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First, various reports have confirmed that only the diffusion of K+ in the MHCF lattice, and not in the solution, which can be rate determining when the solution concentration is 0.5 M. However, since the electroneutrality condition they have to diffuse together (electron and cation), their combined diffusion coefficient may be limited mostly by one of them. I want to know the diffusion coefficient be limited by which one and whether the transport process is limited by the diffusion of the cation in the solid matrix or of the electron hopping. The second is about the permeability of alkali cations of MHCF in relative electrolyte solution. Generally, the difference in the intensities for various cations may be either due to thermodynamical factor (the energy of the ion transfer between the solution and the matrix) or due to their transport inside the lattice. My question is whether it can be ascribed to one of them or both?

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