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At present the width can only be estimated from chemistry to within a factor of a few.","posed_since":"","precise":"For gaseous detonations ($\\mathrm{H_2}$-$\\mathrm{O_2}$-Ar, $\\mathrm{H_2}$-air, hydrocarbon-air) at initial pressure $p_0$ and temperature $T_0$, predict the mean cell width $\\lambda$ from the detailed chemical mechanism. Empirical correlations $\\lambda = A \\Delta_I$, with $\\Delta_I$ the induction length of the one-dimensional steady detonation, need $A$ between about 10 and 50 depending on mixture. An answer predicts $\\lambda$ within 20 percent across mixtures and initial conditions with no fitted $A$.","problem_ref":"ad5938a0aee96c1c52b1e3ab566b6d801fbef9a2b31785693cd7b83167cbddb8","references":"","settled_by":"Three-dimensional resolved simulations with validated chemistry, or a reduced theory, that reproduce measured cell widths for several mixtures and pressures without mixture-specific tuning.","status_note":"","title":"First-principles prediction of detonation cell size from mixture 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