Journal
JOURNAL OF CHEMICAL THEORY AND COMPUTATION
Volume 12, Issue 8, Pages 4052-4066Publisher
AMER CHEMICAL SOC
DOI: 10.1021/acs.jctc.6b00435
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Funding
- Solar Technologies Go Hybrid initiative of the State of Bavaria
- German Science Foundation DFG [RE1509/21-1]
- Einstein Foundation Berlin
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The size-modified Poisson-Boltzmann (MPB) equation is an efficient implicit solvation model which also captures electrolytic solvent effects. It combines an account of the dielectric solvent response with a mean-field description of solvated finite-sized ions. We present a general solution scheme for the MPB equation based on a fast function space-oriented Newton method and a Green's function preconditioned iterative linear solver. In contrast to popular multigrid solvers, this approach allows us to fully exploit specialized integration grids and optimized integration schemes. We describe a corresponding numerically efficient implementation for the full-potential density-functional theory (DFT) code FHI-aims. We show that together with an additional Stern layer correction the DFT+MPB approach can describe the mean activity coefficient of a KCl aqueous solution over a wide range of concentrations. The high sensitivity of the calculated activity coefficient on the employed ionic parameters thereby suggests to use extensively tabulated experimental activity coefficients of salt solutions for a systematic parametrization protocol.
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