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GG425, wk15 L41, S2008
Lecture 41
Radioactivity, Nuclear
Processes, and Nuclear Energy
NO READING!!
Today
d. Fission and Isotope Enrichment and Fission Products
GG425, wk15 L41, S2008
Fission
• The “chain reaction” concept
• Isotope enrichment
– Prerequisite for nuclear weapons/power
– Natural fission
• Fission Products and other radioactive
materials
– Products of neutron addition (irradiation)
– Products of fission
– Incidental production of radioactive
material
GG425 -- ENVIRONMENTAL GEOCHEMISTRY-- Week 15, lecture 41
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GG425, wk15 L41, S2008
235U is a natural, highly fissile isotope
• 235U mostly decays via a series of α and β decays to
207Pb
• A very small fraction of 235U undergoes
“spontaneous” fission (i.e., it splits into small
fragments and some neutrons without provocation).
• If these neutrons hit other 235U atoms they can
induce additional fission reaction with great efficiency.
GG425, wk15 L41, S2008
235U, continued
• A key aspect of 235U fission is that each fission
reaction produces several neutrons:
235U + n º fission products + νn.
• ν (the neutron yield) is about 2.5 for 235U
• Critical mass is the mass of 235U required to initiate
a “runaway” fission reaction. If each fission yields two
neutrons, causing two additional fissions, the rate of
fission and energy release will increase exponentially.
• The 1st 235U critical mass was humanly achieved 70
yrs ago
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GG425, wk15 L41, S2008
Critical Mass
Chain Reaction
Also note that each
neutron produced
goes on to split
another 235U atom.
This is also an over
simplification. See
fission factor (η)
In this cartoon the
neutron yield (n) is
set to 3 (artificially
high for simplicity).
GG425, wk15 L41, S2008
Isotope Enrichment
• 235U half life = 0.7 x 109 yrs 238U half life = 4.46 x 109 yrs
Age of Earth = 4.55 x 109 yrs
• Much of the original 235U on Earth has decayed away. Today,
only about 0.72% of natural U is 235U. The rest is 238U (a much
less fissile isotope).
• To sustain a nuclear chain reaction 235U must be enriched
above natural levels.
• This enrichment increases the probability that neutrons
released by one fission reaction will go on to cause additional
fission reactions.
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GG425, wk15 L41, S2008
• U-235 enrichment increases the probability that neutrons
released by one fission reaction will go on to cause additional
fission reactions.
• Enrichment to about 3% is needed for Nuclear power plant
fuel.
• A nuclear explosive needs at least 20% U-235. Ideally greater
than 90% U-235 is used.
• It is difficult to separate 235U from 238U in significant quantities
because of the small fractional mass difference (1.3%).
• Apparatuses for isotope separation (gaseous diffusion or
centrifugation) are usually used.
Isotope Enrichment
GG425, wk15 L41, S2008
A gas centrifuge is an evacuated casing containing a cylindrical rotor which rotates at
high speed in an almost friction-free environment.
U is fed into the rotor as gaseous uranium hexafluoride (UF6) which also rotates.
The centrifugal forces push the heavier U-238 closer to the wall of the rotor than the
lighter U-235, so that the gas closer to the wall becomes depleted in U-235 and the
gas nearer the rotor axis is enriched in U-235.
Text modified from the Institute for Science and International
Security website: http://www.exportcontrols.org/centrifuges.html
Enrichment from a
single centrifuge is
small, so they are
linked together by
pipes into cascades
of successive
centrifuges, where
the U-235 is
gradually enriched to
the required level.
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GG425, wk15 L41, S2008
Natural Fission
• Earlier in Earth history the natural 235U/238U ratio was much higher.
• 2 to 3 billion years ago ore-grade quantities of naturally occurring U-oxide
were suitable for a spontaneous, continuous fission chain reaction.
• Such a deposit existed in Gabon, Africa. The Oklo mine has been
intensely studied to determine the fate of the radionuclides formed during
this episode of natural fission.
