The FCI correlation energy is decomposed into a sum of single electron
pair, double pair, triple pair and higher-order contributions. It is
shown how this decomposition can be used to perform more accurate and
efficient ab initio calculations. The model is accurate enough to comp
ute the weak three-body interaction in rare gases. Test calculations a
re presented for the non-additivity in the (H-2)(3) trimer, the Ne ato
m and the Ne-2 interatomic potential.