Analytic expressions for the vertex coordinates of quasiperiodic lattices

Zeitschrift fur Kristallographie

Volumn 218, Issue 6, 2003, Pages 397-402

  Naumis, G G ^a   Aragon J L ^b  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b CENTRO DE FÍSICA APLICADA Y TECNOLOGÍA AVANZADA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; CRYSTAL STRUCTURE; DIFFRACTION; PERIODICITY;

EID: 0042810828     PISSN: 00442968     EISSN: None     Source Type: Journal    
DOI: 10.1524/zkri.218.6.397.20728     Document Type: Article

References (10)

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3. Socolar, J. E. S.; Steinhardt, P. J.: Quasicrystals. II. Unit-cell configurations. Phys. Rev. B34 (1986) 617-647.
4. Bohr, H.: Almost periodic functions. Chelsea, New York 1951.
5. de Bruijn, N. G.: Algebraic theory of Penrose's non-periodic tilings of the plane. Nederl. Akad. Wetensch. Proceedings Ser. A84 (1981) 38-66.
6. Gähler, F.; Rhyner, J.: Equivalence of the generalised grid and projection methods for the construction of quasiperiodic tilings. J. Phys. A: Math. Gen. 19 (1986) 267-277.
7. Aragón, J. L.; Gómez, A.; Vázquez-Polo, G.: A general cut and projection computational algorithm to construct quasilattices and their diffraction patterns. In: Quasicrystals and Incommensurate structures in Condensed Matter. (Eds. José-Yacamán, M.; Romeu, D.; Castanõ, V. M.; Gómez, A.), p. 180-188. World Scientific, Singapore 1990.
8. Vogg, U.; Ryder, P. L.: A general algorithm for generating quasiperiodic lattices by the strip projection method. J. Non-Cryst. Solids 194 (1996) 135-144.
9. Janot. C.: Quasicrystals: A primer. Oxford University Press, Oxford, 1994.
10. Aragón, J. L.; Naumis, Gerardo G.; Torres, M.: A multigrid approach to the average lattices of quasicrystals. Acta Crystallogr. A36 (2002) 352-360.