Here similarly as in the previous section, it is conjectured that all the other terms arising in an order-by-order analysis of an overlap expansion of equation ( ) cancel the unlinked-diagram contributions of the main V P2n T (100) term. Using equation ( ) and considering all possible types of diagrams that contribute to each term in the series, by following criteria mentioned in section III C, it is possible to obtain the explicit formulae for exchange-induction and exchange-dispersion energies, unapproximated in terms of electron permutations.