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Title:The Ammann–Kramer–Neri tiling model of a P-ZnMgEr Bergman-type quasicrystal based on in-house X-ray diffraction
Authors:ID Buganski, Ireneusz (Author)
ID Vrtnik, Stanislav, Institut "Jožef Stefan" (Author)
ID Jelen, Andreja, Institut "Jožef Stefan" (Author)
ID Luzar, Jože, Institut "Jožef Stefan" (Author)
ID Strzalka, Radoslaw (Author)
ID Wolny, Janusz (Author)
ID Kusz, Joachim (Author)
ID Fujita, N. (Author)
Files:URL URL - Source URL, visit https://journals.iucr.org/b/issues/2026/02/00/ra5158/index.html
 
.pdf PDF - Presentation file, download (10,92 MB)
MD5: 8554E4B24A2DBCEF71CB6FD26EA16DF9
Description: Single-crystal X-ray diffraction data have been deposited in the Open Science Framework (https://osf.io/8r5bd).
 
Language:English
Typology:1.01 - Original Scientific Article
Organization:Logo IJS - Jožef Stefan Institute
Abstract:This study presents the atomic structure solution of a primitive icosahedral Zn70.83Mg20.31Er8.86 quasicrystal using in-house X-ray diffraction and the Ammann–Kramer–Neri tiling framework. The structural model with 344 parameters refined against 2674 Bragg peaks achieves a reasonable R factor of 0.1407. Both Bergman and Tsai clusters, key motifs in the quasicrystal architecture, are identified within the structure, suggesting a hybrid character that bridges traditionally distinct quasicrystal types. The Tsai clusters show positional disorder and unusually short Mg–Mg distances (∼2.3 Å), hinting at the complex nature of the bond. Despite only moderate data resolution, the model reveals phason-related features and relatively low phasonic disorder, consistent with previously modelled Zn–Mg–Tm. This work demonstrates that the tiling can reliably reproduce real atomic configurations, which supports the use of models based on the Ammann–Kramer–Neri tiling in quasicrystalline atomic structure research. The findings contribute to ongoing efforts to decode the structural diversity and physical properties of rare-earth-containing quasicrystals.
Keywords:quasicrystals, structure solution, Bergman phase, Amman-Kramer- Neli tiling
Publication status:Published
Publication version:Version of Record
Submitted for review:09.07.2025
Article acceptance date:03.01.2025
Publication date:10.02.2026
Publisher:Wiley
Year of publishing:2026
Number of pages:str. 1-11
Numbering:Part 2, Vol. 82
Source:Združeno kraljestvo
PID:20.500.12556/DiRROS-27663 New window
UDC:538.9
ISSN on article:2052-5206
DOI:10.1107/S205252062600003X New window
COBISS.SI-ID:268769283 New window
Note:Opis vira z dne 17. 2. 2026; Nasl. z nasl. zaslona; Soavtorji iz Slovenije: Stanislav Vrtnik, Andreja Jelen, Jože Luzar;
Publication date in DiRROS:18.02.2026
Views:213
Downloads:66
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Record is a part of a journal

Title:Acta crystallographica : Structural science, crystal engineering and materials
Shortened title:Acta crystallogr., B Struct. sci. cryst. eng. mater.
Publisher:Wiley-Blackwell
ISSN:2052-5206
COBISS.SI-ID:1720367 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P1-0125-2022
Name:Fizika kvantnih in funkcionalnih materialov

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:N1-0330-2024
Name:Magnetne interakcije v kvaziperiodičnih kristalih

Funder:National Science Centre Poland
Project number:2022/47/I/ST3/00340
Name:Magnetic interactions in quasiperiodic crystals

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:10.02.2026
Applies to:VoR

Secondary language

Language:Slovenian
Keywords:kvazikristali, rešitev strukture, določitev strukture, Bergmanova faza, Ammann-Kramer.Neri mozaik /tlakovanje


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