WEBVTT

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[SQUEAKING]

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[RUSTLING]

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[CLICKING]

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PROFESSOR: So this
class is for people who

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have no background in nuclear.

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And I think some of
you are probably here

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and have a background
in nuclear.

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So I apologize if
you find this boring.

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You don't have to stay.

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If you see people leaving,
that might be why.

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But we certainly have
people in this class who

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are lawyers, who are young
undergrads who have not yet

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taken 22.101, people
who are joining

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nuclear engineering
as grad students,

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but from a different
discipline and don't really

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know what nuclear
reactors do, maybe

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from chemistry or from physics.

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And so this class is to put
everyone on the same page.

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The material that I'm going
to cover in this class

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is not material that
you need to know

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to do the rest of the
class, but it's material

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that I hope will give you
some kind of grounding so what

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the hell we're talking about.

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And so we're just going to start
with how nuclear energy works

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and then talk a little bit
about how reactors work.

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So we'll start with physics,
reactors, and energy extraction,

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and fusion reactors,
fission reactors, and then

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fusion reactors at the end.

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All right.

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Any questions about the paper
or anything else before I get

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started?

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Super.

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Yes.

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STUDENT: Does it have to include
some quantitative analysis?

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PROFESSOR: It does
not have to include.

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However, I generally
encourage it to include.

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And the reason I encourage
it is because, as engineering

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students, most people
are comfortable

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with quantitative methods.

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And so it's a way-- it's an
easy toolkit that you have

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access to answer a question.

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And often you see if you
can drill down something

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to something where you can do
a calculation, that's nice.

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There are other acceptable
methodologies, qualitative,

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political science, legal.

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All of those are acceptable.

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But if you are not well
practiced in those methods,

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you are probably going
to make a mistake.

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So I encourage quantitative,
but it is not required.

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Yeah.

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So let's look at energy
at the atomic scale.

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So energy is this
measure of motive power

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that you can use to do things.

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If you took physics, you
know of the unit of joule.

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But when we work at
the scale of atoms,

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we prefer a different
unit because the joule

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is just way too big.

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So we use this unit
called the electron volt.

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And it is defined as
the energy required

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to move one electron
up 1 volt of potential.

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So if you would think in your
AA battery, which is a 1.5 volt,

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and you need to move one
electron from one electrode

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to the other electrode, the
amount of energy it would take

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would be 1.5 electron volts.

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So that is the energy.

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Now, to put that in context,
our macroscopic unit, the joule,

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is the energy to
move one Coulomb.

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The Coulomb is a count,
total number of electrons

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up 1 volt in potential.

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Wow, this thing is
jiggling around.

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So it turns out the conversion
is 1.6 times 10 to the minus 19.

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This is a very, very
small amount of energy,

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and that's why we just, instead
of having these huge exponents,

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we just use this unit.

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All right, so we'll talk about
electron volts all the time.

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Electron volts, electron volts.

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You hear me say it a lot.

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This gives you a
sense of the scale.

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All right.

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So let's talk a little bit about
nomenclature around the atom.

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Many of you who come
from physics domains

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will, of course, know this.

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You know that the
nucleus is made

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of protons, which are
positively charged,

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neutrons, which are neutral.

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And we call together
these things nucleons.

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So when we count the
total number of balls

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in the nucleus of an atom, we
say they have so many nucleons

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and we add them all up,
neutrons plus protons.

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We use the letter Z for protons.

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And we get a number that
we call a mass number.

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So this is uranium 238.

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So named by the mass
number, it means it has--

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uranium means it has 92 protons.

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238 means it has 238
protons and neutrons.

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And so what can change between
other forms of uranium?

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The number of
neutrons, this part.

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That can change.

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But we never really
talk-- we never

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index atoms for whatever nuclei
by the number of neutrons,

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which happens to be 146 here.

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But we just talk
about it in terms

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of the number of protons,
which is the element,

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and the number of nucleons,
which gives us its weight.

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Roughly, a proton and a
neutron weigh the same thing.

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So what are the protons doing?

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Well, they are contributing
coulombic repulsive forces.

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This is electrostatic forces,
just like what causes your hair

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to stand up on end.

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They are contributing something
called the weak force, which

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we're not going to talk about,
but has to do with beta decay.

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And both of these are
contributing something

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called the strong force.

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And the strong force
is what is really

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gluing the nucleus together.

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And so let's talk a little
bit about the strong force.

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The strong force
is a little weird.

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So this is a plot of
the potential energy

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on the left versus distance
between two nucleons.

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And this is a plot
of the strong force.

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I didn't plot here the
coulombic repulsion,

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which is also in play.

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Coulombic repulsion just
goes as 1 over r squared.

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So we would see that this thing
would have a kind of curve

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like that.

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The strong nuclear
force doesn't just

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pull or push uniformly
like the coulombic force.

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It has this minima here.

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So what this is
saying is there's

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an energy minimum, which is
to say a favorable plot right

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here below 1 fm.

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Does anyone know what an fm is?

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STUDENT: Femtometer?

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PROFESSOR: A femtometer.

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10 to the minus 15 meters.

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So a very tiny distance.

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It's the approximate
distance between nucleons.

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So you can see that as you go
to shorter distances, suddenly,

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this force becomes
repulsive, which

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is to say its potential
energy becomes positive.

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And so if you try to cram
these nucleons together,

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they push back.

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If you go to longer distances,
it never becomes positive,

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but just falls off and becomes
weaker, and weaker, and weaker.

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And it quickly approaches zero.

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It's right out here
around 3 femtometers,

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which is not very far,
smaller than the diameter

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of the nucleus.

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Already this thing is
very close to zero.

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So typically, it falls
off as 1 r to the fourth.

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And so the effect is
that it doesn't just

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suck up other nucleons
in the environment

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and build bigger and
bigger molecules.

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It only works if you get
the nucleon really, really

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close to another
nucleon, and then it

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goes poof and sticks together.

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And that's an important feature.

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So you can see here this
is why the average distance

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between nucleons
in an atom will be

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around 0.8 femtometers in size.

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Now, we can compare this.

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You can see this is
potential energy is measured

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in millions of electron volts.

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And you can see here
that it's something

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around minus 100 million.

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That's means you need to
add 100 million electron

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volts to get it out of this
well to separate the two things.

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How big is the coulombic force?

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The coulombic force, remember,
is electrostatic repulsion, say,

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between two protons.

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There's not really any more
space, but you could do it.

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It's 1 over 4 pi epsilon naught
if you remember your physics.

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You would integrate
the force from infinity

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to zero as a function of the
distance, where the force is

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equal to 1 over 4 pi epsilon
naught, q1, q2, which

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are the charges in this case.

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So we can call this e2,
the electron charge,

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over the distance squared.

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And if you do this
integral, you'll

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find out that the repulsive
energy that-- actually, we

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don't want to
integrate to zero we

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want to integrate
to, well, 0.8 fm.

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8 times 10 to the
minus 60 meters.

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If we do this integral, we'll
find out that the repulsive

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force is about 1.4-ish MeV,
which is 1% of the attractive

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force from the strong force.

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So that's why this attractive
force glues it together.

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It overcomes the repulsive
force from electrostatic charges

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from the two positive charges.

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So this is the picture
in play for two nucleons.

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But it's actually a lot
more complicated than this.

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There are a few other
things that count here.

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There is something called spin.

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And these exclusion
rules, which force

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every nucleon to
have a different spin

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and a different energy state.

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But that is why nuclei have
specific configurations.

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That's why you can't take
one proton and 37 neutrons

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and stick them together.

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Despite the fact that the
strong force would suggest

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they would all
stick together, they

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won't because of all these
other rules related to the spin.

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So yes, you can't make
helium 39, if you will.

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So this is the
table of isotopes.

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This is showing you along the
bottom the number of protons.

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So in other words, this
is the periodic table

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starting over here with
hydrogen and going up

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through all the elements.

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92 of course, is uranium--
number of protons.

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And this is the
number of neutrons.

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We talked about this earlier.

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So it's the mass minus z number.

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And you'll see that these
are basically the ones that

00:11:11.900 --> 00:11:13.320 align:middle line:90%
are allowed by nature.

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They're color coded
by their lifetime.

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So the light blue
ones have lifetimes

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of around 10 nanoseconds,
and they go all the way

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to black, which are
stable, which means

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they do not radioactive decay.

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So this sort of suggests that
these things could be created,

00:11:36.740 --> 00:11:39.900 align:middle line:84%
but they would have
such short lifetimes,

00:11:39.900 --> 00:11:41.560 align:middle line:84%
they don't bother
to color code them.

00:11:41.560 --> 00:11:43.620 align:middle line:84%
They just instantly
disintegrate.

00:11:43.620 --> 00:11:45.340 align:middle line:84%
And then they become
more and more stable

00:11:45.340 --> 00:11:47.080 align:middle line:90%
as you get towards this line.

00:11:47.080 --> 00:11:51.220 align:middle line:90%


00:11:51.220 --> 00:11:54.650 align:middle line:84%
So this is all related to that
color force, color charge, spin,

00:11:54.650 --> 00:11:58.580 align:middle line:90%
et cetera, and so on, and so on.

00:11:58.580 --> 00:12:03.620 align:middle line:84%
Now, it's some
combination of these.

00:12:03.620 --> 00:12:07.680 align:middle line:84%
If it takes energy to assemble
all these nuclei together,

00:12:07.680 --> 00:12:10.340 align:middle line:84%
it also suggests that
when we disassemble them,

00:12:10.340 --> 00:12:11.980 align:middle line:90%
we get some energy back.

00:12:11.980 --> 00:12:15.900 align:middle line:84%
And so you could ask the
question, when one of these--

00:12:15.900 --> 00:12:19.140 align:middle line:84%
when one of these
atoms decays, do

00:12:19.140 --> 00:12:21.300 align:middle line:90%
we get useful energy out of it.

00:12:21.300 --> 00:12:22.280 align:middle line:90%
And the answer is yes.

00:12:22.280 --> 00:12:25.960 align:middle line:84%
We can get useful energy out
of just radioactive decay.

00:12:25.960 --> 00:12:29.020 align:middle line:84%
So here is a
picture of plutonium

00:12:29.020 --> 00:12:34.300 align:middle line:84%
238, a form of plutonium
that is kind of rare.

00:12:34.300 --> 00:12:38.930 align:middle line:84%
But you can, through
lots of effort,

00:12:38.930 --> 00:12:41.850 align:middle line:84%
assemble macroscopic
quantities of it.

00:12:41.850 --> 00:12:44.290 align:middle line:84%
This thing has a half
life of 87 years, which

00:12:44.290 --> 00:12:46.490 align:middle line:84%
means half of the
plutonium atoms

00:12:46.490 --> 00:12:49.790 align:middle line:84%
undergo radioactive
decay every 87 years.

00:12:49.790 --> 00:12:53.810 align:middle line:90%


00:12:53.810 --> 00:12:55.250 align:middle line:90%
This is not in air.

00:12:55.250 --> 00:12:58.330 align:middle line:84%
This is in either a
vacuum environment

00:12:58.330 --> 00:13:01.550 align:middle line:84%
or a low-pressure
inert gas environment,

00:13:01.550 --> 00:13:04.130 align:middle line:84%
because plutonium is
extremely chemically reactive,

00:13:04.130 --> 00:13:06.290 align:middle line:90%
thanks to its D orbitals.

00:13:06.290 --> 00:13:09.610 align:middle line:84%
But you can see that it
generates so much heat

00:13:09.610 --> 00:13:11.610 align:middle line:90%
that it turns red hot.

00:13:11.610 --> 00:13:15.090 align:middle line:84%
The natural color of
this metal is silver,

00:13:15.090 --> 00:13:18.810 align:middle line:84%
but it is so hot that
it is just glowing

00:13:18.810 --> 00:13:20.770 align:middle line:90%
because it is self-heating.

00:13:20.770 --> 00:13:23.770 align:middle line:84%
So you can take a
chunk of stuff that

00:13:23.770 --> 00:13:26.930 align:middle line:84%
just from radioactive decay,
produces a useful amount of heat

00:13:26.930 --> 00:13:28.990 align:middle line:84%
that you could then
extract at that.

00:13:28.990 --> 00:13:31.830 align:middle line:84%
And we indeed use this
isotope, plutonium 38,

00:13:31.830 --> 00:13:37.330 align:middle line:84%
to power what we call RTGS,
radio isotope thermoelectric

00:13:37.330 --> 00:13:41.690 align:middle line:84%
generators, which are what power
spacecraft, like the Voyager

00:13:41.690 --> 00:13:44.690 align:middle line:84%
spacecraft that goes
into deep space.

00:13:44.690 --> 00:13:46.330 align:middle line:84%
There are also
other elements that

00:13:46.330 --> 00:13:48.430 align:middle line:84%
are less exotic than
this one that do this.

00:13:48.430 --> 00:13:50.950 align:middle line:84%
They don't typically
produce as much energy.

00:13:50.950 --> 00:13:53.130 align:middle line:84%
They don't necessarily
glow red hot.

00:13:53.130 --> 00:13:56.250 align:middle line:84%
But for example, strontium
90 and cesium 137

00:13:56.250 --> 00:13:59.570 align:middle line:84%
were isotopes that were
used by the Soviet Union

00:13:59.570 --> 00:14:02.070 align:middle line:90%
to make these devices.

00:14:02.070 --> 00:14:03.650 align:middle line:84%
You can see they
have cooling fins

00:14:03.650 --> 00:14:07.930 align:middle line:84%
and they are filled with
radioactive stuff that

00:14:07.930 --> 00:14:11.210 align:middle line:84%
makes heat, that then
drives a thermocouple.

00:14:11.210 --> 00:14:15.330 align:middle line:84%
And then that
produces electricity.

00:14:15.330 --> 00:14:17.630 align:middle line:84%
These were basically
nuclear batteries.

00:14:17.630 --> 00:14:20.190 align:middle line:84%
They had working lines
of about 10 to 20 years,

00:14:20.190 --> 00:14:27.850 align:middle line:84%
and they were used to power
these lighthouses on the Arctic

00:14:27.850 --> 00:14:31.890 align:middle line:84%
sea, where people basically
couldn't live there

00:14:31.890 --> 00:14:33.620 align:middle line:90%
because it was too remote.

00:14:33.620 --> 00:14:36.320 align:middle line:84%
But they needed some
kind of lighthouse

00:14:36.320 --> 00:14:39.960 align:middle line:84%
to protect ships that were
transiting in the region.

00:14:39.960 --> 00:14:42.400 align:middle line:84%
The beta decay, which is
the primary source of energy

00:14:42.400 --> 00:14:44.420 align:middle line:84%
is, of course, all trapped
by this metal casing.

00:14:44.420 --> 00:14:48.300 align:middle line:84%
But it's the gammas that
you have to worry about.

00:14:48.300 --> 00:14:54.040 align:middle line:84%
So I said some isotopes, those
marked in black, are stable.

00:14:54.040 --> 00:14:57.220 align:middle line:84%
What I mean by stable means that
they just will last forever.

00:14:57.220 --> 00:15:02.560 align:middle line:84%
There's no natural perturbations
of their nucleus, which

00:15:02.560 --> 00:15:06.320 align:middle line:84%
will lead to the elements
spontaneously decaying

00:15:06.320 --> 00:15:09.760 align:middle line:84%
or the isotope spontaneously
decaying into another isotope.

00:15:09.760 --> 00:15:14.440 align:middle line:84%
But even so, some
isotopes can be

00:15:14.440 --> 00:15:17.560 align:middle line:84%
said to be more
stable than others,

00:15:17.560 --> 00:15:21.420 align:middle line:84%
which is to say they are further
down that potential energy well.

00:15:21.420 --> 00:15:25.120 align:middle line:90%
They're more stable.

00:15:25.120 --> 00:15:28.100 align:middle line:84%
So they're more
tightly bound together.

00:15:28.100 --> 00:15:31.000 align:middle line:84%
So this gets us to
this chart, which

00:15:31.000 --> 00:15:34.160 align:middle line:84%
is called the curve of
binding energy, which is also

00:15:34.160 --> 00:15:36.700 align:middle line:84%
the name of a book
by John McPhee,

00:15:36.700 --> 00:15:40.280 align:middle line:84%
if you're interested,
that has got

00:15:40.280 --> 00:15:44.260 align:middle line:84%
interesting stuff about the
history of the atomic age,

00:15:44.260 --> 00:15:45.360 align:middle line:90%
if you are--

00:15:45.360 --> 00:15:46.860 align:middle line:84%
So let me just
explain what this is.

00:15:46.860 --> 00:15:50.560 align:middle line:84%
These are different
isotopes now plotted.

00:15:50.560 --> 00:15:53.900 align:middle line:84%
It's kind of mixed up
because this is not element.

00:15:53.900 --> 00:15:58.280 align:middle line:84%
This is now number
of nucleons in the--

00:15:58.280 --> 00:16:01.840 align:middle line:84%
so you have different elements
right next to each other.

00:16:01.840 --> 00:16:04.740 align:middle line:84%
But typically, the lighter
elements will be over here,

00:16:04.740 --> 00:16:07.600 align:middle line:84%
and the heavier elements
will be over here.

00:16:07.600 --> 00:16:11.420 align:middle line:84%
And on the y-axis is
the binding energy,

00:16:11.420 --> 00:16:15.560 align:middle line:84%
which is how deep are you
into the well of stability

00:16:15.560 --> 00:16:17.520 align:middle line:90%
per nucleon.

00:16:17.520 --> 00:16:21.920 align:middle line:84%
So you divide by the number
of nucleons in the atom.

00:16:21.920 --> 00:16:25.200 align:middle line:84%
And you'll notice
this overall trend.

00:16:25.200 --> 00:16:28.240 align:middle line:84%
When nuclei are very
light or very heavy,

00:16:28.240 --> 00:16:32.470 align:middle line:84%
the binding energy
per nucleon is lower.

00:16:32.470 --> 00:16:36.750 align:middle line:84%
And so those isotopes are not
as tightly bound, if you will,

00:16:36.750 --> 00:16:38.450 align:middle line:90%
as these here in the middle.

00:16:38.450 --> 00:16:44.590 align:middle line:84%
So you see iron is basically
as tight as it gets.

