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May 17, 2026Inorganics0 citationsOpen Access

DFT Investigation of CO2 Adsorption on Cu4 and Sc4 Clusters: Effects of Functional Choice, Spin State, and Vibrational Stability

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KOKatherine Ortiz-PaterninaRORodrigo Ortega-ToroJHJoaquín Hernández-Fernández

Key Points

  • This research aims to explore how different computational approaches affect CO2 adsorption on Cu4 and Sc4 clusters.
  • Evaluated four computational protocols (TPSSh, r2SCAN-3c, PBE-D4/def2-TZVP, PBE0-SDD) for CO2 adsorption.
  • Compared results from ORCA and Gaussian quantum-chemistry packages to establish consistency.
  • Used lowest harmonic vibrational frequency as a criterion for assessing stability of optimizations.
  • Cu4 shows weak CO2 binding regardless of protocol; Sc4 demonstrates stronger binding but is more sensitive to computational approach.
  • Vibrational modes identified in several optimized structures indicate that adsorption energies require vibrational validation.
  • Differences in functional treatment and spin multiplicity impact optimized geometry and adsorption strength.

Abstract

CO2 adsorption on subnanometric metal clusters is highly sensitive to the computational protocol used to describe the potential energy surface, particularly when several low-lying geometries and spin states are accessible. In this work, CO2 adsorption on Cu4 and Sc4 clusters was investigated using density functional theory (DFT) to evaluate how the choice of functional/basis-set protocol, spin multiplicity, initial geometry, and vibrational stability affects the predicted adsorption behavior. Four representative computational protocols (TPSSh, r2SCAN-3c, PBE-D4/def2-TZVP, and PBE0-SDD) were assessed for isolated clusters and cluster–CO2 complexes. The lowest harmonic vibrational frequency, ωmin, was used as a diagnostic criterion to distinguish true minima from unstable or weakly defined stationary points. Selected cases were also cross-checked using the ORCA and Gaussian quantum-chemistry packages to assess whether comparable computational settings yielded consistent stationary-point character. The results show that Cu4 generally exhibits weak CO2 binding, whereas Sc4 displays stronger but more protocol-dependent adsorption, consistent with its higher structural flexibility and more pronounced Lewis-acid character. Low-frequency and imaginary modes were found in several optimized structures, indicating that adsorption energies should not be interpreted without prior vibrational validation. The comparison also shows that variations in functional/basis-set treatment and spin multiplicity can alter both the optimized geometry and the predicted adsorption strength. Therefore, CO2 adsorption on small metal clusters should be discussed using combined structural, vibrational, and energetic criteria rather than electronic adsorption energies alone. Overall, this study provides a protocol-oriented framework for evaluating the reliability of DFT predictions in CO2 adsorption on Cu4 and Sc4 clusters.

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Cite This Study

Ortiz-Paternina et al. (2026) studied this question.

synapsesocial.com/papers/6a095ba67880e6d24efe171chttps://doi.org/10.3390/inorganics14050136
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