Abstract

The interpretation of the distortions of the electron distribution in [2,2]cyclophanes (22-CPs) is controversial. Some studies indicate that there is an accumulation of electron density (ρ) outside the cavity of 22-CPs. The nature of through-space (ts) interaction is still under debate. The relative importance of ts and through-bond (tb) is an open question. In an attempt to clarify these points, we have investigated five 22-CPs and their corresponding toluene dimers by molecular orbitals analysis, electron density difference analysis, some topological analysis of ρ (quantum theory of atoms in molecules (QTAIM), electron localization function (ELF) and noncovalent interactions (NCI)), and energy decomposition analysis with natural orbitals for chemical valence (EDA-NOCV). ρ is concentrated inside the inter-ring region. All the analyses indicated that ts is predominant. The ts is composed by attractive dispersion and Pauli repulsion, with a small covalent contribution. Except for 1 and 6, all the compounds present inter-ring bond paths.

Highlights

  • Cyclophanes are compounds that bear one or more aromatic rings, decks, connected by aliphatic chains, bridges

  • The compounds had their geometry optimized, and the vibrational frequencies were calculated by the PW6B9536D3(BJ)37/def2-TZVP38 computational model; the Orca 4.04

  • The interacting quantum atoms (IQA) analyses were performed with AIMAll 19.02.13.40 The electron localization function (ELF) and non-covalent interaction (NCI) analyses and Hirshfeld partition of electron density were conducted with Multiwfn 3.6.41 For the energy decomposition analysis (EDA)-NOCV calculations, the geometries of all the studied compounds were optimized without restraints, and the vibrational frequencies were calculated from the BLYP42-D3(BJ)37 method and TZ2P43 basis set

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Summary

Introduction

Cyclophanes are compounds that bear one or more aromatic rings, decks, connected by aliphatic chains, bridges. In some [2,2]cyclophanes, as [2,2]paracyclophane, (1), the inter-ring distance is shorter than twice the carbon van der Waals radius. Despite several studies on the electronic structure of [2,2]cyclophanes, mainly 1, certain points still are not totally understood, some related to the transannular interactions, or the interaction between aromatic rings, π-π interaction, or stacking. The electron density (ρ) distribution inside or outside the inter-ring region, or cavity. Some authors observed a concentration of ρ outside the cavity, the “toothpaste-tube effect”. The use of photoelectron spectroscopy for [2,2]paracyclophanes with an increasing number of bridges (2PCPs) indicated that the electron density is not concentrated outside the inter-ring region.. Changes in the inter-ring distances reinforced the conclusions of both studies.

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