Page 79 - Materials Science and Engineering An Introduction
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3   The Structure of
                                                C h a p t e r
                                                                    Crystalline Solids





                                                                                   (a) X-ray diffraction photo-
                                                                                   graph [or Laue photograph
                                                    Diffracted
                                                     beams                         (Section 3.16)] for a single
                                                             Incident              crystal of magnesium.
                                                             beam
                                                                                   (b) Schematic diagram
                                                                                   illustrating how the spots (i.e.,
             Courtesy of J. G. Byrne            Photographic plate  Lead screen    are produced. The lead screen
                                                         Single crystal
                                                                          X-ray source
                                                                                   the diffraction pattern) in (a)
                                                                                   blocks out all beams generated
                                                                                   from the x-ray source, except
                                                             (b)
                                                                                   for a narrow beam traveling in
                                                                                   a single direction. This
                            (a)                                                    incident beam is diffracted
                                                                                   by individual crystallographic
                                                                                   planes in the single crystal
                                                                                   (having different orientations),
                                                                                   which gives rise to the various
                                                                                   diffracted beams that impinge
                                                                                   on the photographic plate.
                                                                                   Intersections of these beams
                                                                                   with the plate appear as spots
                                                                                   when the film is developed.
                                                                                © William D. Callister, Jr.  The large spot in the center
                                                                                   of (a) is from the incident
                                                                                   beam, which is parallel to a
                                                                                   [0001] crystallographic direc-
                                                                                   tion. It should be noted that
                                                                                   the  hexagonal symmetry of
                               (c)                                (d)              magnesium’s hexagonal close-
                                           packed crystal structure [shown in (c)] is indicated by the diffraction spot pattern that
                                           was generated.
                                              (d) Photograph of a single crystal of magnesium that was cleaved (or split) along
                                           a (0001) plane—the flat surface is a (0001) plane. Also, the direction perpendicular to
                                           this plane is a [0001] direction.
                                              (e) Photograph of a mag wheel—a lightweight automobile wheel made of
                                           magnesium.

             iStockphoto



                          (e)             [Figure (b) from J. E. Brady and F. Senese, Chemistry: Matter and Its Changes, 4th edition. Copyright ©
                                          2004 by John Wiley & Sons, Hoboken, NJ. Reprinted by permission of John Wiley & Sons, Inc.]


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