A new concept called configuration distribution analysis is introduced to e
xtract quantitative information on adsorbate-adsorbate interactions from hi
gh-resolution scanning tunneling microscopy data. From atom-resolved nitrog
en island configurations on an Fe(100) surface we show that the propensity
to form small, compact c(2 X 2) nitrogen islands is due to a nearest neighb
or repulsion and next-nearest neighbor attraction. We demonstrate the impor
tance of including many-body terms and elastic interactions to account for
the detailed description of the island distribution.