Hierarchy of vertices in imperfect icosahedral quasicrystals

S. I. Ben-Abraham; A. Joseph

doi:10.1080/01411599308210256

Hierarchy of vertices in imperfect icosahedral quasicrystals

S. I. Ben-Abraham, A. Joseph

Department of Physics

Research output: Contribution to journal › Article › peer-review

Abstract

Imperfect icosahedral quasicrystals are assumed to grow obeying a local rule which imposes the twin orientation of like building blocks. The vertex configurations and their representations are briefly discussed. The vertices are classified by their abundances and energies determined according to a simple model taking account of nearest-neighbour interactions and calculating the corresponding overlap volumes in dual space.

Original language	English
Pages (from-to)	51-57
Number of pages	7
Journal	Phase Transitions
Volume	44
Issue number	1-3
DOIs	https://doi.org/10.1080/01411599308210256
State	Published - 1 Jun 1993

Keywords

Quasicrystals
classification by abundancy and energy
vertex configurations

ASJC Scopus subject areas

Instrumentation
General Materials Science

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10.1080/01411599308210256

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title = "Hierarchy of vertices in imperfect icosahedral quasicrystals",

abstract = "Imperfect icosahedral quasicrystals are assumed to grow obeying a local rule which imposes the twin orientation of like building blocks. The vertex configurations and their representations are briefly discussed. The vertices are classified by their abundances and energies determined according to a simple model taking account of nearest-neighbour interactions and calculating the corresponding overlap volumes in dual space.",

keywords = "Quasicrystals, classification by abundancy and energy, vertex configurations",

author = "Ben-Abraham, {S. I.} and A. Joseph",

note = "Funding Information: This work is part of a research project carried out jointly with the group of Professor Peter Kramer at the Institut fur Theorestische Physik der Universitat Tubingen. One of us (SIBA) wants to express his gratitude to all members of the group for their hospitality, help and encouragement. Special thanks are due to Dr. Michael Baake and Mr. Martin Schlottmann who produced the corrected list of vertices and allowed us to use it prior to publication.",

year = "1993",

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doi = "10.1080/01411599308210256",

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AU - Joseph, A.

N1 - Funding Information: This work is part of a research project carried out jointly with the group of Professor Peter Kramer at the Institut fur Theorestische Physik der Universitat Tubingen. One of us (SIBA) wants to express his gratitude to all members of the group for their hospitality, help and encouragement. Special thanks are due to Dr. Michael Baake and Mr. Martin Schlottmann who produced the corrected list of vertices and allowed us to use it prior to publication.

PY - 1993/6/1

Y1 - 1993/6/1

N2 - Imperfect icosahedral quasicrystals are assumed to grow obeying a local rule which imposes the twin orientation of like building blocks. The vertex configurations and their representations are briefly discussed. The vertices are classified by their abundances and energies determined according to a simple model taking account of nearest-neighbour interactions and calculating the corresponding overlap volumes in dual space.

AB - Imperfect icosahedral quasicrystals are assumed to grow obeying a local rule which imposes the twin orientation of like building blocks. The vertex configurations and their representations are briefly discussed. The vertices are classified by their abundances and energies determined according to a simple model taking account of nearest-neighbour interactions and calculating the corresponding overlap volumes in dual space.

KW - Quasicrystals

KW - classification by abundancy and energy

KW - vertex configurations

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ER -

Hierarchy of vertices in imperfect icosahedral quasicrystals

Abstract

Keywords

ASJC Scopus subject areas

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