Page 233 - Essentials of physical chemistry
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Basic Spectroscopy                                                          195


            TABLE 9.1
            X-Ray Auger=Fluorescence Wavelengths of Selected Elements
            Element   l (nm)    Element    l (nm)     Element   l (nm)    Element    l (nm)
            3Li      K a 22.8    28 Ni    K a 0.1658  53 I     L a 0.3149  78 Pt    L a 0.1313
            4Be      K a 11.4    29 Cu    K a 0.1541  54 Xe    L a 0.3016  79 Au    L a 0.1276
            5B       K a 6.76    30 Zn    K a 0.1435  55 Cs    L a 0.2892  80 Hg    L a 0.1241
            6C       K a 4.47    31 Ga    K a 0.1340  56 Ba    L a 0.2776  81 Tl    L a 0.1207
            7N       K a 3.16    32 Ge    K a 0.1254  57 La    L a 0.2666  82 Pb    L a 0.1175
            8O       K a 2.362   33 As    K a 0.1176  58 Ce    L a 0.2562  83 Bi    L a 0.1144
            9F       K a 1.832   34 Se    K a 0.1105  59 Pr    L a 0.2463  84 Po    L a 0.1114
            10 Ne    K a 1.445   35 Br    K a 0.1040  60 Nd    L a 0.2370  85 At    L a 0.1085
            11 Na    K a 1.191   36 Kr    K a 0.09081  61 Pm   L a 0.2282  86 Rn    L a 0.1057
            12 Mg    K a 0.989   37 Rb    K a 0.09256  62 Sm   L a 0.2200  87 Fr    L a 0.1030
            13 Al    K a 0.834   38 Sr    K a 0.08753  63 Eu   L a 0.2121  88 Ra    L a 0.1005
            14 Si    K a 0.7125  39 Y     K a 0.08288  64 Gd   L a 0.2047  89 Ac    L a 0.0980
            15 P     K a 0.6157  40 Zr    K a 0.07859  65 Tb   L a 0.1977  90 Th    L a 0.0956
            16 S     K a 0.5372  41 Nb    K a 0.07462  66 Dy   L a 0.1909  91 Pa    L a 0.0933
            17 Cl    K a 0.4728  42 Mo    K a 0.07093  67 Ho   L a 0.1845  92 U     L a 0.0911
            18 Ar    K a 0.4192  43 Tc    K a 0.06750  68 Er   L a 0.1784  93 Np    L a 0.0889
            19 K     K a 0.3741  44 Ru    K a 0.06431  69 Tm   L a 0.1727  94 Pu    L a 0.0868
            20 Ca    K a 0.3358  45 Rh    K a 0.06133  70 Yb   L a 0.1672  95 Am    L a 0.0847 a
            21 Sc    K a 0.3031  46 Pd    K a 0.05854  71 Lu   L a 0.1620  96 Cm    L a 0.0828 a
            22 Ti    K a 0.2749  47 Ag    K a 0.05594  72 Hf   L a 0.1570  97 Bk    L a 0.0809 a
            23 V     K a 0.2504  48 Cd    K a 0.05350  73 Ta   L a 0.1522  98 Cf    L a 0.0791 a
            24 Cr    K a 0.2290  49 In    L a 0.3772  74 W     L a 0.1476  99 Es    L a 0.0773 a
            25 Mn    K a 0.2102  50 Sn    L a 0.3600  75 Re    L a 0.1433  100 Fm   L a 0.0756 a
            26 Fe    K a 0.1936  51 Sb    L a 0.3439  76 Os    L a 0.1391  101 Md   L a 0.0740 a
            27 Co    K a 0.1789  52 Te    L a 0.3289  77 Ir    L a 0.1351  102 No   L a 0.0724 a

            Sources: Weast, R.C., CRC Handbook of Chemistry and Physics, 53rd Edn., CRC Press, Cleveland, OH, 1971, p. E-131;
                   http:== en.wikipedia.org=wiki=X-ray_fluorescence
            a
             The values are rounded to four significant figures.




            1.54 Å, single; 1.39 Å, double; and 1.31 Å, triple. If the x-ray wavelength is much larger than the
            space between the atoms, the material will be opaque to the electromagnetic waves. If the
            wavelength is much smaller than the spacing between the atoms, the electromagnetic wave will
            pass through the material. Thus, a wavelength is needed in the range of about 1.5 Å to produce a
            semitransparent image from exposure of the material to these x-rays. For Cu, we have a qualitative
            estimate for the wavelength of


                                             1   1
                                           2
                         DE ¼ E 1   E 2 ¼ (29)      (13:6058 eV) ¼ 8581:85835 eV
                                             1 2  2 2
            and

                                              12, 398
                                                      ¼ 1:445 A ˚ :
                                        l K a  ¼
                                             8581:8 eV
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