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104   •  Chapter 3    /    The Structure of Crystalline Solids

            Noncrystalline Solids                          3.2FE  In the following unit cell, which vector repre-
            3.77  Would you expect a material in which the atomic   sents the [121] direction?
                bonding is predominantly ionic in nature to be                +z
                more likely or less likely to form a noncrystalline
                solid upon solidification than a covalent material?
                Why? (See Section 2.6.)                                  2
                                                                         3            A
            Spreadsheet Problem                                                            1 , 1
                                                                                        C  2 2
            3.1SS  For an x-ray diffraction pattern (having all
                peaks plane-indexed) of a metal that has a unit       1
                cell of cubic symmetry, generate a spreadsheet        2            B
                that allows the user to input the x-ray wave-             D                         +y
                length, and then determine, for each plane, the                              1
                following:                                                                   4

                (a) d hkl                                       +x
                (b)  The lattice parameter, a              3.3FE  What are the Miller indices for the plane
                                                               shown in the following cubic unit cell?
                                                                                       1
                                                               (A) (201)        (C) (10  )
            FUNDAMENTALS OF ENGINEERING QUESTIONS                     1                2
            AND PROBLEMS                                       (B) (1  )        (D) (102)
                                                                      2
            3.1FE  A hypothetical metal has the BCC crystal                     z
                                           3
                structure, a density of 7.24 g/cm , and an atomic
                weight of 48.9 g/mol. The atomic radius of this
                metal is
                                                                                            1
                (A) 0.122 nm                                                                2
                (B) 1.22 nm
                                                                                               y
                (C) 0.0997 nm
                (D) 0.154 nm                                                            a
                                                                               a
                                                                      x
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