Simplified semiclassical theory for the electronic shell structure of metallic clusters

1992 ◽  
Vol 25 (1) ◽  
pp. 87-94 ◽  
Author(s):  
P. Stampfli ◽  
K. H. Bennemann
Keyword(s):  
Shell Structure ◽  
Semiclassical Theory ◽  
Metallic Clusters ◽  
Electronic Shell

THEORY FOR THE ELECTRONIC SHELL STRUCTURE IN MESOSCOPIC SYSTEMS: SPHERES, DISCS, AND RINGS

1996 ◽  
Vol 03 (01) ◽  
pp. 293-297
Author(s):  
P. STAMPFLI ◽  
K.H. BENNEMANN ◽  
B. TATIEVSKI
Keyword(s):  
Shell Structure ◽  
Size Dependence ◽  
Numerical Solutions ◽  
Quantum Mechanical ◽  
Semiclassical Theory ◽  
Electronic Shell ◽  
Asymptotic Size ◽  
Quantum Mechanical Effects ◽  
Analytical Expressions ◽  
Good Agreement

The electronic shell structure resulting from the interference of closed orbital paths is determined for spheres, discs, and rings using the semiclassical theory of Balian and Bloch. The effect of finite surface potentials and magnetic fields is discussed. We obtain analytical expressions for the oscillating structure in the density of states, which are in good agreement with numerical solutions of the Schrödinger equation. These results can be applied to the electronic shell structure of metallic clusters, including the asymptotic size dependence of the structure in the ionization potential and the cohesive energy. Dimensional quantum-mechanical effects are examined.

ANALYTICAL THEORY FOR THE TEMPERATURE DEPENDENT ELECTRONIC SHELL STRUCTURE OF METALLIC CLUSTERS

1992 ◽  
Vol 06 (23n24) ◽  
pp. 3773-3777
Author(s):  
P. Stampfli ◽  
K.H. Bennemann
Keyword(s):  
Ionization Potential ◽  
Shell Structure ◽  
Cohesive Energy ◽  
Cluster Size ◽  
Quantitative Agreement ◽  
Shell Effect ◽  
Temperature Dependent ◽  
Good Quantitative Agreement ◽  
Metallic Clusters ◽  
Electronic Shell

We present a theory for the electronic shell structure of large metallic clusters. Analytical results are given for the dependence of the shell effect on the cluster size and temperature. In particular, we present results for the shell effect in the cohesive energy and ionization potential. A good quantitative agreement with previous numerical calculations and with experiments on Na clusters is obtained.

Electronic shell structure in large metallic clusters

1990 ◽  
Vol 65 (6) ◽  
pp. 748-751 ◽  
Author(s):  
H. Göhlich ◽  
T. Lange ◽  
T. Bergmann ◽  
T. P. Martin
Keyword(s):  
Shell Structure ◽  
Metallic Clusters ◽  
Electronic Shell

Electronic shell structure in clusters as reflected in mass abundance spectra

1999 ◽  
Vol 79 (9) ◽  
pp. 1321-1342
Author(s):  
Svenbjo Rnholm, Jo Rnborggreen
Keyword(s):  
Shell Structure ◽  
Electronic Shell

ChemInform Abstract: Electronic Shell Structure in Monoxides and Dioxides of Sodium

ChemInform ◽  
2010 ◽  
Vol 31 (17) ◽  
pp. no-no
Author(s):  
Simon D. Elliott ◽  
Reinhart Ahlrichs
Keyword(s):  
Shell Structure ◽  
Electronic Shell

Correlation between mass distributions of zinc, cadmium clusters and electronic shell structure

1986 ◽  
Vol 69 (1) ◽  
pp. 109-114 ◽  
Author(s):  
I. Katakuse ◽  
T. Ichihara ◽  
Y. Fujita ◽  
T. Matsuo ◽  
T. Sakurai ◽  
...  
Keyword(s):  
Shell Structure ◽  
Electronic Shell ◽  
Mass Distributions ◽  
Zinc Cadmium

Electronic shell structure in monoxides and dioxides of sodium

2000 ◽  
Vol 2 (3) ◽  
pp. 313-318 ◽  
Author(s):  
Simon D. Elliott ◽  
Reinhart Ahlrichs
Keyword(s):  
Shell Structure ◽  
Electronic Shell
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