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NEUTRON SPECTRUM HARDENING IN CRITICAL
AND SUBCRITICAL REACTORS COOLED WITH
LEAD-208
G.L. Khorasanov, A.I. Blokhin
State Scientific Centre of the Russian
Federation – Institute for Physics and
Power Engineering named after
A.I. Leypunsky (IPPE)
Paper presented by Dr. Georgii KHORASANOV
Introduction
As known, the spent nuclear fuel of light water reactors
contains approximately 1% of plutonium, 0.1% of neptunium,
americium and curium and 4% of long-lived products of
fission (technetium, cesium and others). The spent nuclear
fuel contains radio nuclides which have to be isolated from
the environment during a period more than 1000 years.
Among these nuclides the most dangerous from the radio
toxicity point of view are plutonium and americium-241.
Meanwhile plutonium can be used as fuel for future FRs, as
concerns the low fissile americium-241 it must be incinerated
or transmuted into other short-lived radio nuclides at future
ADSs or FRs.
As known, the minimum of Am-241 fission in the hard part
of neutron spectrum is around 0.1 MeV. In the intermediate
and thermal parts of neutron spectra the Am-241 fission
cross sections are great enough but at the same time
radiation neutron capture are much greater that impacts to
transmutation of americium into high order actinides rather
than to its fission. Am-241 fission microscopic cross section:
10-2
10-1
100
101
102
103
104
105
106
107
10-2
10-1
100
101
Cro
ss-s
ecti
on
, b
arn
En, eV
Am-241(n,f)
Radiation neutron capture cross section for Am-241
It can be seen that below En=0.1 MeV the radiation neutron
capture cross sections are equal to 1 - 1000 barns. In the
same region the fission cross sections are equal to 0.02 - 10 barns.
10-2
10-1
100
101
102
103
104
105
106
107
10-4
10-3
10-2
10-1
100
101
102
103
104
Am-241(n,g)
Cro
ss-s
ecti
on
, b
arn
En, eV
Usually in ADSs and FRs the mean neutron energy of
core does not exceed 0.5 MeV, while the mean energy
of fission neutrons emitted by uranium-235, for
example, is equal to 1.98 MeV.
10-4
10-3
10-2
10-1
100
101
102
10-4
10-3
10-2
10-1
100
12
Fn
[a.u
.]
En [MeV]
One of the ways to enhance the neutron spectra hardening
consists in using core materials – coolant, structural
element, etc, - having small neutron moderation.
As such a coolant the molten lead enriched with lead stable
isotope – lead-208 – was proposed by authors.
In the paper the possibility of neutron spectra hardening with
the aim to enhance Am-241 fission probability is analyzed.
Blanket of the ADS with thermal power of 80 MW designed by
authors, core and lateral blanket (LB) of the FR RBEC-M
with thermal power 900 MW designed at the National
Research Centre “Kurchatov Institute” are assumed.
Method of calculations
It was calculated the neutron spectra of the 80 MW ADS
blanket and of the reactor RBEC-M core and LB, and
then on the basis of spectra obtained the mean energies
of neutrons, one-group Am-241 fission and radiation
neutron capture cross sections were found.
For hardening neutron spectra a coolant from Pb-208
instead of Pb-nat in the 80 MW ADS and instead of Pb-Bi
in the RBEC-M were assumed.
Code MCNP5 and input data for RBEC-M were used
for determining the corresponding neutron spectra. Mean
energies of neutrons were calculated due to expression:
<Еn>=∑Еnφn/∑φn, were Еn – is the mean neutron energy in
the group g (number of groups g=28) of the ABBN-93
system, φn – is neutron fluxes into the group g,
summation ∑ is made with respect all groups where
neutron fluxes distinguishes from zero, practically.
Similarly Am-241 one-group fission and radiation neutron
capture cross sections, <σfis> and <σс> , were calculated.
The evaluated files of the library ENDF/B-VII.0 were used
for determining microscopic cross sections of Am-241
fission and radiation neutron capture.
Calculations and discussion
In Table 1 the mean energies of neutrons and probability
of Am-241 fission along the subcritical blanket (H=110
cm, outer D=124 cm) of the ADS with thermal power of
80 MW are given.
Blanket was homogeneously supplied with uranium-
plutonium nitride fuel in which the plutonium enrichment
was equal to 15%. Pb-208 and Pb-nat were used as
coolants.
In replacement of Pb-208 with Pb-nat coolant the
effective neutron multiplication factor Kef was
decreased approximately to 2%.
