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too inaccurate for modern needs. Although many alternatives for electronic
excitations, such as GW, are becoming computationally feasible for interesting
systems, we believe DFT, and TDDFT, should dominate for a few decades yet.
ACKNOWLEDGMENTS
We thank Michael Vitarelli for his early work on the review and Meta van Faassen, Max
Koentopp, and Roberto Car for providing figures. K.B. gratefully acknowledges support of the
U.S. Department of Energy, under grant number DE-FG02-01ER45928, and the NSF, under grant
CHE-0355405. This work was supported, in part, by the Center for Functional Nanostructures
(CFN) of the Deutsche Forschungsgemeinschaft (DFG) within project C3.9, the EXC!TiNG
Research and Training Network of the European Union and the NANOQUANTA Network of
Excellence.
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