00:16:44.590 --> 00:16:47.390 align:middle line:84%
And that's why everything
decays to iron.

00:16:47.390 --> 00:16:50.630 align:middle line:84%
And it's why the center of
the Earth is full of iron,

00:16:50.630 --> 00:16:53.230 align:middle line:84%
because there's nowhere else
to go after you get iron.

00:16:53.230 --> 00:16:59.070 align:middle line:84%
That is the most stable
element that you can make.

00:16:59.070 --> 00:17:06.609 align:middle line:84%
So for radioactive elements, the
starting isotope is, of course,

00:17:06.609 --> 00:17:07.990 align:middle line:90%
unstable.

00:17:07.990 --> 00:17:09.329 align:middle line:90%
What does that mean?

00:17:09.329 --> 00:17:12.190 align:middle line:84%
It just means that there's
a simple transition.

00:17:12.190 --> 00:17:14.550 align:middle line:84%
You see if I have a
little-- yes, here I go.

00:17:14.550 --> 00:17:16.670 align:middle line:84%
There's a simple
transition in which

00:17:16.670 --> 00:17:18.430 align:middle line:84%
it can do something
with a nucleon

00:17:18.430 --> 00:17:21.990 align:middle line:84%
and move up to a
more stable state.

00:17:21.990 --> 00:17:23.869 align:middle line:90%
That is radioactive decay.

00:17:23.869 --> 00:17:28.150 align:middle line:84%
It's just like going
from this state

00:17:28.150 --> 00:17:30.950 align:middle line:84%
into a slightly
more stable state.

00:17:30.950 --> 00:17:32.530 align:middle line:84%
So let's attach some
numbers to this.

00:17:32.530 --> 00:17:34.510 align:middle line:84%
You can see the size
of the change that

00:17:34.510 --> 00:17:37.630 align:middle line:84%
is on the left are
in units of MeV.

00:17:37.630 --> 00:17:41.710 align:middle line:84%
And you can see that
this little tiny change

00:17:41.710 --> 00:17:48.230 align:middle line:84%
from radioactive decay was
pretty small, much less

00:17:48.230 --> 00:17:51.950 align:middle line:84%
than an MeV, maybe a tenth of
an MeV or something like that.

00:17:51.950 --> 00:17:54.570 align:middle line:84%
And that's kind of typical
of radioactive decay.

00:17:54.570 --> 00:18:01.470 align:middle line:84%
They're usually in the
100 KeV to 1 MeV range.

00:18:01.470 --> 00:18:03.130 align:middle line:90%
That's, of course, per nucleon.

00:18:03.130 --> 00:18:06.910 align:middle line:84%
So this tiny little
change has to be

00:18:06.910 --> 00:18:09.450 align:middle line:90%
multiplied by a factor of 120.

00:18:09.450 --> 00:18:12.630 align:middle line:84%
So it's tiny, tiny little
change, but then multiplied by--

00:18:12.630 --> 00:18:15.670 align:middle line:84%
I'm trying to get
something of order MeV.

00:18:15.670 --> 00:18:22.390 align:middle line:84%
Recall that 1 MeV is still 1.6
times 10 to the minus 13 joules.

00:18:22.390 --> 00:18:26.020 align:middle line:84%
It's a very tiny
amount of energy.

00:18:26.020 --> 00:18:31.900 align:middle line:84%
You need 4 joules to heat about
that much water one degree.

00:18:31.900 --> 00:18:37.740 align:middle line:84%
So this is just a teensy
tiny bit of energy.

00:18:37.740 --> 00:18:39.220 align:middle line:84%
You need trillions
of these things

00:18:39.220 --> 00:18:41.860 align:middle line:84%
to heat this a quarter
of a degree, 10 trillion

00:18:41.860 --> 00:18:44.820 align:middle line:84%
to heat this amount of
water a quarter of a degree.

00:18:44.820 --> 00:18:48.080 align:middle line:84%
But the key point is
that atoms, of course,

00:18:48.080 --> 00:18:50.240 align:middle line:90%
come in large numbers.

00:18:50.240 --> 00:18:54.540 align:middle line:84%
So you all know from high school
that Avogadro's number is 6.022

00:18:54.540 --> 00:18:57.760 align:middle line:84%
times 10 to the
23rd, so is a mole,

00:18:57.760 --> 00:19:02.340 align:middle line:84%
which is kind of a reasonable
number of atoms or this amount

00:19:02.340 --> 00:19:04.060 align:middle line:90%
of atoms kind of thing.

00:19:04.060 --> 00:19:08.460 align:middle line:84%
And so when you have a whole
lot of these things decaying,

00:19:08.460 --> 00:19:10.540 align:middle line:84%
you can indeed get
useful quantities

00:19:10.540 --> 00:19:13.180 align:middle line:84%
like that regular electric
thermal generators I showed you

00:19:13.180 --> 00:19:16.220 align:middle line:90%
on the previous page.

00:19:16.220 --> 00:19:17.060 align:middle line:90%
All right.

00:19:17.060 --> 00:19:19.820 align:middle line:84%
The problem with using
radioactive decay

00:19:19.820 --> 00:19:25.540 align:middle line:84%
as a source of energy is that
you wait for this process

00:19:25.540 --> 00:19:27.500 align:middle line:90%
to happen on its own.

00:19:27.500 --> 00:19:31.060 align:middle line:84%
And each isotope,
by force of nature

00:19:31.060 --> 00:19:34.500 align:middle line:84%
has some time scale
called the half life,

00:19:34.500 --> 00:19:36.720 align:middle line:84%
which is going to tell
you how fast this happens.

00:19:36.720 --> 00:19:41.100 align:middle line:84%
And that's what you've got
to work with, and that's it.

00:19:41.100 --> 00:19:43.320 align:middle line:84%
So if you want to
do something useful,

00:19:43.320 --> 00:19:45.160 align:middle line:84%
we would like to
have this happen,

00:19:45.160 --> 00:19:48.420 align:middle line:84%
but we would like to stimulate
it, do something to the atoms

00:19:48.420 --> 00:19:50.780 align:middle line:90%
to control their release.

00:19:50.780 --> 00:19:53.920 align:middle line:84%
And that gives us into
these stimulated reactions,

00:19:53.920 --> 00:19:56.440 align:middle line:84%
which is what nuclear
engineering is about,

00:19:56.440 --> 00:19:58.460 align:middle line:84%
figuring out how to
make the nucleus do

00:19:58.460 --> 00:20:02.820 align:middle line:84%
the things we want to do
to extract this energy

00:20:02.820 --> 00:20:05.100 align:middle line:90%
from the strong force.

00:20:05.100 --> 00:20:07.840 align:middle line:84%
And that's what we're
really going to look at.

00:20:07.840 --> 00:20:10.780 align:middle line:90%
So how do we do this?

00:20:10.780 --> 00:20:11.320 align:middle line:90%
All right.

00:20:11.320 --> 00:20:16.620 align:middle line:84%
So we talked in the last
class about the discovery

00:20:16.620 --> 00:20:19.260 align:middle line:84%
of nuclear energy being
tied to the question, what

00:20:19.260 --> 00:20:20.640 align:middle line:90%
makes the stars burn?

00:20:20.640 --> 00:20:24.970 align:middle line:84%
And indeed, that is one of
the most useful reactions

00:20:24.970 --> 00:20:25.950 align:middle line:90%
that we can have.

00:20:25.950 --> 00:20:30.410 align:middle line:84%
So here's a very
common fusion reaction

00:20:30.410 --> 00:20:32.810 align:middle line:84%
where we're going
to join together two

00:20:32.810 --> 00:20:36.290 align:middle line:90%
nuclei to make a new nuclei.

00:20:36.290 --> 00:20:38.770 align:middle line:90%
Therefore, it's fusion.

00:20:38.770 --> 00:20:41.770 align:middle line:84%
And the ones we're going
to choose for this example

00:20:41.770 --> 00:20:47.330 align:middle line:90%
are hydrogen 2 and hydrogen 3.

00:20:47.330 --> 00:20:50.730 align:middle line:84%
So hydrogen 2 means that it
has one proton and one neutron,

00:20:50.730 --> 00:20:52.850 align:middle line:90%
two nucleons, hydrogen 2.

00:20:52.850 --> 00:20:56.170 align:middle line:84%
Hydrogen 3 is one
proton and two neutrons.

00:20:56.170 --> 00:21:00.270 align:middle line:84%
And these are also known
as deuterium and tritium.

00:21:00.270 --> 00:21:02.630 align:middle line:84%
Does anyone know what
hydrogen 1 is called?

00:21:02.630 --> 00:21:05.330 align:middle line:90%


00:21:05.330 --> 00:21:06.530 align:middle line:90%
STUDENT: Proton?

00:21:06.530 --> 00:21:07.030 align:middle line:90%
No.

00:21:07.030 --> 00:21:08.238 align:middle line:90%
PROFESSOR: You're very close.

00:21:08.238 --> 00:21:08.910 align:middle line:90%
It is a proton.

00:21:08.910 --> 00:21:13.050 align:middle line:84%
If it had no electron, it
would just be a proton.

00:21:13.050 --> 00:21:15.030 align:middle line:84%
STUDENT: That's why
I tried to guess.

00:21:15.030 --> 00:21:17.730 align:middle line:90%
PROFESSOR: You were very close.

00:21:17.730 --> 00:21:19.690 align:middle line:84%
Actually, for some
reason, we never

00:21:19.690 --> 00:21:22.330 align:middle line:84%
tell students what
hydrogen 1 is called.

00:21:22.330 --> 00:21:23.370 align:middle line:90%
It's called protium.

00:21:23.370 --> 00:21:26.370 align:middle line:90%
Useful to know.

00:21:26.370 --> 00:21:27.690 align:middle line:90%
You'll run across it.

00:21:27.690 --> 00:21:32.650 align:middle line:84%
Protium, deuterium and tritium
are hydrogen 1, 2 and 3.

00:21:32.650 --> 00:21:34.510 align:middle line:90%
So yes.

00:21:34.510 --> 00:21:37.950 align:middle line:84%
So we won't use protium, but
we'll use deuterium and tritium.

00:21:37.950 --> 00:21:39.750 align:middle line:84%
Deuterium can be
found in ocean water.

00:21:39.750 --> 00:21:42.450 align:middle line:90%
Tritium is exotic.

00:21:42.450 --> 00:21:45.890 align:middle line:84%
You have to make it
in a nuclear reactor.

00:21:45.890 --> 00:21:51.850 align:middle line:84%
But this is the
reaction that powers

00:21:51.850 --> 00:21:56.570 align:middle line:84%
virtually all practical
modern fusion concepts.

00:21:56.570 --> 00:21:58.730 align:middle line:84%
So when you put
these together, you

00:21:58.730 --> 00:22:08.290 align:middle line:84%
get two protons and
three neutrons out.

00:22:08.290 --> 00:22:12.210 align:middle line:84%
And so two protons
means you get helium.

00:22:12.210 --> 00:22:15.350 align:middle line:84%
And one of those
neutrons will not bind.

00:22:15.350 --> 00:22:17.290 align:middle line:90%
It comes out as a free neutron.

00:22:17.290 --> 00:22:21.920 align:middle line:84%
And so you get helium
4 and free neutron.

00:22:21.920 --> 00:22:27.040 align:middle line:84%
So let's just do a
little quick calculation.

00:22:27.040 --> 00:22:32.180 align:middle line:90%
So beforehand, we had--

00:22:32.180 --> 00:22:32.680 align:middle line:90%
let's see.

00:22:32.680 --> 00:22:34.480 align:middle line:90%
We had one.

00:22:34.480 --> 00:22:36.900 align:middle line:84%
Well, let's figure out
how much energy out.

00:22:36.900 --> 00:22:40.160 align:middle line:84%
So the binding energy
of the final state

00:22:40.160 --> 00:22:42.740 align:middle line:84%
minus the binding energy
of the previous state.

00:22:42.740 --> 00:22:47.880 align:middle line:84%
So the binding energy of
the final state is helium 4.

00:22:47.880 --> 00:22:52.480 align:middle line:84%
And if you look at the plot,
it's 7 MeV per nucleon.

00:22:52.480 --> 00:22:56.960 align:middle line:84%
So we have 7 times 4 because
helium 4 has four nucleons.

00:22:56.960 --> 00:22:59.300 align:middle line:84%
Plus what is the binding
energy of a free neutron?

00:22:59.300 --> 00:23:02.040 align:middle line:90%


00:23:02.040 --> 00:23:07.640 align:middle line:90%
Zero minus the input.

00:23:07.640 --> 00:23:08.700 align:middle line:90%
That's not me moving.

00:23:08.700 --> 00:23:09.960 align:middle line:90%
That is the projector moving.

00:23:09.960 --> 00:23:12.432 align:middle line:90%
[LAUGHS]

00:23:12.432 --> 00:23:14.320 align:middle line:90%
Minus the inputs.

00:23:14.320 --> 00:23:16.200 align:middle line:90%
Whoa.

00:23:16.200 --> 00:23:17.580 align:middle line:90%
It only happens when I talk.

00:23:17.580 --> 00:23:20.840 align:middle line:90%


00:23:20.840 --> 00:23:25.200 align:middle line:84%
So we have one deuterium,
which has a binding energy

00:23:25.200 --> 00:23:28.920 align:middle line:90%
of about 1 MeV per nucleon.

00:23:28.920 --> 00:23:35.600 align:middle line:84%
So 1 times 2 nucleons
minus helium 3,

00:23:35.600 --> 00:23:39.960 align:middle line:84%
which has a binding
energy of about 2.8.

00:23:39.960 --> 00:23:43.620 align:middle line:90%
2.8 times 3 nucleons.

00:23:43.620 --> 00:23:45.620 align:middle line:84%
Does anyone want to run
that on a calculator?

00:23:45.620 --> 00:23:54.160 align:middle line:90%


00:23:54.160 --> 00:23:55.970 align:middle line:90%
7.4.

00:23:55.970 --> 00:24:00.960 align:middle line:84%
7 times 4, minus 2,
minus 3, times 2.8.

00:24:00.960 --> 00:24:01.920 align:middle line:90%
STUDENT: 17.6.

00:24:01.920 --> 00:24:03.200 align:middle line:90%
PROFESSOR: 17.6.

00:24:03.200 --> 00:24:06.932 align:middle line:84%
That is indeed the amount of
energy you get from DT fusion.

00:24:06.932 --> 00:24:08.140 align:middle line:90%
So that's where it come from.

00:24:08.140 --> 00:24:11.640 align:middle line:84%
It's just this rearranging of
the nucleons along this curve

00:24:11.640 --> 00:24:14.320 align:middle line:90%
of binding energy.

00:24:14.320 --> 00:24:22.630 align:middle line:84%
So 17.6 MeV, compared to
approximately 1/10 to 1 MeV from

00:24:22.630 --> 00:24:24.110 align:middle line:90%
radioactive decay.

00:24:24.110 --> 00:24:28.510 align:middle line:84%
So we get a lot more energy
from this stimulated reaction

00:24:28.510 --> 00:24:32.110 align:middle line:84%
than we get if we just
rely on radioactive decay.

00:24:32.110 --> 00:24:35.830 align:middle line:84%
And we can control the rate,
whereas radioactive decay, we're

00:24:35.830 --> 00:24:38.350 align:middle line:84%
sitting around and
saying half of them

00:24:38.350 --> 00:24:40.010 align:middle line:84%
will decay in a
certain period of time.

00:24:40.010 --> 00:24:42.270 align:middle line:90%
Now we can just do our thing.

00:24:42.270 --> 00:24:47.230 align:middle line:84%
So that is the
magic of DT fusion.

00:24:47.230 --> 00:24:48.930 align:middle line:90%
This is a reaction written out.

00:24:48.930 --> 00:24:49.930 align:middle line:90%
There it is, the answer.

00:24:49.930 --> 00:24:53.070 align:middle line:90%
Very good.

00:24:53.070 --> 00:24:55.230 align:middle line:90%
Why is this hard?

00:24:55.230 --> 00:24:58.510 align:middle line:84%
Well, remember the curve of--
remember that strong force fell

00:24:58.510 --> 00:25:02.750 align:middle line:90%
to zero at around 3 Fermi?

00:25:02.750 --> 00:25:05.630 align:middle line:84%
That's what has to stick
these things together.

00:25:05.630 --> 00:25:08.190 align:middle line:84%
In the meantime, we
have the repulsive force

00:25:08.190 --> 00:25:09.550 align:middle line:90%
from the protons.

00:25:09.550 --> 00:25:11.190 align:middle line:90%
Like charges repel.

00:25:11.190 --> 00:25:13.850 align:middle line:84%
And that is preventing
this from happening.

00:25:13.850 --> 00:25:16.430 align:middle line:84%
And that extends much further
in space because it goes as 1

00:25:16.430 --> 00:25:18.150 align:middle line:90%
over r squared.

00:25:18.150 --> 00:25:21.510 align:middle line:84%
And so to overcome that, we
have to speed these things up

00:25:21.510 --> 00:25:26.070 align:middle line:84%
so fast that as the coulombic
repulsion is slowing them down,

00:25:26.070 --> 00:25:29.510 align:middle line:84%
it still keeps going to the
point where it snaps together.

00:25:29.510 --> 00:25:34.030 align:middle line:84%
And that requires temperatures
of 10 million degrees.

00:25:34.030 --> 00:25:35.970 align:middle line:90%
And that is why fusion is hard.

00:25:35.970 --> 00:25:39.350 align:middle line:84%
We have to stably
confine these molecules,

00:25:39.350 --> 00:25:42.350 align:middle line:84%
get them close together,
and heat them up

00:25:42.350 --> 00:25:44.190 align:middle line:90%
to 10 million degrees.

00:25:44.190 --> 00:25:46.230 align:middle line:90%
This is really annoying.

00:25:46.230 --> 00:25:51.270 align:middle line:90%
And that is not easy to do.

00:25:51.270 --> 00:25:52.690 align:middle line:90%
All right, so that's fusion.

00:25:52.690 --> 00:25:53.650 align:middle line:90%
What about fission?

