A COMPARATIVE STUDY OF EMPIRICAL POTENTIAL ENERGY FUNCTIONS: APPLICATIONS TO SILICON MICROCLUSTERS

2004 ◽  
Vol 15 (03) ◽  
pp. 403-408 ◽  
Author(s):  
ŞAKIR ERKOÇ ◽  
KUNIO TAKAHASHI

A comparative study has been performed for silicon microclusters, Si 3 and Si 4, considering fifteen different empirical potential energy functions. It has been found that only two of the empirical potential energy functions give linear structure more stable for Si 3, the remaining potential functions give triangular structure as more stable. In the case of Si 4 microclusters eight potential functions give open tetrahedral structure as more stable, two functions give perfect tetrahedral as more stable, three functions give square structure as more stable, and two functions give linear structure as more stable.

2000 ◽  
Vol 11 (03) ◽  
pp. 451-467
Author(s):  
P. GÜNEŞ ◽  
S. ŞİMŞEK ◽  
S. ERKOÇ

We have made a comparative study for the empirical potential energy functions proposed and parametrized for coinacal metals, namely Cu, Ag, and Au. We have considered four different potential energy functions, and applied them to investigate the structural properties and energetics of clusters of the elements considered.


1998 ◽  
Vol 120 (4) ◽  
pp. 496-500 ◽  
Author(s):  
Ernest D. Fasse ◽  
Peter C. Breedveld

This paper looks at spatio-geometric modeling of elastically coupled rigid bodies. Desirable properties of compliance families are defined (sufficient diversity, parsimony, frame-indifference, and port-indifference). A novel compliance family with the desired properties is defined using geometric potential energy functions. The configuration-dependent wrenches corresponding to these potential functions are derived in a form suitable for automatic computation.


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