Problem 6: It is given that the radial distance of the K-electron in hydrogen is 0.05 nm, and the atomic number of bismuth is 83. Use the Bohr model (not the Moseley's law) for the energy/radius and the shell model for the electron configuration. Note: Not using the Madelung's rule. In the shell model, each shell can accommodate maximum 2n² electrons. (a) What is the minimum energy (in keV) to ionize the bismuth atoms? (b) What is the momentum (in kg·m/s) of photons emitted in the L?-transition? (c) What is the "circumference" (in pm) of the M-orbit of bismuth atoms? (d) What is the de Broglie wavelength (in pm) associated with the M-orbit electrons of bismuth atoms?
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6 \times \frac{Z^2}{n^2}\), where Z is the atomic number and n is the shell number. Given Z = 83 and n = 1, plug in the values: \(E = -13.6 \times \frac{83^2}{1^2} = -93690.4 \, eV = \mathbf{93.6 \, keV}\). Show more…
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