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Fall 2022 Materials Science and Engineering E4200 section 001
THEORY CRYSTALLIN MAT: PHONONS
THEORY CRYSTALLIN MAT: PH

Call Number 13733
Day & Time
Location
TR 2:40pm-3:55pm
To be announced
Points 3
Grading Mode Standard
Approvals Required None
Instructor Chris A Marianetti
Type LECTURE
Method of Instruction In-Person
Course Description Phenomenological theoretical understanding of vibrational behavior of crystalline materials; introducing all key concepts at classical level before quantizing the Hamiltonian. Basic notions of Group Theory introduced and exploited: irreducible representations, Great Orthogonality Theorem, character tables, degeneration, product groups, selection rules, etc. Both translational and point symmetry employed to block diagonalize the Hamiltonian and compute observables related to vibrations/phonons. Topics include band structures, density of states, band gap formation, nonlinear (anharmonic) phenomena, elasticity, thermal conductivity, heat capacity, optical properties, ferroelectricty. Illustrated using both minimal model Hamiltonians in addition to accurate Hamiltonians for real materials (e.g., Graphene)
Web Site Vergil
Department Applied Physics and Applied Mathematics
Enrollment 5 students (60 max) as of 5:42PM Wednesday, June 29, 2022
Subject Materials Science and Engineering
Number E4200
Section 001
Division School of Engineering and Applied Science: Graduate
Open To Barnard College, Columbia College, Engineering:Undergraduate, Engineering:Graduate, GSAS, General Studies
Campus Morningside
Section key 20223MSAE4200E001

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SIS update 06/29/22 17:42    web update 06/29/22 17:59