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assignment Level : Advanced
chat_bubble_outline Language : English
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Key Information

credit_card Free access
verified_user Fee-based Certificate
timer 165 hours in total

About the content

This course from MIT’s Department of Materials Science and Engineering introduces the fundamental principles of quantum mechanics, solid state physics, and electricity and magnetism. We use these principles to describe the origins of the electronic, optical, and magnetic properties of materials, and we discuss how these properties can be engineered to suit particular applications, including diodes, optical fibers, LEDs, and solar cells.

In this course, you will find out how the speed of sound is connected to the electronic band gap, what the difference is between a metal and a semiconductor, and how many magnetic domains fit in a nanoparticle. You will explore a wide range of topics in the domains of materials engineering, quantum mechanics, solid state physics that are essential for any engineer or scientist who wants to gain a fuller understanding of the principles underlying modern electronics.

  • Discover the quantum mechanical origins of materials properties
  • Explain the origin of electronic bands in semiconductors
  • Learn the operating principles of solid state devices such as solar cells and LEDs
  • Understand the materials physics that underlies the optical and magnetic behavior of materials

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Prerequisite

Differential and Integral Calculus University-level Electricity & Magnetism Fundamentals of Materials Science and Engineering, or a knowledge structure and bonding in solid state materials

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Syllabus

Part 1: Lattice Vibrations

  • Hamiltonian Mechanics
  • Vibrations in Crystals–Phonons
  • Elastic Bandgap

Part 2: Quantum Mechanics

  • Schrödinger’s Equation
  • 1-Dimensional Problems
  • Measurements—The Ehrenfest Theorem
  • Three Dimensions—Hydrogen Atom

Part 3: Electronic Band Structures

  • Periodic Potential
  • Central Equation
  • Understanding Band Diagrams
  • Engineering conductivity in Semiconductors

Part 4: Solid-State Devices

  • PN Junctions
  • Solar Cells
  • LEDs

Part 5: Optical Properties

  • Wave Equation
  • E/M Waves at Interfaces
  • Photonic Crystals

Part 6: Introduction to Magnetism

  • Classification of Magnets
  • Hysteresis in Ferromagnetic Materials
  • Magnetic Domains
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Instructors

Polina Anikeeva
Class of 1942 Associate Professor in Materials Science and Engineering
Massachusetts Institute of Technology

Jessica Sandland
Lecturer & Digital Learning Scientist
Massachusetts Institute of Technology

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Platform

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Nice

Anonymous
Anonymous,
Published on August 24, 2020
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Anonymous,
August 24, 2020
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Nice