Magic number 32 and 90 of metal clusters: A shell jellium model study

Motivated by the recent discovery of cage-like metal clusters, a shell jellium model is proposed to study the stability of cage-like clusters, using the density functional theory (DFT) with local density approximation (LDA). Based on the shell jellium model, it is found that certain metal clusters of a special number of electrons are even more stable than the sphere-like clusters described by the conventional spherical jellium model. The result shows two new magic numbers 32 and 90. These results provide us with a straightforward explanation for the stability of 32-electron clusters.