Polyhedral Metal Nanoparticles with Cubic Lattice: Theory of Structural Properties
@inproceedings{Hermann2022PolyhedralMN,
title={Polyhedral Metal Nanoparticles with Cubic Lattice: Theory of Structural Properties},
author={Klaus E Hermann},
year={2022}
}We examine the structure of compact metal nanoparticles (NPs) forming polyhedral sections of face centered (fcc) and body centered (bcc) cubic lattices, which are confined by facets characterized by highly dense {100}, {110}, and {111} monolayers. Together with the constraint that the NPs exhibit the same point symmetry as the ideal cubic lattice, i.e. Oh, different types of generic NPs serve for the definition of general compact polyhedral cubic NPs. Their structural properties, such as shape…
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These are a set of notes I have made, based on lectures given by M.Moore at the University of Manchester Jan-June ’08. Please e-mail me with any comments/corrections: jap@watering.co.uk.
can exist as truncated octahedral, K 2N, and as truncated cubic, K 2N, species. Thus, there are two starting shapes
- octahedral) and for sc
C) are surrounded by cubic MPs cb(A, -, -) if A C and by rhombohedral MPs cb
B, -) are surrounded by cubic MPs cb(A, -, -) if A B and by octahedral MPs cb(-, -, C) if C 3/2 B. This allows a notation cb
- Further, rhombohedral MPs cb
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Simple Cubic NPs Here we start from a cubo-octahedral NP, sc(N, -, K), with its constraints N + 2g K 3N, see (C.27)