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Updated: May 12, 2026

Magnetometric Characterization of Intermediates in the Solid-State Electrochemistry of Redox-Active Metal-Organic Frameworks
Published on: June 9, 2023
3c/4e σ-type long-bonding: a novel transitional motif toward the metallic delocalization limit
1Department of Chemistry, University of Wisconsin, Madison, Wisconsin 53706, United States. landis@chem.wisc.edu
Abstract:
We describe a novel "long-bonding" motif that appears in the framework of natural bond orbital (NBO) analysis as a surprising form of 3-center, 4-electron (3c/4e) L···A···L' bonding with "inverted" electronegativity pattern Ξ(A) > Ξ(L), Ξ(L'). Such long-bonding (denoted L(^)L') underlies the predicted (meta)stability of exotic rare gas species with highly electronegative ligands (e.g., HeF2, NeF2) as well as the absolute stability of low-electronegativity metallic triads (e.g., BeLi2, ZnCu2, and related species) that are experimentally unknown but can be anticipated from simple valency and electronegativity trends. We focus particularly on the BeLi2 triad, whose Lewis-type Li(^)Li' long bond is of paradoxical antibonding phase pattern, denoted σ*(LiLi') to suggest its essential 2(-1/2)(s(Li) - s(Li')) orbital composition. We demonstrate how the long-bonded triad serves as a fundamental building-block for numerous 1-, 2-, and 3-d structures that are predicted to exhibit extraordinary calorimetric, vibrational, and electric polarizability properties, commonly associated with the delocalized metallic limit. Both thermodynamic and kinetic results support the NBO inference that σ/σ*-type long-bonding signals the transition to a fundamentally new regime of chemical association, separated by significant activation barriers from the covalent molecular domain and characterized by reversed perturbative precedence of Lewis-type vs resonance-type donor-acceptor contributions. Long-bond resonance therefore appears to be of central importance to a broadened conceptual picture of molecular and metallic interaction phenomena.
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