00:25:53.650 --> 00:25:56.310 align:middle line:84%
What can you do
with heavy nuclei?

00:25:56.310 --> 00:25:58.430 align:middle line:90%
Story is a little bit different.

00:25:58.430 --> 00:26:01.350 align:middle line:84%
Stimulated reactions
to heavy nuclei,

00:26:01.350 --> 00:26:02.850 align:middle line:84%
there are lots of
them that exist.

00:26:02.850 --> 00:26:06.210 align:middle line:84%
This is one example of what's
called the n, 2n reaction.

00:26:06.210 --> 00:26:12.100 align:middle line:84%
You shoot a neutron at a nucleus
and it kicks off two neutrons.

00:26:12.100 --> 00:26:15.420 align:middle line:84%
And so you unbind one
neutron, and you get a change

00:26:15.420 --> 00:26:17.780 align:middle line:90%
and you get some energy out.

00:26:17.780 --> 00:26:23.060 align:middle line:84%
The problem with this is, when
you do the math, what happens

00:26:23.060 --> 00:26:27.740 align:middle line:84%
is you get basically the same
as radioactive decay, fractions

00:26:27.740 --> 00:26:29.780 align:middle line:90%
of an MeV, typically.

00:26:29.780 --> 00:26:34.380 align:middle line:84%
So you can do this, but it's
not buying you very much.

00:26:34.380 --> 00:26:36.940 align:middle line:84%
And in order to make these high
energy neutrons, to do this

00:26:36.940 --> 00:26:38.260 align:middle line:90%
is not trivial.

00:26:38.260 --> 00:26:42.660 align:middle line:84%
So it's not a net energy
producer generally.

00:26:42.660 --> 00:26:46.300 align:middle line:84%
However, for a few
special nuclei,

00:26:46.300 --> 00:26:52.220 align:middle line:84%
and indeed, only one nucleus
found in nature, uranium 235,

00:26:52.220 --> 00:26:54.580 align:middle line:84%
you can stimulate this
weird reaction called

00:26:54.580 --> 00:26:57.340 align:middle line:84%
a fission reaction, which
is what is showing here.

00:26:57.340 --> 00:27:00.060 align:middle line:84%
For some reason
with this nucleus,

00:27:00.060 --> 00:27:03.300 align:middle line:84%
when you shoot one neutron,
the whole thing splits in half.

00:27:03.300 --> 00:27:07.660 align:middle line:84%
And now when you do your
calculation per nucleon,

00:27:07.660 --> 00:27:11.180 align:middle line:84%
it turns out you get
about 200 MeV out,

00:27:11.180 --> 00:27:13.700 align:middle line:90%
which is a lot more energy.

00:27:13.700 --> 00:27:16.900 align:middle line:84%
And so this is the
reaction on which

00:27:16.900 --> 00:27:21.140 align:middle line:84%
all fission, nuclear energy, all
current working nuclear energy

00:27:21.140 --> 00:27:22.260 align:middle line:90%
is based.

00:27:22.260 --> 00:27:26.420 align:middle line:84%
And it exists strictly
because this one isotope

00:27:26.420 --> 00:27:28.100 align:middle line:90%
exists in nature.

00:27:28.100 --> 00:27:31.900 align:middle line:84%
You could not do it if
this isotope did not

00:27:31.900 --> 00:27:34.820 align:middle line:90%
exist, uranium 235.

00:27:34.820 --> 00:27:37.680 align:middle line:84%
So let's just briefly look
at what's happening here.

00:27:37.680 --> 00:27:40.620 align:middle line:84%
We're going from over
there on the right.

00:27:40.620 --> 00:27:44.840 align:middle line:84%
And the fission is
random in where it lands.

00:27:44.840 --> 00:27:47.020 align:middle line:84%
It breaks into different
sized fragments and lands

00:27:47.020 --> 00:27:51.160 align:middle line:84%
in different places,
but roughly over there.

00:27:51.160 --> 00:27:54.620 align:middle line:84%
And you see that the change
in binding energy per nucleon

00:27:54.620 --> 00:27:59.720 align:middle line:84%
is small, let's say,
order 1 MeV per nucleon.

00:27:59.720 --> 00:28:05.190 align:middle line:84%
But we have 200 nucleons,
and so we get 200 MeV.

00:28:05.190 --> 00:28:06.940 align:middle line:84%
And that's how you get
a meaningful amount

00:28:06.940 --> 00:28:11.790 align:middle line:90%
of energy out of fission.

00:28:11.790 --> 00:28:16.310 align:middle line:84%
So a meaningful amount of energy
still has quotes around it,

00:28:16.310 --> 00:28:23.550 align:middle line:84%
because just to remind you,
that 200 MeV is still 1/300

00:28:23.550 --> 00:28:27.210 align:middle line:84%
trillionth of what you get
from burning a matchstick.

00:28:27.210 --> 00:28:29.190 align:middle line:90%
So it's tiny.

00:28:29.190 --> 00:28:34.850 align:middle line:84%
So how do we get this up
to macroscopic levels?

00:28:34.850 --> 00:28:38.970 align:middle line:84%
Well, with a fusion
reactor, we can figure out

00:28:38.970 --> 00:28:41.440 align:middle line:84%
how much energy we
want from our reaction,

00:28:41.440 --> 00:28:43.690 align:middle line:84%
figure out how many moles
of deuterium and tritium gas

00:28:43.690 --> 00:28:45.810 align:middle line:84%
we need to pump
into the reactor.

00:28:45.810 --> 00:28:48.890 align:middle line:84%
You pump it in there, you
heat it up, it goes poof,

00:28:48.890 --> 00:28:51.730 align:middle line:84%
and it blows up, and it
all reacts, you hope.

00:28:51.730 --> 00:28:55.690 align:middle line:84%
And you get some energy
out and everything is over.

00:28:55.690 --> 00:29:01.010 align:middle line:84%
But you can't really do that
with uranium because it's heavy,

00:29:01.010 --> 00:29:06.130 align:middle line:84%
and not a gas and not
easily moved around.

00:29:06.130 --> 00:29:10.890 align:middle line:84%
And so you need to build a
much more complicated device

00:29:10.890 --> 00:29:14.730 align:middle line:84%
to control the rate of fission,
if that's what you want to do.

00:29:14.730 --> 00:29:16.770 align:middle line:84%
So in the next 10
minutes, we'll talk

00:29:16.770 --> 00:29:20.490 align:middle line:84%
about how we control the
rate of fission in reactors.

00:29:20.490 --> 00:29:23.330 align:middle line:84%
Any questions up to
this point regarding

00:29:23.330 --> 00:29:25.890 align:middle line:90%
where the energy comes from?

00:29:25.890 --> 00:29:28.810 align:middle line:84%
It's all related to
the strong force.

00:29:28.810 --> 00:29:32.210 align:middle line:84%
That's what you
need to take away.

00:29:32.210 --> 00:29:35.250 align:middle line:84%
So we use this concept
called criticality,

00:29:35.250 --> 00:29:38.090 align:middle line:84%
which I'm going to illustrate
for you in a second.

00:29:38.090 --> 00:29:40.010 align:middle line:84%
The key thing I want
you to take away

00:29:40.010 --> 00:29:46.010 align:middle line:84%
is, criticality is fundamentally
a geometric consideration.

00:29:46.010 --> 00:29:49.850 align:middle line:84%
We sometimes talk
about a critical mass,

00:29:49.850 --> 00:29:54.110 align:middle line:84%
but actually, the critical mass
presumes a certain geometry.

00:29:54.110 --> 00:29:57.690 align:middle line:84%
It presumes, usually,
a spherical geometry.

00:29:57.690 --> 00:29:59.530 align:middle line:84%
If you change the
geometry or you

00:29:59.530 --> 00:30:01.590 align:middle line:84%
put a neutron reflector
or something else,

00:30:01.590 --> 00:30:04.040 align:middle line:90%
the critical mass changes.

00:30:04.040 --> 00:30:08.200 align:middle line:84%
The foundations of
criticality are geometric,

00:30:08.200 --> 00:30:10.400 align:middle line:90%
and you'll see why in a second.

00:30:10.400 --> 00:30:14.237 align:middle line:90%
So Szilard had this.

00:30:14.237 --> 00:30:15.820 align:middle line:84%
We saw in the last
class Szilard said,

00:30:15.820 --> 00:30:17.920 align:middle line:84%
I imagined if I was
crossing the street

00:30:17.920 --> 00:30:21.300 align:middle line:84%
and somehow one neutron
could be released,

00:30:21.300 --> 00:30:23.760 align:middle line:84%
it would do something
that would generate

00:30:23.760 --> 00:30:28.100 align:middle line:84%
two neutrons in the reaction,
which would be a chain reaction.

00:30:28.100 --> 00:30:29.960 align:middle line:84%
And he doesn't yet
identify that it

00:30:29.960 --> 00:30:32.920 align:middle line:84%
was uranium that is
doing that, but that's

00:30:32.920 --> 00:30:34.520 align:middle line:90%
the concept of a chain reaction.

00:30:34.520 --> 00:30:37.160 align:middle line:84%
So here's how a
chain reaction works.

00:30:37.160 --> 00:30:41.240 align:middle line:84%
In a subcritical
material, in fission--

00:30:41.240 --> 00:30:42.780 align:middle line:90%
I should probably go back here.

00:30:42.780 --> 00:30:45.840 align:middle line:90%


00:30:45.840 --> 00:30:48.520 align:middle line:84%
The key feature
of fission is-- we

00:30:48.520 --> 00:30:51.560 align:middle line:84%
talked about this was
Frederick Galileo's discovery.

00:30:51.560 --> 00:30:55.600 align:middle line:84%
One neutron comes in, fissions,
and more than one neutron

00:30:55.600 --> 00:30:56.800 align:middle line:90%
comes out.

00:30:56.800 --> 00:30:59.320 align:middle line:84%
That's what Frederick
Julio published

00:30:59.320 --> 00:31:02.400 align:middle line:84%
on the dawn of World War II
that showed that the chain

00:31:02.400 --> 00:31:04.620 align:middle line:90%
reaction was possible.

00:31:04.620 --> 00:31:09.440 align:middle line:84%
So we will take-- we will watch
as more than one fission--

00:31:09.440 --> 00:31:11.920 align:middle line:84%
more than one neutron
comes out of fission.

00:31:11.920 --> 00:31:13.140 align:middle line:90%
So let's run the simulation.

00:31:13.140 --> 00:31:13.920 align:middle line:90%
Here we go.

00:31:13.920 --> 00:31:17.060 align:middle line:84%
You see a neutron
flies in, it fissions,

00:31:17.060 --> 00:31:20.040 align:middle line:84%
it gives three neutrons,
it causes more fissions,

00:31:20.040 --> 00:31:22.520 align:middle line:90%
but it stops.

00:31:22.520 --> 00:31:26.680 align:middle line:84%
Because eventually,
the neutrons leak out.

00:31:26.680 --> 00:31:29.280 align:middle line:90%
This is the subcritical state.

00:31:29.280 --> 00:31:34.000 align:middle line:84%
It means that on average, fewer
than one neutrons stays within

00:31:34.000 --> 00:31:37.280 align:middle line:84%
the volume, and therefore,
the chain reaction cannot be

00:31:37.280 --> 00:31:37.860 align:middle line:90%
sustained.

00:31:37.860 --> 00:31:40.160 align:middle line:90%
So it is subcritical.

00:31:40.160 --> 00:31:42.120 align:middle line:84%
So we'll do the same
simulation, but we'll just

00:31:42.120 --> 00:31:43.240 align:middle line:90%
choose a larger mass.

00:31:43.240 --> 00:31:44.660 align:middle line:90%
And you'll see what happens.

00:31:44.660 --> 00:31:48.160 align:middle line:90%


00:31:48.160 --> 00:31:50.760 align:middle line:90%
It just takes off.

00:31:50.760 --> 00:31:54.000 align:middle line:84%
And so that is the
supercritical state.

00:31:54.000 --> 00:31:58.240 align:middle line:84%
So in a reactor, we have
to at least assemble

00:31:58.240 --> 00:32:02.990 align:middle line:84%
a supercritical amount in order
for the reactor to work at all.

00:32:02.990 --> 00:32:05.630 align:middle line:84%
And eventually, what
we want is for it

00:32:05.630 --> 00:32:10.950 align:middle line:84%
to grow until we have a certain
rate of fission reactions,

00:32:10.950 --> 00:32:13.645 align:middle line:84%
and then we actually don't
want it to keep growing.

00:32:13.645 --> 00:32:15.270 align:middle line:84%
And so we're going
to talk a little bit

00:32:15.270 --> 00:32:17.850 align:middle line:90%
about that in a moment.

00:32:17.850 --> 00:32:20.630 align:middle line:90%


00:32:20.630 --> 00:32:23.550 align:middle line:84%
You can see easily that
if you don't do anything

00:32:23.550 --> 00:32:27.750 align:middle line:84%
to prevent it from
continuing this expansion,

00:32:27.750 --> 00:32:31.190 align:middle line:84%
that the energy production
just scales exponentially.

00:32:31.190 --> 00:32:34.110 align:middle line:84%
And that's how you
make a nuclear bomb.

00:32:34.110 --> 00:32:36.190 align:middle line:84%
It's a simple
version of a reactor.

00:32:36.190 --> 00:32:39.790 align:middle line:90%
And so that's why it goes boom.

00:32:39.790 --> 00:32:40.370 align:middle line:90%
All right.

00:32:40.370 --> 00:32:44.150 align:middle line:84%
So how fast does
this process grow?

00:32:44.150 --> 00:32:49.590 align:middle line:84%
So in solid uranium metal, which
is an important caveat here,

00:32:49.590 --> 00:32:55.270 align:middle line:84%
the time between these fissions
is about 10 nanoseconds.

00:32:55.270 --> 00:32:58.510 align:middle line:84%
During the Manhattan
Project, they

00:32:58.510 --> 00:33:02.990 align:middle line:84%
discovered all of these
fundamental measures of fission,

00:33:02.990 --> 00:33:05.350 align:middle line:84%
and they had to give
all these things names.

00:33:05.350 --> 00:33:09.030 align:middle line:90%
And so this is called a shake.

00:33:09.030 --> 00:33:11.910 align:middle line:84%
It's as long as the
shake of a lamb's tail.

00:33:11.910 --> 00:33:13.550 align:middle line:90%
That's where it comes from.

00:33:13.550 --> 00:33:18.270 align:middle line:84%
And the probability
of a certain reaction

00:33:18.270 --> 00:33:20.390 align:middle line:84%
is measured by
the cross section,

00:33:20.390 --> 00:33:24.270 align:middle line:84%
which is a measure in
units of square area.

00:33:24.270 --> 00:33:28.350 align:middle line:84%
And the unit is called a barn
because it's as big as a barn.

00:33:28.350 --> 00:33:30.630 align:middle line:90%
It's the square area of a barn.

00:33:30.630 --> 00:33:36.510 align:middle line:84%
And so all of these things are
named after farm nomenclature.

00:33:36.510 --> 00:33:42.950 align:middle line:84%
And the Los Alamos lab
was called The Ranch.

00:33:42.950 --> 00:33:47.670 align:middle line:84%
So this is all leftovers
from the Manhattan Project.

00:33:47.670 --> 00:33:48.170 align:middle line:90%
All right.

00:33:48.170 --> 00:33:53.150 align:middle line:84%
So we have one shake, which
is 10 to the minus 8 seconds,

00:33:53.150 --> 00:33:56.980 align:middle line:84%
or 10 nanoseconds is
the time in between.

00:33:56.980 --> 00:33:59.460 align:middle line:84%
And you can say,
well, how long does

00:33:59.460 --> 00:34:07.380 align:middle line:84%
it take to get to, say, 10
to the 14 neutrons fissions,

00:34:07.380 --> 00:34:10.300 align:middle line:84%
at a rate of 10 to the
14 neutrons happening

00:34:10.300 --> 00:34:14.380 align:middle line:84%
simultaneously, which is what
you would need if you take--

00:34:14.380 --> 00:34:16.820 align:middle line:90%
the energy you require is--

00:34:16.820 --> 00:34:21.580 align:middle line:84%
I think I've skipped over
something in a previous slide.

00:34:21.580 --> 00:34:28.185 align:middle line:84%
The energy you would require
is something like 10 to the 20,

00:34:28.185 --> 00:34:31.840 align:middle line:84%
10 to the 22
fissions per second.

00:34:31.840 --> 00:34:36.880 align:middle line:84%
But every fission
takes 10 nanoseconds.

00:34:36.880 --> 00:34:39.560 align:middle line:84%
So when you do the math,
you want simultaneously,

00:34:39.560 --> 00:34:44.300 align:middle line:84%
at any moment, there would
be 10 to the approximately 14

00:34:44.300 --> 00:34:45.219 align:middle line:90%
fissions.

00:34:45.219 --> 00:34:48.500 align:middle line:84%
And then if you say, I
need 10 to the 14 fissions,

00:34:48.500 --> 00:34:53.199 align:middle line:84%
and I go up by, let's say,
2 and 1/2 per generation,

00:34:53.199 --> 00:34:57.020 align:middle line:84%
because I get about 2 and 1/2
neutrons out of the re-fission,

00:34:57.020 --> 00:35:01.840 align:middle line:84%
then I can say I have
2 and 1/2 to the n.

00:35:01.840 --> 00:35:10.500 align:middle line:90%


00:35:10.500 --> 00:35:12.420 align:middle line:90%
And I can say let's solve for n.

00:35:12.420 --> 00:35:15.660 align:middle line:84%
And if you solve for
n, you get, what, log--

00:35:15.660 --> 00:35:16.440 align:middle line:90%
what is this?

00:35:16.440 --> 00:35:19.922 align:middle line:90%


00:35:19.922 --> 00:35:22.960 align:middle line:84%
You go over log
of 2.5 down here.

00:35:22.960 --> 00:35:27.500 align:middle line:90%
And this is log of 10 to the 14.

00:35:27.500 --> 00:35:28.820 align:middle line:90%
You can figure this out.

00:35:28.820 --> 00:35:36.380 align:middle line:90%
And you find that n is about 35.

