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
18 60 92 144 207
Z or N) listed in ż43-8. We find that O, Ni, Mo, Sm, and Pb each have a filled shell
18 92
for either the protons or the neutrons (two of these, Oand Mo, are explicitly discussed in that
section).
40
(b) Consider 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
91 121 143
this list. Others in this list include Zr, Sb, and Nd.
13 13
(c) Consider C, which has Z =6 and N =13 - 6 = 7 neutrons. Since 8 is a magic number, then C
40
has a vacancy in an otherwise filled shell for neutrons. Similar arguments lead to inclusion of K,
49 205 207
Ti, Tl, and Pb in this list.
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