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ELEMENTARY CONCEPTS
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1.
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Electrons as particles (1 lecture) The Drude model and Ohm's law, the Hall effect, electromagnetic waves in solids |
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2.
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Electrons as waves (3 lectures) Wave properties (basics.) Dispersion, group velocity and phase velocity. Quantum mechanics (basics). The uncertainty principle, Schroedinger's equation, the "particle in a box," and tunneling. |
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3.
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Ensembles of electrons (1 lecture) The chemical potential, the Boltzmann factor, Fermi-Dirac and Bose-Einstein distributions, and the Boltzmann limit. |
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4.
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Ensembles of electrons in atoms: hydrogen and the periodic
table (2 lectures) The Bohr radius, central potential problems in QM: the hydrogen atom, quantum numbers n, l, m, and s, electron spin, filling of shells. |
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FUNDAMENTALS OF MATERIALS
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5.
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Bonding types (1 lecture) Covalent, ionic, and metallic bonds; classification of solids. |
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6.
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The free-electron gas: metals (1 lecture) Deficiencies of the Drude model. Introduction of the semiclassical model of free electrons. Free-electron densities of states. |
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7.
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Lattice vibrations: phonons (1 lecture) Phonon dispersion relations and density of states, specific heat, and thermal expansion. |
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8.
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The band theory of solids (3 lectures) The Bloch theorem, the nearly free electron model, reduced and extended representations, Brillouin zones, and effective mass. Classification of solids revisited: metals, semiconductors, and insulators. |
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MATERIALS TYPES AND APPLICATIONS
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9.
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Semiconductors and semiconductor devices (4 lectures)
1) semiconductor carrier statistics, doping, mobilities and scattering, and direct and indirect gap semiconductors. 2) Enabling materials: lattice-matched quaternary alloys and molecular beam epitaxy. 3) p-n-junctions, Schottky barriers, the MOSFET. 4) Optoelectronics: the LED and semiconductor lasers. |
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10.
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Dielectric materials and devices (1 lecture) Polarization mechanisms and breakdown, high- and low-k materials. Piezoelectrics and ferroelectrics, SAW devices, and antireflective coatings. |
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11.
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Magnetic materials and devices (2 lectures) Para-, ferro- and antiferromagnetism, ferromagnetic domains and hysteresis loops, soft and hard ferromagnetic materials. Magnetoelectronics, magnetic nanostructures, and ultrahigh density magnetic recording. |
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12.
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Superconducting materials and devices (2 lectures)
Phenomenology of superconductivity: Meissner effect and critical field, Landau-Ginzburg theory, flux pinning, and type I vs type II materials. Conventional (BCS) and high Tc materials. Applications as filters in wireless communications, superconducting magnets, and Josephson junctions. |