The electronic and geometrical structures of the ground and some excited st
ates of the FeOn and FeOn- clusters (n = 1-4) have been calculated using th
e density-functional theory with generalized gradient approximation for the
exchange-correlation potential. It is found that the multiplicity of the g
round states decreases with increasing n, and the ground states of FeO- and
FeO2- are quartets whereas those of FeO3- and FeO4- are doublets. All of t
hese anions possess isomers with different spatial or spin symmetries that
are close in energy to their ground states. For example, FeO4- has at least
five stationary states that are stable against electron detachment and fra
gmentation. Our calculated adiabatic electron affinities (A(ad)) Of FeO, Fe
O2, and FeO3 are within 0.2 eV of the experiment. FeO4 was found to be a pa
rticularly interesting cluster. Although its neutral precursor possesses a
closed electronic shell structure, it has an A(ad) of 3.8 eV, which is high
er than the electronic affinity of halogen atoms. The experimental estimate
of 3.3 eV for the A(ad) of FeO4 is shown to originate from the detachment
of an electron from one of the higher-energy isomers of the FeO4- cluster.
The energetically preferred dissociation channels of FeO2, FeO3, FeO4, FeO3
-, and FeO4- correspond to abstraction of an O-2 dimer but not to an Fe-O b
ond rupture. FeO3- and FeO4- are found to be thermodynamically more stable
than their neutral closed-shell parents, and FeO3- is the most stable of al
l the clusters studied. The existence of several low-lying states with diff
erent multiplicities in FeOn and FeOn- indicates that their magnetic proper
ties may strongly depend on temperature.