 X-rays at Work: Laue Condition, Ewald Construction, Bragg’s Law, Powder Diffraction (PDF - 1.7 MB) (PDF - 2.0 MB) Binary Phase Diagrams: Miscibility Gaps and Eutectics (PDF - 1.9 MB) (PDF - 1.8 MB)
L19 From Diffraction to Structure (PDF - 1.1 MB) (PDF - 1.2 MB) Binary Phase Diagrams (cont.) (PDF) (PDF)
L20 Symmetries and Tensors (PDF) (PDF) Spinodals and Binodals; Continuous Phase Transitions; Introduction to Statistical Mechanics (PDF) (PDF - 2.5 MB)
L21 Non-crystalline Materials (PDF - 2.3 MB) (PDF - 1.9 MB) Connecting Events at the Atomic/Molecular Level to Macroscopic Thermodynamic Behavior: Two Postulates of Statistical Mechanics; Microscopic Definition of Entropy (PDF) (PDF - 1.2 MB)
L22 Polymers Part 2 (PDF) (PDF) Connecting Events at the Atomic/Molecular Level to Macroscopic Thermodynamic Behavior (cont.): The Boltzman Factor and Partition Function; Thermal Behavior of the Einstein Solid (PDF) (PDF - 2.0 MB)
L23 Glasses (PDF - 2.3 MB) (PDF - 1.2 MB) Lattice Models of Materials; Modeling Polymer Solutions (PDF - 4.1 MB) (PDF - 3.4 MB)
L24 Liquid Crystals (PDF - 9.3 MB) (PDF - 9.4 MB) Flory-Huggins Theory (PDF - 1.5 MB) (PDF - 2.6 MB)

Course Info

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