... into the incommensurate systems without reliance on the commensurate approximation (supercell), thus providing a comprehensive energy spectrum theory of the incommensurate systems. incommensurate system quasiperiodic potential plane-wave method moiré quasicrystal National Natural Science Foundation of China 10.13039...

... that periodic forcing of a nonlinear system, even of a 2D autonomous system, can produce chaotic responses with sensitive dependence on initial conditions if the forcing induces sufficient stretching and folding of the phase space. Quasiperiodic forcing can similarly produce chaotic responses, where...

.... Keywords: quasicrystals, spin systems, ferromagnetic interactions, Gamma-convergence, homogeniza- tion, quasiperiodic functions. 1. Introduction In the framework of a general approach to the description of discrete systems by the computa- tion of an effective continuous approximation (see...

...This chapter examines some novel undulator concepts which have been developed to enhance particular properties of the insertion device. Quasiperiodic, figure-8, staggered array, revolver, and adjustable phase undulators are discussed. Finally, some more exotic concepts for generating undulator-like...

..., Shechtman's identification of quasiperiodic crystals, Kikuchi patterns in the electron microscope and electron backscattered (EBSD) patterns in the scanning electron microscope, and image formation and resolution in the electron microscope. atomic scattering factor amplitude electron scattering amplitude fe...

.../9780198824442.001.0001 This chapter first introduces the mathematical concept of aperiodic and quasiperiodic functions, which will form the theoretical basis of the superspace description of the new recently discovered forms of matter. They are divided in three groups, namely modulated phases, composites...

..., decagonal quasicrystal morphology, and aperiodic crystal surfaces; magnetic quasiperiodic systems; aperiodic photonic crystals; mesoscopic quasicrystals, and the mineral calaverite. calaverite compounds morphology triacontahedron average structure net plane periodic average structure Miller indices...

...This chapter discusses aperiodic crystals. The structure and symmetry of quasiperiodic crystals can be described by embedding them into a higher-dimensional space as lattice periodic structures. Their intersection with the physical space gives the real structure, shifting the physical space...

.... Northward turnings of the interplanetary field can also trigger substorms after a growth phase has already started (Section 15.4). During intervals of steady southward interplanetary field, either quasisteady convection bays or quasiperiodically recurring substorms can occur (Section 15.5). An inkling...

...This introductory chapter discusses periodic and quasiperiodic crystals. Perfect quasiperiodic crystals and periodic crystals have sharp Bragg peaks, on the positions of a Fourier module. When the rank of the quasiperiodic structure is equal to the dimension of the space, the Fourier module...

.... This chapter discusses the morphology of aperiodic crystals, surfaces, and magnetic quasiperiodic systems. compounds triacontahedron net plane periodic average structure Miller indices broken bonds Hartman Perdok stability of facets surface Bravais Friedel law morphological importance roughening...

... crystal structures and space groups of inorganic compounds, close packing of organic molecules (Kitaigorodskii), long chain polymer molecules, and quasiperiodic crystals (Mackay). Finally, it considers icosahedral structures and transformations, which relates to crystalline (icosahedral packing of spheres...