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  Theoretical study of pure (Si_{n}) and doped silicon (AlSi_{n-1} and PSi_{n-1}) clusters (n=2–13) using ab initio molecular orbital theory
 
 
Titel: Theoretical study of pure (Si_{n}) and doped silicon (AlSi_{n-1} and PSi_{n-1}) clusters (n=2–13) using ab initio molecular orbital theory
Auteur: Nigam, Sandeep
Kulshreshtha, S.K.
Majumder, Chiranjib
Verschenen in: Journal of computational methods in sciences and engineering
Paginering: Jaargang 7 (2008) nr. 3-4 pagina's 319-335
Jaar: 2008-04-28
Inhoud: The geometric and electronic structures of Si_{n}, Si_{n}^{+}, Si_{n}^-, AlSi_{n-1} and PSi_{n-1} clusters (2 ⩽ n ⩽13) has been investigated using the ab initio molecular orbital theory under the density functional theory formalism. Relative stabilities of these clusters have been analyzed based on their binding energies, second difference in energy (Δ^{2}E) and fragmentation behavior. The equilibrium geometry of the neutral and charged Si_{n} clusters shows similar structural growth. The geometries of the Si_{n}^{+} and AlSi_{n-1} are similar to those of the Si_{n}, but with small distortions. The ground state geometries of the AlSi_{n-1} clusters shows that the impurity Al atom prefers to substitute for the Si atom, that has the highest coordination number in the host Si_{n} cluster. However for Si_{n}^-, n=6, 8, 11, and 13, significant changes have been observed in the ground state geometries of the negatively charged clusters as compared to their neutral counterparts. In general the geometries of the P substituted silicon clusters remain similar to that of negatively charged Si_{n} clusters with small local distortions. In general, the average binding energy of charged clusters is found to be higher than that of neutral Si_{n} clusters. However, significant differences have been observed in the electronic structure of neutral and charge cluster leading to their different stability pattern. While for neutral clusters, the Si_{10} is magic, the extra stability of the Si_{11}^{+} cluster over the Si_{10}^{+} and Si_{12}^{+}bears evidence for the magic behavior of the Si_{11}^{+} cluster, which is in excellent agreement with the recent experimental observations (ref. [29]). Similarly for AlSi_{n-1} clusters, which is iso-electronic with Si_{n}^{+} clusters show extra stability of the AlSi_{10} cluster suggesting the influence of the electronic structures for different stabilities between neutral and charged clusters. For iso-electronic PSi_{n-1} clusters, it is found that although for small clusters (n< 4) substitution of P atom improves the binding energy of Si_{n} clusters but for larger clusters (n > 4), the effect is opposite. The fragmentation behavior of all these clusters shows that while small clusters prefers to evaporate monomer, the larger ones dissociates into two stable clusters of smaller size. Finally, a good agreement between experimental and our theoretical results suggests good prediction of the lowest energy isomeric structures for all clusters calculated in the present study.
Uitgever: IOS Press
Bronbestand: Elektronische Wetenschappelijke Tijdschriften
 
 

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