The full molecular wavefunction has some peculiarities that might be unfamiliar to many chemists. Since eigenstates of the molecular Hamiltonian must be symmetric or antisymmetric under inversion, the two enantiomers of a given chiral structure have exactly the same probability, i.e., eigenstates for a chiral molecule are quantum superpositions of both enantiomers. This is in conflict with the empirical observation of optical activity, which led Van 't Hoff to predict the existence of enantiomers as early as 1874. Another complication is the fact that molecular eigenstates are superpositions of different orientations in space of a given classical molecular structure due to rotation. Cafiero and Adamowicz 36 attempted to obtain the molecular structure of isotopomers of H + 3 , a molecule of great importance in as-trochemistry, by computing expectation values of internuclear distances. However, they faced difficulties due to the indistinguishability of identical nuclei: The definition of a molecular structure requires measuring distances between distinguishable particles, e.g., the OH distance in ethanol requires us to be able to distinguish the hydroxy proton from the methyl proton. In quantum mechanics, however, the average OH distance includes the distances of the O nucleus to all protons in the molecule (hydroxy, methylene, and methyl). Cafiero and Adamowicz concluded that they cannot distinguish between equilateral triangular and linear structures of the homonuclear H + 3 isotopomers. Only through "isotopic substitution," considering the HDT + isotopomer where all three nuclei are distinguishable, they were able to confirm the triangular structure that is so straightforwardly obtained within the BOA. We hypothesize that molecular structure is essentially a manifestation of strong statistical correlation between the positions of the nuclei. As such, it should be possible to extract molecular structure information from the joint probability density, i.e. square of