Zobrazeno 1 - 10
of 70
pro vyhledávání: '"Z Papadopolos"'
Publikováno v:
Philosophical Magazine
Philosophical Magazine, Taylor & Francis, 2008, 88 (13-15), pp.2083-2093. ⟨10.1080/14786430802286963⟩
Philosophical Magazine, Taylor & Francis, 2008, 88 (13-15), pp.2083-2093. ⟨10.1080/14786430802286963⟩
International audience; In the case of the icosahedral Al-Pd-Mn we compare the STM (scanning tunnelling microscopy) image of the real fivefold surface to the STM simulations on the candidates of the fivefold bulk terminations. We make the choice, whi
Publikováno v:
Ferroelectrics. 305:21-24
Motivated by Bravais' rule, of wide validity for crystals, we introduce a maximum density rule for the surfaces of quasicrystals and use it to determine the 5-, 2- and 3-fold bulk terminations in a geometric icosahedral model of i-AlPdMn and i-AlCuFe
Autor:
G. Kasner, Z. Papadopolos
Publikováno v:
Ferroelectrics. 250:409-412
We consider canonical quasiperiodic tiling projected from a lattice T *(D6) whose window in perpendicular space is projected Voronoi cell, V⊥ , and whose tiles in parallel space are projected boundaries of Delone cells, X * ∥ six golden tetrahedr
Publikováno v:
Materials Science and Engineering: A. :355-360
The Katz–Gratias–de Boissieu–Elser (KGdeBE) model for icosahedral quasicrystals is studied in order to provide an atomic bulk model for i-Al–Pd–Mn and i-Al–Cu–Fe. We interpret the KGdeBE model as the tiling T ∗(2 F ) decorated by Berg
Autor:
Oleg Ogievetsky, Z. Papadopolos
Publikováno v:
Materials Science and Engineering: A. :385-388
We give the inflation rules for the decorated Mosseri—Sadoc tiles in the projection class of tilings T ( MS ) . Dehn invariants related to the stone inflation of the Mosseri–Sadoc tiles provide eigenvectors of the inflation matrix with eigenvalue
Publikováno v:
Discrete Mathematics. 221(1-3):101-112
The tiles of the canonical tilings T ∗(2F) are six tetrahedra. We determine their inflation rules by the projection method.
Publikováno v:
Physical Review B. 60:3899-3907
A Fibonacci-like terrace structure along a 5fold axis of i-Al(68)Pd(23)Mn(9) monograins has been observed by T.M. Schaub et al. with scanning tunnelling microscopy (STM). In the planes of the terraces they see patterns of dark pentagonal holes. These
Publikováno v:
Journal of Physics: Condensed Matter. 11:2729-2748
Surfaces in i-Al68Pd23Mn9 as observed with STM and LEED experiments show atomic terraces in a Fibonacci spacing. We analyze them in a bulk tiling model due to Elser which incorporates many experimental data. The model has dodecahedral Bergman cluster
Publikováno v:
Journal of Physics A: Mathematical and General. 30:6493-6507
We examine the two canonical quasicrystal tilings for the icosahedral F-phase from the point of view of Meyer's theory of -duals. Using this we develop all the steps of an algorithm for creating the vertex sets of these tilings by outward growth from
Publikováno v:
Journal of Physics A: Mathematical and General. 30:L143-L147
The cell geometry of the six-dimensional bcc lattice is investigated. Via klotz construction two different classes of icosahedrally projected quasiperiodic tilings are defined. For both cases we determine the acceptance domains of tiles and give a de