00:35:36.380 --> 00:35:42.660 align:middle line:84%
So 35 generations gets you
to the power of your reactor.

00:35:42.660 --> 00:35:46.820 align:middle line:84%
And every generation
is 10 nanoseconds.

00:35:46.820 --> 00:35:52.180 align:middle line:84%
So 35 times 10 nanoseconds is
about a third of a microsecond.

00:35:52.180 --> 00:35:55.050 align:middle line:84%
So the reactor
reaches full power

00:35:55.050 --> 00:35:58.470 align:middle line:90%
in a third of a microsecond.

00:35:58.470 --> 00:36:00.590 align:middle line:84%
Again, you can see why
it's easy to make a bomb.

00:36:00.590 --> 00:36:02.690 align:middle line:84%
And now we ask the
question, how in the world

00:36:02.690 --> 00:36:07.370 align:middle line:84%
do we control this thing in
a practical nuclear reactor

00:36:07.370 --> 00:36:09.530 align:middle line:84%
if you have a third
of a microsecond

00:36:09.530 --> 00:36:12.310 align:middle line:84%
to put the brakes on,
to change the geometry,

00:36:12.310 --> 00:36:15.690 align:middle line:84%
or do something so that
this won't continue to grow?

00:36:15.690 --> 00:36:18.090 align:middle line:90%
So it's hard.

00:36:18.090 --> 00:36:19.850 align:middle line:84%
And the magic comes
from something

00:36:19.850 --> 00:36:23.010 align:middle line:90%
called delayed neutrons.

00:36:23.010 --> 00:36:28.850 align:middle line:84%
So it is true that you get 2 and
1/2 neutrons on average coming

00:36:28.850 --> 00:36:30.210 align:middle line:90%
out of fission.

00:36:30.210 --> 00:36:35.050 align:middle line:84%
But a very small fraction,
about 0.6% of those neutrons

00:36:35.050 --> 00:36:39.490 align:middle line:84%
don't come directly from
the fissioning nucleus,

00:36:39.490 --> 00:36:44.370 align:middle line:84%
but show up later because
of radioactive decay.

00:36:44.370 --> 00:36:48.250 align:middle line:84%
And let me actually be a
little bit more specific.

00:36:48.250 --> 00:36:50.810 align:middle line:84%
So let's go back here to
the table of isotopes.

00:36:50.810 --> 00:36:52.650 align:middle line:90%
So we start here.

00:36:52.650 --> 00:36:55.050 align:middle line:84%
I don't have a laser
pointer, but I'll

00:36:55.050 --> 00:36:56.290 align:middle line:90%
use the shadow of a shadow.

00:36:56.290 --> 00:37:02.770 align:middle line:84%
So we start here around
uranium is right around here,

00:37:02.770 --> 00:37:04.250 align:middle line:90%
maybe that red one.

00:37:04.250 --> 00:37:05.830 align:middle line:90%
And it's going to split in half.

00:37:05.830 --> 00:37:09.010 align:middle line:84%
Conservation of mass requires
the number of protons

00:37:09.010 --> 00:37:12.290 align:middle line:84%
and neutrons to be conserved,
so we wind up with some spots

00:37:12.290 --> 00:37:13.570 align:middle line:90%
down here and here.

00:37:13.570 --> 00:37:16.130 align:middle line:84%
Probabilistically,
you're probably not going

00:37:16.130 --> 00:37:18.450 align:middle line:90%
to land on these blacks.

00:37:18.450 --> 00:37:21.730 align:middle line:84%
Probabilistically, you're
going to land on a blue.

00:37:21.730 --> 00:37:25.810 align:middle line:84%
And that means there will be
some additional radioactive

00:37:25.810 --> 00:37:28.730 align:middle line:90%
decays after fission.

00:37:28.730 --> 00:37:34.770 align:middle line:84%
And some of those decays will
just by chance issue neutrons.

00:37:34.770 --> 00:37:38.370 align:middle line:84%
And those neutrons are
called delayed neutrons.

00:37:38.370 --> 00:37:40.710 align:middle line:84%
So what you do is you
design your reactor

00:37:40.710 --> 00:37:43.970 align:middle line:90%
so it's actually subcritical.

00:37:43.970 --> 00:37:46.570 align:middle line:90%
We call it prompt subcritical.

00:37:46.570 --> 00:37:48.310 align:middle line:84%
It will not sustain
the reaction.

00:37:48.310 --> 00:37:51.660 align:middle line:84%
It's like that smaller
green ball that stops,

00:37:51.660 --> 00:37:55.480 align:middle line:84%
but then this
radioactive decay happens

00:37:55.480 --> 00:37:59.400 align:middle line:84%
because one of these fragments
is on a light blue square.

00:37:59.400 --> 00:38:01.995 align:middle line:84%
And it gives another neutron,
and it's been momentarily

00:38:01.995 --> 00:38:04.120 align:middle line:84%
supercritical, and the
reaction continues, and then

00:38:04.120 --> 00:38:06.137 align:middle line:90%
it stops again.

00:38:06.137 --> 00:38:07.720 align:middle line:84%
And that's actually
what's controlling

00:38:07.720 --> 00:38:09.360 align:middle line:90%
the rate of the reactor.

00:38:09.360 --> 00:38:15.920 align:middle line:84%
It's the half life
of all those little--

00:38:15.920 --> 00:38:17.860 align:middle line:90%
all these little blue squares.

00:38:17.860 --> 00:38:20.640 align:middle line:84%
The half life of
these things are

00:38:20.640 --> 00:38:24.520 align:middle line:84%
what are controlling the speed,
rather than the prompt growth

00:38:24.520 --> 00:38:25.580 align:middle line:90%
of the reactor.

00:38:25.580 --> 00:38:27.320 align:middle line:84%
Does that make
sense to everyone?

00:38:27.320 --> 00:38:28.360 align:middle line:90%
All right.

00:38:28.360 --> 00:38:30.680 align:middle line:84%
So now you say, well,
what is the half life?

00:38:30.680 --> 00:38:31.860 align:middle line:90%
Actually, you have no idea.

00:38:31.860 --> 00:38:33.902 align:middle line:84%
You have no idea what it's
going to fission into.

00:38:33.902 --> 00:38:39.920 align:middle line:84%
But on average, we find
certain delayed neutrons fall

00:38:39.920 --> 00:38:41.360 align:middle line:90%
into certain time bins.

00:38:41.360 --> 00:38:43.360 align:middle line:84%
And that gives us a
kind of average behavior

00:38:43.360 --> 00:38:45.000 align:middle line:90%
that we can count on.

00:38:45.000 --> 00:38:47.327 align:middle line:84%
Thanks to Avogadro's
number being very large,

00:38:47.327 --> 00:38:49.660 align:middle line:84%
we can average over a very
large number of these things,

00:38:49.660 --> 00:38:51.520 align:middle line:90%
and it's relatively predictable.

00:38:51.520 --> 00:38:56.760 align:middle line:84%
But fundamentally, it's
still a chaotic system

00:38:56.760 --> 00:39:00.480 align:middle line:84%
because it just has to
statistically work out

00:39:00.480 --> 00:39:04.560 align:middle line:84%
in your favor, which
is why you might have

00:39:04.560 --> 00:39:08.560 align:middle line:84%
a reactor start to have
an energy excursion

00:39:08.560 --> 00:39:10.480 align:middle line:90%
and start to take off.

00:39:10.480 --> 00:39:13.080 align:middle line:84%
And you have to do something
to stop that, otherwise you

00:39:13.080 --> 00:39:14.640 align:middle line:90%
have a meltdown.

00:39:14.640 --> 00:39:19.293 align:middle line:84%
And so this is why reactors have
to be dynamically controlled

00:39:19.293 --> 00:39:20.960 align:middle line:84%
in order to prevent
that from happening,

00:39:20.960 --> 00:39:22.668 align:middle line:84%
because it's fundamentally
still chaotic.

00:39:22.668 --> 00:39:25.960 align:middle line:90%


00:39:25.960 --> 00:39:28.300 align:middle line:90%
So that's the art.

00:39:28.300 --> 00:39:30.520 align:middle line:84%
You balance the
neutron generation

00:39:30.520 --> 00:39:34.440 align:middle line:84%
just right, so that it is, in
fact, a subcritical device.

00:39:34.440 --> 00:39:38.920 align:middle line:84%
But then these decayed
delayed neutrons momentarily

00:39:38.920 --> 00:39:41.240 align:middle line:84%
move it into supercriticality,
and the reaction

00:39:41.240 --> 00:39:42.880 align:middle line:90%
proceeds forward.

00:39:42.880 --> 00:39:45.160 align:middle line:90%
So how is that--

00:39:45.160 --> 00:39:47.030 align:middle line:90%
how is that done?

00:39:47.030 --> 00:39:50.590 align:middle line:84%
Well, the generation
rate is kind of

00:39:50.590 --> 00:39:55.150 align:middle line:84%
fixed by the fuel, which is
a solid amount of uranium

00:39:55.150 --> 00:39:58.150 align:middle line:90%
or other fuel in there.

00:39:58.150 --> 00:40:03.710 align:middle line:84%
The number of neutrons
that continued to run

00:40:03.710 --> 00:40:07.765 align:middle line:84%
is controlled by,
principally, the loss,

00:40:07.765 --> 00:40:08.890 align:middle line:90%
which we talked about here.

00:40:08.890 --> 00:40:12.550 align:middle line:84%
So the loss is higher
in a smaller geometry

00:40:12.550 --> 00:40:16.070 align:middle line:84%
because the surface-to-volume
ratio is higher than

00:40:16.070 --> 00:40:17.250 align:middle line:90%
in a larger geometry.

00:40:17.250 --> 00:40:19.070 align:middle line:84%
So we build the
reactor so that it's

00:40:19.070 --> 00:40:21.470 align:middle line:84%
called the leakage
term is such that we

00:40:21.470 --> 00:40:23.750 align:middle line:90%
are very close to criticality.

00:40:23.750 --> 00:40:29.790 align:middle line:84%
And then we slightly
adjust, tweak

00:40:29.790 --> 00:40:34.610 align:middle line:84%
the level using something
that absorbs excess neutrons.

00:40:34.610 --> 00:40:36.910 align:middle line:84%
So we make it so there's
a little extra neutrons.

00:40:36.910 --> 00:40:39.710 align:middle line:84%
And then we do some we add
some additional stuff that

00:40:39.710 --> 00:40:40.930 align:middle line:90%
absorbs neutrons.

00:40:40.930 --> 00:40:43.580 align:middle line:84%
We call these
things control rods.

00:40:43.580 --> 00:40:47.420 align:middle line:84%
And a common material,
for example, is boron.

00:40:47.420 --> 00:40:50.100 align:middle line:84%
So there's other things you
can put in control rods that

00:40:50.100 --> 00:40:52.980 align:middle line:84%
have different features, but
boron is the principal thing

00:40:52.980 --> 00:40:55.577 align:middle line:84%
that we use, because boron
has a large neutron capture

00:40:55.577 --> 00:40:56.160 align:middle line:90%
cross section.

00:40:56.160 --> 00:40:57.740 align:middle line:90%
It wants to suck up neutrons.

00:40:57.740 --> 00:41:00.700 align:middle line:84%
So we put that in there, and
we use that to just fine tune

00:41:00.700 --> 00:41:01.360 align:middle line:90%
the rate.

00:41:01.360 --> 00:41:03.950 align:middle line:90%


00:41:03.950 --> 00:41:08.900 align:middle line:84%
So that brings us to the
engineering of fission reactors.

00:41:08.900 --> 00:41:09.480 align:middle line:90%
All right.

00:41:09.480 --> 00:41:16.060 align:middle line:84%
So one of the things
that we will hear about

00:41:16.060 --> 00:41:20.420 align:middle line:84%
are something called thermal
reactors versus fast reactors.

00:41:20.420 --> 00:41:23.460 align:middle line:84%
So let me just explain
what that means.

00:41:23.460 --> 00:41:27.980 align:middle line:84%
As it turns out, when you
fission a nucleus of uranium

00:41:27.980 --> 00:41:31.300 align:middle line:84%
and it gives off of
two to three neutrons,

00:41:31.300 --> 00:41:35.580 align:middle line:84%
these neutrons come zipping
out with a lot of speed

00:41:35.580 --> 00:41:38.340 align:middle line:84%
because they are carrying
the way the binding

00:41:38.340 --> 00:41:39.900 align:middle line:90%
energy of the nucleus.

00:41:39.900 --> 00:41:42.740 align:middle line:84%
That is part of where
the energy goes.

00:41:42.740 --> 00:41:46.620 align:middle line:84%
And on average, they're born
with approximately 2 MeV

00:41:46.620 --> 00:41:51.760 align:middle line:84%
of kinetic energy per neutron at
the time in which they are born.

00:41:51.760 --> 00:41:54.740 align:middle line:90%
Oh my gosh, this projector.

00:41:54.740 --> 00:41:56.900 align:middle line:90%
And so that's over here.

00:41:56.900 --> 00:42:02.980 align:middle line:84%
This is a plot of the
energy of the neutrons.

00:42:02.980 --> 00:42:06.220 align:middle line:84%
And you can see it goes all
the way up here to 10 MeV,

00:42:06.220 --> 00:42:10.580 align:middle line:84%
and it goes all the
way down here to 10

00:42:10.580 --> 00:42:13.500 align:middle line:90%
to the minus 5 electron volts.

00:42:13.500 --> 00:42:17.380 align:middle line:84%
Very, very tiny,
so many decades.

00:42:17.380 --> 00:42:22.100 align:middle line:84%
This is approximately what
we call thermal neutrons.

00:42:22.100 --> 00:42:27.220 align:middle line:84%
So a fast reactor
operates over here,

00:42:27.220 --> 00:42:32.140 align:middle line:84%
and a thermal reactor, like most
of the reactors in the world,

00:42:32.140 --> 00:42:35.420 align:middle line:84%
operate with neutrons
in this region.

00:42:35.420 --> 00:42:38.740 align:middle line:84%
Why would you build
a thermal reactor?

00:42:38.740 --> 00:42:43.170 align:middle line:84%
Well, the principal reason is
that this is the cross section

00:42:43.170 --> 00:42:46.170 align:middle line:90%
in units of barns.

00:42:46.170 --> 00:42:50.250 align:middle line:84%
And you can see
that it is basically

00:42:50.250 --> 00:42:53.670 align:middle line:84%
a measure of the probability
that a reaction will happen.

00:42:53.670 --> 00:42:56.050 align:middle line:84%
And you see that the
probability of-- this

00:42:56.050 --> 00:42:57.750 align:middle line:90%
is the probability of fission.

00:42:57.750 --> 00:43:00.210 align:middle line:84%
This is the cross section
for fission of uranium.

00:43:00.210 --> 00:43:03.130 align:middle line:84%
So the probability
of fission goes up

00:43:03.130 --> 00:43:07.210 align:middle line:84%
by many orders of magnitude
when you slow the neutron down.

00:43:07.210 --> 00:43:11.290 align:middle line:84%
So that makes the
reactor easier to design.

00:43:11.290 --> 00:43:13.530 align:middle line:84%
But it also makes
the reactor safer

00:43:13.530 --> 00:43:18.710 align:middle line:84%
to design because these
neutrons are born fast.

00:43:18.710 --> 00:43:22.630 align:middle line:84%
But if they start colliding
with things, they slow down.

00:43:22.630 --> 00:43:27.450 align:middle line:84%
They transfer some kinetic
energy to other atoms,

00:43:27.450 --> 00:43:28.990 align:middle line:90%
and then they will slow down.

00:43:28.990 --> 00:43:31.690 align:middle line:84%
And then the probability that
the fission reaction happens

00:43:31.690 --> 00:43:32.770 align:middle line:90%
goes up.

00:43:32.770 --> 00:43:35.550 align:middle line:84%
So in order to prevent
accidental fission,

00:43:35.550 --> 00:43:39.610 align:middle line:84%
we actually require
that they slow down.

00:43:39.610 --> 00:43:42.410 align:middle line:84%
This process is
called thermalization.

00:43:42.410 --> 00:43:46.810 align:middle line:84%
They slow down so much that they
have the same kinetic energy

00:43:46.810 --> 00:43:50.510 align:middle line:84%
on average as the average of
the molecules in this table?

00:43:50.510 --> 00:43:54.010 align:middle line:90%
That is 0.02 eV.

00:43:54.010 --> 00:43:58.330 align:middle line:84%
That is the room temperature
energy per nucleon.

00:43:58.330 --> 00:44:01.130 align:middle line:84%
And so they don't
get any cooler.

00:44:01.130 --> 00:44:02.510 align:middle line:90%
That's just where they land.

00:44:02.510 --> 00:44:04.052 align:middle line:84%
And they kind of
stay in that region,

00:44:04.052 --> 00:44:06.590 align:middle line:84%
and we design the reactor
to operate in that region.

00:44:06.590 --> 00:44:09.690 align:middle line:90%


00:44:09.690 --> 00:44:13.830 align:middle line:84%
This is the cross
section for uranium.

00:44:13.830 --> 00:44:16.330 align:middle line:84%
And we see it has
this feature where

00:44:16.330 --> 00:44:18.850 align:middle line:90%
thermal reactivity goes up.

00:44:18.850 --> 00:44:21.310 align:middle line:84%
But that's actually kind
of a rare thing in nature.

00:44:21.310 --> 00:44:23.850 align:middle line:84%
So just to show
you how rare, here

00:44:23.850 --> 00:44:27.290 align:middle line:84%
is the cross
section for thorium.

00:44:27.290 --> 00:44:30.590 align:middle line:84%
And you can see that it goes
down as they thermalize.

00:44:30.590 --> 00:44:35.090 align:middle line:84%
So you can't make a
thorium reactor easily.

00:44:35.090 --> 00:44:38.360 align:middle line:84%
You say, well, I've heard
of thorium nuclear power.

00:44:38.360 --> 00:44:42.680 align:middle line:84%
Does anyone know how
thorium nuclear power works?

00:44:42.680 --> 00:44:45.640 align:middle line:84%
You would change
it into uranium.

00:44:45.640 --> 00:44:48.200 align:middle line:90%
That's the magic of thorium.

