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Two-to-three dimensional transition in neutral gold clusters: the crucial role of van der Waals interactions and temperature

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Academic year: 2021

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FIG. 1. Most stable planar and nonplanar gold cluster structures for Au 5 − Au 13 at 0 K
FIG. 4. Average isotropic static polarizability (α iso ) per atom of the lowest-energy planar and nonplanar gold clusters as a function of size predicted using HSE06 + MBD(SCS) and HSE06 + TS
FIG. 6. Free-energy surfaces of Au 10 at 100 K (left) and 300 K (right). The dominant cluster isomers 10-D (elongated hexagon, D 2h ), 10-E (tri-capped hexagon, C 2h ), 10-F (capped trapezoid, C s ), and 10-G + have their Boltzmann probabilities P(T ) spec
FIG. 8. Free-energy surfaces of Au 12 at 100 K (left) and 300 K (right). The dominant cluster isomers 12-O (di-capped elongated hexagon, D 3h ), 12-P (cup, C 2v ), and 12-Q (C s ) have their  Boltz-mann probabilities P(T ) specified at each temperature, as
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