We present a new and general technique with which the local properties
of the unoccupied states of an adsorbed alkali atom in the low covera
ge limit can be studied. The method, based on a combination of experim
ental core level spectroscopy data and calculations, is demonstrated f
or the K/graphite system. We show that con excitation and decay spectr
a of adsorbed Ar combined with the calculations form a most powerful t
ool in order to determine the unoccupied density of states for an isol
ated K adatom. We iind that the 4s level of an isolated K atom on grap
hite is placed 2.7 eV above E-F, With a hybridization width of the ord
er of only 0.1 eV.