V. Fournee et al., STUDY OF AL-CU HUME-ROTHERY ALLOYS AND THEIR RELATIONSHIP TO THE ELECTRONIC-PROPERTIES OF QUASI-CRYSTALS, Journal of physics. Condensed matter, 10(19), 1998, pp. 4231-4244
The stability of quasicrystals is related to the Hume-Rothery mechanis
m known to take place in many intermetallics, especially Al-Cu alloys.
In order to assess to what extent the electronic density of states in
aperiodic Al-Cu-Fe compounds is sensitive to Hume-Rothery stabilizati
on, we present experimental measurements by soft x-ray emission and ab
sorption spectroscopies of the aluminium electronic states in a series
of Al-Cu crystalline compounds. Some of them, like icosahedral Al-Cu-
Fe, are characterized by nearly spherical Brillouin zones. We observe
the opening of a narrow but definite pseudo-gap in such Al-Cu compound
s. We point out a strong interaction between Cu d states and the Al st
ates in the middle of the valence band which is well described by a Fa
no-like effect. Some other characteristic features of our spectra are
interpreted on the basis of band structure calculations. A comparison
to previous data published for quasicrystalline and approximant phases
stresses the importance for the stability of these compounds of spd h
ybridization at the Fermi level. It also leads to the conclusion that
the effect of Hume-Rothery interaction is dramatically enhanced by the
hierarchical structure of quasicrystals rather than by the almost sph
erical shape of the Brillouin zone.