Distinguishing quasiperiodic from random order in high-resolution TEM images

Joseph, Dieter; Ritsch, S.; Beeli, C.

doi:10.1103/physrevb.55.8175

Cited by 52 publications

(46 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…described by a disordered cluster decorating a highly perfect pentagonal Penrose tiling, while all other d-phases could be better described by cluster-decorated random tilings (Joseph, Ritsch, Beeli, 1997). The order inside of the clusters of these d-phases appeared higher and a doubling of the period along the tenfold axis was indicated on SAED patterns by diffuse interlayer lines.…”

Section: Phase Equilibriamentioning

confidence: 94%

“…An automated approach for the analysis of HRTEM images of QC was developed by Soltmann, Beeli (2001) based on previous work of Joseph , Ritsch, Beeli (1997). This technique should be used to match tilings to the observed contrasts in an unbiased way.…”

Section: Hrtem (High-resolution Transmission Electron Microscopy)mentioning

confidence: 99%

“…The order inside of the clusters of these d-phases appeared higher and a doubling of the period along the tenfold axis was indicated on SAED patterns by diffuse interlayer lines. Concerning the tiling analysis by Joseph, Ritsch, Beeli (1997) one has to keep in mind, however, that HRTEM images showing only 150-300 cluster ring contrasts leave some uncertainty about the significance of such an analysis to distinguish between different quasiperiodic tilings and to determine their degree of order. In the superstructures of type I and II, the pentagonal clusters were found to be ordered antiparallel along % 20 A linkages.…”

Section: Phase Equilibriamentioning

confidence: 99%

See 2 more Smart Citations

Twenty years of structure research on quasicrystals. Part I. Pentagonal, octagonal, decagonal and dodecagonal quasicrystals

Steurer¹

2004

Zeitschrift Für Kristallographie - Crystalline Materials

244

102

View full text Add to dashboard Cite

Is quasicrystal structure analysis a never-ending story? Why is still not a single quasicrystal structure known with the same precision and reliability as structures of regular periodic crystals? What is the state-of-the-art of structure analysis of axial quasicrystals? The present comprehensive review summarizes the results of almost twenty years of structure analysis of axial quasicrystals and tries to answer these questions as far as possible. More than 2000 references have been screened for the most reliable structural models of pentagonal, octagonal, decagonal and dodecagonal quasicrystals. These models, mainly based on diffraction data and/or on bulk and surface microscopic images are critically discussed together with the limits and potentialities of the respective methods employed.

show abstract

Section: Phase Equilibriamentioning

confidence: 94%

Section: Hrtem (High-resolution Transmission Electron Microscopy)mentioning

confidence: 99%

Section: Phase Equilibriamentioning

confidence: 99%

See 1 more Smart Citation

Twenty years of structure research on quasicrystals. Part I. Pentagonal, octagonal, decagonal and dodecagonal quasicrystals

Steurer¹

2004

Zeitschrift Für Kristallographie - Crystalline Materials

244

102

View full text Add to dashboard Cite

show abstract

“…Up to now only equilibrium random tilings have been produced by the Monte-Carlo-method and have been studied intensively. The lifting of the quasilattice points obtained from HREM pictures (see for example [5]) shows that the acceptance domains differ from the ones obtained from equilibrium random tilings. They are not isotropic in general, but have preferred directions.…”

Section: Introductionmentioning

confidence: 98%

Generation of Non-Equilibrium Random Tilings and Their Characterization

Ebinger

Roth

Trebin

1998

phys. stat. sol. (b)

View full text Add to dashboard Cite

show abstract

“…However, if a parallel set of flat atomic layers (quasilattice planes) is oriented exactly parallel or perpendicular to the incident electron beam, then the electron micrographs show rather easily interpretable structural features. For an objective method for the identification of the LRO of clusters from high-resolution transmission electron microscopy (HRTEM) images see Joseph et al (1997).…”

Section: Electron Microscopymentioning

confidence: 99%

Quasicrystals: What do we know? What do we want to know? What can we know?

Steurer

2018

Acta Crystallogr A Found Adv

101

View full text Add to dashboard Cite

More than 35 years and 11 000 publications after the discovery of quasicrystals by Dan Shechtman, quite a bit is known about their occurrence, formation, stability, structures and physical properties. It has also been discovered that quasiperiodic self-assembly is not restricted to intermetallics, but can take place in systems on the meso-and macroscales. However, there are some blank areas, even in the centre of the big picture. For instance, it has still not been fully clarified whether quasicrystals are just entropy-stabilized high-temperature phases or whether they can be thermodynamically stable at 0 K as well. More studies are needed for developing a generally accepted model of quasicrystal growth. The state of the art of quasicrystal research is briefly reviewed and the main as-yet unanswered questions are addressed, as well as the experimental limitations to finding answers to them. The focus of this discussion is on quasicrystal structure analysis as well as on quasicrystal stability and growth mechanisms.

show abstract

Distinguishing quasiperiodic from random order in high-resolution TEM images

Cited by 52 publications

References 22 publications

Twenty years of structure research on quasicrystals. Part I. Pentagonal, octagonal, decagonal and dodecagonal quasicrystals

Twenty years of structure research on quasicrystals. Part I. Pentagonal, octagonal, decagonal and dodecagonal quasicrystals

Generation of Non-Equilibrium Random Tilings and Their Characterization

Quasicrystals: What do we know? What do we want to know? What can we know?

Contact Info

Product

Resources

About