{"title":"Decoding Chemical Resonance in π-Conjugated Systems","authors":"Dariusz W. Szczepanik, Pawel A. Wieczorkiewicz","doi":"10.1021/acsphyschemau.6c00031","DOIUrl":null,"url":null,"abstract":"<p>Understanding the electronic structure of (anti)aromatic\r\npoly-\r\nand macrocyclic π-conjugated systems remains a central challenge\r\nin contemporary chemistry, given their importance in materials science,\r\nmolecular electronics, photophysics, and catalysis. While magnetically\r\ninduced ring currents and NMR-based descriptors have long served as\r\nkey indicators of (anti)aromatic character, the extent to which such\r\nmagnetic observables reflect the full ground-state π-bonding\r\narchitecture becomes less transparent in large and topologically complex\r\nsystems. Here we introduce a wavefunction-based analytical protocol─\r\nthe π-Bond Delocalization Function (BDF<sub>π</sub>)─\r\nwhich maps the spatial organization of localized and delocalized π-bonding\r\ndirectly from the ground-state one-electron density matrix. Rather\r\nthan relying on predefined resonance models or orbital localization\r\nschemes, the method extracts bonding topology from the complete occupied\r\nπ-space. This enables a direct comparison between the global\r\nπ-electron distribution and the more selective subset of frontier-orbital\r\nexcitations that dominate magnetic response phenomena. Applied to\r\nrepresentative poly- and macrocyclic systems frequently discussed\r\nin the context of global (anti)aromaticity, BDF<sub>π</sub> reveals\r\nthat magnetic ring currents and bonding delocalization need not coincide\r\nquantitatively in extended conjugated frameworks. Magnetic descriptors\r\npredominantly probe perturbative response channels, whereas the underlying\r\nresonance structure reflects the collective organization of the entire\r\noccupied π-manifold. By explicitly relating these two perspectives,\r\nthe present framework provides a coherent and chemically transparent\r\naccount of how resonance topology and experimentally observable magnetic\r\nbehavior are connected─ and where they may diverge─\r\nin large conjugated architectures.</p>","PeriodicalId":29796,"journal":{"name":"ACS Physical Chemistry Au","volume":"6 4","pages":"793–802"},"PeriodicalIF":4.8000,"publicationDate":"2026-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Physical Chemistry Au","FirstCategoryId":"1085","ListUrlMain":"https://pubs.acs.org/doi/10.1021/acsphyschemau.6c00031","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2026/5/15 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"CHEMISTRY, PHYSICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Understanding the electronic structure of (anti)aromatic
poly-
and macrocyclic π-conjugated systems remains a central challenge
in contemporary chemistry, given their importance in materials science,
molecular electronics, photophysics, and catalysis. While magnetically
induced ring currents and NMR-based descriptors have long served as
key indicators of (anti)aromatic character, the extent to which such
magnetic observables reflect the full ground-state π-bonding
architecture becomes less transparent in large and topologically complex
systems. Here we introduce a wavefunction-based analytical protocol─
the π-Bond Delocalization Function (BDFπ)─
which maps the spatial organization of localized and delocalized π-bonding
directly from the ground-state one-electron density matrix. Rather
than relying on predefined resonance models or orbital localization
schemes, the method extracts bonding topology from the complete occupied
π-space. This enables a direct comparison between the global
π-electron distribution and the more selective subset of frontier-orbital
excitations that dominate magnetic response phenomena. Applied to
representative poly- and macrocyclic systems frequently discussed
in the context of global (anti)aromaticity, BDFπ reveals
that magnetic ring currents and bonding delocalization need not coincide
quantitatively in extended conjugated frameworks. Magnetic descriptors
predominantly probe perturbative response channels, whereas the underlying
resonance structure reflects the collective organization of the entire
occupied π-manifold. By explicitly relating these two perspectives,
the present framework provides a coherent and chemically transparent
account of how resonance topology and experimentally observable magnetic
behavior are connected─ and where they may diverge─
in large conjugated architectures.
期刊介绍:
ACS Physical Chemistry Au is an open access journal which publishes original fundamental and applied research on all aspects of physical chemistry. The journal publishes new and original experimental computational and theoretical research of interest to physical chemists biophysical chemists chemical physicists physicists material scientists and engineers. An essential criterion for acceptance is that the manuscript provides new physical insight or develops new tools and methods of general interest. Some major topical areas include:Molecules Clusters and Aerosols; Biophysics Biomaterials Liquids and Soft Matter; Energy Materials and Catalysis