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Characteristic x-rays of the K series are produced when an electron in an upper energy level of a many- electron atom drops down to fill a vacancy in the K (n = 1) shell. Assuming that the given wavelengths are the three longest wavelengths in the K series of tungsten, the transitions that produce them are from the N (n = 4) shell to the K shell, from the M (n = 3) shell to the K shell, and from the L (n = 2) shell to the K shell, respectively. These transitions are shown in the energy level diagram, where 1, = 0.0185 nm, = 0.0209 nm, and 13 = 0.0215 nm. If the ionization energy of the K shell is 69.5 keV, then EK = -69.5 keV. En N shell Ем M shell EL L shell Ex K shell The photon produced in a transition from an initial state to a final state has energy hc Ephoton Ej - Ef, and therefore the energy of the initial shell is given by the following. hc E; = Ef + Thus, for a transition from the initial state with energy EN to the final state with energy EK, we have hc EN Ек + 6.63 x 10¬34 j•s) 3.00 x 108 kev) + =)(3. m/s 1 keV - (- %3D x 10 m -9 1.60 x 10-16 j kev.

Characteristic x-rays of the K series are produced when an electron in an upper energy level of a many- electron atom drops down to fill a vacancy in the K (n = 1) shell. Assuming that the given wavelengths are the three longest wavelengths in the K series of tungsten, the transitions that produce them are from the N (n = 4) shell to the K shell, from the M (n = 3) shell to the K shell, and from the L (n = 2) shell to the K shell, respectively. These transitions are shown in the energy level diagram, where 1, = 0.0185 nm, = 0.0209 nm, and 13 = 0.0215 nm. If the ionization energy of the K shell is 69.5 keV, then EK = -69.5 keV. En N shell Ем M shell EL L shell Ex K shell The photon produced in a transition from an initial state to a final state has energy hc Ephoton Ej - Ef, and therefore the energy of the initial shell is given by the following. hc E; = Ef + Thus, for a transition from the initial state with energy EN to the final state with energy EK, we have hc EN Ек + 6.63 x 10¬34 j•s) 3.00 x 108 kev) + =)(3. m/s 1 keV - (- %3D x 10 m -9 1.60 x 10-16 j kev.

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The K series of the discrete spectrum of tungsten contains wavelengths of 0.0185 nm, 0.0209 nm, and 0.0215 nm. The K-shell ionization energy is 69.5 keV. Determine the ionization energies of the L, M, and N shells. Step 1 Characteristic x-rays of the K series are produced when an electron in an upper energy level of a many- electron atom drops down to fill a vacancy in the K (n = 1) shell. Assuming that the given wavelengths are the three longest wavelengths in the K series of tungsten, the transitions that produce them are from the N (n 4) shell to the K shell, from the M (n = 3) shell to the K shell, and from the L (n = 2) shell to the K shell, respectively. These transitions are shown in the energy level diagram, where 1, = 0.0185 nm, = 0.0209 nm, and 13 12 EK = 0.0215 nm. If the ionization energy of the K shell is 69.5 keV, then = -69.5 keV. En N shell EM M shell EL L shell Ex- K shell The photon produced in a transition from an initial state to a final state has energy hc Ephoton E¡ - Ef, and therefore the energy of the initial shell is given by the following. hc E; = Ef + Thus, for a transition from the initial state with energy EN to the final state with energy EK, we have hc EN = EK + 6.63 x 10-34 J•s3.00 x 108 m/s J.S 1 kev - (- kev) - + x 10-9 m) 1.60 x 10-16 kev.
Transcribed Image Text:The K series of the discrete spectrum of tungsten contains wavelengths of 0.0185 nm, 0.0209 nm, and 0.0215 nm. The K-shell ionization energy is 69.5 keV. Determine the ionization energies of the L, M, and N shells. Step 1 Characteristic x-rays of the K series are produced when an electron in an upper energy level of a many- electron atom drops down to fill a vacancy in the K (n = 1) shell. Assuming that the given wavelengths are the three longest wavelengths in the K series of tungsten, the transitions that produce them are from the N (n 4) shell to the K shell, from the M (n = 3) shell to the K shell, and from the L (n = 2) shell to the K shell, respectively. These transitions are shown in the energy level diagram, where 1, = 0.0185 nm, = 0.0209 nm, and 13 12 EK = 0.0215 nm. If the ionization energy of the K shell is 69.5 keV, then = -69.5 keV. En N shell EM M shell EL L shell Ex- K shell The photon produced in a transition from an initial state to a final state has energy hc Ephoton E¡ - Ef, and therefore the energy of the initial shell is given by the following. hc E; = Ef + Thus, for a transition from the initial state with energy EN to the final state with energy EK, we have hc EN = EK + 6.63 x 10-34 J•s3.00 x 108 m/s J.S 1 kev - (- kev) - + x 10-9 m) 1.60 x 10-16 kev.
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