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Energy and Human Ambitions on a Finite Planet, 2021a

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15 Nuclear <str<strong>on</strong>g>Energy</str<strong>on</strong>g> 259<br />

<strong>on</strong>e of the three fissile nuclei, we can c<strong>on</strong>vert 43 238 239<br />

U into the fissile Pu<br />

the following way.<br />

238 239<br />

1. A U may absorb a w<str<strong>on</strong>g>and</str<strong>on</strong>g>ering neutr<strong>on</strong> to become U.<br />

239<br />

2. U, whose half life is 23.5 minutes, undergoes β − to become<br />

239Np<br />

in short order.<br />

239<br />

3. Np also undergoes β − with a half life of 2.4 days to become<br />

239<br />

fissile Pu.<br />

Figure 15.17 highlights this process in a simplified regi<strong>on</strong> of the Chart<br />

of the Nuclides, while Figure 15.18 shows complete details for the<br />

entire regi<strong>on</strong> around the fissile materials—the <strong>on</strong>es with red isotope<br />

names—which can be used to track the sequence outlined above.<br />

43: . . . called transmutati<strong>on</strong><br />

<br />

Pu239 Pu240 Pu241<br />

24.10 kyr 6.56 kyr 14.4 yr<br />

<br />

Np238 Np239<br />

2.117 d 2.355 d<br />

Np240<br />

1.032 h<br />

<br />

<br />

<br />

U237 U238 U239<br />

6.75 d 99.2745 23.47 m<br />

4.47 Gyr<br />

<br />

<br />

n<br />

Figure 15.17: Breeder route to<br />

239 Pu.<br />

95<br />

94<br />

93<br />

92<br />

91<br />

90<br />

89<br />

Am<br />

Americium<br />

Pu<br />

Plut<strong>on</strong>ium<br />

Np<br />

Neptunium<br />

U<br />

Uranium<br />

238.02891<br />

Pa<br />

Protactinium<br />

231.03588<br />

Th<br />

Thorium<br />

232.0381<br />

Ac<br />

Actinium<br />

Am235 Am236 Am237 Am238 Am239 Am240 Am241 Am242 Am243<br />

15 m 4 m<br />

1.22 h 1.63 h 11.9 h 2.12 d 432.7 yr 141 yr 7.37 kyr<br />

e - capture ? e - capture e - capture e - capture e - capture e - capture <br />

E 2.6 E 3.3<br />

E 1.5<br />

E 2.3 E 0.803 E 1.38 241.056823<br />

243.061373<br />

Pu234 Pu235 Pu236 Pu237 Pu238 Pu239 Pu240 Pu241 Pu242<br />

8.8 h 25.3 m 2.87 yr 45.2 d 87.7 yr 24.10 kyr 6.56 kyr 14.4 yr 375 kyr<br />

e - capture e - capture <br />

e - capture <br />

<br />

<br />

E 0.39 E 1.14 236.046048 E 0.22 238.049553 239.052157 240.053087 E 0.0208 242.058737<br />

Np233 Np234 Np235 Np236 Np237 Np238 Np239 Np240 Np241<br />

36.2 m 4.4 d 1.085 yr 155 kyr 2.14 Myr 2.117 d 2.355 d 1.032 h 13.9 m<br />

e - capture e - capture e - capture e - capture <br />

E 1.0 E 1.81 E 0.124 E 0.9 237.048167 E 1.292 E 0.722 E 2.20 E 1.3<br />

U232 U233 U234 U235 U236 U237 U238 U239 U240<br />

69.8 yr 159.2 kyr 0.0055 0.7200 23.42 Myr 6.75 d 99.2745 23.47 m 14.1 h<br />

<br />

<br />

246 kyr<br />

<br />

704 Myr<br />

<br />

<br />

4.47 Gyr<br />

<br />

<br />

232.037146 233.039628 234.040946 235.043923 236.045562 E 0.519 238.050783 E 1.263 E 0.39<br />

Pa231 Pa232 Pa233 Pa234 Pa235 Pa236 Pa237 Pa238<br />

32.8 kyr 1.31 d 26.967 d 6.69 h 24.4 m 9.1 m 8.1 m 2.3 m<br />

<br />

231.035879 E 1.34 E 0.570 E 2.195 E 1.4<br />

E 2.9<br />

E 2.3 E 3.5<br />

Th230 Th231 Th232 Th233 Th234 Th235 Th236 Th237 Th238<br />

75.4 kyr 1.063 d 100 21.83 m 24.10 d 7.2 m 37.5 m 4.8 m ~9.4 m<br />

14.0 Gyr<br />

<br />

<br />

<br />

<br />

<br />

230.033127 E 0.390 232.038050 E 1.245 E 0.273 E 1.9 E 1.0 E 2.6 E 1.6<br />

Ac229 Ac230 Ac231 Ac232 Ac233 Ac234 146 147 148<br />

1.04 h 2.03 m 7.5 m 2.0 m 2.4 m<br />

40s<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

E 1.10 E 2.7<br />

E 2.1<br />

E 3.7<br />

E 2.8 E 4.5<br />

Z N 140 141 142 143 144 145<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

Pu239<br />

24.10 kyr<br />

239.052157<br />

U238<br />

99.2745<br />

4.47 Gyr<br />

<br />

238.050783<br />

isotope<br />

half life (radioactive)<br />

primary decay path<br />

mass or decay energy (MeV)<br />

naturally ocurring isotope<br />

% abundance<br />

half life<br />

primary decay path<br />

mass, a.m.u.<br />

Top Half Coloring:<br />

Half Life Guide<br />

< 1 day<br />

1 to 10 days<br />

10 to 100 days<br />

100 days to 10 yr<br />

10 yr to 500 Myr<br />

> 500 Myr or stable<br />

Bottom Half Coloring:<br />

Neutr<strong>on</strong> Absorpti<strong>on</strong> (Barns)<br />

< 10<br />

10 to 100<br />

100 to 500<br />

500 to 1000<br />

>1000<br />

1 a.m.u. = 1.66054e-27 kg<br />

1 a.m.u. = 931.49432 MeV/c 2<br />

1 MeV = 1.6022e-13 J<br />

U233, U235, Pu239 are slow-neutr<strong>on</strong> fissile<br />

Figure 15.18: Chart of the Nuclides in the fissi<strong>on</strong> regi<strong>on</strong>. See also Figure 15.4 for the lower-left corner.<br />

238 239<br />

The result is that sterile U can be turned into fissile Pu that can be<br />

used in fissi<strong>on</strong> reactors. This process of transmuting an inert nucleus<br />

into a fissile <strong>on</strong>e is called breeding, <str<strong>on</strong>g>and</str<strong>on</strong>g> is how we get any plut<strong>on</strong>ium<br />

at all. 44<br />

238<br />

A nuclear reactor is a great place to introduce U to neutr<strong>on</strong>s:<br />

both are already in attendance. In fact, breeding happens as a matter of<br />

course in a nuclear reactor: it is estimated that <strong>on</strong>e-third of the fissi<strong>on</strong><br />

44: . . . e.g., for weap<strong>on</strong>s<br />

© 2021 T. W. Murphy, Jr.; Creative Comm<strong>on</strong>s Attributi<strong>on</strong>-N<strong>on</strong>Commercial 4.0 Internati<strong>on</strong>al Lic.;<br />

Freely available at: https://escholarship.org/uc/energy_ambiti<strong>on</strong>s.

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