Context <p>Small iron-doped boron clusters are useful model systems for examining how structure, excited-state behavior, and chemical reactivity evolve at low nuclearity. Here, the neutral B<sub>n</sub>Fe series (<i>n</i> = 3–6) was studied to determine whether increasing boron content yields a simple size-dependent progression or instead leads to distinct mechanistic regimes. The results reveal a clearly non-monotonic evolution, with B<sub>4</sub>Fe emerging as the most mechanistically transparent molecular-activation prototype, B<sub>3</sub>Fe defining a dissociative activation limit, and B<sub>6</sub>Fe representing the global softness/electrophilicity limit.</p> Methods <p>The B<sub>n</sub>Fe clusters were investigated using an integrated density functional theory workflow combining ground-state optimization, harmonic vibrational analysis, selected-state TDDFT calculations, natural transition orbital analysis, global conceptual-DFT descriptors, condensed Fukui functions, and a prototype H<sub>2</sub>-activation test. The optimized PBE0/def2-TZVP structures confirmed stable minima and showed a non-monotonic structural trend: B<sub>3</sub>Fe is compact and planar, B<sub>4</sub>Fe is non-planar but relatively rigid, B<sub>5</sub>Fe is the most distorted and vibrationally soft member, and B<sub>6</sub>Fe regains partial compactness while remaining non-planar. Optical analysis showed that B<sub>4</sub>Fe and B<sub>5</sub>Fe absorb at similar low energies, but B<sub>4</sub>Fe is much brighter and more coherent. Global descriptors identified B<sub>6</sub>Fe as the softest and most electrophilic cluster, whereas local Fukui analysis showed that B<sub>4</sub>Fe provides the clearest Fe/B reactivity differentiation. In the H<sub>2</sub>-interaction analysis, B<sub>3</sub>Fe yielded a dissociative or near-dissociative product, whereas B<sub>4</sub>Fe-B<sub>6</sub>Fe retained molecular H<sub>2</sub>&#xa0;adducts, with B<sub>4</sub>Fe showing the strongest geometric activation of the H-H bond.</p>

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Non-monotonic Structure-Property Relationships in Small Iron-Doped Boron Clusters: A DFT Study of B n Fe (n = 3-6)

  • Frans Augusthinus Asmuruf,
  • Johnson Siallagan,
  • Yuliana Ruth Yabansabra,
  • Lodwyk Nomenzen Krimadi,
  • Nada Pertiwi Papriani

摘要

Context

Small iron-doped boron clusters are useful model systems for examining how structure, excited-state behavior, and chemical reactivity evolve at low nuclearity. Here, the neutral BnFe series (n = 3–6) was studied to determine whether increasing boron content yields a simple size-dependent progression or instead leads to distinct mechanistic regimes. The results reveal a clearly non-monotonic evolution, with B4Fe emerging as the most mechanistically transparent molecular-activation prototype, B3Fe defining a dissociative activation limit, and B6Fe representing the global softness/electrophilicity limit.

Methods

The BnFe clusters were investigated using an integrated density functional theory workflow combining ground-state optimization, harmonic vibrational analysis, selected-state TDDFT calculations, natural transition orbital analysis, global conceptual-DFT descriptors, condensed Fukui functions, and a prototype H2-activation test. The optimized PBE0/def2-TZVP structures confirmed stable minima and showed a non-monotonic structural trend: B3Fe is compact and planar, B4Fe is non-planar but relatively rigid, B5Fe is the most distorted and vibrationally soft member, and B6Fe regains partial compactness while remaining non-planar. Optical analysis showed that B4Fe and B5Fe absorb at similar low energies, but B4Fe is much brighter and more coherent. Global descriptors identified B6Fe as the softest and most electrophilic cluster, whereas local Fukui analysis showed that B4Fe provides the clearest Fe/B reactivity differentiation. In the H2-interaction analysis, B3Fe yielded a dissociative or near-dissociative product, whereas B4Fe-B6Fe retained molecular H2 adducts, with B4Fe showing the strongest geometric activation of the H-H bond.