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Which shapes actually occur, and which features of the broad infrared absorption belong to each, is still argued over.","posed_since":"","precise":"For an excess proton in liquid water at $300\\,\\mathrm{K}$, determine the distribution of its solvation structures (Eigen H9O4+, Zundel H5O2+ and intermediates) including nuclear quantum effects, and assign the broad infrared continuum and the ultrafast 2D-IR signatures to these structures. An answer is a simulation at near-quantum-chemical accuracy with path-integral nuclei that reproduces the linear and 2D-IR spectra and gives the structure distribution.","problem_ref":null,"references":"","settled_by":"Path-integral molecular dynamics on a coupled-cluster-quality potential reproducing linear and 2D-IR spectra of aqueous acids.","status_note":"","title":"Solvation structure and infrared signature of the excess 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