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Generalized Edshammar Polyhedra for the Description of a Family of Solid‐State Structures
Author(s) -
Lidin Sven,
Popp Thomas,
Somer Mehmet,
von Schnering Hans Georg
Publication year - 1992
Publication title -
angewandte chemie international edition in english
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.831
H-Index - 550
eISSN - 1521-3773
pISSN - 0570-0833
DOI - 10.1002/anie.199209241
Subject(s) - polyhedron , dual polyhedron , component (thermodynamics) , sketch , combinatorics , class (philosophy) , mathematics , crystallography , pure mathematics , physics , computer science , chemistry , thermodynamics , algorithm , artificial intelligence
A new class of space‐filling polyhedra does yeoman's service in the description of solid‐state structures. In this method the atoms of the minority component are considered as quasi‐isolated units located in the interstices of close‐packed polyhedra consisting of atoms of the majority component. These polyhedra are in a certain sense fragments of a body‐centered cubic packing of spheres. They are based on interpenetrating cubes. The sketch shows the polyhedron for three such cubes.