Abstract

Hydrated acceptor-doped barium zirconate is a well-investigated proton conductor. In the analysis of most experimental studies, an ideal defect model is applied to fit the measured hydration data and obtain corresponding enthalpies and entropies. However, the data show a distinct deviation from ideal behaviour and thus defect interactions cannot be neglected. In the present contribution, the thermodynamics of water uptake into the yttrium-doped bulk material are investigated on the microscopic level with regards to ionic defect interactions. Metropolis Monte Carlo simulations using interaction models from first-principles energy calculations are applied to obtain an estimation of the free energy of interaction. The present results indicate that the ionic defect interactions are the primary reason for the non-ideality observed in experiments with varying yttrium fraction, proton fraction, and temperature. The activity coefficient quotients for the mass action law are obtained, which connect the ideal and real model and are of relevance to data evaluation and theoretical calculations.

Highlights

  • Barium-zirconate BaZrO3 (BZO) is a well-investigated highperformance proton conductor with potential application as an electrolyte in protonic ceramic fuel cells (PCFC)

  • Pair interaction models with short-range and long-range cut-off radii are distinguished for the MMC simulations, labelled (S) and (L) in all following figures, respectively

  • There are four stable proton interstitial sites located around each oxygen site that are relevant to the hydration process, yielding a total of 24 unique Hi ÀHi geometries within a 5 Å radius that can be distinguished in density functional theory (DFT) calculations

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Summary

Introduction

Barium-zirconate BaZrO3 (BZO) is a well-investigated highperformance proton conductor with potential application as an electrolyte in protonic ceramic fuel cells (PCFC). The bulk material crystalizes in the ABO3 perovskite structure with space group Pm3%m (No 221). To obtain an ion conductor, BZO is doped with an acceptor on the Zr site, here trivalent yttrium, resulting in mobile oxygen vacancies VO according to reaction (1) given in Kroger–Vink notation.[1]. Y2O3 þ 2BaO B aZ rO!3 2BaÂBa þ 2Y0Zr þ 5OÂO þ VO (1). Hydration of the doped material BaZr1ÀxYxO3À0.5x (BZY). This yields mobile interstitial protons Hi which are bound to the oxygen ions forming OHO defects according to the equilibrium reaction (2).

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