Course MSE 4107 Computational Materials Science Course Outline Density Functional Theory • Introduction • Kohn- Sham Approach • Kohn-Sham Equations • Exchange correlation functional • Solving Kohn-Sham equations • DFT extensions and limitations • DFT exercises with quantum espresso • Quantum espresso • Si2-convergence test • Si2-band • Si7- vacancy • Si7- vacancy diffusion Mesoscopic Methods • Cellular automata • Phase field methods • Conserved and non-conserved order parameters • Governing equations • One dimensional phase field calculation • Free energy of an interface • Local free energy functions • Other applications in materials research Reference Book: Computational Materials Science, An Introduction By June Gunn Lee