----------------------------------------------------------------------- SEMINAR OF THE LABORATORY FOR COMPUTER DESIGN OF MATERIALS Institute for Computational Sciences and Informatics CSI 929 (http://science.gmu.edu/physics) ----------------------------------------------------------------------- First Principles "APW" Method and the Band Structure Computational Package Brahim Akdim Laboratory for Computer Design of Materials Institute for Computational Sciences and Informatics George Mason University Based on the " AUGMENTED PLANE WAVE METHOD" proposed by Slater (1937 ), for calculating the energy-band problem in a periodic solid, I have calculated the density of states (DOS), Fermi Energy, and lattice parameters of the following elements and compounds : Vanadium Carbide (VC), Titanium Carbide (TiC) and TitaniumVanadium (TiV) in the CsCl and NaCl structures. In addition I have done calculations for and Vanadium and Titanium in the fcc and bcc structures. By using graphs of Total energy .vs. unit cell volume and of DOS .vs.Eigenenergies we can predict the material structure and its stability. A great effort was put to reduce the amount of work in doing the band structure calculations, by creating a computational package that has several Fortran codes and script-files to update the input files fed to the APW program and to keep track of the energy convergence for each lattice constant. Other code was designed to do the interpolation of the data to for its graphical analysis. Monday , February 5 1996 5:00 pm Room 206, Science & Tech. I -------------------------------------------------------------------