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. 2017 Jan 27;114(7):E1046–E1053. doi: 10.1073/pnas.1620427114

Table 4.

Extrapolated drop solution enthalpies of bulk (zero surface area) materials, their enthalpies of formation from oxides and elements, their estimated standard entropies and estimated entropies of formation, and Gibbs free energies of formation from elements at 298 K

Phases Average composition of the Phase ΔHds,corr,bulk,* kJ/mol ΔH°f-ox*, ΔH(with redox), kJ/mol ΔH°f-ox, ΔH(without redox), (kJ/mol) f(bulk),§ (kJ/mol) So298 (standard entropy), J/mol⋅K ΔG°f(bulk),# kJ/mol
CR2 K0.11·MnO1.94 113.75 ± 3.00 −43.70 ± 3.16 −15.18 ± 3.42 −529.24 ± 0.94 58.32 ± 0.21 −540.31 ± 0.63
NaBi Na0.09·MnO1.82 155.64 ± 3.47 −82.47 ± 3.67 −61.99 ± 4.49 −522.92 ± 0.71 64.13 ± 0.12 −556.00 ± 0.77
KBi K0.21·MnO1.87 122.65 ± 3.58 −71.34 ± 3.78 −52.32 ± 3.42 −536.86 ± 1.14 58.28 ± 0.17 −580.64 ± 0.68
CaBi Ca0.12·MnO1.81 129.80 ± 3.10 −58.22 ± 3.21 −33.86 ± 2.30 −563.26 ± 0.76 58.36 ± 0.11 −546.65 ± 0.80

Cryptomelane: CR2, NaBi, KBi, and CaBi (Bi, birnessite). *Extrapolated drop solution enthalpy for bulk scale samples (no surface hydration and x = 0 surface area). Estimated standard enthalpy of formation for bulk phases were computed from both oxides, including redox enthalpy (ΔH°f-ox*) and without redox energetics (ΔH°f-ox), as well as from the §elements [f(bulk)]. Estimated So298 (standard entropy) for bulk phases. #Estimated bulk-scale reaction Gibbs free energy of formation was computed as G°f(bulk) = ΔH°f(bulk) – TΔS°298 using the estimated standard entropies (S°298).