The Dependence of the Proton Conductivity on Concentration for Networks with Different Symmetry of Molecules
T. Masłowskia and K.K. Dudek b
aThe Faculty of Mathematics and Applied Physics, Rzeszów University of Technology, al. Powstańców Warszawy 6, 35-959 Rzeszów, Poland
bMetamaterials Unit, Faculty of Science, University of Malta, Msida MSD 2080, Malta
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The one-dimensional numerical model of the proton conductivity in anhydrous solids is used to obtain the conductivity for different values of proton concentration. The model is constructed as a chain of rods or triangles, depending on the symmetry of molecules, linked by hydrogen bonds. An evolution of such system governed by the Grotthuss mechanism is described by means of the kinetic Monte Carlo method. It is shown that in the case of a system with molecules represented by triangles, a decrease in the conductivity corresponds to a significantly broader range of concentrations than is the case for a system constructed by means of rods. This result may prove to be of a potential importance in the case of possible electronic applications. Moreover, for the discussed systems, a strong dependence on the defect formation energies is demonstrated.

DOI: 10.12693/APhysPolA.132.129
PACS numbers: 66.30.Dn,, 82.20.Wt