ECT and magic numbers

Effective interactions and magic numbers

Takaharu Otsuka,∗1,∗2 Yutaka Utsuno,∗3 Rintaro Fujimoto,∗1 B. Alex Brown,∗4 Michio Honma,∗5 and Takahiro Mizusaki∗6 ∗1Department of Physics, University of Tokyo ∗2RI Beam Science Laboratory, RIKEN ∗3Japan Atomic Energy Research Institute ∗4National Superconducting Cyclotron Laboratory, Michigan State University, USA ∗5Center for Mathematical Sciences, University of Aizu ∗6Department of Law, Sen...

Magic Numbers in Protein Structures.

Magic numbers of silicon clusters.

A structural model for intermediate sized silicon clusters is proposed that is able to generate unique structures without any dangling bonds. This structural model consists of bulk-like core of five atoms surrounded by fullerene-like surface. Reconstruction of the ideal fullerene geometry results in the formation of crown atoms surrounded by π-bonded dimer pairs. This model yields unique struct...

Magic Numbers in Polygonal and Polyhedral Clusters

Certain values for the nuclearity of clusters tend to occur more frequently than others. This paper gives a mathematical derivation of the preferred values of nuclearity (the “magic numbers”) corresponding to various symmetrical, close-packed polygons (in two dimensions) and polyhedra (in three dimensions). Simple general formulas are obtained for the numbers of atoms in these clusters. Explici...

Magic Numbers, Planetary Tones and the Body:

This paper was inspired by personal practice of the Daoist hermit One Cloud’s Seven Inner Alchemy Formulas for Immortality. In the first three formulas, an energy body is developed and within it the lesser and greater elixir (dan) is cultivated, Sound is an essential tool in this process, beginning with the Six Healing Sounds which are gradually interiorized in Fusion of the Five Elements. A lo...