Hydrogen mobility in transition zone silicates

We study the hydrogen mobility in ringwoodite and wadsleyite considering multiple charge-balanced defects, including Mg = 2H, Si = Mg + 2H, and the hydrogarnet defect, Si = 4H, using molecular dynamics simulations based on the density functional theory at transition zone pressures and temperatures between 1500 and 2500~K. We determine the diffusion coefficients and study in detail the mechanism of hydrogen mobility during lengthy simulations. Our results show that temperature, water concentration, and defect mechanism have a significant effect on mobility. We find that the fastest diffusion is for the Mg = 2H defect, while H is more mobile when incorporated as Si = Mg + 2H than as hydrogarnet defects. The computed diffusivities for ringwoodite are larger than for wadsleyite: at 2000~K, diffusivity is 1.13 \texttimes 10-09~m2/s for ringwoodite compared to 0.93 \texttimes 10-09~m2/s for wadsleyite. In general, the hydrogen atoms spend on the order of tens of picoseconds or more trapped in or around the vacancy sites with net migration between sites over timescales of tens of femtoseconds. At 2500~K, some of these hydrogen excursions take place over several angstroms, while at 2000~K, they do not always result in net diffusion. At 1500~K, most of the defects fail to make excursions from their defect sites resulting in diffusion