Subzone 1
En=0.4254/0.4406
Fis=13.9982/11.3604
Subzone 2
En=0.4438/0.3408
Fis=13.6897/9.8404
Subzone 3
En=0.3346/0.2362
Fis=6.2326/3.8327
Target-
source of neutrons
Subzone 4
En=0.4820/0.5576
Fis=18.9701/21.5634
Subzone 5
En=0.5377/0.4929
Fis=21.7887/17.6977
Subzone 6
En=0.3723/0.3754
Fis=9.1580/11.9034
Subzone 7
En=0.3365/0.2554
Fis=8.6446/8.3228
Subzone 8
En=0.3731/0.3811
Fis=11.2360/12.4424
Subzone 9
En=0.3182/0.3285
Fis=6.0852/6.7810
The mean neutron energy averaged over the blanket is
equal to 0.4026 MeV in using Pb-208 as coolant and
0.3787 MeV in using natural lead, Pb-nat.
Thus, the coolant replacement leads to neutron
spectrum hardening on 6.3%.
Correspondingly on 5.8% increases the averaged over
the blanket probability of Am-241 fission which is
determined as the ratio Fis=<σfis>/(<σfis>+<σс>), where
<σfis> - is one-group fission cross section and <σс> - is
one-group radiation neutron capture cross section.
Probability of Am-241 fission in the central parts of
blanket reaches 22% while at the periphery of blanket it
falls down to 6%.
Along 80 MW ADS blanket one-group Am-241 fission cross
sections are of 0.1170–0.3724 barns while maximum cross
section reaches at the central parts of blanket and
minimum cross section falls down at the periphery of
blanket . This dependence is in a good correlation with the
dependence of mean neutron energy along the blanket.
In the reactor RBEC-M the replacement of its standard lead-
bismuth coolant with Pb-208 coolant leads to hardening of
neutron spectra of sub cores and lateral blanket on 6.4%
and 6.1%, respectively.
In the next slide the neutron and physical parameters of the
900 MW thermal reactor RBEC-M are given. Reactor is
cooled by its standard coolant from Pb-Bi (thin lettering)
and by coolant from Pb-208 (bold lettering) as it was
proposed by authors of this presentation.
Parameters Inner core Middle core Outer core Lateral
blanket
Mean energy
<En>, МeV,0.4246/0.3992 0.4408/0.4209 0.4433/0.4307 0.2662/0.2509
Relative increasing
of <En>, %6.3627 4.7280 2.8790 6.0980
Coolant volume
share, %62.5 57.3 44.6 56.5
Fuel volume
share,%
23.3 27.6 38.2 -
Fuel plutonium
enrichment, %
13.59 13.59 13.59 -
Am-241 cross
section <σfis>, barns0.2882/0.2629 0.2975/0.2779 0.2950/0.2829 0.1671/0.1521
Relative increasing
of <σfis>, %9.6234 7.0529 4.2771 9.8619
Am-241 capture
cross section <σс>,
barns
1.5816/1.5967 1.5306/1.5366 1.5632/1.5627 2.4249/2.4958
Probability of Am-
241 fission, %15.4134/14.1374 16.2737/15.3155 15.8755/15.3283 6.4468/5.7442
For comparison: Am-241 fission probability in the
spectrum of Pu-239 fission neutrons:
The mean energy of neutrons for Pu-239 spectrum of
fission neutrons: <En>= 2.0345 MeV
One-group Am-241 fission cross section in this spectrum
of neutrons: <σfis> = 1.3676 barns
One-group Am-241 radiation neutron capture cross
section in this spectrum of neutrons: <σc> = 0.2736 barns
Probability of Am-241 fission: Fis= <σfis>/<σfis>+ <σc>=
83.3%
Conclusion
It might be concluded that replacement of lead or lead-
bismuth coolant with lead-208 coolant in installations with
fast neutrons leads to neutron spectrum hardening up to
6.3-6.4%. Under these conditions one-group Am-241
fission cross sections are increasing on 8-10%.
It was shown that in the ADS annular blanket (H=110 cm,
outer D=124 cm) the Am-241 fission probability reaches
22% in the central parts of the blanket while at its
periphery it falls down to 6%.
The probability of Am-241 fission in the lateral blanket of the
fast reactor RBEC-M does not exceed 5.7-6.4%, while in the
sub cores of this reactor the probability of Am-241 fission is
dramatically higher, 15-16%.
It might be mentioned once more that Am-241 fission in
relatively hard neutron spectra is more preferable than its
transmutation via neutron capture in the intermediate and
thermal neutron spectra which leads to accumulation
of curium and californium.
To pick up the 80 MW ADS blanket heat by means of the
Pb-208 coolant about 60 tones (~6 m3) of this lead isotope are
required.
