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Graph and image of single-slit diffraction. As an example, an exact equation can now be derived for the intensity of the diffraction pattern as a function of angle in the case of single-slit diffraction. A mathematical representation of Huygens' principle can be used to start an equation.
Graph and image of single-slit diffraction A long slit of infinitesimal width which is illuminated by light diffracts the light into a series of circular waves and the wavefront which emerges from the slit is a cylindrical wave of uniform intensity, in accordance with the Huygens–Fresnel principle .
Graph and image of single-slit diffraction. The width of the slit is W. The Fraunhofer diffraction pattern is shown in the image together with a plot of the intensity vs. angle θ. [10] The pattern has maximum intensity at θ = 0, and a series of peaks of decreasing intensity. Most of the diffracted light falls between the first minima.
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As a result of the interaction with a crystalline sample, the electron exit wave right below the sample φ e (x,u) as a function of the spatial coordinate x is a superposition of a plane wave and a multitude of diffracted beams with different in plane spatial frequencies u (spatial frequencies correspond to scattering angles, or distances of ...
Same double-slit assembly (0.7 mm between slits); in top image, one slit is closed. In the single-slit image, a diffraction pattern (the faint spots on either side of the main band) forms due to the nonzero width of the slit. This diffraction pattern is also seen in the double-slit image, but with many smaller interference fringes.
Diffraction patterns from multiple slits have envelopes determined by the single slit diffraction pattern. For a single slit the pattern is given by: [11] = () / () , where α is the diffraction angle, d is the slit width, and λ is the
Kikuchi lines serve to highlight the edge on lattice planes in diffraction images of thicker specimens. Because Bragg angles in the diffraction of high energy electrons are very small (~ 1 ⁄ 4 degrees for 300 keV), Kikuchi bands are quite narrow in reciprocal space. This also means that in real space images, lattice planes edge-on are ...