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Basic Research Needs for Geosciences - Energetics Meetings and ...

Basic Research Needs for Geosciences - Energetics Meetings and ...

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GRAND CHALLENGE: COMPUTATIONAL THERMODYNAMICS OF COMPLEX FLUIDS AND SOLIDSFigure 23. Schematic illustration of the numerous chemical species <strong>and</strong> processes that may occur at the mineralwaterinterface. (Manceau et al. 2002; copyright © 2002, the Mineralogical Society of America. All rights reserved.)Courtesy of J. Weare (UCSD), E. Bylaska (PNNL), <strong>and</strong> K. Tsemekhmam (U Washington)Figure 24. (a) TiO 2 hole delocalized around defect; DFT with no exchange. (b) Same as (a) with exchange-correctedDFT.The first two of these problems require innovative improvements in solver methods <strong>and</strong>implementations. For example, the exchange-correlation functionals used in DFT approachesmust be generalized to treat actinides <strong>and</strong> transition metals <strong>and</strong> oxides with highly localized d<strong>and</strong> f electrons in their valence shells. Existing DFT approaches which include electron exchangein a self-consistent way (e.g., exact exchange, Self Interaction Correction (SIC), LDA+U)(Kudin et al. 2002; Kulik et al. 2006) provide at least semi-quantitative accuracy <strong>and</strong> relativelyhigh efficiency. An example of the effect of exchange on electron localization in a mineral<strong>Basic</strong> <strong>Research</strong> <strong>Needs</strong> <strong>for</strong> <strong>Geosciences</strong>: Facilitating 21 st Century Energy Systems 71

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