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Updated: Jul 4, 2026

Spatial Separation of Molecular Conformers and Clusters
Published on: January 9, 2014
Retracted Article: A highest stable cluster Au58 (C 1) re-optimized via a density-functional tight-binding (DFTB)
K Vishwanathan1, M Springborg1
1Physical and Theoretical Chemistry, University of Saarland 66123 Saarbrücken Germany vishwa_nathan_7@yahoo.com +49-0151-63119680.
Abstract:
The vibrational spectrum ω of a re-optimized neutral gold cluster Au58 has been calculated using a numerical finite-difference approach and the density-functional tight-binding (DFTB) method. We have exactly predicted the vibrational frequency ranging from 3.88 through to 304.49 cm-1 which depends on the size and the arrangement of the atoms in the nanoparticle morphology of the cluster at ΔE = 0. Our investigation has revealed that the vibrational spectrum is strongly influenced by size and structure. It is well known that gold atomic clusters can have planar or hollow cage-like structures due to their relativistic effect. However, in our study, by first principles calculations on a Au58 cluster we have proposed that gold clusters of medium size can form a shell-like structure (skeleton/helmet), this is demonstrated by the remarkable robustness of a double shell structure with a hollow inner shell of about ten atoms. Finally, the structure symmetry (C 1) is confirmed through the cluster size, vibrational spectroscopy, and by studying the effect of temperature on a neutral gold cluster for the first time.
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