Intrinsic dynamic and static natures of ^APn--X ⁺-- ^BPn σ(3c–4e) type interactions ( ^APn = ^BPn = N, P, As and Sb; X = H, F, Cl, Br and I) in bicyclo[3.3.3] and bicyclo[4.4.4] systems and their behaviour, elucidated with QTAIM dual functional analysis†

Abstract

The intrinsic dynamic and static natures of ^APn--X ⁺-- ^BPn ( ^APn = ^BPn: N, P, As and Sb; X = H, F, Cl, Br and I) in 1a ⁺–8c ⁺ were elucidated with the quantum theory of atoms-in-molecules dual functional analysis (QTAIM-DFA). Species 1a ⁺–8c ⁺ were formed by incorporating X ⁺ between ^APn and ^BPn of ^APn(CH ₂CH ₂CH ₂) ₃ ^BPn (1–4) and ^APn(CH ₂CH ₂CH ₂CH ₂) ₃ ^BPn (5–8). The relative stabilities between the symmetric and nonsymmetric structures along with their transition states were investigated. Various natures from typical hydrogen bonds (t-HB) to classical covalent bonds were predicted for the ^APn–X/ ^BPn–X interactions in ^APn--X ⁺-- ^BPn with QTAIM-DFA. The secondary interactions of H–H and X–C were also detected. The vdW to molecular complexes through charge transfer natures were predicted for them. Natural bond orbital analysis clarified that the CT terms were caused by not only n( ^APn)→ σ*(X– ^BPn) but also σ( ^APn–C)→σ*(X– ^BPn), σ( ^APn–C/ ^BPn–C)→n _p(X ⁺) and n(X)→n _s(Pn ⁺). The direction and magnitude of the p-character of n( ^APn) were the factors that determined the types of donor–acceptor interactions. Estimating the order of the interaction strengths was attempted. The σ(3c–4e) characters of ^APn--X ⁺-- ^BPn were also examined by analysing the charge distributions on ^APn--X ⁺-- ^BPn. These results would provide fundamentally important insight into designing molecules with high functionality containing X ⁺ in symmetric and nonsymmetric structures.

Abstract

Natures of the symmetric and nonsymmetric Pn⋯X ⁺⋯Pn σ(3c–4e) type interactions (Pn = N, P, As and Sb; X = H, F, Cl, Br and I) in bicyclo[3.3.3] and [4.4.4] systems are elucidated, after clarifying the stability, where X ⁺ incorporated in the cage.