A computational study was undertaken for the model complexes H X…YF and (CH ) X…YF (X=O, S, Se; Y=F, Cl, H), and H X'…YF and (CH ) X'…YF (X'=N, P, As), at the MP2/6-311++G(d,p) level of theory. For H X…YF and H X'…YF, noncovalent interactions dominate the binding in order of increasing YF dipole moment, except for H As…F , and possibly H As…ClF. However, for the methyl-substituted complexes (CH ) X…YF and (CH ) X'…YF the binding is especially strong for the complexes containing F , implying significant chemical bonding between the interacting molecules. The relative stability of these complexes can be rationalized by the difference in the electronegativity of the X or X' and Y atoms.