Decagonal quasicrystals

Interest in physical properties of quasicrystals is growing. Thus, a recent comment (Thiel and Dubois 2000) analyses the implications of the fact that decagonal quasicrystals have very much higher electrical resistivity, by orders of magnitude, than do their constituent metals, and moreover that resistivity decreases with rising temperature. For one thing, it seems that the concentration of highly mobile free electrons is much lower in such quasicrystals than in normal metals. 

So-called Icosahedral and Decagonal Quasicrystals Are Twins of an 820-Atom Cubic Crystal... 

Kortan, A. R., Becker, R. S., Theil, F. A., and Chen, H. S. (1990). Real-space atomic structure of a two-dimensional decagonal quasicrystal. Phys. Rev. Lett. 64,... 

L. Pauling, So-called icosahedral and decagonal quasicrystals are twins of an 820-atom cubic crystal. Phys. Rev. Lett. 58, 365-368 (1987). 

L. Pauling, Evidence from x-ray and neutron powder diffraction patterns that the so-called icosahedral and decagonal quasicrystals of MNA16 and other alloys are twinned cubic crystals. Proc. Natl. Acad. Sd. (USA) 84, 3951-3953 (1987). 

L. Pauling, Icosahedral and decagonal quasicrystals as multiple twins of cubic crystals, in Extended Icosahedral Structures (Aperiodidty and Order, Vol. 3), M. V. Jaric and D. Gratias, eds., Academic Press, New York, 1989, pp. 137-162. 

Icosahedral and decagonal quasicrystals of intermetallic compounds are multiple twins of cubic or orthorhombic crystals composed of very large atomic complexes with icosahedral point-group symmetry in cubic close packing Structure of decagonal AlePd. Proc. Natl. Acad. Sci. 86 (1989) 9637-9641. 

Abe, H., Yamamoto, K., Matsuoka, S. Matsuo, Y. (2007a) Atomic short-range order in an Al72Nii8Feio decagonal quasicrystal studied by anomalous x-ray scattering, J. Phys. Condens. Matter Vol. 19 466201-14. 

Aud] Audier, M., Durand-Charre, M., Laclau, E., Klein, H., Phase EquiUbria in the Al-Cr System , J. Alloys Compd., 220, 225-230 (1995) (Crys. Stracture, Experimental,, 17) [1995Li] Li, X.Z., Dong, C., Dubois, J.M., Structural Study of Crystalline Approximants of the Al-Cu-Fe-Cr Decagonal Quasicrystal , J. Appl. Crystallogr., 28(2), 96-104 (1995) (Crys. Stracture, Experimental, 16)... 

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