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Area of Science:

  • Computational chemistry
  • Solid-state physics
  • Materials science

Background:

  • Approximate density functional theory (DFT) methods suffer from delocalization errors impacting accuracy.
  • DFT+U and global hybrid functionals are common solutions for delocalization errors.
  • Previous studies showed these methods localize density away from metal centers in transition-metal complexes.

Purpose of the Study:

  • To compare density localization trends of DFT+U and global hybrids in diverse transition-metal solids.
  • To investigate the influence of crystal environment and coordination on density localization.
  • To assess the transferability of findings from molecular complexes to solid-state systems.

Main Methods:

  • Computational analysis of 34 transition-metal-containing solids.
  • Inclusion of solids with varying magnetic states, electron configurations, and ligand types (O, S, Se).
  • Study of open-framework solids with molecular ligands (e.g., carbonates, hydroxides, cyanides).

Main Results:

  • Global hybrids consistently localize density away from the metal in solids, similar to complexes.
  • DFT+U shows varied behavior: localizing density onto the metal in some cases (low-spin, late transition metals) and away in others.
  • Molecular analogues extracted from solids confirmed density localization away from the metal for both methods.

Conclusions:

  • Density localization trends observed in transition-metal complexes may not directly translate to solid-state materials.
  • The crystal environment significantly influences the performance of DFT+U and hybrid functionals.
  • Careful consideration of the solid-state context is crucial when applying functional tuning strategies.