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One of the challenges of modern crystallography of complex systems (complex metallic alloys, proteins, aperiodic crystals and quasicrystals) is to properly describe the disorder in these systems and discuss correctly the refinement results in terms of the structural disorder. In this paper we briefly discuss a new approach to phasons and phonons in quasicrystals and focus on the new theory of phonons in these materials. A newly derived correction factor for phonons in the form of the Bessel function is the approximated way of describing optic modes in the phonon spectra of quasicrystals. It is applied to a real decagonal quasicrystal in the Al-Cu-Rh system with 56/38 atoms per thick/thin structural unit, based on 2092 unique reflections selected from the collected diffraction data, significantly improving the refinement results. The final R-factor value is 7.24%, which is over 0.5% better result comparing to originally reported. We believe our work will open a broader discussion on the disorder in quasicrystals (and other aperiodic systems) and motivate to develop new approaches to treat the diffraction data influenced by different types of disorder in the new way.
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291--294
Opis fizyczny
Bibliogr. 25 poz., rys., wzory
Twórcy
autor
- AGH University of Science and Technology, Faculty of Physics and Applied Computer Science, Al. Mickiewicza 30, 30-059 Kraków, Poland
autor
- AGH University of Science and Technology, Faculty of Physics and Applied Computer Science, Al. Mickiewicza 30, 30-059 Kraków, Poland
autor
- AGH University of Science and Technology, Faculty of Physics and Applied Computer Science, Al. Mickiewicza 30, 30-059 Kraków, Poland
autor
- AGH University of Science and Technology, Faculty of Physics and Applied Computer Science, Al. Mickiewicza 30, 30-059 Kraków, Poland
Bibliografia
- [1] M. de Boissieu, Chem. Soc. Rev. 41, 6778 (2012).
- [2] J. Wolny, I. Buganski, P. Kuczera, R. Strzalka, J. Appl. Cryst. 49, 2106 (2016).
- [3] H. Takakura, C. P. Gomez, A. Yamamoto, M. de Boissieu, A. P. Tsai, Nat. Mater. 6, 58-63 (2007).
- [4] P. Kuczera, W. Steurer, J. Wolny, Acta Cryst. B 68 578-689 (2012).
- [5] I. Bugański, R. Strzałka, J. Wolny, Phys. Status Solidi B 253, 450-457 (2016).
- [6] R. Strzalka, I. Buganski, J. Wolny, Crystals 6, 104 (2016).
- [7] J. Wolny, I. Bugański, R. Strzałka, Cryst. Revs. 24, 22-64 (2018).
- [8] I. Bugański, R. Strzałka, J. Wolny, Acta Cryst. A 75, 352-361 (2019).
- [9] M. de Boissieu, S. Francoual, M. Mihalkovic, K. Shibata, A.Q.R. Baron, Y. Sidis, T. Ishimasa, D. Wu, T. Lograsso, L. P. Regnault, F. Gähler, S. Tsutsui, B. Hennion, P. Bastie, T. J. Sato, H. Takakura, R. Currat, A. P. Tsai, Nat. Mater. 6, 977-984 (2007).
- [10] F. Dugain, M. de Boissieu, K. Shibata, R. Currat, T. J. Sato, A. R. Kortan, J. B. Suck, K. Hradil, F. Frey, A. P. Tsai, Eur. Phys. J. B 7, 513-516 (1999).
- [11] M. Krajci, J. Hafner, Non-Cryst. Solids 156, 887-890 (1993).
- [12] M. de Boissieu, Chem. Soc. Rev. 41, 6778-6786 (2012).
- [13] M. Mihalkovic, H. Elhor, J. B. Suck, Mat. Sci. Eng. A 294, 654-657 (2000).
- [14] A. Yamamoto, Acta Cryst. 52, 509-560 (1996).
- [15] T. Janssen, G. Chapuis, M. de Boissieu, Aperiodic Crystals, Oxford Science Publications 2007.
- [16] W. Steurer, S. Deloudi, Crystallography of Quasicrystals: Concepts, Methods and Structures, Springer Science & Business Media, 2009.
- [17] M. Baake, U. Grimm, Aperiodic Order. Volume 2: Crystallography and Almost Periodicity, Cambridge University Press 2017.
- [18] B. Kozakowski, J. Wolny, Acta Cryst. A 66, 489-498 (2010).
- [19] J. Wolny, Acta Cryst A 54, 1114-1118 (1998).
- [20] J. Wolny, B. Kozakowski, P. Kuczera, R. Strzałka, A. Wnek, Isr. J. Chem. 51, 1275-1291 (2011).
- [21] J. Wolny, B. Kozakowski, P. Kuczera, L. Pytlik, R. Strzalka, Acta Cryst. A 70, 181-185 (2014).
- [22] J. Wolny, P. Kuczera, R. Strzalka, Appl. Phys. Lett. 106, 131905 (2015).
- [23] W. Steurer, Acta Cryst. A 74, 1-11 (2018).
- [24] A. P. Tsai, A. Inoue, T. Matsumoto, Mater. Trans. JIM 30, 666-676 (1989).
- [25] L. Palatinus, G. Chapuis, J. Appl. Cryst. 40, 786-790 (2007).
Uwagi
PL
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-cbfa0294-b77c-46d7-aff9-287c3ad37fb6