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Title: Si clusters are more metallic than bulk Si

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.4972813· OSTI ID:1418170
ORCiD logo [1];  [2]
  1. Central Michigan Univ., Mount Pleasant, MI (United States)
  2. Argonne National Lab. (ANL), Argonne, IL (United States). Chemical Sciences and Engineering Division

Dipole polarizabilities were computed using density functional theory for silicon clusters over a broad range of sizes up to N = 147 atoms. The calculated total effective polarizabilities, which include contributions from permanent dipole moments of the clusters, are in very good agreement with recently measured values. We show that the permanent dipole contributions are most important for clusters in the intermediate size range and that the measured polarizabilities can be used to distinguish between energetically nearly degenerate cluster isomers at these sizes. We decompose the computed total polarizabilities into the so-called dipole and charge transfer contributions, $α^p$ and $α^q$, using a sitespecific analysis. When the per-atom values of these quantities are plotted against $$N^{-1/3}$$, clear linear trends emerge that can be extrapolated to the large size limit ($$N^{-1/3}$$ → 0), resulting in a value for $$\frac{α}{N}$$ of 30.5 bohrs3/atom that is significantly larger than the per-atom polarizability of semiconducting bulk Si, 25.04 bohrs3/atom. This indicates that Si clusters possess a higher degree of metallicity than bulk Si, a conclusion that is consistent with the strong electrostatic screening of the cluster interiors made evident by the analysis of the calculated atomic polarizabilities.

Research Organization:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences, and Biosciences Division
Grant/Contract Number:
AC02-06CH11357; SC0001330
OSTI ID:
1418170
Alternate ID(s):
OSTI ID: 1364074
Journal Information:
Journal of Chemical Physics, Vol. 145, Issue 24; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 8 works
Citation information provided by
Web of Science

References (44)

Generalized Gradient Approximation Made Simple journal October 1996
Structures of medium-sized silicon clusters journal April 1998
Possible Lowest-Energy Geometry of Silicon Clusters Si 21 and Si 25 journal November 2003
Atomistic dipole moments and polarizabilities of NaN clusters, N=2–20 journal October 2008
Optimally stuffed fullerene structures of silicon nanoclusters journal March 2005
Silicon Clusters of Intermediate Size: Energetics, Dynamics, and Thermal Effects journal February 2000
Calculated polarizabilities of intermediate-size Si clusters journal May 1999
Lowest-energy endohedral fullerene structure of Si 60 from a genetic algorithm and density-functional theory journal May 2007
Investigating the metallic behavior of Na clusters using site-specific polarizabilities journal January 2014
High-resolution ion mobility measurements for silicon cluster anions and cations journal November 1999
Polarizabilities of SiN (N = 8–75) clusters from molecular beam electric deflection experiments journal November 2012
Shape of Small Silicon Clusters journal October 1993
Energy band gaps and lattice parameters evaluated with the Heyd-Scuseria-Ernzerhof screened hybrid functional journal November 2005
Single-Parent Evolution Algorithm and the Optimization of Si Clusters journal July 2000
First-principles study of structural evolution of medium-sized SiN clusters (41 N 50) within stuffed fullerene cages journal July 2007
Reexamine structures and relative stability of medium-sized silicon clusters: Low-lying endohedral fullerene-like clusters Si30–Si38 journal October 2009
Structures and relative stability of medium-sized silicon clusters. IV. Motif-based low-lying clusters Si21–Si30 journal February 2006
Structural features of silicon clusters () journal August 2007
On the theoretical determination of the static dipole polarizability of intermediate size silicon clusters journal December 2002
Shape, polarizability, and metallicity in silicon clusters journal March 2005
Silicon cluster ions: Evidence for a structural transition journal November 1991
Site-Specific Analysis of Dielectric Properties of Finite Systems journal December 2007
Density-functional theory of the dielectric constant: Gradient-corrected calculation for silicon journal February 1994
Electron Binding Energies of Anionic Magnesium Clusters and the Nonmetal-to-Metal Transition journal November 2002
Dissociation of large silicon clusters: the approach to bulk behavior journal November 1991
Note: Gas phase structures of bare Si 8 and Si 11 clusters from molecular beam electric deflection experiments journal May 2012
Between geometry, stability, and polarizability: Density functional theory studies of silicon clusters Sin (n=3–10) journal September 2004
Structures and relative stability of medium-sized silicon clusters. V. Low-lying endohedral fullerenelike clusters Si31–Si40 and Si45 journal April 2006
Modified genetic algorithms to model cluster structures in medium-sized silicon clusters: Si 18 Si 60 journal May 2006
Accurate forces in a local-orbital approach to the local-density approximation journal August 1990
Stabilization of S i 60 Cage Structure journal April 2003
Questioning the existence of a unique ground-state structure for Si clusters journal February 2007
Variational mesh for quantum-mechanical simulations journal April 1990
Structures and relative stability of medium- and large-sized silicon clusters. VI. Fullerene cage motifs for low-lying clusters Si39, Si40, Si50, Si60, Si70, and Si80 journal March 2008
Stabilities and fragmentation energies of Si n clusters ( n = 2–33) journal October 2009
Polarizabilities of Isolated Semiconductor Clusters journal January 1996
Ab initio Calculations for the Polarizabilities of Small Semiconductor Clusters journal June 1997
Stuffed fullerene structures for medium-sized silicon clusters journal July 2005
Ionization of medium-sized silicon clusters and the geometries of the cations journal December 1998
Motif Transition in Growth Patterns of Small to Medium-Sized Silicon Clusters journal February 2005
Calculated polarizabilities of small Si clusters journal January 2000
Endohedral Silicon Fullerenes Si N (27 ≤ N ≤ 39) journal October 2004
Competitive diamond-like and endohedral fullerene structures of Si70 journal December 2010
Unraveling the Shape Transformation in Silicon Clusters journal July 2004