We focus on the ferric end-member of phase H: 𝜀-FeOOH using density functional theory at the PBEsol+U level. At 300 K, we find that 𝜀-FeOOH undergoes a hydrogen bond symmetrization at 37 GPa and a sharp high-spin to low-spin transition at 45 GPa. We find excellent agreement with experimental measurements of equation of state, lattice parameters, atomic positions, vibrational frequencies, and optical properties as related to the band gap, which we find to be finite and small, decreasing with pressure. The hydrogen bond symmetrization transition is neither first-, nor second-order, with no discontinuity in volume or any of the elastic moduli. Computed IR and Raman frequencies and intensities show that vibrational spectroscopy may provide the best opportunity for locating the hydrogen bond symmetrization transition experimentally. We find that 𝜀-FeOOH is highly anisotropic in both longitudinal-and shear-wave velocities at all pressures, with the shear wave velocity varying with propagation and polarization direction by as much as 24% at zero pressure and 43% at 46 GPa. The shear and bulk elastic moduli increase by 18% across the high-spin to low-spin transition.Always consult and cite the final, published document. See http:/www.minsocam.org or GeoscienceWorldWater is an important component in the mantle, which even in small concentrations can have a large effect on properties such as the melting temperature and viscosity, and thus on thermal evolution. The amount of water stored in the largest part of the mantle, the lower mantle, is still uncertain. This is partly due to the relative inaccessibility of this region, for example few physical samples from the lower mantle are known, in contrast to the increasing number of diamond inclusions and other samples from the transition zone (Pearson et al. 2014;Tschauner et al. 2018). Our uncertainty about the water content in the lower mantle is also due to a comparative lack of understanding of hydrogen bonding at high pressure: in what phases is water crystallographically stored, and what is the effect of water on physical properties at high pressure?Water storage may be fundamentally different in the lower mantle than in the transition zone. In the transition zone, copious amounts of water may be stored in nominally anhydrous minerals, including wadsleyite and ringwoodite, which have water storage capacities exceeding 1 wt. % (Hirschmann 2006). In the lower mantle, however, the water storage capacity of the major phases (bridgmanite, ferropericalse, davemaoite), while still uncertain, appears not to exceed 1200 ppm (Litasov and Ohtani 2007;Fu et al. 2019;Chen et al. 2020;Liu et al. 2021). If the lower mantle has a water concentration much higher than this, the water must be stored in hydrous phases, i.e. phases in which water is a stoichiometric component.Phase H is the hydrous phase that is found to be stable in mantle-like whole rock compositions with excess H 2 O (Walter et al. 2015) over most of the lower mantle pressure regime (55-125 GPa). These experiments were l...