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Growing perfect decagonal quasicrystals by local rules.

Hyeong-Chai Jeong¹

¹Department of Physics, Sejong University, Seoul 143-747, Korea.

Physical Review Letters

|May 16, 2007

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A novel 3D local growth algorithm successfully creates perfect decagonal quasicrystals. This method overcomes previous limitations, enabling bulk quasicrystal formation with only a surface defect.

Area of Science:

Materials Science
Crystallography
Condensed Matter Physics

Background:

Quasicrystals, particularly decagonal quasicrystals, exhibit unique atomic structures with long-range order but no translational symmetry.
Previous models for creating perfect 2D Penrose tilings often required nonlocal information, posing challenges for bulk material synthesis.
Understanding growth mechanisms is crucial for fabricating quasicrystalline materials with desired properties.

Purpose of the Study:

To present a new local growth algorithm for synthesizing decagonal quasicrystals.
To demonstrate the feasibility of constructing a perfect Penrose tiling (PPT) layer using a 3D local rule growth.
To investigate the possibility of achieving bulk perfect decagonal quasicrystalline structures via a local growth approach.

Main Methods:

Related Experiment Videos

Development of a three-dimensional (3D) local growth rule.
Sequential addition of 2D PPT layers onto a decapod tiling base layer.
Simulation and analysis of the resulting atomic structure.

Main Results:

A perfect Penrose tiling layer was successfully grown on a decapod tiling layer using the 3D local rule.
Successive 2D PPT layers were added, forming a bulk decagonal quasicrystalline structure.
The resulting structure exhibited a point defect exclusively on the bottom surface layer.

Conclusions:

An ideal quasicrystal structure can be constructed using a local growth algorithm in 3D.
This local 3D growth approach circumvents the need for nonlocal information typically required for 2D PPT growth.
The findings offer a new pathway for the fabrication of bulk quasicrystalline materials.