<p>Conventional analyses of indirect nuclear spin–spin coupling (SSC or <i>J</i>-coupling) in molecular systems typically focus on propagation through the framework of formal covalent bonds. However, in systems featuring functional groups in close proximity but separated by multiple covalent bonds, measurable through-space (TS) coupling can occur. Different mechanisms of TS coupling are commonly distinguished by the types of orbitals dominating them (e.g. lone-pair orbitals) or the type of non-covalent interaction keeping the coupling moieties in close proximity (e.g. hydrogen bonds). This article investigates the significance of the propagation of coupling specifically through <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\pi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>π</mi> </math></EquationSource> </InlineEquation>-orbitals. Using a novel approach for the evaluation of direct and indirect contributions of <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\pi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>π</mi> </math></EquationSource> </InlineEquation>-orbitals to SSC in the framework of non-hybrid density functional theory (DFT), we analyse the role of <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\pi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>π</mi> </math></EquationSource> </InlineEquation>­-orbitals in TS coupling across small molecular gaps between two <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\pi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>π</mi> </math></EquationSource> </InlineEquation>-orbital containing moieties. Therein, we make special use of Komorovský’s version of the spin-spin coupling constant density to confirm the TS character, and of Malkina’s approach to the "indirect" <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\pi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>π</mi> </math></EquationSource> </InlineEquation>-orbital contribution to SSC via the transfer of spin polarisation (<InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(\pi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>π</mi> </math></EquationSource> </InlineEquation>-TSP effect) to evaluate the <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(\pi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>π</mi> </math></EquationSource> </InlineEquation>-character of the investigated SSCs. Our results demonstrate that measurable C–C TS SSC between <InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(\pi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>π</mi> </math></EquationSource> </InlineEquation>-carbons can occur. However, <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(\pi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>π</mi> </math></EquationSource> </InlineEquation>-orbitals, beyond their structural role in enabling close proximity between the coupling moieties via <InlineEquation ID="IEq12"> <EquationSource Format="TEX">\(\pi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>π</mi> </math></EquationSource> </InlineEquation>–<InlineEquation ID="IEq13"> <EquationSource Format="TEX">\(\pi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>π</mi> </math></EquationSource> </InlineEquation> stacking interactions and CH<InlineEquation ID="IEq14"> <EquationSource Format="TEX">\(\cdots \pi \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>⋯</mo> <mi>π</mi> </mrow> </math></EquationSource> </InlineEquation> hydrogen bonds, appear to play only a minor role in the TS transfer of SSC between those moieties.</p>

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Through-space spin-spin coupling propagated by \(\pi \)-orbitals

  • Florian Lemken,
  • Alexandra Jančišinová,
  • James R. Asher

摘要

Conventional analyses of indirect nuclear spin–spin coupling (SSC or J-coupling) in molecular systems typically focus on propagation through the framework of formal covalent bonds. However, in systems featuring functional groups in close proximity but separated by multiple covalent bonds, measurable through-space (TS) coupling can occur. Different mechanisms of TS coupling are commonly distinguished by the types of orbitals dominating them (e.g. lone-pair orbitals) or the type of non-covalent interaction keeping the coupling moieties in close proximity (e.g. hydrogen bonds). This article investigates the significance of the propagation of coupling specifically through \(\pi \) π -orbitals. Using a novel approach for the evaluation of direct and indirect contributions of \(\pi \) π -orbitals to SSC in the framework of non-hybrid density functional theory (DFT), we analyse the role of \(\pi \) π ­-orbitals in TS coupling across small molecular gaps between two \(\pi \) π -orbital containing moieties. Therein, we make special use of Komorovský’s version of the spin-spin coupling constant density to confirm the TS character, and of Malkina’s approach to the "indirect" \(\pi \) π -orbital contribution to SSC via the transfer of spin polarisation ( \(\pi \) π -TSP effect) to evaluate the \(\pi \) π -character of the investigated SSCs. Our results demonstrate that measurable C–C TS SSC between \(\pi \) π -carbons can occur. However, \(\pi \) π -orbitals, beyond their structural role in enabling close proximity between the coupling moieties via \(\pi \) π \(\pi \) π stacking interactions and CH \(\cdots \pi \) π hydrogen bonds, appear to play only a minor role in the TS transfer of SSC between those moieties.