lattice plane वाक्य
उदाहरण वाक्य
मोबाइल
- While the Bragg formulation assumes a unique choice of direct lattice planes and specular reflection of the incident X-rays, the Von Laue formula only assumes monochromatic light and that each scattering center acts as a source of secondary wavelets as described by the Huygens principle.
- To discuss the visibility of defects in topographic images according to theory, consider the exemplary case of a single dislocation : It will give rise to contrast in topography only if the lattice planes involved in diffraction are distorted in some way by the existence of the dislocation.
- In single-crystal specimens, single-reflection dark-field images of a specimen tilted just off the Bragg condition allow one to " light up " only those lattice defects, like dislocations or precipitates, that bend a single set of lattice planes in their neighborhood.
- The Kikuchi band widths themselves ( roughly " ?L / d " where " ? / d " is approximately twice the Bragg angle for the corresponding plane ) are well under 1? because the wavelength " ? " of electrons ( about 1.97 picometres in this case ) is much less than the lattice plane d-spacing itself.
- After seminal work on Paul Niggli ( 1888-1953 ), particularly in his 1928 " Kristallographische und Strukturtheoretische Grundbegriffe " . [ 2 ] For example, the repetition, or translation ( physics ), of a lattice plane produces a stack of parallel planes, the last member of which may be manifested morphologically as one of the external faces of the crystal.
- Just as "'a set of lattice-planes in direct-space corresponds to a reciprocal-lattice vector "'in the complementary-space of spatial-frequencies and momenta, a " zone " is defined as "'a set of reciprocal-lattice planes in frequency-space that corresponds to a lattice-vector "'in direct-space.
- Considering only ( hk ! ) planes intersecting one or more lattice points ( the " lattice planes " ), the perpendicular distance " d " between adjacent lattice planes is related to the ( shortest ) reciprocal lattice vector orthogonal to the planes by the formula : d = 2 \ pi / | \ mathbf { g } _ { h k \ ell } |.
- Considering only ( hk ! ) planes intersecting one or more lattice points ( the " lattice planes " ), the perpendicular distance " d " between adjacent lattice planes is related to the ( shortest ) reciprocal lattice vector orthogonal to the planes by the formula : d = 2 \ pi / | \ mathbf { g } _ { h k \ ell } |.
- As this angle changes in either direction from edge-on ( at which orientation the electron beam runs parallel to the lattice planes and perpendicular to their normal ), the beam moves into Bragg diffracting condition and more electrons are diffracted outside the microscope's back focal plane aperture, giving rise to the dark-line pairs ( bands ) seen in the image of the bent silicon foil shown in the image at right.
- With EBSD software, pattern bands are typically detected via a mathematical routine using a modified Hough transform, in which every pixel in Hough space denotes a unique line / band in the EBSP . The Hough transform is used to enable band detection, which are difficult to locate by computer in the original EBSP . Once the band locations have been detected it is possible to relate these locations to the underlying crystal orientation, as angles between bands represent angles between lattice planes.
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