Do resonance-assisted intramolecular halogen bonds exist without a charge transfer and a σ-hole?

To analyze the properties and mechanisms of six types of intramolecular resonance-assisted halogen bonds (Br···O, Cl···O, F···O, Br···O, Cl···S and F···S), we have chosen the five-membered closed ring system X-C1R1=C3R2-C2R3=Y (X = Br, Cl & F; Y = O & S) of unsaturated compounds with the substituents NO2, CH3 and H. A total of 78 structures were investigated by quantum chemical calculations at the MP2/aug-cc-pVTZ level of theory. A molecular electrostatic potential (MESP) map reveals that the cusp point of the σ-hole was not utilized but the belt point was used for all these intramolecular halogen-bonding interactions, indicating that all are electrostatic interactions. The halogen-bonding angle is below 100° with the strongest interactions. The value of the nucleus-independent chemical shift (NICS (1)) reflects the changes and efficiency of resonance in all structures with a long bond. The presence of all interactions was proved by the bond critical point (BCP) and analyzed through its electron density, Laplacian of electron density and ellipticity parameter. The linear-probability correlation between the difference of the sum of the van der Waals radius and the non-covalent bond length (∑vdW-L) and the electron density of the BCP was reported. 2D and 3D-NCI (non covalent interactions) plots show that halogen-bonding interactions are a mixed type of interactions with an attractive term. Natural bond orbital (NBO) analysis clearly indicates that the halogen bond lacks charge transfer and orbital overlapping through non-interacting lobes.