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
140
130
120
110
100
90
90
80
80
70
70
60
60
50
50
20
20
10
10
30
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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