. Biophysical science. Biophysics. (120) rf = (100) d=\.7QA a Incident X-ray I A/o Mnximn. X-ray (100) Diffraction Maximum n=2 0=50° X-ray (010) Plane Gives Same Value of Figure 7. Diffraction of an X-ray beam. In working out angles, it is assumed that the X-ray wavelength A is A and that the crystal had cubic symmetry with a lattice con- stant of A. indices go up, the spacing d between adjacent planes decreases, and the number of maxima likewise decreases. For the example shown, there are two angles corresponding to n = 1 and n = 2 for the (010) and (100) planes. The (110) and
. Biophysical science. Biophysics. (120) rf = (100) d=\.7QA a Incident X-ray I A/o Mnximn. X-ray (100) Diffraction Maximum n=2 0=50° X-ray (010) Plane Gives Same Value of Figure 7. Diffraction of an X-ray beam. In working out angles, it is assumed that the X-ray wavelength A is A and that the crystal had cubic symmetry with a lattice con- stant of A. indices go up, the spacing d between adjacent planes decreases, and the number of maxima likewise decreases. For the example shown, there are two angles corresponding to n = 1 and n = 2 for the (010) and (100) planes. The (110) and (120) planes each have only one diffraction maximum corresponding to n = 1. The maximum for the (120) plane essentially reflects the incident beam back on itself and could not be observed. None of the higher planes will exhibit diffraction maxima. However, planes not perpendicular to the xy plane, such as (101) and (011), will give maxima whose diffracted beams will not lie in the plane of the paper. Thus, the maxima will form a two-dimensional pattern such as that shown in Figure 5. To show all the planes with mono- chromatic X rays, a number of different schemes have been developed which lead to an easier interpretation of the Miller indices of the planes giving rise to a given reflection. For complex molecules, such as. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Ackerman, Eugene, 1920-. Englewood Cliffs, N. J. , Prentice-Hall
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