3.23 Electrical, Optical, and Magnetic Properties of Materials
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1 MIT OpenCourseWare Electrical, Optical, and Magnetic Properties of Materials Fall 2007 For information about citing these materials or our Terms of Use, visit:
2 3.23 Fall 2007 Lecture 25 LAST LECTURE! Last time Fermi s golden rule, joint density of states Perturbing Hamiltonian, selection rules Frequency-dependence of band adsorption in direct or indirect band gap SC. Absorption above the band edge Excitons and exciton absorption Luminescence: low-carrier density; degeneracy. 1
3 Study Fox, Optical Properties of Solids, Chap. 7.5, 5 9.4, 10.4 Exam Monday 17, 9am-12noon 2 questions on electronics, 1 on optics, 1 on magnetic 2
4 Syllabus From particles to waves: the Schrödinger equation The mechanics of quantum mechanics: operators, expectation values Measurements and probabilities. The harmonic oscillator. The hydrogen atom and the periodic table Periodicity and phonons Electrons in a lattice: Bloch s theorem The nearly-free electron model The tight-binding model. Band structures Metals, semiconductors and insulators Intrinsic and extrinsic semiconductors Transport of heat and electricity The p-n diode Syllabus Electromagnetism in dielectric media Classic propagation of waves Optical materials and refractive index Interband absorption Excitons and luminescence Fundamental of ferromagnetic materials Hysteresis loop and driving energies Hard materials and permanent magnets Soft materials: thin films and nanoparticles. Spintronics and GMR Spin valves, spin switches, and spin tunneling 3
5 Photoluminescence spectroscopy Please see: Fig. 5.9 in Fox, Mark. Optical Properties of Solids. Oxford, England: Oxford University Press, Electroluminescence: LED Please see: Fig and 5.13 in Fox, Mark. Optical Properties of Solids. Oxford, England: Oxford University Press,
6 Electroluminescence: diode laser Please see: Fig in Fox, Mark. Optical Properties of Solids. Oxford, England: Oxford University Press, Diode laser: resonant longitudinal modes 5
7 Injection current, threshold gain, slope efficiency Solid state lasers Please see: Fig in Fox, Mark. Optical Properties of Solids. Oxford, England: Oxford University Press,
8 Plasmons Please see: Fig in Fox, Mark. Optical Properties of Solids. Oxford, England: Oxford University Press, Plasmonics Images removed due to copyright restrictions. Please see: The Cover, Nature Materials 2 (April 2003). Please see: 7
9 Polarons Please see: Fig in Fox, Mark. Optical Properties of Solids. Oxford, England: Oxford University Press, Polarons 8
10 Electron Transfer Electron transfer mediated by polar solvent fluctuations. Tunneling can occur when reactant and product are degenerate Please see Fig. 2 in Sit, P. H.-L., et al. "Realistic, Quantitative Descriptions of Electron-tranfer Reactions: Diabatic Free-energy Surfaces from First-principles Molecular Dynamics." arxiv:cond-mat/ v1 [cond-mat.mtrl-sci], ε ε = ε product ε reactant is the energy gap or reaction coordinate R. A. Marcus, J. Chem. Phys. 43, 679 (1965) A. Warshel, J. Chem. Phys. 86, 2218 (1982) D. Chandler, Classical and Quantum Dynamics in Condensed Phase Simulations, pp (1998) Ferrous-ferric self-exchange Please see: Fig. 1 in Sit, P. H.-L., et al. "Realistic, Quantitative Descriptions of Electron-tranfer Reactions: Diabatic Free-energy Surfaces from First-principles Molecular Dynamics." arxiv:cond-mat/ v1 [cond-mat.mtrl-sci], ΔG is the free-energy barrier of the reaction λ (reorganization energy) is the difference in free energy between product and reactant in the optimum atomic configuration for the reactant 9
11 The colour of gems Image from Wikimedia Commons, Inelastic light scattering Please see: Fig and in Fox, Mark. Optical Properties of Solids. Oxford, England: Oxford University Press,
Electronic and Optoelectronic Properties of Semiconductor Structures
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3.23 Electrical, Optical, and Magnetic Properties of Materials
MIT OpenCourseWare http://ocw.mit.edu 3.23 Electrical, Optical, and Magnetic Properties of Materials Fall 2007 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.
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