GG425, wk15 L41, S2008
Natural Fission
• Fission products
and yields suggest
parts of the ore
body were critical
for a few 10s of
thousands of years
• Mobile fission
product elements
migrated into
nearby clay and
shale beds but
stayed mostly close
to the source
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GG425, wk15 L41, S2008
σ is the reaction cross-section (measured in area) - it is
proportional to the reaction probability for fission or capture:
The bigger the cross section the more likely the reaction.
Compare 235U and 238U.
Also compare thermal vs. fast neutrons.
Neutron Cross Sections
GG425, wk15 L41, S2008
The fission probability depends on neutron energy
Low energy distribution represents case where neutrons dissipate
energy by interaction with moderator molecules (often H2O) and come to
thermal equilibrium. These subtleties are important when building a
nuclear bomb or nuclear power generator.
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GG425, wk15 L41, S2008
Issues for building nuclear weapons and power generators
For a bomb one has to get enough fissionable material to initiate a “runaway”
chain reaction.
For a power plant a steady-state must be maintained to prevent a runaway
reaction (‘melt down”). How? For each fission reaction that occurs only one
neutron normally goes on to produce an additional fission.
Fission factor (η)
is an important concept :
η= ν*(probability that a
released neutron will go on
to produce additional fission
reactions)
1946 “Baker” submarine test
at Bikini atoll
GG425, wk15 L41, S2008
fission reactors : 3 ways radioactive
material is produced.
1. Neutron addition pathways to additional
heavy nuclides (Np, Pu) via irradiation
2. Fission products from splitting heavy
nuclides
3. Incidental radioactive material from
neutron irradiation of non-fuel reactor
components.
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GG425, wk15 L41, S2008
1. Neutron addition pathways to additional heavy
nuclides (Np, Pu) via irradiation
• This table that we saw a few slides ago also illustrates that other nuclides
are formed during a fission chain reaction.
• Neutrons can be added to the nuclei of other atoms that do not split but
instead undergo subsequent gamma emission.
• Most important is 239Pu production by neutron addition to 238U followed by
double beta decay.
These reactions are also central to breeder reactors and fuel reprocessing
GG425, wk15 L41, S2008
Non-fission nuclear reactions
• Irradiation reactions result primarily from neutron addition.
The main result is the creation of 239Pu in reactors.
This “creates” new fissionable material = “new” nuclear fuel.
• Some reactors are designed to maximize production of such
new fissionable material.
• If fuel produced exceeds fuel consumed it is called a
“breeder” reactor.
• To “harvest” this new fuel requires reprocessing of “spent”
fuel rods - highly radioactive material.
• Leaving fissionable material behind as high level waste is
problematic because it is much more prone to becoming
“critical”.
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GG425, wk15 L41, S2008
Irradiation reactions of U
U-235 U-238
GG425, wk15 L41, S2008
About 5 to 10 kg of
separated Pu is required to
make a weapon.
This is roughly
what is produced
in a typical US
nuclear power
plant each year.
However this
material is not
separated from
“spent” fuel rods in
the US and we
currently have no
plans for large
scale
reprocessing of
spent fuel. +
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GG425, wk15 L41, S2008
2. Fission products from splitting heavy nuclides
This plot shows the
fission products of 235U.
Note the mass range on
the x-axis.
It is centered at about
half the 235U mass, but
the distribution of nuclei
produced is bimodal,
with a minimum close to
the 50% of mass 235.
GG425, wk15 L41, S2008
Fission products are bimodally produced as short and long lived
isotopes.
The best way to immobilize one element may not be chemically/
geochemically appropriate for others in the waste mix.
Long lived nuclides
present the more difficult
waste storage issues.
The large number of
elements complicates
long term storage of
waste because many
elements with different
chemistries must be
immobilized for long
periods.
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GG425, wk15 L41, S2008
Standard practice is to
store high level waste for
some years (5 - 10).
Approximately 99% of the
initial radioactivity burden
decays away in this time.
Note that this plot is only
for fission products. Many
heavy nuclei (e.g., 239Pu)
formed by neutron addition
reactions have very long
half lives and do not under
go significant decay on
these time scales.
GG425, wk15 L41, S2008
Comparison of long lived
fission product activity to short
lived products.
This explains why the
chemistry of long term stored
radioactive waste is
fundamentally different from
weapons detonation and/or
accidents at active reactors