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 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...
Trapping and solution of fission Xe in UO2: solution from small overpressurised bubbles We present results of a new theoretical survey of the energetics of fission Xe in V02 in which improved gas-lattice potentials are employed, and calculations performed for a range of temperatures, We ...
microscopyandspectroscopy,wedirectlycorrelatetheatomiclatticestructurewiththe observedmagneticorder.AlthoughtheindividualmonolayerCrBr 3 isferromagnetic,the interlayercouplinginbilayerdependsonthestackingorderandcanbeeitherferromagnetic orantiferromagnetic.Ourobservationspavethewayformanipulating2Dmagnetismwith layertwistangle...
Each crystal structure has two lattices: the crystal lattice and the reciprocal lattice. The concept of a reciprocal lattice is essential to describe nanomolecules, such as, carbon nanotubes or graphene. The definition of the vectors of the reciprocal lattice contributes to the calculation of the ...