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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> 255<br />

paragraph explains the discrepancy, but should be c<strong>on</strong>sidered n<strong>on</strong>essential<br />

reading. The fissi<strong>on</strong> process typically results in a few spare<br />

neutr<strong>on</strong>s. Each left-over (unbound) neutr<strong>on</strong> deprives us of at least 8MeV<br />

in unrealized binding potential, 33 <str<strong>on</strong>g>and</str<strong>on</strong>g> the subsequent β − decays from<br />

the neutr<strong>on</strong>-rich daughter nuclei to stable nuclei also release energy<br />

not accounted in Table 15.7. Both of these c<strong>on</strong>tribute to the shortfall in<br />

comparing 172 MeV to 210 MeV, but even without this, we got a decent<br />

estimate just using the graph in Figure 15.10.<br />

33: Each missing neutr<strong>on</strong> deprives us of<br />

more than the st<str<strong>on</strong>g>and</str<strong>on</strong>g>ard ∼8 MeV per nucle<strong>on</strong>,<br />

as neutr<strong>on</strong>s have no penalty for repulsive<br />

electric charge. The 8 MeV per nucle<strong>on</strong><br />

is an average over prot<strong>on</strong>s <str<strong>on</strong>g>and</str<strong>on</strong>g> neutr<strong>on</strong>s.<br />

15.4.4 Practical Implementati<strong>on</strong>s<br />

As we saw above, nuclear fissi<strong>on</strong> involves getting fissile nuclei—generally<br />

235<br />

U—to split apart by the additi<strong>on</strong> of a neutr<strong>on</strong>. The following criteria<br />

must be met:<br />

235<br />

1. presence of nuclear fuel ( U);<br />

2. presence of neutr<strong>on</strong>s, provided as left-overs from earlier fissi<strong>on</strong><br />

events;<br />

3. a moderator to slow down neutr<strong>on</strong>s that emerge from the fissi<strong>on</strong><br />

events at high speed;<br />

4. a high enough c<strong>on</strong>centrati<strong>on</strong> of nuclear fuel that the slowed-down<br />

spare neutr<strong>on</strong>s are likely to find fissile nuclei;<br />

5. neutr<strong>on</strong> absorbers in the form of c<strong>on</strong>trol rods that can be lowered<br />

into the reactor <str<strong>on</strong>g>and</str<strong>on</strong>g> act as the main “throttle” to set reacti<strong>on</strong> speed<br />

(thus power output), <str<strong>on</strong>g>and</str<strong>on</strong>g> also prevent a runaway chain reacti<strong>on</strong>;<br />

6. a c<strong>on</strong>tainment vessel to mitigate radioactive particles (gamma<br />

rays, high-speed electr<strong>on</strong>s <str<strong>on</strong>g>and</str<strong>on</strong>g> positr<strong>on</strong>s) from escaping to the<br />

envir<strong>on</strong>ment.<br />

Figure 15.16 shows a typical c<strong>on</strong>figurati<strong>on</strong>.<br />

c<strong>on</strong>trol rod actuators<br />

c<strong>on</strong>trol rods<br />

fuel rods<br />

c<strong>on</strong>tainment vessel<br />

steam out<br />

water in<br />

Figure 15.16: Typical boiling water reactor<br />

design. A thick-walled c<strong>on</strong>tainment vessel<br />

holds water surrounding 235U<br />

fuel rods.<br />

The water acts as the moderator to slow<br />

neutr<strong>on</strong>s <str<strong>on</strong>g>and</str<strong>on</strong>g> also circulates around the<br />

rods to carry heat away, boiling to form<br />

steam that can run a st<str<strong>on</strong>g>and</str<strong>on</strong>g>ard power plant.<br />

C<strong>on</strong>trol rods set the pace of the reacti<strong>on</strong><br />

based <strong>on</strong> how far they are inserted into<br />

the spaces between fuel rods. Extra c<strong>on</strong>trol<br />

rods are poised above the reactor core ready<br />

to drop quickly into the core in case of<br />

emergency—suddenly bringing the chain<br />

reacti<strong>on</strong> to a halt.<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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