Modeling of quasicrystal lattices with a 4-fold symmetry axis
Journal Title: Journal of Physics and Electronics - Year 2018, Vol 26, Issue 2
Abstract
The construction method of a quasilattice with a four-fold rotational symmetry axis is proposed. The described method is based on the recurrent generation of the initial group of lattice points, which are a set of vertices of a square. The aperiodic crystal reciprocal lattice modeling algorithm is analyzed. Used modeling technique is compared with conventional projection approach. The orthogonal basis of a four-dimensional hypercubic lattice is proposed. This lattice produces two-dimensional quasicrystal with a four-fold symmetry axis after it projection on a flat surface. It is shown that the indexation of diffraction pattern of similar quasiperiodic structures can be carry out using 3 integer indexes, which is analogous to the indexing system proposed by Cahn for application to icosahedral quasicrystals.
Authors and Affiliations
O. V. Smolyakov
Keywords
Related Articles
- EP ID EP631724
- DOI 10.15421/331823
- Views 136
- Downloads 0
Improvement of resolution in aperture synthesis in near zone of radiation based on the application of the Prony’s method
Applicability of inverse filtering with evolution control for reconstruction of images obtained by aperture synthesis technique is considered. A horn antenna, which is moved in the transversal direction, is used in order...
Temperature dependence of decagonal quasicrystals heat capacity
The heat capacity of decagonal quasicrystals of the Al–Co–Cu or Al–Co–Ni alloys was calculated at the temperatures of 600, 700, and 900 K in this work. The expression for the heat capacity of the quasicrystals was obtain...
An integral equation technique for the analysis of phased array antenna with matching step discontinuities
Applying the integral equation method of overlapping partial domains and the Schwartz alternating method to solving an electromagnetic wave diffraction problem is considered in this paper. The infinite rectangular wavegu...
The effect of cooling rate on the magnetic properties of Cu-Fe-Ni multicomponent alloys with Al and Si additions
The paper explores the structure and magnetic properties of multicomponent high-entropy Al-Cu-Fe-Ni-Si alloys in as-cast and splat-quenched state. This alloy system is characterized by the absence of expensive components...
Electrical characteristics of two-layer structure varistor ceramics–PPTC nanocomposite
Electrical characteristics of experimental two-layer structure based on layers of varistor ceramics and polymer nanocomposite with carbon filler being in thermal contact are studied. A layer of such polymer nanocomposite...