Recent developments and applications of the DFTB (Density Functional Tight Binding) method Keiji Morokuma, morokuma@emory.edu, Cherry L. Emerson Center for Scientific Computation and Department of Chemistry, Emory University, 1515 Dickey Drive, Atlanta, GA 30322 The DFTB method, developed by groups in Paderborn and Dresden, is a semiempirical two-center approximation to the density functional method, and has been shown to provide reasonable reliability at modest cost. Our group (G. Zheng, H. Witek, S. Irle, and many others) has been involved in further development of the method on three fronts: 1. analytical geometrical second derivative and numerical derivative of gradient with respect to external electric field, 2. determination of parameters for first row transition metals with HCNO atoms, 3. implementation of DFTB in the Gaussian package. I will report on our recent progresses on these developments. We have applied the DFTB as stand alone or with the ONIOM(DFT:DFTB) scheme, sometimes combined with molecular dynamics (MD), to many nanostructure and catalysis applications. Author affiliation also at Fukui Institute for Fundamental Chemistry, Sakyo, Kyoto University, Kyoto, Japan