Fission product yield

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[edit] Mass vs. yield curve

From Fluoride volatility: Blue elements have volatile fluorides or are already volatile; green elements do not but have volatile chlorides; red elements have neither, but the elements themselves are volatile at very high temperatures. Yields at 100,1,2,3 years after fission, not considering later neutron capture, fraction of 100% not 200%. Beta decay Kr-85→Rb, Sr-90→Zr, Ru-106→Pd, Sb-125→Te, Cs-137→Ba, Ce-144→Nd, Sm-151→Eu, Eu-155→Gd visible.
From Fluoride volatility: Blue elements have volatile fluorides or are already volatile; green elements do not but have volatile chlorides; red elements have neither, but the elements themselves are volatile at very high temperatures. Yields at 100,1,2,3 years after fission, not considering later neutron capture, fraction of 100% not 200%. Beta decay Kr-85Rb, Sr-90Zr, Ru-106Pd, Sb-125→Te, Cs-137Ba, Ce-144→Nd, Sm-151Eu, Eu-155Gd visible.
Fission product yields by mass for thermal neutron fission of U-235, Pu-239, a combination of the two typical of current nuclear power reactors, and U-233 used in the thorium cycle
Fission product yields by mass for thermal neutron fission of U-235, Pu-239, a combination of the two typical of current nuclear power reactors, and U-233 used in the thorium cycle

If a graph of the mass or mole yield of fission products against the atomic number of the fragments is drawn then it has two peaks, one in the area zirconium through to palladium and one at xenon through to neodymium. This is because the fission event causes the nucleus to split in an asymmetric manner.[1]

Yield vs. Z - This is a typical distribution for the fission of uranium. Note that in the calculations used to make this graph the activation of fission products was ignored and the fission was assumed to occur in a single moment rather than a length of time. In this bar chart results are shown for different cooling times (time after fission).

Because of the stability of nuclei with even numbers of protons and/or neutrons the curve of yield against element is not a smooth curve. It tends to alternate.

In general, the higher the energy of the state that undergoes nuclear fission, the more likely a symmetric fission is, hence as the neutron energy increases and/or the energy of the fissile atom increases, the valley between the two peaks becomes more shallow; for instance, the curve of yield against mass for Pu-239 has a more shallow valley than that observed for U-235, when the neutrons are thermal neutrons. The curves for the fission of the later actinides tend to make even more shallow valleys. In extreme cases such as 259Fm, only one peak is seen.


Yield is usually expressed relative to number of fissioning nuclei, not the number of fission product nuclei, that is, yields should sum to 200%.

The table in the next section gives yields for notable radioactive (with halflife greater than one year, plus iodine-131) fission products, and (the few most absorptive) neutron poison fission products, from thermal neutron fission of U-235 (typical of nuclear power reactors), computed from [2].

The yields in the table sum to only 45.5522%, including 34.8401% which have halflife greater than one year:

t½ in years yield
1 to 5 2.7252%
10 to 100 12.5340%
2 to 300,000 6.1251%
1.5 to 16 million 13.4494%

The remainder and the unlisted 154.4478% decay with halflife less than one year into nonradioactive nuclei.

This is before accounting for the effects of any subsequent neutron capture, e.g.:

  • 135Xe capturing a neutron and becoming nonradioactive 136Xe, rather than decaying to 135Cs which is radioactive with a halflife of 2.3 million years
  • Nonradioactive 133Cs capturing a neutron and becoming 134Cs which is radioactive with a halflife of 2 years
  • Many of the fission products with mass 147 or greater such as Promethium-147, Samarium-149, Samarium-151, Europium-155 have significant cross sections for neutron capture, so that one heavy fission product atom can undergo multiple successive neutron captures.

Besides fission products, the other types of radioactive products are

[edit] Ordered by yield (thermal neutron fission of U-235)

Yield Isotope Halflife Comment
6.7896% 133Cs 134Cs 2.065y neutron capture (29 barns) slowly converts stable 133Cs to 134Cs, which itself is low-yield because beta decay stops at 134Xe; can be further converted (140 barns) to 135Cs
6.3333% 135I 135Xe 6.57h most important neutron poison; neutron capture converts 10%-50% of 135Xe to 136Xe; remainder decays (9.14h) to 135Cs (2.3my)
6.2956% 93Zr 1.53my
6.0899% 137Cs 30.17y
6.0507% 99Tc 211ky Candidate for disposal by nuclear transmutation
5.7518% 90Sr 28.9y
2.8336% 131I 8.02d
2.2713% 147Pm 2.62y
1.0888% 149Sm nonradioactive 2nd most significant neutron poison
0.6576% 129I 15.7my Candidate for disposal by nuclear transmutation
0.4203% 151Sm 90y neutron poison; most will be converted to stable 152Sm
0.3912% 106Ru 373.6d
0.2717% 85Kr 10.78y
0.1629% 107Pd 6.5my
0.0508% 79Se 295ky
0.0330% 155Eu 155Gd 4.76y both neutron poisons, most will be destroyed while fuel still in use
0.0297% 125Sb 2.76y
0.0236% 126Sn 230ky
0.0065% 157Gd nonradioactive neutron poison
0.0003% 113mCd 14.1y neutron poison, most will be destroyed while fuel still in use
Yields at 100,1,2,3 years after fission, probably of Pu-239 not U-235 because left hump is shifted right, not considering later neutron capture, fraction of 100% not 200%. Beta decay Kr-85→Rb, Sr-90→Zr, Ru-106→Pd, Sb-125→Te, Cs-137→Ba, Ce-144→Nd, Sm-151→Eu, Eu-155→Gd visible.
Yields at 100,1,2,3 years after fission, probably of Pu-239 not U-235 because left hump is shifted right, not considering later neutron capture, fraction of 100% not 200%. Beta decay Kr-85Rb, Sr-90Zr, Ru-106Pd, Sb-125→Te, Cs-137Ba, Ce-144→Nd, Sm-151Eu, Eu-155Gd visible.

