Abstract
Quasiperiodic structures are generalisations of periodic structures.1) Whereas in the latter the support of the Fourier spectrum is a lattice, the positions of the diffraction peaks in a quasiperiodic structure are integral linear combinations of an arbitrary finite number of basis vectors. Therefore, the diffraction vectors are of the form
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References
T. Janssen and A. Janner, Incommensurability in Crystals, Adv.Phys. 36:519 (1987)
R. Currat and T. Janssen, Excitations in Incommensurate Crystal Phases, in: Solid State Physics, Vol.41, H. Ehrenreich and D. Turnbull, eds., Academic Press, San Diego (1988)
C. de Lange and T. Janssen, Incommensurability and recursivity: lattice dynamics of modulated crystals , J .Phys .C, 14: 5269 (1981)
T. Janssen and M. Kohmoto, Multifractal spectral and wave-function properties of the quasiperiodic modulated spring model, Phys. Rev. B, 38: 5811 (1988)
T. Fujiwara, M. Kohmoto and T. Tokihiro, Multifractal wave functions of Fibonacci lattice, Technical Report ISSP , October (1988)
F. Axel, J.P. Allouche, M. Kleman, M. Mendes-France and J. Peyriere, Vibrational modes in a one-dimensional quasi-alloy, J. de Physique Collogue, C3,1986:181
M. Kohmoto , Entropy function for multifractals, Phys. Rev. A, 37: 1345 (1988)
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Janssen, T. (1990). Phonons in Quasicrystals and Related Structures. In: Tolédano, JC. (eds) Geometry and Thermodynamics. NATO ASI Series, vol 229. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3816-5_34
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DOI: https://doi.org/10.1007/978-1-4615-3816-5_34
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