Refined hierarchy of vertices in icosahedral quasicrystals

S. I. Ben-Abraham; A. Joseph; E. Berman

doi:10.1016/0022-3093(93)90330-Z

Refined hierarchy of vertices in icosahedral quasicrystals

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Abstract

Imperfect icosahedral quasicrystals are assumed to grow obeying a local rule forcing the twin orientation of like building blocks. The resultant vertex configurations are classified by their energies determined by calculating partial overlaps in their dual images. A previously established hierarchy which took into account only pairs of tiles sharing a face is refined by calculating overlaps of higher orders, in particular, between triples sharing an edge.

Original language	English
Pages (from-to)	137-139
Number of pages	3
Journal	Journal of Non-Crystalline Solids
Volume	153-154
Issue number	C
DOIs	https://doi.org/10.1016/0022-3093(93)90330-Z
State	Published - 2 Feb 1993

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Ceramics and Composites
Condensed Matter Physics
Materials Chemistry

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10.1016/0022-3093(93)90330-Z

Cite this

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title = "Refined hierarchy of vertices in icosahedral quasicrystals",

abstract = "Imperfect icosahedral quasicrystals are assumed to grow obeying a local rule forcing the twin orientation of like building blocks. The resultant vertex configurations are classified by their energies determined by calculating partial overlaps in their dual images. A previously established hierarchy which took into account only pairs of tiles sharing a face is refined by calculating overlaps of higher orders, in particular, between triples sharing an edge.",

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AU - Joseph, A.

AU - Berman, E.

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N2 - Imperfect icosahedral quasicrystals are assumed to grow obeying a local rule forcing the twin orientation of like building blocks. The resultant vertex configurations are classified by their energies determined by calculating partial overlaps in their dual images. A previously established hierarchy which took into account only pairs of tiles sharing a face is refined by calculating overlaps of higher orders, in particular, between triples sharing an edge.

AB - Imperfect icosahedral quasicrystals are assumed to grow obeying a local rule forcing the twin orientation of like building blocks. The resultant vertex configurations are classified by their energies determined by calculating partial overlaps in their dual images. A previously established hierarchy which took into account only pairs of tiles sharing a face is refined by calculating overlaps of higher orders, in particular, between triples sharing an edge.

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AN - SCOPUS:0027904623

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Refined hierarchy of vertices in icosahedral quasicrystals

Abstract

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