reciprocal lattice


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reciprocal lattice

[ri′sip·rə·kəl ′lad·əs]
(crystallography)
A lattice array of points formed by drawing perpendiculars to each plane (hkl) in a crystal lattice through a common point as origin; the distance from each point to the origin is inversely proportional to spacing of the specific lattice planes; the axes of the reciprocal lattice are perpendicular to those of the crystal lattice.
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Contract notice:A multifunctional X-ray diffractometer with Cu tube and multi-axis goniometer can be obtained, which can be used for qualitative and quantitative phase analyzes, structural analysis, high-resolution X-ray diffraction for the preparation of rocking curves and reciprocal lattice maps, diffraction under grazing incidence and residual stress and textural measurements.
The topics are crystal lattices from one to three dimensions, crystal structures of elements and important binary compounds, the reciprocal lattice, direct and reciprocal lattices, and X-ray diffraction.
2]) the reciprocal lattice vector, and m and n the arbitrary integers.
The scattering of x-rays on a crystal structure with spatially distributed heterogeneities depends on the phase factor of the lattice [phi](x, z) = exp (ihu(x, z)), where u(x,z) is the vector of atomic displacement, h is the vector of the reciprocal lattice.
Color space is determined on the basis of physical characteristics of color chips, the reciprocal lattice on the basis of logical properties of set-theoretic objects.
12] cm, [tau] and M are unit vectors in the direction of the reciprocal lattice vector [tau] and the spin direction, respectively, and the orientation factor <1-[([tau] * M).
She begins with the fundamentals such as unit cell calculation, point groups reciprocal lattice, properties of X-rays, and electron density maps.
Special attention is given to the possibilities of numerical characterisation of the parameters of the pores on the basis of the analysis of sections and charts of the two-dimensional distribution of the intensity of diffraction reflection--reciprocal space mapping (RSM) around the node of the reciprocal lattice.
But whereas diffraction from a periodic object forms a reciprocal lattice that can be indexed with a set of d reciprocal basis vectors, where d is the dimension, the diffraction pattern from a quasiperiodic object requires a finite number, D > d, independent basis vectors.
Depending on which nodes in the reciprocal lattice are omitted, one can obtain seven different superlattices of twice the volume of the original cell (note that some of the seven may be metrically identical--see Table 10--but have different orientations relative to the original lattice).
The icosahedral symmetry of the phase was demonstrated by carefully constructing a reciprocal lattice using a series of selected area electron diffraction.
Two model examples--hexamethylbenzene, a centrosymmetric crystal with both covalent and Van der Waals bonds, and anhydrous alum, a nocentrosymmetric structure typical of ceramics and metals--are chosen as model crystals and used to explain symmetry, point groups, space groups, Bravais lattices, reciprocal lattices, and diffraction maxima.