Thousands of unknown water vapour weak lines in the spectral region between
13200 and 22700 cm(-1) are deduced from extrapolations of experimental res
ults. These lines are then included in the HITRAN database and used in line
-by-line calculations of atmospheric opacity with standard atmospheric prof
iles. The weak lines predicted by a theoretical model are also used in the
line-by-line model to estimate their contribution to the absorption of sola
r radiation. The additional absorption of solar radiation is of order 1.5 t
o 2.5 W/m(2) at 45 mm precipitable water, about 8.5% to 14% of the absorpti
on due to HITRAN lines in the spectral region. The effect is also compared
with that of a continuum model.