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The infrared spectrum of hot water observed in a sunspot has been assigned. The high temperature of the sunspot (3200 K) gave rise to a highly congested pure rotational spectrum in the 10-micrometer region that involved energy levels at least halfway to dissociation. Traditional spectroscopy, based on perturbation theory, is inadequate for this problem. Instead, accurate variational solutions of the vibration-rotation Schrö dinger equation were used to make assignments, revealing unexpecteddoi:10.1126/science.277.5324.346 pmid:9219686 fatcat:5ey4b6uoq5cdrbusrocozv5qte