00:44:48.200 --> 00:44:51.480 align:middle line:84%
Thorium will, by itself, not
actually produce a good reactor.

00:44:51.480 --> 00:44:53.592 align:middle line:84%
You have to change
it into uranium.

00:44:53.592 --> 00:44:55.800 align:middle line:84%
You change it into a different
kind of uranium called

00:44:55.800 --> 00:44:58.340 align:middle line:84%
uranium 233 instead
of uranium 235,

00:44:58.340 --> 00:45:01.852 align:middle line:84%
but you still have to change
it into uranium first.

00:45:01.852 --> 00:45:04.960 align:middle line:84%
So thorium by itself
does not make a reactor.

00:45:04.960 --> 00:45:07.940 align:middle line:84%
And if we did not have
uranium from nature,

00:45:07.940 --> 00:45:10.268 align:middle line:84%
we would not be able to
ever have built these.

00:45:10.268 --> 00:45:11.060 align:middle line:90%
Here's another one.

00:45:11.060 --> 00:45:14.800 align:middle line:90%
This is uranium 238.

00:45:14.800 --> 00:45:17.320 align:middle line:90%
This is another kind of uranium.

00:45:17.320 --> 00:45:22.320 align:middle line:84%
This is in fact, 99.3% of
the uranium in the Earth

00:45:22.320 --> 00:45:24.840 align:middle line:90%
is uranium 238.

00:45:24.840 --> 00:45:29.640 align:middle line:84%
This is only 0.7% of
uranium is uranium 235.

00:45:29.640 --> 00:45:33.680 align:middle line:84%
So most of the stuff out
there has this weird feature

00:45:33.680 --> 00:45:36.400 align:middle line:84%
that the probability
of fission is very low.

00:45:36.400 --> 00:45:39.120 align:middle line:84%
It requires very high
energy neutrons to do it.

00:45:39.120 --> 00:45:41.840 align:middle line:84%
If the neutron is thermalized,
you're out of luck.

00:45:41.840 --> 00:45:44.400 align:middle line:84%
The reactor is very,
very hard to build.

00:45:44.400 --> 00:45:48.720 align:middle line:84%
But for 238 in particular,
it has this feature where

00:45:48.720 --> 00:45:50.920 align:middle line:90%
it goes in the other direction.

00:45:50.920 --> 00:45:53.540 align:middle line:84%
So we can ask,
well, that's great.

00:45:53.540 --> 00:45:56.600 align:middle line:90%
How do we get uranium 238?

00:45:56.600 --> 00:45:59.240 align:middle line:84%
Well, as I mentioned,
natural uranium on Earth

00:45:59.240 --> 00:46:03.200 align:middle line:90%
is only about 0.7% uranium 235.

00:46:03.200 --> 00:46:05.960 align:middle line:84%
Sorry, a moment ago, I said,
how do we get uranium 238?

00:46:05.960 --> 00:46:08.880 align:middle line:84%
But I meant to say, how do you
get uranium 235, the stuff that

00:46:08.880 --> 00:46:11.280 align:middle line:90%
has this nice feature?

00:46:11.280 --> 00:46:15.000 align:middle line:84%
So we have to get rid
of the extra uranium

00:46:15.000 --> 00:46:19.480 align:middle line:84%
238, which we don't want,
because it's a mix of these two

00:46:19.480 --> 00:46:21.800 align:middle line:90%
isotopes in nature.

00:46:21.800 --> 00:46:26.000 align:middle line:84%
And the only distinguishing
feature between the two

00:46:26.000 --> 00:46:28.840 align:middle line:90%
are their mass.

00:46:28.840 --> 00:46:31.420 align:middle line:84%
And so chemically,
they're the same.

00:46:31.420 --> 00:46:34.030 align:middle line:84%
They're both uranium, the same
number of protons, therefore

00:46:34.030 --> 00:46:37.150 align:middle line:84%
the same number of electrons,
therefore the same chemistry.

00:46:37.150 --> 00:46:40.090 align:middle line:84%
So we have to find a
way to, atom by atom,

00:46:40.090 --> 00:46:43.830 align:middle line:90%
sort them out by their mass.

00:46:43.830 --> 00:46:45.807 align:middle line:84%
And this is the process
of uranium enrichment.

00:46:45.807 --> 00:46:47.390 align:middle line:84%
We'll talk a little
bit more about how

00:46:47.390 --> 00:46:51.790 align:middle line:84%
this works in future
class, and the process

00:46:51.790 --> 00:46:56.070 align:middle line:84%
by which people like Iran is
trying to make a nuclear bomb.

00:46:56.070 --> 00:47:00.950 align:middle line:84%
They're doing something to
get purified uranium 235.

00:47:00.950 --> 00:47:03.790 align:middle line:84%
But the short of it is
that you accelerate them.

00:47:03.790 --> 00:47:07.110 align:middle line:84%
You spin them around, and the
heavy ones go to the outside,

00:47:07.110 --> 00:47:09.890 align:middle line:84%
and you throw that away
because that's uranium 238.

00:47:09.890 --> 00:47:13.070 align:middle line:84%
It's heavier, and you keep
the others towards the center.

00:47:13.070 --> 00:47:16.890 align:middle line:90%
Basically, that's the concept.

00:47:16.890 --> 00:47:19.190 align:middle line:84%
But this gives us
some categories.

00:47:19.190 --> 00:47:22.990 align:middle line:84%
If you get just rid
of some of the 238

00:47:22.990 --> 00:47:29.630 align:middle line:84%
so that we can say increase the
amount of 235 by a factor of 5,

00:47:29.630 --> 00:47:32.910 align:middle line:84%
so we've actually gotten
rid of quite a lot.

00:47:32.910 --> 00:47:37.438 align:middle line:84%
The material is called
low enriched uranium.

00:47:37.438 --> 00:47:39.730 align:middle line:84%
This is actually most of the
uranium used for reactors.

00:47:39.730 --> 00:47:41.550 align:middle line:90%
This is good enough.

00:47:41.550 --> 00:47:46.510 align:middle line:84%
Even though there's
still a lot of 230--

00:47:46.510 --> 00:47:53.270 align:middle line:84%
even though the fuel is still
95% uranium 238 and not very

00:47:53.270 --> 00:47:57.190 align:middle line:84%
useful, it doesn't matter,
because this cross section goes

00:47:57.190 --> 00:47:59.790 align:middle line:84%
up by so many
orders of magnitude,

00:47:59.790 --> 00:48:03.710 align:middle line:84%
and we have enough of
it that we can get by.

00:48:03.710 --> 00:48:04.590 align:middle line:90%
Yep.

00:48:04.590 --> 00:48:07.038 align:middle line:84%
STUDENT: Why is it so
jagged in the middle?

00:48:07.038 --> 00:48:08.830 align:middle line:84%
PROFESSOR: Those are
called the-- so that's

00:48:08.830 --> 00:48:10.990 align:middle line:90%
called the resonance region.

00:48:10.990 --> 00:48:16.710 align:middle line:84%
And it has to do with the
fact that the nucleus has,

00:48:16.710 --> 00:48:20.430 align:middle line:84%
just like the atomic states,
it has these resonance energy

00:48:20.430 --> 00:48:22.030 align:middle line:90%
structures in it.

00:48:22.030 --> 00:48:26.710 align:middle line:84%
And if you happen to
have a neutron coming

00:48:26.710 --> 00:48:30.040 align:middle line:84%
in that is exactly
the right energy,

00:48:30.040 --> 00:48:35.740 align:middle line:84%
it can resonantly
excite the process that

00:48:35.740 --> 00:48:39.132 align:middle line:90%
allows for the fusion to occur.

00:48:39.132 --> 00:48:41.340 align:middle line:84%
So it goes up, and then it
goes down, and it goes up,

00:48:41.340 --> 00:48:42.140 align:middle line:90%
and it goes down.

00:48:42.140 --> 00:48:46.620 align:middle line:84%
And then actually, really,
these things continue forever.

00:48:46.620 --> 00:48:49.260 align:middle line:84%
But we don't plot
them because they just

00:48:49.260 --> 00:48:51.020 align:middle line:90%
get to be stupidly dense.

00:48:51.020 --> 00:48:53.080 align:middle line:90%
So then we stop.

00:48:53.080 --> 00:48:55.780 align:middle line:90%
We just plot the average.

00:48:55.780 --> 00:48:57.440 align:middle line:84%
But yeah, that is
what's going on.

00:48:57.440 --> 00:49:00.180 align:middle line:84%
You're seeing these resonance
harmonics of the structure

00:49:00.180 --> 00:49:02.460 align:middle line:90%
of the nucleus.

00:49:02.460 --> 00:49:04.860 align:middle line:84%
And yeah, this really
just keeps going.

00:49:04.860 --> 00:49:06.400 align:middle line:90%
It's like that, then keep going.

00:49:06.400 --> 00:49:09.620 align:middle line:90%


00:49:09.620 --> 00:49:12.020 align:middle line:90%
So where was I?

00:49:12.020 --> 00:49:17.200 align:middle line:84%
So 5% is enough to get
by for most reactors,

00:49:17.200 --> 00:49:21.340 align:middle line:84%
as long as the reactor
is a thermal reactor, not

00:49:21.340 --> 00:49:22.800 align:middle line:90%
a fast reactor.

00:49:22.800 --> 00:49:25.300 align:middle line:84%
So right now, there's a lot of
people interested in building

00:49:25.300 --> 00:49:26.000 align:middle line:90%
fast reactors.

00:49:26.000 --> 00:49:28.400 align:middle line:84%
Again, they want to keep
the neutrons over here.

00:49:28.400 --> 00:49:30.900 align:middle line:84%
They don't want to
thermalize them.

00:49:30.900 --> 00:49:34.700 align:middle line:84%
That means you can't make
it out of 5% uranium.

00:49:34.700 --> 00:49:41.020 align:middle line:84%
You need something that has
either a lot more uranium

00:49:41.020 --> 00:49:46.380 align:middle line:84%
235 than 238 because this
just drops to nothing.

00:49:46.380 --> 00:49:50.140 align:middle line:84%
Or you need to use something
else like plutonium to make it.

00:49:50.140 --> 00:49:52.900 align:middle line:84%
And so fast reactors
always use fuels

00:49:52.900 --> 00:49:57.540 align:middle line:84%
that are also, because they're
fast, useful for making bombs.

00:49:57.540 --> 00:50:00.660 align:middle line:90%
Because bombs are fast reactors.

00:50:00.660 --> 00:50:02.520 align:middle line:84%
They're just run-away
fast reactors.

00:50:02.520 --> 00:50:04.540 align:middle line:90%
That's what nuclear bombs are.

00:50:04.540 --> 00:50:06.120 align:middle line:90%
So you build a fast reactor.

00:50:06.120 --> 00:50:09.620 align:middle line:84%
You have to use, basically,
bomb grade material.

00:50:09.620 --> 00:50:12.860 align:middle line:84%
And on top of that, if
the neutrons slow down

00:50:12.860 --> 00:50:14.740 align:middle line:84%
for whatever reason,
the reactor becomes

00:50:14.740 --> 00:50:18.280 align:middle line:84%
uncontrolled because the
probability of fission goes up.

00:50:18.280 --> 00:50:22.860 align:middle line:84%
So fast reactors are very
hard to build and control.

00:50:22.860 --> 00:50:26.410 align:middle line:84%
Thermal reactors
are straightforward.

00:50:26.410 --> 00:50:30.010 align:middle line:90%
So where was I?

00:50:30.010 --> 00:50:37.770 align:middle line:90%
It goes up by a factor of 1,000.

00:50:37.770 --> 00:50:41.490 align:middle line:84%
So for thermal reactors,
this will do just fine.

00:50:41.490 --> 00:50:44.690 align:middle line:84%
As the reactor becomes
smaller and smaller,

00:50:44.690 --> 00:50:48.930 align:middle line:84%
leakage goes up and up, so we
have to compensate for that.

00:50:48.930 --> 00:50:50.670 align:middle line:90%
So we typically keep enriching.

00:50:50.670 --> 00:50:54.570 align:middle line:84%
We call this stuff right here
high assay low enriched uranium,

00:50:54.570 --> 00:50:59.090 align:middle line:84%
right at the cutoff where
it's 20% uranium 235.

00:50:59.090 --> 00:51:03.890 align:middle line:84%
Most new reactor concepts
are looking at this material

00:51:03.890 --> 00:51:06.570 align:middle line:84%
because they want to make
the cores very small.

00:51:06.570 --> 00:51:08.590 align:middle line:84%
Therefore, the
leakage is very high,

00:51:08.590 --> 00:51:13.810 align:middle line:84%
so they compensate by
upping the amount of 235.

00:51:13.810 --> 00:51:16.270 align:middle line:84%
But you can in principle go
all the way to weapons grade.

00:51:16.270 --> 00:51:19.250 align:middle line:84%
And in fact, our
reactors that would

00:51:19.250 --> 00:51:22.330 align:middle line:84%
put on submarines,
which are very small,

00:51:22.330 --> 00:51:24.890 align:middle line:84%
use weapons grade
uranium, which is to say

00:51:24.890 --> 00:51:28.890 align:middle line:90%
greater than 90% uranium 235.

00:51:28.890 --> 00:51:32.090 align:middle line:84%
We'll talk about it in class,
but in fact, anything above 20%

00:51:32.090 --> 00:51:34.810 align:middle line:84%
can-- actually,
anything above 12%

00:51:34.810 --> 00:51:38.370 align:middle line:84%
can really be used
to make a bomb.

00:51:38.370 --> 00:51:48.053 align:middle line:84%
So the MIT reactor runs on
weapons grade 93% uranium.

00:51:48.053 --> 00:51:48.970 align:middle line:90%
Just letting you know.

00:51:48.970 --> 00:51:52.530 align:middle line:90%
It's over there.

00:51:52.530 --> 00:51:54.130 align:middle line:84%
Yeah, get a couple
of MIT reactors

00:51:54.130 --> 00:51:57.470 align:middle line:84%
together and you can
build a bomb pretty easy.

00:51:57.470 --> 00:52:00.130 align:middle line:90%


00:52:00.130 --> 00:52:05.010 align:middle line:84%
So just briefly, for those of
you who are not physicists,

00:52:05.010 --> 00:52:07.012 align:middle line:84%
and I talk about
thermalizing neutrons

00:52:07.012 --> 00:52:08.470 align:middle line:84%
and you're like,
slowing them down.

00:52:08.470 --> 00:52:09.803 align:middle line:90%
I have no idea how this happens.

00:52:09.803 --> 00:52:10.570 align:middle line:90%
What do you mean?

00:52:10.570 --> 00:52:13.610 align:middle line:84%
This is just a
little illustration.

00:52:13.610 --> 00:52:15.930 align:middle line:90%
Here's a heavy atom.

00:52:15.930 --> 00:52:17.150 align:middle line:90%
Here's a neutron coming in.

00:52:17.150 --> 00:52:18.790 align:middle line:84%
You can see the
neutron bounced off,

00:52:18.790 --> 00:52:20.962 align:middle line:84%
and this thing is like
it's moving a little bit.

00:52:20.962 --> 00:52:23.420 align:middle line:84%
But mostly the neutrons just
bounced off at the same speed.

00:52:23.420 --> 00:52:27.360 align:middle line:84%
It's like throwing a
tennis ball against a wall.

00:52:27.360 --> 00:52:28.500 align:middle line:90%
The wall is a lot heavier.

00:52:28.500 --> 00:52:30.417 align:middle line:84%
Conservation of momentum
means the tennis ball

00:52:30.417 --> 00:52:33.320 align:middle line:84%
is going to bounce at
roughly the same speed.

00:52:33.320 --> 00:52:40.040 align:middle line:84%
If you have a light thing
instead, like this molecule of--

00:52:40.040 --> 00:52:43.000 align:middle line:84%
I guess it's a
molecule of helium,

00:52:43.000 --> 00:52:49.320 align:middle line:84%
then you see that
conservation of mass

00:52:49.320 --> 00:52:52.180 align:middle line:84%
causes that thing to
move off-- the neutron

00:52:52.180 --> 00:52:53.640 align:middle line:90%
to move off more slowly.

00:52:53.640 --> 00:52:56.440 align:middle line:84%
And so if we want
to slow things down,

00:52:56.440 --> 00:52:59.720 align:middle line:84%
we want to put a lot of
light atoms in there.

00:52:59.720 --> 00:53:01.380 align:middle line:90%
What is the lightest atom?

00:53:01.380 --> 00:53:04.160 align:middle line:90%


00:53:04.160 --> 00:53:07.440 align:middle line:84%
Hydrogen. What has
a lot of hydrogen?

00:53:07.440 --> 00:53:08.160 align:middle line:90%
Water.

00:53:08.160 --> 00:53:12.800 align:middle line:84%
And so now you know why water
is the principal so-called

00:53:12.800 --> 00:53:13.500 align:middle line:90%
moderator.

00:53:13.500 --> 00:53:17.760 align:middle line:84%
The moderator is the thing that
is slowing down the neutrons.

00:53:17.760 --> 00:53:21.120 align:middle line:84%
And that's why we built
reactors out of water.

00:53:21.120 --> 00:53:23.280 align:middle line:84%
You can build it out
of other light stuff.

00:53:23.280 --> 00:53:25.500 align:middle line:84%
You can use graphite,
which is carbon,

00:53:25.500 --> 00:53:29.200 align:middle line:84%
which is heavier than hydrogen,
but it's still pretty light.

00:53:29.200 --> 00:53:31.080 align:middle line:84%
And a variety of
other things people

00:53:31.080 --> 00:53:35.000 align:middle line:84%
have-- there are other sources
of hydrogen, like oils.

00:53:35.000 --> 00:53:38.160 align:middle line:90%
Oils are also hydrogen-rich.

00:53:38.160 --> 00:53:42.500 align:middle line:84%
And so people talk about organic
reactors and things like this,

00:53:42.500 --> 00:53:49.100 align:middle line:84%
but basically, kerosene in
there to slow down the neutrons.

00:53:49.100 --> 00:53:51.720 align:middle line:90%


00:53:51.720 --> 00:53:54.920 align:middle line:84%
Early reactors built during
World War II to make plutonium

00:53:54.920 --> 00:53:58.320 align:middle line:84%
used graphite, which was
nice because you could just

00:53:58.320 --> 00:53:59.620 align:middle line:90%
get it in these big blocks.

