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Hollow Gold Cages and Their Topological Relationship to Dual Fullerenes
Author(s) -
Trombach Lukas,
Rampino Sergio,
Wang LaiSheng,
Schwerdtfeger Peter
Publication year - 2016
Publication title -
chemistry – a european journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.687
H-Index - 242
eISSN - 1521-3765
pISSN - 0947-6539
DOI - 10.1002/chem.201601239
Subject(s) - fullerene , icosahedral symmetry , gold cluster , graphene , crystallography , materials science , x ray photoelectron spectroscopy , spectral line , cluster (spacecraft) , chemical physics , nanotechnology , chemistry , computational chemistry , physics , electronic structure , organic chemistry , quantum mechanics , nuclear magnetic resonance , computer science , programming language
Abstract Golden fullerenes have recently been identified by photoelectron spectra by Bulusu et al. [S. Bulusu, X. Li, L.‐S. Wang, X. C. Zeng, PNAS 2006 , 103 , 8326–8330]. These unique triangulations of a sphere are related to fullerene duals having exactly 12 vertices of degree five, and the icosahedral hollow gold cages previously postulated are related to the Goldberg–Coxeter transforms of C 20 starting from a triangulated surface (hexagonal lattice, dual of a graphene sheet). This also relates topologically the (chiral) gold nanowires observed to the (chiral) carbon nanotubes. In fact, the Mackay icosahedra well known in gold cluster chemistry are related topologically to the dual halma transforms of the smallest possible fullerene C 20 . The basic building block here is the (111) fcc sheet of bulk gold which is dual to graphene. Because of this interesting one‐to‐one relationship through Euler's polyhedral formula, there are as many golden fullerene isomers as there are fullerene isomers, with the number of isomers N iso increasing polynomially as O ( N iso 9 ). For the recently observed Au 16 - , Au 17 - , and Au 18 - we present simulated photoelectron spectra including all isomers. We also predict the photoelectron spectrum of Au 32 - . The stability of the golden fullerenes is discussed in relation with the more compact structures for the neutral and negatively charged Au 12 to Au 20 and Au 32 clusters. As for the compact gold clusters we observe a clear trend in stability of the hollow gold cages towards the (111) fcc sheet. The high stability of the (111) fcc sheet of gold compared to the bulk 3D structure explains the unusual stability of these hollow gold cages.