A 24Mg 20Ne Kr Mo Te Sm Lu 7.6 Ra 238U 160 Hg 8 12CH He 7 SHe 1 A 150 200 100 50 Atomic mass jure 31.26 A graph of average binding energy per nucleon, BE/A, for stable nuclei. The most tightly bound nuclei are those with A near where the attractive nuclear force has its greatest effect. At higher A s, the Coulomb repulsion progressively reduces the binding energy r nucleon, because the nuclear force is short ranged. The spikes on the curve are very tightly bound nuclides and indicate shell closures. Binding energy per nucleon (MeV per nucleon)

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2H is a loosely bound isotope of hydrogen. Called deuterium or heavy hydrogen, it is stable but relatively rare—it is 0.015% of natural hydrogen. Note that deuterium has Z = N , which should tend to make it more tightly bound, but both are odd numbers. Calculate BE/A , the binding energy per nucleon, for 2H and compare it with the approximate value obtained from the graph in Figure 31.26

A
24Mg
20Ne
Kr
Mo
Te
Sm
Lu
7.6
Ra 238U
160
Hg
8
12CH
He
7
SHe
1
A
150
200
100
50
Atomic mass
jure 31.26 A graph of average binding energy per nucleon, BE/A, for stable nuclei. The most tightly bound nuclei are those with A near
where the attractive nuclear force has its greatest effect. At higher A s, the Coulomb repulsion progressively reduces the binding energy
r nucleon, because the nuclear force is short ranged. The spikes on the curve are very tightly bound nuclides and indicate shell closures.
Binding energy per nucleon (MeV per nucleon)
Transcribed Image Text:A 24Mg 20Ne Kr Mo Te Sm Lu 7.6 Ra 238U 160 Hg 8 12CH He 7 SHe 1 A 150 200 100 50 Atomic mass jure 31.26 A graph of average binding energy per nucleon, BE/A, for stable nuclei. The most tightly bound nuclei are those with A near where the attractive nuclear force has its greatest effect. At higher A s, the Coulomb repulsion progressively reduces the binding energy r nucleon, because the nuclear force is short ranged. The spikes on the curve are very tightly bound nuclides and indicate shell closures. Binding energy per nucleon (MeV per nucleon)
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