We discuss thephysical properties of a non interacting electron gas constrained to a spherical surface. In particular we consider its chemical potentials, its ionization potential,and its electric static polarizability. All these properties are discussed analytically as functions of the number N of electrons. The trends obtained with increasing N are compared with those of the corresponding properties experimentally measured or theoretically evaluated for quasi spherical hollow atomic and molecular clusters. Most of the properties investigated display similar trends, characterized by a prominence of shell effects. This leads to the definition of a scale-invariant distribution of magic numbers which follows a power law with critical exponent−0.5. We conclude that our completely mechanistic and analytically tractable model can be useful for the analysis of self-assembling complex systems.

Cricchio, D., Fiordilino, E., Persico, F.S. (2012). Electrons on a spherical surface: Physical properties and hollow spherical clusters. PHYSICAL REVIEW A, 86, 0132011-0132017 [10.1103/PhysRevA.86.013201].

Electrons on a spherical surface: Physical properties and hollow spherical clusters

CRICCHIO, Dario;FIORDILINO, Emilio;PERSICO, Francesco Saverio
2012-01-01

Abstract

We discuss thephysical properties of a non interacting electron gas constrained to a spherical surface. In particular we consider its chemical potentials, its ionization potential,and its electric static polarizability. All these properties are discussed analytically as functions of the number N of electrons. The trends obtained with increasing N are compared with those of the corresponding properties experimentally measured or theoretically evaluated for quasi spherical hollow atomic and molecular clusters. Most of the properties investigated display similar trends, characterized by a prominence of shell effects. This leads to the definition of a scale-invariant distribution of magic numbers which follows a power law with critical exponent−0.5. We conclude that our completely mechanistic and analytically tractable model can be useful for the analysis of self-assembling complex systems.
Settore FIS/02 - Fisica Teorica, Modelli E Metodi Matematici
Settore FIS/03 - Fisica Della Materia
Cricchio, D., Fiordilino, E., Persico, F.S. (2012). Electrons on a spherical surface: Physical properties and hollow spherical clusters. PHYSICAL REVIEW A, 86, 0132011-0132017 [10.1103/PhysRevA.86.013201].
File in questo prodotto:
File Dimensione Formato  
Cricchio_Fiordilino_Persico_Phys_Rev_A86_013201(2012).pdf

accesso aperto

Descrizione: published paper
Dimensione 623.34 kB
Formato Adobe PDF
623.34 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/72343
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 16
  • ???jsp.display-item.citation.isi??? 13
social impact