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Gold–Thiolate Nanocluster Dynamics and Intercluster Reactions Enabled by a Machine Learned Interatomic Potential

Monolayer protected metal clusters comprise a rich class of molecular systems and are promising candidate materials for a variety of applications. While a growing number of protected nanoclusters have been synthesized and characterized in crystalline forms, their dynamical behavior in solution, including prenucleation cluster formation, is not well understood due to limitations both in characterization and first-principles modeling techniques. Recent advancements in machine-learned interatomic potentials are rapidly enabling the study of complex interactions such as dynamical behavior and reactivity on the nanoscale. Here, we develop an Au-S-C-H atomic cluster expansion (ACE) interatomic potential for efficient and accurate molecular dynamics simulations of thiolate-protected gold nanoclusters (Au n (SCH 3 ) m ). Trained on more than 30,000 density functional theory calculations of gold nanoclusters, the interatomic potential exhibits ab initio level accuracy in energies and forces and replicates nanocluster dynamics including thermal vibration and chiral inversion. Long dynamics simulations (up to 0.1 μs time scale) reveal a mechanism explaining the thermal instability of neutral Au 25 (SR) 18 clusters. Specifically, we observe multiple stages of isomerization of the Au 25 (SR) 18 cluster, including a chiral isomer. Additionally, we simulate coalescence of two Au 25 (SR) 18 clusters and observe series of clusters where the formation mechanisms are critically mediated by ligand exchange in the form of [Au-S] n rings.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗

Materials Data on AuS by Materials Project

AuS is Wurtzite structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. Au2+ is bonded to four equivalent S2- atoms to form corner-sharing AuS4 tetrahedra. There are one shorter (2.42 Å) and three longer (2.48 Å) Au–S bond lengths. S2- is bonded to four equivalent Au2+ atoms to form corner-sharing SAu4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Au2S by Materials Project

Au2S is Cuprite structured and crystallizes in the cubic Pn-3m space group. The structure is three-dimensional. Au1+ is bonded in a linear geometry to two equivalent S2- atoms. Both Au–S bond lengths are 2.32 Å. S2- is bonded to four equivalent Au1+ atoms to form corner-sharing SAu4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Au3S by Materials Project

Au3S crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Au+0.67+ is bonded in a see-saw-like geometry to four equivalent S2- atoms. There are two shorter (2.94 Å) and two longer (2.95 Å) Au–S bond lengths. S2- is bonded to twelve equivalent Au+0.67+ atoms to form a mixture of corner and face-sharing SAu12 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on AuS2 by Materials Project

SAuS is Cuprite structured and crystallizes in the cubic Pn-3m space group. The structure is three-dimensional. Au3+ is bonded to four equivalent S+1.50- atoms to form corner-sharing AuS4 tetrahedra. All Au–S bond lengths are 2.34 Å. S+1.50- is bonded in a linear geometry to two equivalent Au3+ atoms.

36 MATERIALS SCIENCE↗