Band-tail states are routinely invoked in models of n-Si:H, including defec
t pool models and models of light-induced defects. These models describe th
e band-tail states as being localized on a single stretched bond. However,
to our knowledge, there is no theoretical or experimental work to justify t
hese assumptions. In this work we use ab initio calculations to support ear
lier tight-binding calculations that show that the band-tail states are ver
y delocalized-involving large numbers of atoms as the energy is varied from
midgap into the tails. Our work also shows that valence-band-tail states a
re statistically associated with short bonds (not long bonds), and conducti
on-band states with long bonds. We have slightly modified a 512-atom model
of a-Si due to Djordjevic, Thorpe, and Wooten [Phys. Rev. B 52, 5688 (1995)
] to produce a large model of a-Si:H with realistic band tails, radial dist
ribution function, and vibrational spectrum. Above all, we created and used
a model with no spectral or geometrical defects. [S0163-1829(98)03148-8].