Other subjects, best studied with the help of direct and reciprocal spaces, include indexing of lattice planes and directions, choice of special points in the Brillouin zones for averaging of physical quantities, some general properties of itinerant wavefunctions, energy dispersion curves, and density...
Evolutionary prisoner’s dilemma game on a square lattice. Phys. Rev. E 58, 69–73 (1998). Article Google Scholar Traulsen, A., Pacheco, J. M. & Nowak, M. A. Pairwise comparison and selection temperature in evolutionary game dynamics. J. Theor. Biol. 246, 522–529 (2007). ...
(1.2), defines an infinite set of points called the direct, or real space, lattice. Another lattice, called the reciprocal lattice, is also extremely useful for describing diffraction, electronic band structure, and other properties of crystals. The reciprocal lattice can be specified in terms of...
This paper discusses one of the difficulties encountered: convergence of lattice sums. These sums are sometimes extremely slow to converge, but may be obtained by the Ewald technique with a reasonable computational effort. This paper presents a set of exact formulas for application of the technique...
Thermal emission—the process through which all objects with a finite temperature radiate electromagnetic energy—has generally been thought to obey reciprocity, where the absorbed and emitted radiation from a body are equal for a given wavelength and angular channel. This equality, formalized by Gustav...
A detailed understanding of the strain relaxation during growth is important to optimize the buffer layers and to achieve high material quality. We present a method to determine the epilayer relaxation at growth temperature from room temperature X-ray diffraction measurements. For this the lattice ...
The symmetry of direct and reciprocal lattices and the symmetry of bend contours present in the electron microscopy images of nanothin crystals with elastic rotational distortion of the lattice are examined using the example of nanothin selenium crystals....
Presents direct measurements of anneal-induced variations of the in-plane and normal components of the lattice parameter of strained silicon- germanium/Si heterostructures. Technique used in allowing determination of strain levels; Observation of furnace annealing in argon ambient; Use of two-bounce ...
The reciprocal lattice and defect structure of the crystallographic shear (CS) structures in perovskite-based "PbFeO" are investigated using transmission electron microscopy. The reciprocal space for all observed 1/2[110](0) CS structures can be described with the same average pseudocubic unit cell...
The ground-state electronic order in doped manganites is frequently associated with a lattice modulation, contributing to their many interesting properties. However, measuring the thermal evolution of the lattice superstructure with reciprocal-space probes alone can lead to ambiguous results with competing...