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QUASIPERIODIC SEQUENCE [1 record]

Record 1 2000-06-21

English

Subject field(s)
  • Physics of Solids
CONT

To produce a quasiperiodic sequence, the strip must be tilted with respect to the lattice so that it has a slope equal to an irrational number. (A number is irrational if, when expressed as a decimal, no set of consecutive digits repeats itself indefinitely ...). If the points that are covered by the strip are then projected onto a line parallel to the strip, the projected points will divide the line into a quasiperiodic sequence of long and short segments. ... the quasiperiodic sequence produces a sequence of periodicity of the two-dimensional parent lattice.

French

Domaine(s)
  • Physique des solides
CONT

Pour faire une suite quasi périodique, on doit incliner la bande par rapport au réseau pour que sa pente soit égale à un nombre irrationnel; un nombre irrationnel ne peut s'écrire comme le quotient de deux nombres entiers. Si l'on projette les points recouverts par la bande sur une ligne parallèle à cette bande, les points projetés divisent la ligne en une suite quasi périodique de segments longs et courts. [Une] suite quasi périodique produit une figure de diffraction nette et très régulière, conséquence de la périodicité du réseau bidimensionnel original.

Spanish

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