p43 074

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74.

(a) We compare both the proton numbers (atomic numbers, which can be found in Appendix F and/or

G) and the neutron numbers (see Eq. 43-1) with the magic nucleon numbers (special values of either
Z or N ) listed in

§43-8. We find that

18

O,

60

Ni,

92

Mo,

144

Sm, and

207

Pb each have a filled shell

for either the protons or the neutrons (two of these,

18

O and

92

Mo, are explicitly discussed in that

section).

(b) Consider

40

K, which has Z = 19 protons (which is one less than the magic number 20). It has

N = 21 neutrons, so it has one neutron outside a closed shell for neutrons, and thus qualifies for
this list. Others in this list include

91

Zr,

121

Sb, and

143

Nd.

(c) Consider

13

C, which has Z = 6 and N = 13

6 = 7 neutrons. Since 8 is a magic number, then

13

C

has a vacancy in an otherwise filled shell for neutrons. Similar arguments lead to inclusion of

40

K,

49

Ti,

205

Tl, and

207

Pb in this list.


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