The nearly free electron model has been applied to investigate the origin of structural stability in quasi-crystalline alloys containing s, p and d elements, through an analysis of X-ray or neutron diffraction patterns. The existence of a Hume-Rothery relation and the presence of a pseudogap in the density of states near the Fermi level is discussed making reference to recent measurements of electronic properties of quasi-crystals. On the basis of the agreement between model predictions and experimental data, a specific electron phase, associated with the quasi-crystalline state, is defined. © 1992.
Ossi, P. M. (1992). Band structure influence on cohesion in quasi-crystals. Journal of Alloys and Compounds, 186(1), 153–160. https://doi.org/10.1016/0925-8388(92)90629-N