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Coloring, Distortions, and Puckering in Selected Intermetallic Structures from the Perspective of Group‐Subgroup Relations
Author(s) -
Pöttgen Rainer
Publication year - 2014
Publication title -
zeitschrift für anorganische und allgemeine chemie
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 66
eISSN - 1521-3749
pISSN - 0044-2313
DOI - 10.1002/zaac.201400023
Subject(s) - intermetallic , group (periodic table) , crystallography , feal , symmetry (geometry) , materials science , space (punctuation) , diffraction , combinatorics , chemistry , mathematics , physics , geometry , metallurgy , computer science , quantum mechanics , alloy , operating system
Abstract Group‐subgroup relations are a compact and concise tool for structure systemization. The present review summarizes the use of Bärnighausen trees for classification of intermetallic structures into structural families. The overview starts with group‐subgroup relationships between the structures of the metallic elements (W, In, α‐Po, β‐Po, Pa, α‐Sn, β‐Sn) followed by examples for ordered close‐packed arrangements that derive from fcc , hcp , and bcc subcells (e.g. CuAu, Cu 3 Au, MoNi 4 , ZrAl 3 , FeAl, MoSi 2 ). The main focus lies on more complex structures that derive from aristotypes with comparatively high space group symmetry: AlB 2 , Fe 2 P, U 3 Si 2 , BaAl 4 , La 3 Al 11 , NaZn 13 , CaCu 5 , and Re 3 B. The symmetry reductions arise from coloring of sites with different atoms or from distortions / puckering due to size restrictions (different radii of atoms). The resulting superstructures are discussed along with the consequences for diffraction experiments, chemical bonding, and physical properties.