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The RE M E Phases
Author(s) -
Bojin Mihaela D.,
Hoffmann Roald
Publication year - 2003
Publication title -
helvetica chimica acta
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.74
H-Index - 82
eISSN - 1522-2675
pISSN - 0018-019X
DOI - 10.1002/hlca.200390141
Subject(s) - stacking , chemistry , context (archaeology) , crystallography , diamond , planar , type (biology) , simple (philosophy) , unit (ring theory) , sketch , topology (electrical circuits) , combinatorics , computer science , mathematics , algorithm , computer graphics (images) , paleontology , ecology , philosophy , organic chemistry , epistemology , biology , mathematics education
In the second contribution on the RE M E phases, we enumerate the distinct networks resulting from the stacking in an eclipsed fashion of graphitic and puckered layers. Specifically, we derive all the distinct hypothetical lattices for up to N =7 layers per unit cell for planar (graphitic) sheets, and up to N =10 for slightly puckered layers. For the networks with slightly puckered layers, there can be only an even number of layers/unit cell, N. Additionally, we formulate an empirical rule for network stability: the structure should have either a mirror plane or a twin operation (mirror plane, followed by a color change) bisecting it half‐way up the stacking axis. Using these simple principles, from the original multitude of 2 N −1 structures for a given N , we are able to significantly narrow down the number of potential combinations. Thus, for N =2, we find two nets, for N =4, one, for N =6, two, for N =8, there are no such viable arrangements, and for N =10, we exclude all but two distinct lattices. We sketch further guidelines to continue the enumeration for higher N s. We also propose an ‘overlapping' Aufbau , by which more‐complex structures are derived from the smaller, basic ones. In the last part, we analyze the eclipsed stacking of diamond‐type layers; the resulting networks are analogous (in sequencing) to those determined for slightly puckered sheets. The networks formed from staggered diamond‐type layers are briefly discussed in the context of the related SiC polytypes.

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