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This course focuses on the fundamentals of structure, energetics, and bonding that underpin materials science.

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2

English

English [CC]

FREE

Description

It is the introductory lecture class for sophomore students in Materials Science and Engineering, taken with 3.014 and 3.016 to create a unified introduction to the subject. Topics include: an introduction to thermodynamic functions and laws governing equilibrium properties, relating macroscopic behavior to atomistic and molecular models of materials; the role of electronic bonding in determining the energy, structure, and stability of materials; quantum mechanical descriptions of interacting electrons and atoms; materials phenomena, such as heat capacities, phase transformations, and multiphase equilibria to chemical reactions and magnetism; symmetry properties of molecules and solids; structure of complex, disordered, and amorphous materials; tensors and constraints on physical properties imposed by symmetry; and determination of structure through diffraction. Real-world applications include engineered alloys, electronic and magnetic materials, ionic and network solids, polymers, and biomaterials.

This course is a core subject in MIT’s undergraduate Energy Studies Minor. This Institute-wide program complements the deep expertise obtained in any major with a broad understanding of the interlinked realms of science, technology, and social sciences as they relate to energy and associated environmental challenges.

Course content

  • Classical or Quantum: Electrons as Waves, Wave Mechanics Unlimited
  • Schrödinger’s Equation and Discrete Energy States of a Confined Electron Unlimited
  • Free Electrons, Electrons in a Metal, and the Scanning Tunneling Microscope Unlimited
  • Curiosity Killed the Cat: General Principles of Quantum Mechanics Unlimited
  • The Hydrogen Atom Unlimited
  • The Hydrogen Atom (cont.) Unlimited
  • Alphabet Soup: The Periodic Table Unlimited
  • The Periodic Table (cont.) Unlimited
  • The Variational Principle; Application to Hydrogen Atom Unlimited
  • Molecules from Atoms: Energy Minimization, Hybridization of Atomic Orbitals Unlimited
  • Bonding in Molecules: Hartree and Hartree-Fock Equations, Symmetries, Bond Order Unlimited
  • Polymers Part 1: Diagonalization on a Basis, Huckel Model Unlimited
  • Quantum Oscillation Unlimited
  • Point Groups and Bravais Lattices Unlimited
  • Symmetry Operations Unlimited
  • Structure of Solids Unlimited
  • X-ray Diffraction Unlimited
  • X-rays at Work: Laue Condition, Ewald Construction, Bragg’s Law, Powder Diffraction Unlimited
  • From Diffraction to Structure Unlimited
  • Symmetries and Tensors Unlimited
  • Non-crystalline Materials Unlimited
  • Polymers Part 2 Unlimited
  • Glasses Unlimited
  • Liquid Crystals Unlimited

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Instructor

Massachusetts Institute of Technology
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