00:53:59.620 --> 00:54:00.940 align:middle line:90%
You drill these holes.

00:54:00.940 --> 00:54:03.280 align:middle line:90%
You put the fuel into the holes.

00:54:03.280 --> 00:54:05.820 align:middle line:84%
The neutrons shoot out of the
fuel as they're fissioning.

00:54:05.820 --> 00:54:09.060 align:middle line:84%
They travel, bounce around
in the carbonaceous graphite.

00:54:09.060 --> 00:54:11.240 align:middle line:84%
They slow down to the
point where they can then

00:54:11.240 --> 00:54:12.800 align:middle line:90%
trigger the next fission.

00:54:12.800 --> 00:54:16.960 align:middle line:90%
And so the reactor proceeds.

00:54:16.960 --> 00:54:22.710 align:middle line:84%
So that is how the first, what
we call, production reactors

00:54:22.710 --> 00:54:25.490 align:middle line:84%
were built. They would,
of course, heat up.

00:54:25.490 --> 00:54:27.310 align:middle line:84%
So we would flow
air through them,

00:54:27.310 --> 00:54:30.110 align:middle line:84%
trying to keep all
this stuff cool.

00:54:30.110 --> 00:54:32.330 align:middle line:84%
And I don't have a
photo, unfortunately,

00:54:32.330 --> 00:54:35.150 align:middle line:84%
but they would put some
shielding out in front.

00:54:35.150 --> 00:54:37.910 align:middle line:84%
And literally, there'd
be people standing

00:54:37.910 --> 00:54:42.510 align:middle line:84%
in front of the open face
reactor shoveling uranium

00:54:42.510 --> 00:54:46.230 align:middle line:90%
into these holes manually.

00:54:46.230 --> 00:54:48.570 align:middle line:84%
And then inside, deep
inside the graphite block,

00:54:48.570 --> 00:54:50.550 align:middle line:84%
there would be this
reaction happening.

00:54:50.550 --> 00:54:54.570 align:middle line:84%
And they ran these reactors and
made a whole bunch of plutonium.

00:54:54.570 --> 00:54:56.870 align:middle line:84%
We'll talk more about
how plutonium was made.

00:54:56.870 --> 00:55:01.990 align:middle line:84%
But this is how the
early reactor is built.

00:55:01.990 --> 00:55:06.430 align:middle line:84%
The water reactors, we have a
couple of different concepts.

00:55:06.430 --> 00:55:09.802 align:middle line:84%
So one is called the-- this
is actually a later concept.

00:55:09.802 --> 00:55:12.010 align:middle line:84%
The original concept was a
pressurized water reactor,

00:55:12.010 --> 00:55:14.870 align:middle line:84%
which we talked about briefly
as being used on submarines.

00:55:14.870 --> 00:55:16.410 align:middle line:90%
I'll get to that in a moment.

00:55:16.410 --> 00:55:20.670 align:middle line:84%
This is a newer concept called
the boiling water reactor.

00:55:20.670 --> 00:55:24.990 align:middle line:84%
So here is your
uranium fuel in yellow.

00:55:24.990 --> 00:55:28.390 align:middle line:84%
The neutrons come out
and they hit the water.

00:55:28.390 --> 00:55:30.610 align:middle line:84%
They then trigger more
fissions in the rods.

00:55:30.610 --> 00:55:31.410 align:middle line:90%
The rods heat up.

00:55:31.410 --> 00:55:33.050 align:middle line:84%
The water happens
to do two things.

00:55:33.050 --> 00:55:35.310 align:middle line:84%
It's not only slowing
the neutrons down.

00:55:35.310 --> 00:55:38.430 align:middle line:90%
It's also cooling the rods.

00:55:38.430 --> 00:55:44.230 align:middle line:84%
It absorbs so much heat
that the water boils.

00:55:44.230 --> 00:55:45.990 align:middle line:90%
It makes steam.

00:55:45.990 --> 00:55:49.470 align:middle line:84%
You pump the steam out
and you turn a generator.

00:55:49.470 --> 00:55:51.990 align:middle line:84%
It condenses on the
generator blades, and then

00:55:51.990 --> 00:55:56.590 align:middle line:84%
the turbine generator, and then
you pump the water back in.

00:55:56.590 --> 00:55:59.750 align:middle line:84%
And this is how you
run your reactor.

00:55:59.750 --> 00:56:02.770 align:middle line:84%
So reactors are just
water boilers, basically.

00:56:02.770 --> 00:56:04.550 align:middle line:90%
That's what they are.

00:56:04.550 --> 00:56:06.807 align:middle line:84%
This idea was promoted
by General Electric.

00:56:06.807 --> 00:56:08.390 align:middle line:84%
We'll talk more about
General Electric

00:56:08.390 --> 00:56:12.110 align:middle line:84%
in the next class as
a principal competitor

00:56:12.110 --> 00:56:15.060 align:middle line:84%
to Westinghouse, who came up
with the pressurized water

00:56:15.060 --> 00:56:15.860 align:middle line:90%
reactor.

00:56:15.860 --> 00:56:19.980 align:middle line:84%
Approximately 20% of the world's
fleet is based on this concept.

00:56:19.980 --> 00:56:25.980 align:middle line:84%
A lot of the reactors in
Japan, the Fukushima reactor,

00:56:25.980 --> 00:56:29.740 align:middle line:90%
was of this design.

00:56:29.740 --> 00:56:36.340 align:middle line:84%
Because the water is directly
in contact with the fuel,

00:56:36.340 --> 00:56:40.780 align:middle line:84%
one of the things that
happens is the fuel corrodes

00:56:40.780 --> 00:56:45.300 align:middle line:84%
and some radioactive material
leaks into the water.

00:56:45.300 --> 00:56:49.900 align:middle line:84%
And so this loop of water
becomes contaminated

00:56:49.900 --> 00:56:53.100 align:middle line:84%
with radiation, including
the turbine that

00:56:53.100 --> 00:56:54.780 align:middle line:90%
is producing your electricity.

00:56:54.780 --> 00:56:57.180 align:middle line:84%
So you have a whole
lot more radiation

00:56:57.180 --> 00:56:59.240 align:middle line:84%
to deal with all
throughout the plant.

00:56:59.240 --> 00:57:02.400 align:middle line:84%
If you spring a leak, the
water is already radioactive.

00:57:02.400 --> 00:57:04.000 align:middle line:90%
You have to deal with it.

00:57:04.000 --> 00:57:09.627 align:middle line:84%
So this is a complicated
issue if there's a problem.

00:57:09.627 --> 00:57:11.460 align:middle line:84%
You have to worry about
corrosion and things

00:57:11.460 --> 00:57:14.940 align:middle line:84%
like that more because
of the radiation.

00:57:14.940 --> 00:57:17.940 align:middle line:84%
Here is the pressurized
water reactor concept.

00:57:17.940 --> 00:57:19.660 align:middle line:84%
The idea of pressurized
water reactor

00:57:19.660 --> 00:57:23.860 align:middle line:84%
is that you put this water
in a pressure vessel,

00:57:23.860 --> 00:57:26.860 align:middle line:84%
and you increase the pressure
so high, the water doesn't boil,

00:57:26.860 --> 00:57:30.940 align:middle line:84%
because the boiling point is
a function of the pressure.

00:57:30.940 --> 00:57:33.602 align:middle line:84%
So you raise it above
the vapor point.

00:57:33.602 --> 00:57:34.560 align:middle line:90%
The water doesn't boil.

00:57:34.560 --> 00:57:35.600 align:middle line:90%
It's just superheated water.

00:57:35.600 --> 00:57:37.225 align:middle line:84%
It's like your pressure
cooker at home.

00:57:37.225 --> 00:57:39.500 align:middle line:90%
You're canning stuff.

00:57:39.500 --> 00:57:42.220 align:middle line:84%
And instead, it
sends super hot--

00:57:42.220 --> 00:57:43.320 align:middle line:90%
I'm sorry about this.

00:57:43.320 --> 00:57:45.840 align:middle line:84%
I'm going to ask them about
this jiggly projector.

00:57:45.840 --> 00:57:48.780 align:middle line:84%
It sends super hot
water into this thing

00:57:48.780 --> 00:57:55.022 align:middle line:84%
called a steam generator,
which is just a heat exchanger.

00:57:55.022 --> 00:57:56.480 align:middle line:84%
If you look at a
real one of these,

00:57:56.480 --> 00:58:00.940 align:middle line:84%
it's just hundreds and hundreds
of little tubes going through

00:58:00.940 --> 00:58:02.540 align:middle line:90%
in a big tank.

00:58:02.540 --> 00:58:04.380 align:middle line:84%
And the super hot
water that contains

00:58:04.380 --> 00:58:08.260 align:middle line:84%
some of those corrosion products
are confined to the tubes.

00:58:08.260 --> 00:58:09.820 align:middle line:84%
And then we pump
other water, which

00:58:09.820 --> 00:58:13.590 align:middle line:84%
is nice and clean, around
the outside of the tubes,

00:58:13.590 --> 00:58:16.390 align:middle line:84%
and it exchanges the
heat to the other water.

00:58:16.390 --> 00:58:18.890 align:middle line:84%
And it boils the water on
the outside of the tubes

00:58:18.890 --> 00:58:20.170 align:middle line:90%
and makes steam.

00:58:20.170 --> 00:58:22.570 align:middle line:84%
And then we use that steam,
which is nice and clean,

00:58:22.570 --> 00:58:26.330 align:middle line:84%
take it out of the containment,
and run the turbine

00:58:26.330 --> 00:58:28.330 align:middle line:90%
to make electricity.

00:58:28.330 --> 00:58:31.050 align:middle line:84%
That way, everything
that contains radiation

00:58:31.050 --> 00:58:34.330 align:middle line:90%
is inside this containment.

00:58:34.330 --> 00:58:37.290 align:middle line:84%
And if there's a problem,
everything will be contained.

00:58:37.290 --> 00:58:40.250 align:middle line:90%
And that is the idea behind PWR.

00:58:40.250 --> 00:58:43.830 align:middle line:84%
So in that sense, they are
supposed to be, if you will,

00:58:43.830 --> 00:58:44.810 align:middle line:90%
safer.

00:58:44.810 --> 00:58:47.230 align:middle line:84%
So these reactors typically
operate around 300 degrees

00:58:47.230 --> 00:58:51.457 align:middle line:84%
C, 3 times the normal
boiling point of water.

00:58:51.457 --> 00:58:53.290 align:middle line:84%
But they do that because
they keep the water

00:58:53.290 --> 00:58:54.650 align:middle line:90%
under very high pressure.

00:58:54.650 --> 00:58:59.010 align:middle line:84%
About 63% of the commercial
fleet uses these designs.

00:58:59.010 --> 00:59:01.910 align:middle line:90%
Of course, there's consequences.

00:59:01.910 --> 00:59:04.290 align:middle line:84%
You have very high
pressures, which

00:59:04.290 --> 00:59:10.010 align:middle line:84%
means that things may stress
from cooling and heating,

00:59:10.010 --> 00:59:12.370 align:middle line:90%
and weaken, and blow out.

00:59:12.370 --> 00:59:14.450 align:middle line:84%
And so you have a different
kind of safety issue

00:59:14.450 --> 00:59:19.090 align:middle line:84%
to think about related to
material integrity and so on.

00:59:19.090 --> 00:59:22.070 align:middle line:84%
And so you overbuild these
things to try to prevent that,

00:59:22.070 --> 00:59:23.670 align:middle line:90%
but things can still happen.

00:59:23.670 --> 00:59:25.770 align:middle line:84%
So some of the
pressurized water reactors

00:59:25.770 --> 00:59:30.210 align:middle line:84%
that are currently being
stood up in France,

00:59:30.210 --> 00:59:34.713 align:middle line:84%
what's called the EPR,
and the top cap of--

00:59:34.713 --> 00:59:36.130 align:middle line:84%
Actually, I can't
remember if it's

00:59:36.130 --> 00:59:37.380 align:middle line:90%
the top cap or the bottom cap.

00:59:37.380 --> 00:59:41.170 align:middle line:84%
One of the caps, really
thick steel casting

00:59:41.170 --> 00:59:42.650 align:middle line:90%
to hold all the pressure in.

00:59:42.650 --> 00:59:45.170 align:middle line:84%
But it turned out
when they cast it,

00:59:45.170 --> 00:59:49.210 align:middle line:84%
there were some
precipitates of carbon

00:59:49.210 --> 00:59:52.210 align:middle line:84%
in the steel, which
weakens the steel, which

00:59:52.210 --> 00:59:54.690 align:middle line:84%
means that now they're not
sure if that thing will

00:59:54.690 --> 00:59:56.090 align:middle line:90%
last very long.

00:59:56.090 --> 00:59:58.790 align:middle line:84%
So they've given it a
provisional operating license,

00:59:58.790 --> 01:00:03.010 align:middle line:84%
but they may have to shut
the reactor down early.

01:00:03.010 --> 01:00:05.410 align:middle line:84%
And unfortunately, that
cap is so ginormous

01:00:05.410 --> 01:00:08.680 align:middle line:84%
that you can't actually replace
it without disassembling

01:00:08.680 --> 01:00:10.520 align:middle line:90%
the whole reactor building.

01:00:10.520 --> 01:00:12.860 align:middle line:84%
This thing has to be
built and put in place,

01:00:12.860 --> 01:00:14.840 align:middle line:84%
and then you build the
building around it.

01:00:14.840 --> 01:00:21.000 align:middle line:84%
And so yeah, getting the
material science right

01:00:21.000 --> 01:00:22.840 align:middle line:90%
is really important.

01:00:22.840 --> 01:00:27.680 align:middle line:84%
And this is what makes
these things hard to build.

01:00:27.680 --> 01:00:28.180 align:middle line:90%
All right.

01:00:28.180 --> 01:00:31.240 align:middle line:84%
So I've mentioned I keep
talking about the generator.

01:00:31.240 --> 01:00:31.940 align:middle line:90%
What do I mean?

01:00:31.940 --> 01:00:35.112 align:middle line:84%
So again, this is a
pressurized water reactor.

01:00:35.112 --> 01:00:35.820 align:middle line:90%
Here's a reactor.

01:00:35.820 --> 01:00:39.040 align:middle line:84%
Here's the steam generator
or the heat exchanger.

01:00:39.040 --> 01:00:40.600 align:middle line:84%
This is the
pressurizer which keeps

01:00:40.600 --> 01:00:42.640 align:middle line:90%
everything in high pressure.

01:00:42.640 --> 01:00:44.260 align:middle line:90%
Here comes the steam.

01:00:44.260 --> 01:00:45.920 align:middle line:84%
There's a turbine
that is controlling

01:00:45.920 --> 01:00:48.140 align:middle line:84%
your electric generator
that is making electricity.

01:00:48.140 --> 01:00:50.160 align:middle line:90%
It's making us happy.

01:00:50.160 --> 01:00:52.700 align:middle line:84%
And then the cool
steam comes out here,

01:00:52.700 --> 01:00:56.320 align:middle line:84%
and we want to cool it
down as much as possible.

01:00:56.320 --> 01:01:00.080 align:middle line:84%
So we send it to
these big towers

01:01:00.080 --> 01:01:02.680 align:middle line:84%
or to some other source of
ultimate heat sink, where

01:01:02.680 --> 01:01:06.000 align:middle line:84%
we cool the water down so
we can start over and get

01:01:06.000 --> 01:01:07.620 align:middle line:90%
good thermodynamic efficiency.

01:01:07.620 --> 01:01:09.300 align:middle line:84%
If the water comes
in too hot here,

01:01:09.300 --> 01:01:12.200 align:middle line:84%
we can't run the
reactor at full power.

01:01:12.200 --> 01:01:16.040 align:middle line:84%
So you have to
de-rate the reactor.

01:01:16.040 --> 01:01:19.380 align:middle line:84%
So we have these big towers,
and that's, of course,

01:01:19.380 --> 01:01:21.880 align:middle line:84%
what we associate with
pictures of nuclear power

01:01:21.880 --> 01:01:24.280 align:middle line:90%
plants or these towers.

01:01:24.280 --> 01:01:26.360 align:middle line:84%
But they are just there
to cool off the water

01:01:26.360 --> 01:01:28.680 align:middle line:84%
after it goes
through the turbine,

01:01:28.680 --> 01:01:32.080 align:middle line:90%
before it goes pumped back in.

01:01:32.080 --> 01:01:34.743 align:middle line:84%
Ideally, all this stuff
that handles the radiation,

01:01:34.743 --> 01:01:36.160 align:middle line:84%
the radioactive
water, all of this

01:01:36.160 --> 01:01:39.400 align:middle line:84%
goes in a big concrete building
that is steel-reinforced.

01:01:39.400 --> 01:01:41.240 align:middle line:90%
We called that the containment.

01:01:41.240 --> 01:01:44.200 align:middle line:84%
And it's designed so that if
this thing explodes and all

01:01:44.200 --> 01:01:47.400 align:middle line:84%
this water flashes to
steam, which turns it

01:01:47.400 --> 01:01:53.080 align:middle line:84%
into a big hot balloon,
that this thing can

01:01:53.080 --> 01:01:56.740 align:middle line:84%
handle all that pressure,
at least temporarily.

01:01:56.740 --> 01:02:00.160 align:middle line:84%
It turns out it can't
handle it forever.

01:02:00.160 --> 01:02:02.780 align:middle line:84%
It can only handle it
for a couple of days,

01:02:02.780 --> 01:02:04.090 align:middle line:90%
and then you have to vent it.

01:02:04.090 --> 01:02:05.750 align:middle line:90%
Otherwise, it will explode.

01:02:05.750 --> 01:02:09.270 align:middle line:84%
And so that in Three
Mile Island accident,

01:02:09.270 --> 01:02:12.050 align:middle line:84%
those vents, to keep this
thing from exploding,

01:02:12.050 --> 01:02:15.590 align:middle line:84%
that venting process is what led
to the release of radioactivity

01:02:15.590 --> 01:02:17.630 align:middle line:84%
in the Three Mile
Island accident.