[edit] Ordered by mass number

Yield Isotope
0.0508% selenium-79
0.2717% krypton-85
5.7518% strontium-90
6.2956% zirconium-93
6.0507% technetium-99
0.3912% ruthenium-106
0.1629% palladium-107
0.0003% cadmium-113m
0.0297% antimony-125
0.0236% tin-126
0.6576% iodine-129
2.8336% iodine-131
6.7896% caesium-133 caesium-134
6.3333% iodine-135 xenon-135 caesium-135
6.0899% caesium-137
2.2713% promethium-147
1.0888% samarium-149
0.4203% samarium-151
0.0330% europium-155 gadolinium-155
0.0065% gadolinium-157

[edit] Ordered by halflife

Yield Isotope Halflife Comment
2.8336% 131I 8.02d Important in nuclear explosions and accidents but not in cooled spent nuclear fuel
0.3912% 106Ru 373.6d
6.7896% 133Cs 134Cs 2.065y neutron capture converts a few percent of nonradioactive 133Cs to 134Cs, which has low direct yield because beta decay stops at 134Xe
2.2713% 147Pm 2.62y
0.0297% 125Sb 2.76y
<0.0330% 155Eu 155Gd 4.76y both neutron poisons, most will be destroyed by neutron capture while still in reactor
0.2717% 85Kr 10.78y Current nuclear reprocessing releases it to atmosphere
<0.0003% 113mCd 14.1y most will be destroyed by neutron capture while still in reactor
5.7518% 90Sr 28.9y One of two principal medium-term radiation and heat sources
6.0899% 137Cs 30.17y One of two principal medium-term radiation and heat sources
<0.4203% 151Sm 90y Most will be destroyed by neutron capture while still in reactor
6.0507% 99Tc 211ky Dominant radiation source among FP in period about ×104 to ×106 years; mobile in environment; candidate for disposal by nuclear transmutation
0.0236% 126Sn 230ky
0.0508% 79Se 295ky
6.2956% 93Zr 1.53my
<6.3333% 135Cs 2.3my
0.1629% 107Pd 6.5my
0.6576% 129I 15.7my Mobile in environment; candidate for disposal by nuclear transmutation
<1.0888% 149Sm nonradioactive neutron poison
<0.0065% 157Gd nonradioactive neutron poison

[edit] Ordered by thermal neutron neutron absorption cross section

Barns Yield Isotope t½ Comment
2650000 6.3333% 135I 135Xe 6.57h Most important neutron poison; neutron capture rapidly converts 135Xe to 136Xe; remainder decays (9.14h) to 135Cs (2.3my)
254000 0.0065% 157Gd neutron poison, but low yield
40140 1.0888% 149Sm 2nd most important neutron poison
20600 0.0003% 113mCd 14.1y most will be destroyed by neutron capture
15200 0.4203% 151Sm 90y most will be destroyed by neutron capture
3950 0.0330% 155Eu 155Gd 4.76y both neutron poisons
96 2.2713% 147Pm 2.62y
80 2.8336% 131I 8.02d
29
140
6.7896% 133Cs 134Cs
2.065y
neutron capture converts a few percent of nonradioactive 133Cs to 134Cs, which has very low direct yield because beta decay stops at 134Xe; further capture will add to long-lived 135Cs
20 6.0507% 99Tc 211ky candidate for disposal by nuclear transmutation
18 0.6576% 129I 15.7my candidate for disposal by nuclear transmutation
2.7 6.2956% 93Zr 1.53my transmutation impractical
1.8 0.1629% 107Pd 6.5my
1.66 0.2717% 85Kr 10.78y
0.90 5.7518% 90Sr 28.9y
0.15 0.3912% 106Ru 373.6d
0.11 6.0899% 137Cs 30.17y
0.0297% 125Sb 2.76y
0.0236% 126Sn 230ky
0.0508% 79Se 295ky

[edit] References

  • Chain Fission Yields For 90-Th-232 92-U-233 92-U-235 92-U-238 94-Pu-239 94-Pu-241, and Thermal, Fast, 14MeV.