On the anisotropy of van der Waals atomic radii of O, S, Se, F, Cl, Br, and I.

The Cambridge Structural Database (CSD) was used to obtain flattening factors to describe the overall anisotropy of nonbonding van der Waals (vdW) contacts between several main group elements. The method for obtaining the flattening factors is based on a novel minimization process. Results show that the vdW contact distances are significantly dependent on the environment and the orientations of the surrounding covalently bonded atoms: head-on vdW contacts are generally shorter than sideways contacts in overall agreement with earlier results by Nyburg and Faerman (Acta Crystallogr., Sect. B: Struct. Sci. 1985, 41, 274-279). With the exception of Se, we find flattening factors that are somewhat smaller than those found earlier. High-level ab initio quantum chemical calculations using Ar and Ne as a probe also confirm the flattening effect and its dependency on the environment. A dozen popular long-range corrected and dispersion supplemented density functionals are compared with the CCSD(T) data. While several of them perform quite poorly, four DFT-D methods, especially B3LYP-GD3BJ, provided vdW flattening similar to those found by the CCSD(T) theory and experiment.