Photoelectron spectra of (MgO)(n)(-) (n = 1-5) reveal a surprising trend: T
he electron binding energy decreases from n = 1 to 4, and then increases fr
om 4 to 5. Ab initio calculations suggest this pattern is related to the el
ectrostatic interaction between the extra electron and the charge distribut
ion of the neutral cluster. This interaction is significant in MgO- and (Mg
O)(5)(-) for which the lowest nonvanishing multipole moment (LNM) is a dipo
le; it is smaller for (MgO)(2)(-) and (MgO)(3)(-) for which a quadrupole is
the LNM; and it is the smallest for (MgO)(4)(-), for which an octopole is
the LNM. The cubic (MgO)(4)(-) is the first octopole-bound anion yet observ
ed experimentally and characterized theoretically.