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...
The Brillouin zones of the linear lattice. As we can see from Eq. (1.52), the shortest reciprocal lattice vector |K0| = 2π/a. If the origin 0 is chosen at the center, the first Bragg plane (zone boundary) is at –π/a and π/a. Similarly, the second Bragg plane is at –2...
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). ...
Silicon crystallized in the usual cubic (diamond) lattice structure has dominated the electronics industry for more than half a century. However, cubic silicon (Si), germanium (Ge) and SiGe alloys are all indirect-bandgap semiconductors that cannot emit light efficiently. The goal1 of achieving ef...
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 inner ends of such lines lie on the normal reciprocal lattice for λmin, the short wavelength cut-off. If 2 θ is the smallest deviation of a Laue reflection from an accurately set crystal, then λmin/2sin2θ gives the minimum distance between lattice points along the X-...
With a high resolution electron microscope it is possible to image directly the atomic surface lattice of vapor-deposited Au(111) films. The contrast of the surface atoms can be either black or white relative to the background which is characteristic of close-packed planes of atoms in the ...
microscopyandspectroscopy,wedirectlycorrelatetheatomiclatticestructurewiththe observedmagneticorder.AlthoughtheindividualmonolayerCrBr 3 isferromagnetic,the interlayercouplinginbilayerdependsonthestackingorderandcanbeeitherferromagnetic orantiferromagnetic.Ourobservationspavethewayformanipulating2Dmagnetismwith ...
integration has been the hetero-epitaxial growth of dissimilar materials on silicon. To date, such hetero-epitaxial growth has realized a high density of defects in the hetero-epitaxial grown films, largely due to the mismatches in lattice constants between the non-silicon films and the substrate....