Some new aspects of the characterization of Miller, Laue and directions indices for centred lattices

• Autorzy: Michalski Edward

Identyfikatory

DOI

10.24425/bpasts.2022.143109

• Języki publikacji: EN

Abstrakty

EN

A review of the Miller, Laue and direction indices characterization was made. Excluding or allowing non-coprime indices, depending on whether the lattice is primitive or centred, were compared. The solution of the “spacing counting problem for centred lattices was proposed. It was shown that for centred lattices: (1) Laue indices nh nk nl can represent not only n-th order diffraction on (hkl) planes, but also the first order diffraction from a family of planes (nh nk nl); (2) “integral reflection conditions” are necessary, but not sufficient for the existence of given Miller indices. “Integral reflection conditions” for Laue indices hkl and other “conditions for Miller indices” (hkl) were distinguished. It was shown that in the case of centred lattices, the inference based on the value of n obtained from the equation of lattice planes, may not be correct. The homogeneity of the centred reciprocal lattices has been clarified. “Simple cubic cell with a base” as a choice of unit cell proposed by “general rule” was contrasted with: “unit cell, if not centred, must be the smallest one”. “Integral reflection conditions” for Laue indices and other, new “conditions for Miller indices”, resulting from transformation of centred lattices to unconventional primitive ones have been proposed. Examples of the not correct use of indices in the morphology and diffraction pattern descriptions were shown.

Słowa kluczowe

EN

Miller indices; Laue indices; direction indices; centred lattices

PL

wskaźniki Millera; wskaźniki Lauego; wskaźniki kierunku; kraty wyśrodkowane

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2022
• Tom: Vol. 70, nr 5
• Strony: art. no. e143109
• Opis fizyczny: Bibliogr. 37 poz.

Twórcy

autor

Michalski Edward

• Institute of Optoelectronics, Military University of Technology, Gen. Sylwestra Kaliskiego 2, 00-908 Warsaw, Poland

• https://orcid.org/0000-0002-5292-7030

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).