To pick up the 900 MW RBEC-M core heat about 680 tones
(~70 m3) of this lead isotope are required.
At last I would like to announce a new book titled:
“Application of stable lead isotope Pb-208 in nuclear power
engineering and its acquisition techniques”.
Editor G.L. Khorasanov. New-York: NOVA publishers, 2013,
194 p., (ISBN: 978-1-62417-653-1).
Table of Contents:
Preface pp. i-x
Chapter 1. Some Advantages in Using Lead-208 as Coolant For Fast Reactors and Accelerator Driven Systems
(Georgy L. Khorasanov and Anatoly I. Blokhin, State Scientific Center of the Russian Federation – Institute for Physics and
Power Engineering named after A.I. Leypunsky (SSC IPPE), Obninsk, Russian Federation)pp. 1-20
Chapter 2. Introductions of 208Pb Coolant to Innovative Fast Reactors
(Hiroshi Sekimoto, Tokyo Institute of Technology, Tokyo, Japan)pp. 21-42
Chapter 3. Radiogenic Lead with Dominant Content of 208Pb: New Coolant, Neutron Moderator and Reflector for Innovative
Nuclear Facilities
(A.N. Shmelev, G.G. Kulikov, V.A. Apse, A.A. Chekin and E.G. Kulikov, National Research Nuclear University “MEPhI”, Moscow,
Russia)pp. 43-98
Chapter 4. Photochemical Laser Separation of Lead Isotopes for Safe Nuclear Power Reactors
(P.A. Bokhan, N.V. Fateev, V.A. Kim and Dm. E. Zakrevsky, A.V. Rzhanov Institute of Semiconductor Physics, Siberian Branch of
the Russian Academy of Sciences, Novosibirsk, Russia)pp. 99-124
Chapter 5. Assessment of Specific Cost of Highly Enriched Lead-208 Isotope by Gas Centrifuges Using Various Raw Materials
(V.D. Borisevich, A. Yu. Smirnov and G.A. Sulaberidze, National Research Nuclear University "MEPhI", Moscow, Russia)pp.
125-136
Chapter 6. Method for Obtaining Isotopically Enriched Metal Lead from Monoisotopic Tetramethyllead and its Purification
(Dmitry V. Akimov, Oleg S. Andrienko, Nikolay B. Egorov, Ivan I. Zherin, Denis V. Indyk and Mishik A. Kazaryan, Tomsk
Polytechnic University, Tomsk, Russian Federation and others)pp. 137-176
Series:
Nuclear Materials and Disaster Research
Binding: Hardcover
Pub. Date: 2013- February
Pages: 194, 6x9 - (NBC-C)
ISBN: 978-1-62417-653-1
Status: AV
THANK YOU FOR YOUR ATTENTION!
References
• D.A. Blokhin, E.F. Mitenkova, G.L. Khorasanov, E.A. Zemskov, A.I.
Blokhin. Evolution of fast reactor core spectra in changing a heavy liquid
metal coolant by molten Pb-208. In CD-ROM Proceedings of the
International Conference PHYSOR 2012 – Advances in Reactor Physics –
Linking Research, Industry, and Education, Knoxville, Tennessee, USA,
April 15-20, 2012, Paper #219.
• G.L. Khorasanov, A.I. Blokhin. One-group fission cross sections for
plutonium and minor actinides inserted in calculated neutron spectra of fast
reactor cooled with lead-208 or lead-bismuth eutectic. In CD-ROM
Proceedings of the International Conference PHYSOR 2012 – Advances in
Reactor Physics – Linking Research, Industry, and Education, Knoxville,
Tennessee, USA, April 15-20, 2012, Paper #106.
• D.A. Blokhin, E.F. Mitenkova, A.I. Blokhin. Generation of point wise
nuclear data library on the basis of ENDF/B-VII.0, JEFF-3.1.1, JENDL-4.0.
Preprint IBRAE-2011-08, 2011, Nuclear Safety Institute of RAS, Moscow.
The advantages of the photochemical method of lead
isotope separation consist in one- or two- photon
excitation of atoms, a possibility of using commercially
available highly effective semiconductor lasers and high
efficiency of lead isotope separation in a reaction chamber.
The technique of selective photoreactions makes use of
such working substance as lead vapor and does not require
conversion of lead into a volatile substance and its back
transformation into the target product which is the case with
separating gas centrifuges.
All this gives good ground to expect in the years to
come the production of 208Pb (with 99.0%
enrichment) in large quantities (tones) for
acceptable price, about $200/kg.