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Nuclear Structure 397


spins. Energy levels in nuclei are filled in sequence, just as energy levels in atoms are,
to achieve configurations of minimum energy and therefore maximum stability. Thus
the boron isotope^125 B has more energy than the carbon isotope^126 C because one of its
neutrons is in a higher energy level, and^125 B is accordingly unstable (Fig. 11.8). If

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0 30
Proton number (Z)

Stable nuclei

Neutron number ( N = Z

N
)

40

40

Figure 11.7Neutron-proton diagram for stable nuclides. There are no stable nuclides with Z43 or
61, with N19, 35, 39, 45, 61, 89, 115, 126, or with AZN5 or 8. All nuclides with Z83,
N126, and A209 are unstable.

( )


Stable Stable Unstable Stable Stable

10
5 B
11
5 B
12
6 C
13
6 C
12
5 B

Energy

Neutron
Proton

Figure 11.8Simplified energy-level diagrams of some boron and carbon isotopes. The exclusion
principle limits the occupancy of each level to two neutrons of opposite spin and two protons of
opposite spin. Stable nuclei have configurations of minimum energy.

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