at q = 0 Å-1 , for increasing values of R, since a successful recovery of g ∞ lm (r) from g N lm (r) will make this integral converge, as previously discussed. The test systems in the following are chosen to gradually increase in complexity, starting from a neat LJ liquid, a solute-solvent LJ liquid system, then switching to liquid water before finally ending up with solute-solvent water systems. For the systems with many l, m-combinations, we will use eq. 5 at q = 0 instead, to judge the overall convergence.