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Nuclear Spectroscopy

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14<br />

12<br />

X-Ray Energy (keV)<br />

10<br />

8<br />

6<br />

4<br />

2<br />

X XXXXXXXXXXXXXXXXXXXXXX<br />

0<br />

0 200 400 600 800 1000 1200 1400<br />

(Z - 1) 2<br />

Figure 7.3 The data demonstrate the systematic change in K<br />

x-ray energy with atomic number, much as Moseley discovered<br />

just before World War I.<br />

The decay of a nucleus to an excited state of another<br />

nucleus, such as the beta decay of 137 Cs to the 661.6 keV<br />

excited state of 137 Ba, frequently results in the emission<br />

of a 661.6 keV gamma as the 137m Ba decays to its ground<br />

state (see Figure 2.1). A competing process is the<br />

internal transition (IT), whereby the decay of 137m Ba to<br />

its ground state transfers 661.6 keV to a K-shell electron,<br />

allowing the electron to escape the atom with a<br />

kinetic energy of 661.6 keV less its binding energy<br />

L<br />

K<br />

nucleus<br />

A = Z + N<br />

Z protons<br />

N neutrons<br />

Before<br />

Auger<br />

Figure 7.4 The internal transition process is depicted above.<br />

The decay of an excited nuclear state results in the same<br />

nucleus with an atomic K-shell vacancy. The vacancy is<br />

filled by an Auger transition (or K x-ray emission).<br />

L<br />

K<br />

nucleus<br />

A = Z + N<br />

Z protons<br />

N neutrons<br />

After<br />

Figure 7.5 The electron capture process is depicted above as<br />

the capture of a K-shell electron by the nucleus, converting one<br />

proton into a neutron.,with the emission of a neutrino. The<br />

emission of a K x ray (or an Auger electron) follows the EC.<br />

(which is the same as the K-shell ionization energy).<br />

The resulting vacancy in the K shell is filled by an L-<br />

shell or M-shell electron and K x rays from barium are<br />

observed from a 137 Cs radioactive source. This IT<br />

process is depicted in Figure 7.4.<br />

Capture of a K-shell electron (EC) by the nucleus<br />

results in one more neutron, one less proton, the<br />

emission of an electron neutrino, and a vacancy in the<br />

K shell. The overlap of the K-shell electron’s<br />

wavefunction with the nucleus results in a nonzero<br />

probability for the electron to be captured by the<br />

nucleus. As an example, the nucleus 65 Zn undergoes<br />

both positron decay and electron capture to the ground<br />

state of 65 Cu, and only electron capture to its 1115 keV<br />

excited state (see Appendix D). Copper K x rays are<br />

observed from a 65 Zn source, along with 1115 keV<br />

gammas. The electron capture process is depicted in<br />

Figure 7.5.<br />

OBJECTIVE<br />

Observe the K x rays after electron capture and after<br />

internal conversion. K x rays from lead are usually<br />

observed in your spectra. Some gammas are intercepted<br />

by the lead shielding around your detector and<br />

interact with the electrons of the lead by the photoelectric<br />

effect or Compton effect, resulting in an<br />

electron vacancy in one of the atomic shells. If this is<br />

a K-shell electron, then a lead K x ray will usually be<br />

emitted. See Figure 7.6.<br />

22

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