2005
DOI: 10.1103/physrevb.72.165413
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Nearly-free-electron gas in a silicon cage

Abstract: A systematic study of the ground state geometries, electronic structure, and stability of the metal ͑M͒ encapsulated MSi 12 ͑M = Sc, Ti, V, Cr, Mn, Fe, Co, Ni͒ clusters has been carried out within a gradientcorrected density functional formalism. It is shown that the ground state of most MSi 12 clusters has the lowest spin multiplicity as opposed to the high spin multiplicity in free transition metal atoms. Consequently, a proper inclusion of the spin conservation rules is needed to understand the variation of… Show more

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Cited by 65 publications
(15 citation statements)
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“…Therefore, the amount of experimental data on neutral (doped) clusters is limited. On the other hand, several theoretical studies have been conducted on bare [13][14][15][16] and transition metal doped 4,[17][18][19] neutral silicon clusters, particularly focusing on the geometry of those species. Few experimental data are available to confirm the predicted structures.…”
Section: Introductionmentioning
confidence: 99%
“…Therefore, the amount of experimental data on neutral (doped) clusters is limited. On the other hand, several theoretical studies have been conducted on bare [13][14][15][16] and transition metal doped 4,[17][18][19] neutral silicon clusters, particularly focusing on the geometry of those species. Few experimental data are available to confirm the predicted structures.…”
Section: Introductionmentioning
confidence: 99%
“…3 Somewhat analogous to the case of atoms, the quantum confinement of electrons in small compact symmetric metallic clusters also results in electronic states grouped into shells with a different sequence 1S 2 , 1P 6 , 1D 10 , 2S 2 ,… (the electronic states in clusters are labeled by uppercase letters while the atomic states are labeled by lowercase letters). [4][5][6][7][8] Like atoms, clusters with filled electronic shells lead to stable species as manifested through magic numbers 9 observed at cluster sizes containing 2, 8, 18, 20, 34, 40,… valence electrons. This analogy, originally introduced through the electronic states in a "jellium sphere" where the confined electron gas is subjected to a uniform spherical positive background of the size of the cluster, extends beyond this oversimplified model.…”
Section: Introductionmentioning
confidence: 99%
“…So in recent years, many researches focused on the TM-doped silicon cagelike clusters both experimentally [25][26][27][28][29] and theoretically. [30][31][32][33][34][35][36][37][38] In their reports, the TM atoms were found to be a good dopant to stabilize the cagelike TMSi n clusters, because of their suitable atom size and d-band filling. There are also some interesting discussions on the geometries, charge properties, magnetic properties, and electronic counting rules for the TMsilicon cagelike clusters.…”
Section: Introductionmentioning
confidence: 99%