There presently exist two main-stream solar iron abundances determined
using Fe I lines; a 'high' value of which 7.67 +/- 0.03 (Blackwell et
al. 1984) is typical, and a 'low' value typified by 7.50 +/- 0.07 (Ho
lweger et al. 1991). The 'low' abundance agrees with determinations us
ing Fe II lines, and with the meteoritic value. The two Fe I values di
ffer by 48 per cent. An in-depth discussion of the two results, and po
ssible reasons for their difference, is given in the present paper. It
is concluded that the Fe I lines with excitation energy less than 2.6
eV do indeed show a 'high' abundance when interpreted using the Holwe
ger-Muller empirical model atmosphere. The adoption of less accurate o
scillator strengths and equivalent widths, and less suitable damping c
onstants, all account, in our opinion, for the 'low' value found by Ho
lweger et al. (1991). However, analyses identical to those of Blackwel
l et al. (1984) which use the Kurucz (ATLAS9) and the new MARCS model
atmospheres instead of the Holweger-Muller empirical atmosphere, show
a 'low' abundance in reasonable agreement with the results of Fe II an
alyses and the meteoritic determination. These numerical models, howev
er, ate less successful at reproducing observed limb-darkening than th
e Holweger-Muller empirical model, although the ATLAS9 model reproduce
s the ultraviolet continuous flux better than the Holweger-Muller atmo
sphere. Existing numerical and empirical solar model atmospheres would
therefore appear to be inadequate; they cannot both match the observe
d limb-darkening and emergent flux, and give a consistent iron abundan
ce determination based on Fe I and Fe II lines of all excitations.