The additional substituents arising from hypervalency present a number of complicating issues for the formation of noncovalent bonds. The XF molecule (X=Cl, Br, I) was allowed to form a halogen bond with NH as the base. Hypervalent chalcogen bonding is examined by way of YF and YF (Y=S, Se, Te), and ZF (Z=P, As, Sb) is used to model pnicogen bonding. Pnicogen bonds are particularly strong, with interaction energies approaching 50 kcal mol , and also involve wholesale rearrangement from trigonal bipyramidal in the monomer to square pyramidal in the complex, subject to a large deformation energy. YF chalcogen bonding is also strong, and like pnicogen bonding, is enhanced by a heavier central atom. XF halogen bond energies are roughly 9 kcal mol , and display a unique sensitivity to the identity of the X atom. The crowded octahedral structure of YF permits only very weak interactions. As the F atoms of SeF are replaced progressively by H, a chalcogen bond appears in combination with SeH⋅⋅⋅N and NH⋅⋅⋅F H-bonds. The strongest such chalcogen bond appears in SeF H ⋅⋅⋅NH , with a binding energy of 7 kcal mol , wherein the base is located in the H face of the Lewis acid. Results are discussed in the context of the way in which the positions and intensities of σ-holes are influenced by the locations of substituents and lone electron pairs.