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The space groups of orthorhombic approximants to the icosahedral quasilattice

K Niizeki

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The space groups of the orthorhombic approximant lattices to the primitive icosahedral quasilattice are classified. There exist three Bravais classes: Pmmm, Cmmm and Immm. The basis vectors of the Bravais lattice of an approximant are parallel to two-, three- and/or fivefold axes of the quasilattice. It is found that there exist many nonsymmorphic space groups with a common Bravais lattice in addition to symmorphic ones. This is because glides commonly appear.


PACS

61.44.Br Quasicrystals

61.50.Ah Theory of crystal structure, crystal symmetry; calculations and modeling

MSC

52C23 Quasicrystals, aperiodic tilings

Subjects

Condensed matter: structural, mechanical & thermal

Dates

Issue 7 (7 April 1992)



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