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The Density Functional based Tight Binding (DFTB) method is based on a second-order expansion of the Kohn-Sham total energy in Density Functional Theory (DFT) with respect to charge density fluctuations. The zeroth order approach is equivalent to a common standard non-self-consistent (TB) scheme, while at second order a transparent, parameter-free, and readily calculable expression for generalized Hamiltonian matrix elements can be derived. These are modified by a self-consistent redistribution of Mulliken charges (SCC)
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