Estimate Kα characteristic X-ray wavelengths: A hole. has already been produced in the n = 1 shell, and an n = 2 electron is poised to jump in. Assume that the electron behaves as though in a "hydrogenlike" atom (see Section 7.8), with energy given by Z2eff(-13.6eV/n2). Before the jump, it orbits Z protons, one remaining n = 1 electron, and (on average) half its seven fellow n = 2 electrons, for a Z2eff of Z - 4.5. After the jump, it orbits Z protons and half of its fellow n = 1 electron, for a Z2eff of Z - 0.5, Obtain a formula for 1/λ versus Z. Compare the predictions of this model with the experimental data given in Figure 8.19 and Table 8,4.
TABLE 8.4 | Kα X-rays |
Z | λ-1(nm-1) |
20(Ca) | 3.0 |
30(zn) | 7.0 |
40(zr) | 12.7 |
50(sn) | 20.3 |
60(sn) | 29.9 |
70(Yb) | 41.8 |
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