01:02:17.630 --> 01:02:20.170 align:middle line:84%
And in fact, the same thing
also occurred at Fukushima.

01:02:20.170 --> 01:02:22.030 align:middle line:90%
They had to vent the--

01:02:22.030 --> 01:02:24.470 align:middle line:84%
it wasn't a PWR, but
they also had to vent.

01:02:24.470 --> 01:02:30.550 align:middle line:84%
And you see this little
burst of radiation occurring.

01:02:30.550 --> 01:02:35.310 align:middle line:84%
There are, of course, concepts
that don't rely on water.

01:02:35.310 --> 01:02:38.170 align:middle line:84%
So this is called high
temperature graphite reactor,

01:02:38.170 --> 01:02:40.350 align:middle line:90%
HTGR.

01:02:40.350 --> 01:02:48.230 align:middle line:84%
This concept, you have
here these fuel pebbles,

01:02:48.230 --> 01:02:52.590 align:middle line:84%
which have little grains of
uranium sand in them coated

01:02:52.590 --> 01:02:54.350 align:middle line:90%
with graphite.

01:02:54.350 --> 01:02:58.010 align:middle line:84%
The graphite is a moderator,
slows things down.

01:02:58.010 --> 01:03:02.590 align:middle line:84%
And instead, you cool
it with gas, usually,

01:03:02.590 --> 01:03:06.910 align:middle line:84%
an inert gas like helium that
doesn't chemically react.

01:03:06.910 --> 01:03:13.450 align:middle line:84%
And that is nice because gas
is not-- it's already gas form,

01:03:13.450 --> 01:03:15.130 align:middle line:84%
so it won't undergo
a phase change.

01:03:15.130 --> 01:03:17.230 align:middle line:84%
If it gets too hot,
it stays as gas.

01:03:17.230 --> 01:03:19.470 align:middle line:84%
So water, when it gets
too hot, it boils,

01:03:19.470 --> 01:03:21.750 align:middle line:84%
and the volume
expands dramatically

01:03:21.750 --> 01:03:23.870 align:middle line:90%
and explodes things.

01:03:23.870 --> 01:03:26.592 align:middle line:84%
Here the gas just stays as gas
and the pressure does go up,

01:03:26.592 --> 01:03:28.050 align:middle line:84%
but you don't get
the phase change,

01:03:28.050 --> 01:03:32.550 align:middle line:84%
so it's a much safer device
from that perspective.

01:03:32.550 --> 01:03:34.950 align:middle line:84%
And so China is
currently marketing

01:03:34.950 --> 01:03:41.230 align:middle line:84%
a reactor of this concept called
the H-- it's called the PM 10.

01:03:41.230 --> 01:03:42.130 align:middle line:90%
Is that right?

01:03:42.130 --> 01:03:42.710 align:middle line:90%
HTR PM?

01:03:42.710 --> 01:03:45.830 align:middle line:84%
No HTR PM 10 was the
prototype HTR PR I think

01:03:45.830 --> 01:03:48.450 align:middle line:90%
is the current one.

01:03:48.450 --> 01:03:51.318 align:middle line:84%
This is called
pebble bed reactor.

01:03:51.318 --> 01:03:53.110 align:middle line:84%
It's called pebble bed
because the reactors

01:03:53.110 --> 01:03:55.390 align:middle line:90%
are in little pebbles.

01:03:55.390 --> 01:03:57.720 align:middle line:84%
You can also build this
without the fuel being-- sorry.

01:03:57.720 --> 01:03:58.970 align:middle line:90%
The fuel is in little pebbles.

01:03:58.970 --> 01:04:01.440 align:middle line:84%
You can also build this without
the fuel being in pebbles.

01:04:01.440 --> 01:04:04.480 align:middle line:84%
You can just have them as sticks
instead of reactor turnout.

01:04:04.480 --> 01:04:05.620 align:middle line:90%
That's a better design.

01:04:05.620 --> 01:04:07.260 align:middle line:84%
But people like the
pebble bed reactor

01:04:07.260 --> 01:04:09.552 align:middle line:84%
because the idea is that you
put the fuel in one pebble

01:04:09.552 --> 01:04:12.100 align:middle line:84%
at a time, and the old fuel
comes out one pebble at a time,

01:04:12.100 --> 01:04:14.540 align:middle line:84%
and you can just keep
the reactor running.

01:04:14.540 --> 01:04:17.980 align:middle line:84%
The problem with pebble beds
is, remember, criticality

01:04:17.980 --> 01:04:22.060 align:middle line:84%
is fundamentally an
issue of geometry.

01:04:22.060 --> 01:04:24.260 align:middle line:84%
And the geometry is
always changing every time

01:04:24.260 --> 01:04:25.980 align:middle line:90%
you add and remove pebble.

01:04:25.980 --> 01:04:28.860 align:middle line:84%
So the criticality goes
[VOCALIZING] and moves around,

01:04:28.860 --> 01:04:31.780 align:middle line:84%
and you have to control
it and deal with it.

01:04:31.780 --> 01:04:35.780 align:middle line:84%
So there was recently a proposal
to put one of these things

01:04:35.780 --> 01:04:37.153 align:middle line:90%
on a boat.

01:04:37.153 --> 01:04:38.820 align:middle line:84%
It's a really dumb
idea because the boat

01:04:38.820 --> 01:04:42.320 align:middle line:84%
goes like this and the geometry
is changing, and right.

01:04:42.320 --> 01:04:44.500 align:middle line:84%
So nonetheless, there's
a startup company

01:04:44.500 --> 01:04:47.380 align:middle line:90%
trying to do this.

01:04:47.380 --> 01:04:50.700 align:middle line:84%
Yeah, so there's
some nice features.

01:04:50.700 --> 01:04:53.900 align:middle line:84%
These reactors, because
they don't use water,

01:04:53.900 --> 01:04:56.460 align:middle line:84%
and because they don't
use metal cladding

01:04:56.460 --> 01:04:59.900 align:middle line:84%
but use graphite
around the fuel,

01:04:59.900 --> 01:05:01.760 align:middle line:84%
they can go to very,
very high temperatures.

01:05:01.760 --> 01:05:06.180 align:middle line:84%
So in principle, as long as the
temperature stays below 1,600

01:05:06.180 --> 01:05:09.180 align:middle line:84%
degrees C, which is the
temperature at which graphite

01:05:09.180 --> 01:05:15.220 align:middle line:84%
begins to autocatalytically
burn, this reactor is fine.

01:05:15.220 --> 01:05:17.480 align:middle line:84%
So because they go to
much higher temperatures,

01:05:17.480 --> 01:05:19.600 align:middle line:84%
you can get better
thermal efficiencies,

01:05:19.600 --> 01:05:21.260 align:middle line:84%
which are a function
of this delta t.

01:05:21.260 --> 01:05:26.300 align:middle line:84%
And you can do things that
need a really high temperature

01:05:26.300 --> 01:05:28.740 align:middle line:90%
heat, like melt steel.

01:05:28.740 --> 01:05:30.660 align:middle line:84%
And so you could use
these for all kinds

01:05:30.660 --> 01:05:33.460 align:middle line:84%
of industrial
processes in principle.

01:05:33.460 --> 01:05:35.620 align:middle line:84%
We'll have a whole
lecture about that.

01:05:35.620 --> 01:05:38.500 align:middle line:84%
But in principle, you can
use these kinds of reactors

01:05:38.500 --> 01:05:39.680 align:middle line:90%
for different concepts.

01:05:39.680 --> 01:05:42.660 align:middle line:90%


01:05:42.660 --> 01:05:47.740 align:middle line:84%
STUDENT: Is it easy to change
out the spent fuel container?

01:05:47.740 --> 01:05:48.780 align:middle line:90%
How big is it?

01:05:48.780 --> 01:05:51.020 align:middle line:84%
PROFESSOR: It doesn't
really look like this.

01:05:51.020 --> 01:05:54.513 align:middle line:84%
Yeah, there's all kinds of--
it's much more complicated.

01:05:54.513 --> 01:05:55.930 align:middle line:84%
Every pebble comes
out and there's

01:05:55.930 --> 01:05:59.410 align:middle line:84%
a radiation sensor that
measures how much of the uranium

01:05:59.410 --> 01:06:01.770 align:middle line:84%
is burned, and they decide
either to recycle it

01:06:01.770 --> 01:06:03.210 align:middle line:90%
or to dispose of it.

01:06:03.210 --> 01:06:05.097 align:middle line:84%
And it's all
controlled by robotics.

01:06:05.097 --> 01:06:06.930 align:middle line:84%
And yeah, it is not
just like this container

01:06:06.930 --> 01:06:08.250 align:middle line:90%
that you take away.

01:06:08.250 --> 01:06:10.450 align:middle line:90%
So this is figurative.

01:06:10.450 --> 01:06:13.210 align:middle line:90%


01:06:13.210 --> 01:06:15.790 align:middle line:84%
Although these reactors
are back in fashion,

01:06:15.790 --> 01:06:17.970 align:middle line:84%
I just want to point out
that this concept actually

01:06:17.970 --> 01:06:21.690 align:middle line:90%
dates back to 1960.

01:06:21.690 --> 01:06:23.850 align:middle line:90%
We built a few of these things.

01:06:23.850 --> 01:06:25.230 align:middle line:90%
They were not cost effective.

01:06:25.230 --> 01:06:28.930 align:middle line:84%
They had lots and lots of
problems with the fuel.

01:06:28.930 --> 01:06:31.390 align:middle line:84%
The fuel, because of
rubbing against each other,

01:06:31.390 --> 01:06:33.810 align:middle line:84%
would abrade and
create all this dust.

01:06:33.810 --> 01:06:39.170 align:middle line:84%
Then it turned out that fission
products would diffuse out

01:06:39.170 --> 01:06:41.850 align:middle line:84%
of the fuel because the
temperatures were so high,

01:06:41.850 --> 01:06:45.330 align:middle line:84%
so just kinetically move
around and get out of the fuel.

01:06:45.330 --> 01:06:47.730 align:middle line:84%
And then you had all this
dust, and so it adsorbed

01:06:47.730 --> 01:06:50.050 align:middle line:90%
this radiation onto this dust.

01:06:50.050 --> 01:06:54.250 align:middle line:84%
And then you had so you had all
this radioactive dust floating

01:06:54.250 --> 01:06:55.510 align:middle line:90%
around inside.

01:06:55.510 --> 01:06:57.390 align:middle line:84%
And if you tried to
open it to service it,

01:06:57.390 --> 01:06:59.570 align:middle line:84%
all this radioactive
dust would come out.

01:06:59.570 --> 01:07:02.490 align:middle line:84%
And so the facility
in Germany, I

01:07:02.490 --> 01:07:05.030 align:middle line:84%
think it was called the
AVR, where they built this.

01:07:05.030 --> 01:07:08.410 align:middle line:84%
It's to this day, the most
strontium contaminated facility

01:07:08.410 --> 01:07:10.450 align:middle line:84%
in the world, has never
been disassembled,

01:07:10.450 --> 01:07:12.570 align:middle line:84%
despite it being closed
for decades and decades

01:07:12.570 --> 01:07:15.250 align:middle line:90%
because it's just too reactive.

01:07:15.250 --> 01:07:17.930 align:middle line:84%
Some of these problems
have been maybe fixed.

01:07:17.930 --> 01:07:20.650 align:middle line:84%
They're fixed in the
lab, but whether they're

01:07:20.650 --> 01:07:23.770 align:middle line:84%
fixed in real life
is TBD, because it

01:07:23.770 --> 01:07:27.650 align:middle line:84%
depends on engineering
tolerances and getting

01:07:27.650 --> 01:07:29.290 align:middle line:90%
everything just right.

01:07:29.290 --> 01:07:31.330 align:middle line:84%
And as you scale
things up, things

01:07:31.330 --> 01:07:33.090 align:middle line:90%
tend not to be just right.

01:07:33.090 --> 01:07:36.130 align:middle line:84%
So these reactor
concepts are still

01:07:36.130 --> 01:07:39.210 align:middle line:84%
kind of on the edge
of whether or not

01:07:39.210 --> 01:07:42.050 align:middle line:84%
they're really mature
enough to be deployed.

01:07:42.050 --> 01:07:45.473 align:middle line:84%
But they're also more
complicated because of all

01:07:45.473 --> 01:07:47.890 align:middle line:84%
these pebbles, and all these
pebble sorters and everything

01:07:47.890 --> 01:07:48.930 align:middle line:90%
is going on.

01:07:48.930 --> 01:07:50.810 align:middle line:84%
So to keep the cost
down, one of the things

01:07:50.810 --> 01:07:54.720 align:middle line:84%
that has been done, for
example, by the Chinese, who

01:07:54.720 --> 01:07:57.240 align:middle line:84%
are the only ones
operating these right now,

01:07:57.240 --> 01:08:00.560 align:middle line:84%
is to just get rid of
the containment building.

01:08:00.560 --> 01:08:04.520 align:middle line:84%
And so they say these
things, they don't have water

01:08:04.520 --> 01:08:07.400 align:middle line:90%
and they don't melt down easily.

01:08:07.400 --> 01:08:12.560 align:middle line:84%
So as long as nothing runs into
the reactor and opens it up,

01:08:12.560 --> 01:08:16.359 align:middle line:84%
or there's not some weird
unexplained excursion,

01:08:16.359 --> 01:08:19.080 align:middle line:84%
we deem that it is safe
enough to operate these

01:08:19.080 --> 01:08:21.418 align:middle line:84%
without containment, which
is very questionable.

01:08:21.418 --> 01:08:23.460 align:middle line:84%
That was also the case
for the Chernobyl reactor.

01:08:23.460 --> 01:08:26.479 align:middle line:84%
They deemed it was safe enough
to operate without containment,

01:08:26.479 --> 01:08:28.760 align:middle line:84%
and then there was
a major accident

01:08:28.760 --> 01:08:31.540 align:middle line:84%
without containment
to contain new stuff.

01:08:31.540 --> 01:08:34.580 align:middle line:84%
One of the ways these
reactors can fail

01:08:34.580 --> 01:08:36.520 align:middle line:90%
is if there's water ingress.

01:08:36.520 --> 01:08:40.040 align:middle line:84%
So you could imagine a
variety of situations

01:08:40.040 --> 01:08:44.439 align:middle line:84%
where, for example, you build
this reactor in an area that's

01:08:44.439 --> 01:08:47.640 align:middle line:84%
a flood zone, and suddenly,
this reactor becomes flooded,

01:08:47.640 --> 01:08:50.120 align:middle line:84%
and water then over
moderates the neutrons.

01:08:50.120 --> 01:08:53.720 align:middle line:84%
And suddenly, this
thing explodes.

01:08:53.720 --> 01:08:57.240 align:middle line:84%
There's all kinds of things
you need to worry about.

01:08:57.240 --> 01:08:59.915 align:middle line:84%
So every time you
come up with a reactor

01:08:59.915 --> 01:09:01.540 align:middle line:84%
that is different
than what we've seen,

01:09:01.540 --> 01:09:03.165 align:middle line:84%
there are all these
wonderful features,

01:09:03.165 --> 01:09:05.560 align:middle line:84%
and then there are all these
other problems that people

01:09:05.560 --> 01:09:06.620 align:middle line:90%
tend not to talk about.

01:09:06.620 --> 01:09:10.640 align:middle line:84%
And that's kind of an
important message here.

01:09:10.640 --> 01:09:13.319 align:middle line:90%
Here's another variation.

01:09:13.319 --> 01:09:14.160 align:middle line:90%
What?

01:09:14.160 --> 01:09:15.340 align:middle line:90%
Oh, it looks great.

01:09:15.340 --> 01:09:16.819 align:middle line:90%
It looks virtually the same.

01:09:16.819 --> 01:09:18.560 align:middle line:90%
Yeah.

01:09:18.560 --> 01:09:20.279 align:middle line:90%
Here's what changes.

01:09:20.279 --> 01:09:24.920 align:middle line:84%
The coolant goes from
helium to liquid salt. Yeah,

01:09:24.920 --> 01:09:27.520 align:middle line:84%
so a very high
temperature salt. Usually,

01:09:27.520 --> 01:09:29.080 align:middle line:90%
this is a salt called FLiBe.

01:09:29.080 --> 01:09:32.200 align:middle line:90%
Fluorine, lithium, beryllium.

01:09:32.200 --> 01:09:34.720 align:middle line:90%
It also has these nice features.

01:09:34.720 --> 01:09:39.979 align:middle line:84%
FLiBe, I'll just write it out
so you know what I'm saying.

01:09:39.979 --> 01:09:46.399 align:middle line:90%


01:09:46.399 --> 01:09:50.270 align:middle line:84%
Fluorine, lithium,
beryllium, FLiBe,

01:09:50.270 --> 01:09:52.010 align:middle line:84%
it expands even
less than helium.

01:09:52.010 --> 01:09:53.750 align:middle line:84%
One of the problems
with helium is

01:09:53.750 --> 01:09:56.790 align:middle line:84%
that the conductivity, the
thermal conductivity of helium

01:09:56.790 --> 01:09:58.750 align:middle line:90%
goes down when it gets hotter.

01:09:58.750 --> 01:10:00.030 align:middle line:90%
It's weird.

01:10:00.030 --> 01:10:03.530 align:middle line:84%
So the result is that
in a helium version,

01:10:03.530 --> 01:10:06.190 align:middle line:84%
if I get a hotspot here, the
helium cools it even less,

01:10:06.190 --> 01:10:07.950 align:middle line:84%
and the hotspot
becomes even hotter.

01:10:07.950 --> 01:10:10.550 align:middle line:84%
And then you have the
fuel exceeding its design

01:10:10.550 --> 01:10:12.710 align:middle line:90%
temperatures and problems.

01:10:12.710 --> 01:10:15.630 align:middle line:84%
So FLiBe doesn't
have that feature,

01:10:15.630 --> 01:10:17.570 align:middle line:90%
and so it also expands less.

01:10:17.570 --> 01:10:20.230 align:middle line:84%
And you see it's in
principle, a variant on this

01:10:20.230 --> 01:10:22.990 align:middle line:90%
that is more robust.

