doi = "10.1103/PhysRevB.71.035211",
}
+@Article{erhart04,
+ title = "The role of thermostats in modeling vapor phase
+ condensation of silicon nanoparticles",
+ journal = "Applied Surface Science",
+ volume = "226",
+ number = "1-3",
+ pages = "12--18",
+ year = "2004",
+ note = "EMRS 2003 Symposium F, Nanostructures from Clusters",
+ ISSN = "0169-4332",
+ doi = "DOI: 10.1016/j.apsusc.2003.11.003",
+ URL = "http://www.sciencedirect.com/science/article/B6THY-4B957HV-8/2/b35dbe80a70d173f6f7a00dacbcbd738",
+ author = "Paul Erhart and Karsten Albe",
+}
+
@Article{albe2002,
title = "Modeling the metal-semiconductor interaction:
Analytical bond-order potential for platinum-carbon",
\subsubsection{Improved analytical bond order potential}
Although the Tersoff potential is one of the most widely used potentials there are some shortcomings.
-Describing the Si interaction Tersoff was unable to find a single parameter set to describe well both, bulk and surface properties.
+Describing the Si-Si interaction Tersoff was unable to find a single parameter set to describe well both, bulk and surface properties.
Due to this and since the first approach labeled T1 \cite{tersoff_si1} turned out to be unstable \cite{dodson87}, two further parametrizations exist, T2 \cite{tersoff_si2} and T3 \cite{tersoff_si3}.
While T2 describes well surface properties, T3 yields improved elastic constants and should be used for describing bulk properties.
However, T3, which is used in the Si/C potential, suffers from an underestimation of the dimer binding energy.
-Similar behavior is found for the C interaction.
+Similar behavior is found for the C-C interaction.
-For this reason, Erhart and Albe provide a reparametrization of the Tersoff potential based on three independently fitted potentials for the Si-Si, C-C and Si-C interaction \cite{albe_sic_pot}.
-The functional form is nearly the same like the one proposed by Tersoff.
+For this reason, Erhart and Albe provide a reparametrization of the Tersoff potential based on three independently fitted parameter sets for the Si-Si, C-C and Si-C interaction \cite{albe_sic_pot}.
+The functional form is similar to the one proposed by Tersoff.
Differences in the energy functional and the force evaluation routine are pointed out in appendix \ref{app:d_tersoff}.
-For Si ...
+Concerning Si the elastic properties of the diamond phase as well as the structure and energetics of the dimer are reproduced very well.
+The new parameter set for the C-C interaction yields improved dimer properties while at the same time delivers a description of the bulk phase similar to the Tersoff potential.
+The potential provides succeeds in the description of the low as well as high coordinated structures is provided.
+The description of elastic properties of SiC is improved with respect to the potentials available in literature.
+Defect properties are only fairly reproduced but the description is comparable to previously published potentials.
+It is claimed that the potential enables the modeling of widely different configurations and transitions among these and has recently been used to simulate the inert gas condensation of Si-C nanoparticles \cite{erhart04}.
+Therefore the Erhart/Albe (EA) potential is considered the superior analytical bond order potential to study the SiC precipitation and associated processes in Si.
\subsection{Statistical ensembles}
\label{subsection:statistical_ensembles}