In this work, we investigated the effect of Rb and Ta doping on the ionic conductivity and stability of the garnet Li 7+2x−y (La 3−x Rb x )(Zr 2−y Ta y )O 12 (0 ≤ x ≤ 0.375, 0 ≤ y ≤ 1) superionic conductor using first principles calculations. Our results indicate that doping does not greatly alter the topology of the migration pathway, but instead acts primarily to change the lithium concentration. The structure with the lowest activation energy and highest room temperature conductivity is Li 6.75 La 3 Zr 1.75 Ta 0.25 O 12 (E a = 19 meV, σ 300K = 1 × 10 −2 S cm −1 ). All Ta-doped structures have significantly higher ionic conductivity than the undoped cubic Li 7 La 3 Zr 2 O 12 (c-LLZO, E a = 24 meV, σ 300K = 2 × 10 −3 S cm −1 ). The Rb-doped structure with composition Li 7.25 La 2.875 Rb 0.125 Zr 2 O 12 has a lower activation energy than c-LLZO, but further Rb doping leads to a dramatic decrease in performance. We also examined the effect of changing the lattice parameter at fixed lithium concentration and found that a decrease in the lattice parameter leads to a rapid decline in Li + conductivity, whereas an expanded lattice offers only marginal improvement. This result suggests that doping with larger cations will not provide a significant enhancement in performance. Our results find higher conductivity and lower activation energy than is typically reported in the experimental literature, which suggests that there is room for improving the total conductivity in these promising materials.
Hydraulic conductivity tests were conducted on a geosynthetic clay liner ͑GCL͒ for more than 2.5 years and as many as 686 pore volumes of flow ͑PVF͒ using single-species salt solutions ͑NaCl, KCl, or CaCl 2 ͒ to ͑1͒ evaluate how the long-term hydraulic conductivity ͑K L ͒ is affected by cation concentration and valence and ͑2͒ demonstrate the relevance and importance of termination criteria when measuring hydraulic conductivity of GCLs to salt solutions. Permeation with CaCl 2 solutions resulted in an increase in the hydraulic conductivity of 1 order of magnitude or more. The rate at which these changes occurred depended on concentration, with slower changes ͑years and hundreds of PVF͒ occurring for weaker solutions. In contrast, permeation with 100 mM NaCl or KCl solutions or de-ionized ͑DI͒ water resulted in no appreciable change in hydraulic conductivity, regardless of the duration of permeation or number of pore volumes of flow. Hydraulic conductivities determined in accordance with ASTM D 5084 and D 6766 ͑K 5084 and K 6766 ͒ equaled K L when the permeant solution contained NaCl, KCl, or was a strong ͑ജ50 mM͒ CaCl 2 solution. In contrast, when the permeant liquid was a weak ͑ഛ20 mM͒ CaCl 2 solution, K 6766 and K 5084 were 2-13 times lower than K L. Closer agreement between K 6766 and K L ͑3 ϫ ͒ was obtained for weak CaCl 2 solutions when the electrical conductivity ratio criterion was tightened to ±5%. Hydraulic conductivities obtained after comparable influent and effluent concentrations of the permeant salt ͑±10%͒ were approximately 2ϫ lower than K L for weak CaCl 2 solutions. Hydraulic conductivities equal to K L were obtained from the tests permeated with weak CaCl 2 solutions only when Na was no longer eluted at detectable levels.
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