Barium titanate is the dielectric material of choice in most multilayer ceramic capacitors (MLCCs) and thus in the production of ≈3 trillion devices every year, with an estimated global market of ≈$8330 million per year. Rare earth dopants are regularly used to reduce leakage currents and improve the MLCC lifetime. Simulations are used to investigate the ability of yttrium, dysprosium, and gadolinium to reduce leakage currents by trapping mobile oxygen defects. All the rare earths investigated trap oxygen vacancies, however, dopant pairs are more effective traps than isolated dopants. The number of trapping sites increases with the ion size of the dopant, suggesting that gadolinium should be more effective than dysprosium, which contradicts experimental data. Additional simulations on diffusion of rare earths through the lattice during sintering show that dysprosium diffuses significantly faster than the other rare earths considered. As a consequence, its greater ability to reduce oxygen migration is a combination of thermodynamics (a strong ability to trap oxygen vacancies) and kinetics (sufficient distribution of the rare earth in the lattice to intercept the migrating defects).the high activation barriers make events too infrequent for reliable statistics in molecular dynamics. Methods exist which compel the simulation to investigate the high-energy configurations involved in such processes. Metadynamics [1] is a powerful example of this approach that has enabled studies of crystallization, [2] phase transformations, [3] protein interactions, [4] and molecular docking processes [5,6] and recently diffusion processes, [7] providing new insight at the atomic level into complex physics and chemistry. We use it here to investigate how rare earth (RE) dopants in barium titanate (BaTiO 3 ) trap mobile oxygen defects to prevent capacitor breakdown and improve the lifetime of multilayer ceramic capacitors (MLCCs).BaTiO 3 is a ferroelectric perovskite used in many electronic devices. It has a high relative permittivity at room temperature so that high capacitances can be achieved with thin layers in capacitor applications. [8] It is the dielectric used in MLCCs and thus in the production of ≈3 trillion devices every year with an estimated global market of ≈$8.4 B in 2016. [9] The failure of these capacitors [10] is usually ascribed to the diffusion of oxygen ions, which produces a leakage current. As a consequence, BaTiO 3 is frequently doped with RE 3+ ions to trap the mobile oxygen defects and so improve its electrical properties for MLCC applications. [11] The incorporation of these ions affects the microstructure of the ceramic, producing core-shell grain structures that improve the temperature dependence of capacitance for MLCCs [12] as well as their electrical stability. Doping with mid-size (0.9-0.94 Å [13] ) RE 3+ ions (particularly Dy 3+ ) [11,[14][15][16] leads to improved lifetimes for MLCCs.Undoped bulk ceramic BaTiO 3 contains a low concentration of intrinsic oxygen vacancies from the Schottky mechanism [1...