Abstract
We use a perturbative semiclassical trace formula to calculate the three lowest-order multipole (quadrupole epsilon(2), octupole epsilon(3), and hexadecapole epsilon(4)) deformations of simple metal clusters with 90 less than or equal to N less than or equal to 550 atoms in their ground states. The self-consistent mean field of the valence electrons is modeled by an axially deformed cavity and ...
Abstract
We use a perturbative semiclassical trace formula to calculate the three lowest-order multipole (quadrupole epsilon(2), octupole epsilon(3), and hexadecapole epsilon(4)) deformations of simple metal clusters with 90 less than or equal to N less than or equal to 550 atoms in their ground states. The self-consistent mean field of the valence electrons is modeled by an axially deformed cavity and the oscillating part of the total energy is calculated semiclassically using the shortest periodic orbits. The average energy is obtained from a liquid-drop model adjusted to the empirical bulk and surface properties of the sodium Metal. We obtain good qualitative agreement with the results of quantum-mechanical calculations using Strutinsky's shell-correction method. (C) 2002 Elsevier Science B.V. All rights reserved.
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