The infrared spectrum of hot water observed in a sunspot has been assi
gned. The high temperature of the sunspot, (3200 K) gave rise to a hig
hly congested pure rotational spectrum in the 10-micrometer region tha
t involved energy levels at least halfway to dissociation, Traditional
spectroscopy, based on perturbation theory, is inadequate for this pr
oblem. Instead, accurate variational solutions of the vibration-rotati
on Schrodinger equation were used to make assignments, revealing unexp
ected features, including rotational difference bands and fewer degene
racies than anticipated. These results indicate that a shift away from
perturbation theory to first. principles calculations is necessary in
order to assign spectra of hot polyatomic molecules such as water.