115 citations · 280 across the 9 of their papers we have counts for
9 papers
Thick atomic layers of maximum density as bulk terminations of quasicrystals
Zorka Papadopolos, Gerald Kasner
The clean surfaces of quasicrystals, orthogonal to the directions of the main symmetry axes, have a terrace-like appearance. We extend the Bravais' rule for crystals to quasicrysta…
A maximum density rule for surfaces of quasicrystals
Z. Papadopolos, P. Pleasants, G. Kasner +6
A rule due to Bravais of wide validity for crystals is that their surfaces correspond to the densest planes of atoms in the bulk of the material. Comparing a theoretical model of i…
Bulk Termination of the Quasicrystalline Five-Fold Surface of Al_{70}Pd_{21}Mn_{9}
Z. Papadopolos, G. Kasner, J. Ledieu +7
The structure of the Al_{70}Pd_{21}Mn_{9} surface has been investigated using high resolution scanning tunnelling microscopy (STM). From two large five-fold terraces on the surface…
Tiling of the five-fold surface of Al(70)Pd(21)Mn(9)
J. Ledieu, R. McGrath, R. D. Diehl +4
The nature of the five-fold surface of Al(70)Pd(21)Mn(9) has been investigated using scanning tunneling microscopy. From high resolution images of the terraces, a tiling of the sur…
On Inflation Rules for Mosseri-Sadoc Tilings
Zorka Papadopolos, Oleg Ogievetsky
We give the inflation rules for the decorated Mosseri-Sadoc tiles in the projection class of tilings . Dehn invariants related to the stone inflation of the Mosser…
On Quasiperiodic Space Tilings, Inflation and Dehn Invariants
Oleg Ogievetsky, Zorka Papadopolos
We introduce Dehn invariants as a useful tool in the study of the inflation of quasiperiodic space tilings. The tilings by ``golden tetrahedra'' are considered. We discuss how the…