01:10:22.990 --> 01:10:24.430 align:middle line:90%
So that's nice.

01:10:24.430 --> 01:10:26.710 align:middle line:84%
But of course, there are
other problems with FLiBe.

01:10:26.710 --> 01:10:28.630 align:middle line:84%
One is it's a salt.
So if it gets cold,

01:10:28.630 --> 01:10:31.990 align:middle line:84%
the whole thing congeals
into an ice, a block of salt,

01:10:31.990 --> 01:10:33.190 align:middle line:90%
and it's a problem.

01:10:33.190 --> 01:10:35.290 align:middle line:84%
Another problem
is that beryllium,

01:10:35.290 --> 01:10:41.030 align:middle line:84%
which is a key component of
the salt, is extremely toxic.

01:10:41.030 --> 01:10:43.750 align:middle line:84%
So there's all kinds
of issues again.

01:10:43.750 --> 01:10:45.790 align:middle line:84%
And a third one is
it turns out FLiBe,

01:10:45.790 --> 01:10:48.030 align:middle line:84%
if it gets any
contaminants in it,

01:10:48.030 --> 01:10:53.230 align:middle line:84%
because it's an ionic material,
it's really good at corrosion.

01:10:53.230 --> 01:10:57.310 align:middle line:84%
It will just corrode
anything very rapidly

01:10:57.310 --> 01:11:00.510 align:middle line:84%
because you can just move
electrons around and chemically

01:11:00.510 --> 01:11:04.030 align:middle line:90%
facilitate chemical corrosion.

01:11:04.030 --> 01:11:07.690 align:middle line:84%
So these reactors are
also being designed.

01:11:07.690 --> 01:11:10.150 align:middle line:84%
There's a group here in
our department at MIT

01:11:10.150 --> 01:11:13.930 align:middle line:84%
that is a big fan of these,
but again, also has issues.

01:11:13.930 --> 01:11:17.670 align:middle line:84%
FLiBe is also Incidentally the
coolant inside the spark fusion

01:11:17.670 --> 01:11:18.630 align:middle line:90%
reactor.

01:11:18.630 --> 01:11:21.350 align:middle line:84%
And all these same
problems exist with FLiBe

01:11:21.350 --> 01:11:24.150 align:middle line:90%
in that application as well.

01:11:24.150 --> 01:11:26.910 align:middle line:90%
Here's another concept.

01:11:26.910 --> 01:11:28.630 align:middle line:90%
What is this concept?

01:11:28.630 --> 01:11:31.170 align:middle line:84%
I guess this is-- oh,
this is the fast reactor.

01:11:31.170 --> 01:11:37.870 align:middle line:84%
So here, this reactor
is a pool type reactor.

01:11:37.870 --> 01:11:41.630 align:middle line:84%
I think EVR 2 was
of this design.

01:11:41.630 --> 01:11:44.330 align:middle line:84%
They basically have the
fuel sitting in here.

01:11:44.330 --> 01:11:49.340 align:middle line:84%
They have a hot liquid,
non-boiling fluid

01:11:49.340 --> 01:11:52.260 align:middle line:84%
circulating heat around
this heat exchanger.

01:11:52.260 --> 01:11:54.260 align:middle line:84%
And then they just
take the heat out

01:11:54.260 --> 01:11:57.160 align:middle line:90%
of this big caldron of liquid.

01:11:57.160 --> 01:11:58.300 align:middle line:90%
What is the liquid?

01:11:58.300 --> 01:11:59.967 align:middle line:84%
Well, it has to be
something with really

01:11:59.967 --> 01:12:03.860 align:middle line:84%
good thermal conductivity,
and not something that

01:12:03.860 --> 01:12:07.380 align:middle line:84%
absorbs neutrons or
undergoes nuclear reactions.

01:12:07.380 --> 01:12:14.600 align:middle line:84%
So the coolant of choice
is sodium metal, which is,

01:12:14.600 --> 01:12:17.380 align:middle line:84%
of course-- has anyone
thrown sodium into water?

01:12:17.380 --> 01:12:21.820 align:middle line:84%
Knows that sodium spontaneously
combust in air when water vapor

01:12:21.820 --> 01:12:23.700 align:middle line:90%
or when you put it into water.

01:12:23.700 --> 01:12:26.740 align:middle line:84%
So you have to then put a
cover gas over this thing

01:12:26.740 --> 01:12:29.720 align:middle line:84%
to make sure that no
water vapor gets in there.

01:12:29.720 --> 01:12:32.220 align:middle line:84%
Otherwise this
reactor spontaneously

01:12:32.220 --> 01:12:33.280 align:middle line:90%
will catch on fire.

01:12:33.280 --> 01:12:36.160 align:middle line:90%


01:12:36.160 --> 01:12:39.040 align:middle line:84%
Has anyone heard of
Oklo, the startup?

01:12:39.040 --> 01:12:42.380 align:middle line:84%
This is the concept that
they're now going with.

01:12:42.380 --> 01:12:45.300 align:middle line:84%
Of course, we built
these reactors, too.

01:12:45.300 --> 01:12:51.420 align:middle line:84%
The Russians are still kind of
a fan of this reactor concept.

01:12:51.420 --> 01:12:55.420 align:middle line:84%
They tend to have a lot of
problems because of the sodium.

01:12:55.420 --> 01:12:58.380 align:middle line:84%
The Russians have the
highest success with it

01:12:58.380 --> 01:13:01.860 align:middle line:84%
because every time their
reactor catches on fire,

01:13:01.860 --> 01:13:03.780 align:middle line:90%
they don't turn off the reactor.

01:13:03.780 --> 01:13:07.093 align:middle line:84%
They just fight the fire
while the reactor is running,

01:13:07.093 --> 01:13:09.260 align:middle line:84%
which I think it's something
you could only possibly

01:13:09.260 --> 01:13:11.620 align:middle line:90%
do in Russia.

01:13:11.620 --> 01:13:15.040 align:middle line:84%
And they have multiple
of these cooling systems.

01:13:15.040 --> 01:13:17.260 align:middle line:84%
So it has to get
a fire over here,

01:13:17.260 --> 01:13:20.020 align:middle line:84%
and they have another one over
here that they can keep running,

01:13:20.020 --> 01:13:24.020 align:middle line:90%
keep cooling the reactor down.

01:13:24.020 --> 01:13:26.260 align:middle line:84%
The main advantage of
a fast reactor, so this

01:13:26.260 --> 01:13:28.060 align:middle line:84%
is a fast reactor,
so it doesn't rely

01:13:28.060 --> 01:13:29.900 align:middle line:90%
on slowing down the neutrons.

01:13:29.900 --> 01:13:33.780 align:middle line:84%
In fact, if the neutrons slow
down, you have a problem.

01:13:33.780 --> 01:13:35.103 align:middle line:90%
So you have a lot more fuel.

01:13:35.103 --> 01:13:36.520 align:middle line:84%
You have the fuel
closer together.

01:13:36.520 --> 01:13:38.460 align:middle line:90%
You use weapons grade fuel.

01:13:38.460 --> 01:13:40.650 align:middle line:84%
But one of the
features of doing it

01:13:40.650 --> 01:13:44.610 align:middle line:84%
is that you then have a
lot of extra neutrons,

01:13:44.610 --> 01:13:49.090 align:middle line:84%
because you don't lose them to
absorption in your moderator

01:13:49.090 --> 01:13:50.290 align:middle line:90%
material.

01:13:50.290 --> 01:13:51.770 align:middle line:90%
And so you can do things.

01:13:51.770 --> 01:13:55.690 align:middle line:84%
You can put some waste or
something else in here,

01:13:55.690 --> 01:14:00.730 align:middle line:84%
and you can use those
extra neutrons to transmute

01:14:00.730 --> 01:14:03.370 align:middle line:90%
one isotope to another isotope.

01:14:03.370 --> 01:14:06.370 align:middle line:84%
So one of the ways
these reactors operates

01:14:06.370 --> 01:14:09.450 align:middle line:84%
are they start out with
weapons grade uranium.

01:14:09.450 --> 01:14:14.470 align:middle line:84%
You put low enriched
uranium or natural uranium,

01:14:14.470 --> 01:14:17.670 align:middle line:84%
which contains mostly
uranium 238 on the outside.

01:14:17.670 --> 01:14:20.250 align:middle line:84%
That's not useful
as fuel, but it's

01:14:20.250 --> 01:14:22.290 align:middle line:90%
absorbing the extra neutrons.

01:14:22.290 --> 01:14:25.810 align:middle line:84%
And for a reaction that I will
show you later on in class,

01:14:25.810 --> 01:14:28.530 align:middle line:84%
that then turns into
plutonium, which you then

01:14:28.530 --> 01:14:33.050 align:middle line:84%
extract and use to make new
plutonium fuel, which makes

01:14:33.050 --> 01:14:34.890 align:middle line:90%
even more neutrons per fission.

01:14:34.890 --> 01:14:40.810 align:middle line:84%
And then this thing becomes
this fuel making machine,

01:14:40.810 --> 01:14:46.130 align:middle line:84%
where it converts non-fuel
uranium into fuel plutonium,

01:14:46.130 --> 01:14:50.097 align:middle line:84%
and therefore, uses very
efficiently the uranium

01:14:50.097 --> 01:14:51.430 align:middle line:90%
that you pull out of the ground.

01:14:51.430 --> 01:14:53.910 align:middle line:84%
Because most of the
time we're doing this--

01:14:53.910 --> 01:14:56.490 align:middle line:90%


01:14:56.490 --> 01:15:00.050 align:middle line:84%
most of the time, we were
doing this-- where is it?

01:15:00.050 --> 01:15:01.790 align:middle line:84%
We were doing this
isotope separation,

01:15:01.790 --> 01:15:05.450 align:middle line:84%
where we had to get rid
of these grade 238 atoms.

01:15:05.450 --> 01:15:07.810 align:middle line:84%
Now instead, we're going to
convert them electronically

01:15:07.810 --> 01:15:10.890 align:middle line:90%
with extra neutrons into fuel.

01:15:10.890 --> 01:15:13.470 align:middle line:84%
And that means you get
more uranium utilization.

01:15:13.470 --> 01:15:17.090 align:middle line:84%
That would be important if the
world had very little uranium

01:15:17.090 --> 01:15:19.170 align:middle line:84%
in it, but it turns
out not to be the case.

01:15:19.170 --> 01:15:22.170 align:middle line:84%
But nevertheless, people
still like the idea

01:15:22.170 --> 01:15:24.570 align:middle line:90%
of efficient usage of uranium.

01:15:24.570 --> 01:15:27.490 align:middle line:84%
But it depends, of
course, all on economics.

01:15:27.490 --> 01:15:32.790 align:middle line:84%
If this process is not
efficient, then economically,

01:15:32.790 --> 01:15:36.530 align:middle line:84%
then who cares if it's
efficient on a per atom basis?

01:15:36.530 --> 01:15:39.780 align:middle line:84%
So we'll talk more about these
reactors later on in the class.

01:15:39.780 --> 01:15:42.060 align:middle line:84%
But this is also how the
thorium reactors work.

01:15:42.060 --> 01:15:44.520 align:middle line:90%
Thorium is this gray stuff.

01:15:44.520 --> 01:15:48.320 align:middle line:84%
It's not a fuel, but you
can convert it into a fuel

01:15:48.320 --> 01:15:51.480 align:middle line:84%
if you stick it around the
core, you absorb neutrons,

01:15:51.480 --> 01:15:56.077 align:middle line:84%
and then you can get uranium 233
out of it and make fuel of that.

01:15:56.077 --> 01:15:57.660 align:middle line:84%
So that's how a
thorium reactor works.

01:15:57.660 --> 01:16:00.200 align:middle line:84%
It's the same way
as a fast reactor.

01:16:00.200 --> 01:16:00.700 align:middle line:90%
All right.

01:16:00.700 --> 01:16:09.000 align:middle line:84%
So that's all I want to say
on terms of fission reactors.

01:16:09.000 --> 01:16:12.360 align:middle line:84%
We have only a few moments left,
so let me just briefly talk

01:16:12.360 --> 01:16:14.120 align:middle line:90%
about fusion.

01:16:14.120 --> 01:16:15.840 align:middle line:84%
Remember, the key
thing about fusion

01:16:15.840 --> 01:16:18.840 align:middle line:84%
is that in order to overcome
the coulombic repulsion,

01:16:18.840 --> 01:16:21.560 align:middle line:84%
we have to get these
atoms moving very fast.

01:16:21.560 --> 01:16:25.840 align:middle line:84%
And so we need some way
to heat them up and keep

01:16:25.840 --> 01:16:27.300 align:middle line:90%
them contained in a space.

01:16:27.300 --> 01:16:31.160 align:middle line:84%
So lots of different
concepts for doing this.

01:16:31.160 --> 01:16:35.920 align:middle line:84%
One is that we could put a
little pellet inside a chamber,

01:16:35.920 --> 01:16:39.080 align:middle line:84%
and then we could shoot a whole
bunch of laser beams at it.

01:16:39.080 --> 01:16:43.440 align:middle line:84%
And if we get all the
laser beams incident on it

01:16:43.440 --> 01:16:48.360 align:middle line:84%
symmetrically, then it will
be inertially confined,

01:16:48.360 --> 01:16:50.780 align:middle line:90%
and heat up and undergo fusion.

01:16:50.780 --> 01:16:53.680 align:middle line:84%
And that is what's happening
at NIF, the National Ignition

01:16:53.680 --> 01:16:57.920 align:middle line:84%
Facility that has operated at
Lawrence Livermore National

01:16:57.920 --> 01:16:59.320 align:middle line:90%
Laboratory.

01:16:59.320 --> 01:17:01.880 align:middle line:84%
Doing this has taken
decades of research

01:17:01.880 --> 01:17:05.520 align:middle line:84%
because it turns out heating
things perfectly symmetrically

01:17:05.520 --> 01:17:07.960 align:middle line:90%
is not easy.

01:17:07.960 --> 01:17:11.960 align:middle line:90%
So that is NIF.

01:17:11.960 --> 01:17:14.480 align:middle line:90%
There are other concepts.

01:17:14.480 --> 01:17:18.960 align:middle line:84%
You can heat it using RF
energy when you vibrate,

01:17:18.960 --> 01:17:22.040 align:middle line:84%
and you try to
contain it somehow.

01:17:22.040 --> 01:17:25.960 align:middle line:84%
So one way you contain it
is that you could put it

01:17:25.960 --> 01:17:31.860 align:middle line:84%
in a magnetic field, so that
if these are atoms are charged,

01:17:31.860 --> 01:17:34.270 align:middle line:84%
then they will circle
back on themselves

01:17:34.270 --> 01:17:37.230 align:middle line:90%
and stay in one place.

01:17:37.230 --> 01:17:39.053 align:middle line:90%
This is how tokamaks work.

01:17:39.053 --> 01:17:40.970 align:middle line:84%
And then there are other
concepts for heating.

01:17:40.970 --> 01:17:44.550 align:middle line:84%
You can shoot neutrons
and other neutral beams

01:17:44.550 --> 01:17:46.890 align:middle line:84%
in there to kinetically
collide with the BT gas,

01:17:46.890 --> 01:17:49.150 align:middle line:84%
and try to heat them up
through kinetic collision.

01:17:49.150 --> 01:17:51.710 align:middle line:90%
These are very inefficient.

01:17:51.710 --> 01:17:56.830 align:middle line:84%
This is a photograph of one
of the laser rooms at NIF.

01:17:56.830 --> 01:17:58.470 align:middle line:90%
These are all lasers.

01:17:58.470 --> 01:18:02.070 align:middle line:84%
You see a picture of a guy, and
there's just lots, and lots,

01:18:02.070 --> 01:18:04.790 align:middle line:84%
and lots of terawatts
of laser energy

01:18:04.790 --> 01:18:06.450 align:middle line:90%
going and heating these things.

01:18:06.450 --> 01:18:11.640 align:middle line:90%


01:18:11.640 --> 01:18:15.230 align:middle line:84%
I don't really have
time to talk about Q.

01:18:15.230 --> 01:18:17.630 align:middle line:90%
I think I will wrap it up there.

01:18:17.630 --> 01:18:18.810 align:middle line:90%
Maybe I'll leave it here.

01:18:18.810 --> 01:18:21.710 align:middle line:84%
This just gives you a
sense of what actually

01:18:21.710 --> 01:18:23.590 align:middle line:90%
happens in the laser version.

01:18:23.590 --> 01:18:26.390 align:middle line:84%
This is the amount of
energy that goes in.

01:18:26.390 --> 01:18:29.350 align:middle line:84%
Some gets scattered, some
causes electrons to bounce off

01:18:29.350 --> 01:18:31.510 align:middle line:90%
a material from work functions.

01:18:31.510 --> 01:18:34.573 align:middle line:84%
You get some plasmas,
you get some X-rays.

01:18:34.573 --> 01:18:35.990 align:middle line:84%
A lot of it just
goes into heating

01:18:35.990 --> 01:18:39.270 align:middle line:84%
the walls of the thing
that's holding the fuel.

01:18:39.270 --> 01:18:42.830 align:middle line:84%
Some of it just leaks
out, and then some of it

01:18:42.830 --> 01:18:45.710 align:middle line:84%
goes into actually
compressing the fuel,

01:18:45.710 --> 01:18:47.810 align:middle line:90%
and then you get energy.

01:18:47.810 --> 01:18:49.990 align:middle line:90%
So all of these losses--

01:18:49.990 --> 01:18:53.870 align:middle line:84%
fine tuning this process so
these losses are controlled

01:18:53.870 --> 01:18:57.550 align:middle line:84%
are what was so hard
and what took me

01:18:57.550 --> 01:19:00.470 align:middle line:90%
so long to be successful at it.

01:19:00.470 --> 01:19:02.250 align:middle line:84%
And with that, I think
we're out of time.

01:19:02.250 --> 01:19:05.530 align:middle line:84%
So that's the 101 on how
the technology works.

01:19:05.530 --> 01:19:08.780 align:middle line:84%
We'll get back to policy
issues next class.

01:19:08.780 --> 01:19:31.000 align:middle line:90%