The Sonora Substellar Atmosphere Models. IV. Elf Owl: Atmospheric Mixing and Chemical Disequilibrium with Varying Metallicity and C/O Ratios

<jats:title>Abstract</jats:title> <jats:p>Disequilibrium chemistry due to vertical mixing in the atmospheres of many brown dwarfs and giant exoplanets is well established. Atmosphere models for these objects typically parameterize mixing with the highly uncertain <jats:italic>K</jats:italic> <jats:sub> <jats:italic>zz</jats:italic> </jats:sub> diffusion parameter. The role of mixing in altering the abundances of C-N-O-bearing molecules has mostly been explored for atmospheres with a solar composition. However, atmospheric metallicity and the C/O ratio also impact atmospheric chemistry. Therefore, we present the <jats:monospace>Sonora Elf Owl</jats:monospace> grid of self-consistent cloud-free 1D radiative-convective equilibrium model atmospheres for JWST observations, which includes a variation in <jats:italic>K</jats:italic> <jats:sub> <jats:italic>zz</jats:italic> </jats:sub> across several orders of magnitude and also encompasses subsolar to supersolar metallicities and C/O ratios. We find that the impact of <jats:italic>K</jats:italic> <jats:sub> <jats:italic>zz</jats:italic> </jats:sub> on the <jats:italic>T</jats:italic>(<jats:italic>P</jats:italic>) profile and spectra is a strong function of both <jats:italic>T</jats:italic> <jats:sub>eff</jats:sub> and metallicity. For metal-poor objects, <jats:italic>K</jats:italic> <jats:sub> <jats:italic>zz</jats:italic> </jats:sub> has large impacts on the atmosphere at significantly higher <jats:italic>T</jats:italic> <jats:sub>eff</jats:sub> than in metal-rich atmospheres, where the impact of <jats:italic>K</jats:italic> <jats:sub> <jats:italic>zz</jats:italic> </jats:sub> is seen to occur at lower <jats:italic>T</jats:italic> <jats:sub>eff</jats:sub>. We identify significant spectral degeneracies between varying <jats:italic>K</jats:italic> <jats:sub> <jats:italic>zz</jats:italic> </jats:sub> and metallicity in multiple wavelength windows, in particular, at 3–5 <jats:italic>μ</jats:italic>m. We use the <jats:monospace>Sonora Elf Owl</jats:monospace> atmospheric grid to fit the observed spectra of a sample of nine early to late T-type objects from <jats:italic>T</jats:italic> <jats:sub>eff</jats:sub> = 550–1150 K. We find evidence for very inefficient vertical mixing in these objects, with inferred <jats:italic>K</jats:italic> <jats:sub> <jats:italic>zz</jats:italic> </jats:sub> values lying in the range between ∼10<jats:sup>1</jats:sup> and 10<jats:sup>4</jats:sup> cm<jats:sup>2</jats:sup> s<jats:sup>−1</jats:sup>. Using self-consistent models, we find that this slow vertical mixing is due to the observations, which probe mixing in the deep detached radiative zone in these atmospheres.</jats:p>