The Reciprocal Lattice in Hierarchic Quasicrystals

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Hierarchic Computations in Geometric Space—Showing Sharp Diffraction in Quasicrystals

A quasi-structure factor method is used to show how sharp diffraction patterns are produced by aperiodic quasicrystals. Icosahedral symmetry is described for the tensor rank 3 solids with edgesharing unit cells that are pentagonally close packed in hierarchic structures having a geometric reciprocal lattice. The hierarchic symmetry replaces translational symmetry in crystal diffraction. Details...

متن کامل

Lattice Color Groups of Quasicrystals

It is well known that the points of a square lattice may be partitioned into two square subsets, related by a translation, but that the same is not true for triangular lattices. This allows a certain kind of anti-ferromagnetic order in tetragonal crystals which is not possible for hexagonal crystals. One often encounters similar situations in which a set of lattice points is to be partitioned i...

متن کامل

Localized modes in photonic quasicrystals with Penrose-type lattice.

We investigate the properties of the resonant modes that occur in the transparency bands of two-dimensional finite-size Penrose-type photonic quasicrystals made of dielectric cylindrical rods. These modes stem from the natural local arrangements of the quasicrystal structure rather than, as originally thought, from fabrication-related imperfections. Examples of local density of states and field...

متن کامل

Low-temperature lattice excitation of icosahedral Al-Mn-Pd quasicrystals

We suggest a theoretical method for dealing with the contribution of phasons to the lattice vibration of quasicrystals. Based on this, we derive the density of vibrational states ~DOVS! and specific-heat expressions of the icosahedral Al-Mn-Pd quasicrystal, and obtain corresponding numerical solutions which are in agreement with the experimental data measured by Wälti et al. @Phys. Rev. B 57, 1...

متن کامل

On the Geometry of Ground States and Quasicrystals in Lattice Systems

We propose a geometric point of view to study the structure of ground states in lattice models, especially those with ‘non-periodic long-range order’ which can be seen as toy models for quasicrystals. In a lattice model, the configuration space is S d where S is a finite set, and Θ denotes action of the group Z by translation or ‘shift’. Given a shift-invariant potential Φ, ground states are no...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Modern Physics

سال: 2019

ISSN: 2153-1196,2153-120X

DOI: 10.4236/jmp.2019.106044