Directory of Classes

NOTE: Course information changes frequently, including Methods of Instruction. Please revisit these pages periodically for the most recent and up-to-date course information.

Fall 2020 Materials Science and Engineering E4200 section 001

Call Number 12488
Day & Time
TR 2:40pm-3:55pm
417 International Affairs Building
Points 3
Grading Mode Standard
Approvals Required Department
Instructor Chris A Marianetti
Method of Instruction In-Person
Course Description Prerequisites: (MSAE E4100) or instructors permission. 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, section 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, ferroelectricity. 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 19 students (56 max) as of 7:34PM Wednesday, February 24, 2021
Subject Materials Science and Engineering
Number E4200
Section 001
Division School of Engineering and Applied Science: Graduate
Campus Morningside
Section key 20203MSAE4200E001

Home      About This Directory      Online Bulletins      ColumbiaWeb      SSOL
SIS update 02/24/21 19:34    web update 02/24/21 21:34