[0001] The invention is in the field of nuclear waste control and is particularly directed
toward the elimination of long-lived radioactive nuclides of nuclear reactor waste.
[0002] The difficulties encountered in attempting to safely dispose of radio-active wastes
generated by the fission process in nuclear reactors is probably the largest single
cause of public resistance to the construction of nuclear power stations. A decade
ago it was liberally estimated that 200,000 megawatts of nuclear generated electricity
would be available by 1980. Today this expectation is down by one half. A major argument
against permitting the further spread of nuclear power involves concern over methods
proposed for disposal of the nuclear waste products. Present methods of disposal of
nuclear waste, which may be in the gaseous, liquid or solid state consist either of
dilution and dispersion or storage. In the first approach radioactive gases or liquids
are diluted with large volumes of air or water to reduce the activity per unit volume
to an allegedly safe level and released into the environment. In the second use, radioactive
materials are stored in the containers in the ground or under the sea. With adequate
safeguards, storage for about 30 years suffices to remove the harm from relatively
short-lived radioactive nuclides, but the situation is quite different for the long
lived wastes. Fortunately, the majority of the fission wastes have half-lives less
than one year, which means that at worst they must be stored for 33 years to be reduced
to 10-
10 of their original amount. However, eighteen fission waste products as well as all
the actinide waste products have half-lives greater than one year, but less than 10"
years, and it is these products that pose the long term storage problem. To ensure
that long lived waste products are kept out of the biosphere until they become harmless-involving
periods of hundreds of thousands or millions of years-present proposals involve burial
in geological salt formations or other formations such as granite, quartzite, tuff
(welded volcanic ash) and shale.
[0003] The burial solution to the waste problem is based on the assumption that the geological
formation will remain stable for the necessary containment period. While this assumption
is reasonable for plutonium, for example, it is not evident for the longer lived wastes
including the fission products Pd107, T
c99, 1
129, CS
135 and Zr
93, as well as the actinides.
[0004] In view of the extreme hazard that would be created if these materials were not be
released into the biosphere, there is a strong and growing resistance to the "bury
it and forget it" philosophy, and this opposition has now developed to the point of
significantly slowing the growth of nuclear power. It is therefore most desirable
if a method could be found to completely eliminate the noxious radioactive wastes
from the environment.
[0005] Two methods have been suggested for such a final solution to the waste problem. Extraterrestrial
disposal would permanently remove the wastes by transportation by rocket into the
sun. Two major problems face this technique. First the cost, and second, but more
significant, there is the possibility of vehicle failure within the atmosphere leading
to a highly dangerous level of radioactive contamination.
[0006] A more attractive technique involves the direct transmutation of the dangerous waste
materials by neutron bombardment into innocuous materials, or at worst short lived
radioactive species. Such a transmutation can be achieved, for example, by recycling
waste products back into the reactor which produced them. Such nuclear transformations
have been discussed in the literature but have been found only applicable for effective
elimination of the actinides produced by neutron capture e.g. "Advanced Waste Management
Studies Progress Report", 8, BNWL-B-223 (1973); H. C. Claiborne, "Neutron Induced
Transmutation of High-Level Radioactive Wastes", ORNL-TM-3964, 1, 24; and "High Level
Radioactive Waste Management Alternatives", 4, 9, BNWL 1900 (1974). The applicability
of transmuting long-lived fission products as well as the actinides by neutron capture
in reactors has not been regarded as practical since such a procedure reputedly produces
more long term waste than it removes.
'
[0007] A more sophisticated method for processing radioactive waste was disclosed in GB-A-802,971.
This method comprises the following steps:
a) separating stable nuclides (which run the risk of being transformed to radioactive
nuclides during irradiation) from the initial waste material,
b) exposing the remaining waste material to a flux of nuclear radiation in order to
transform radioactive substances to stable or short-lived radioactive isotopes,
c) fractionating the resulting material to separate said stable and short-lived isotopes,
and
d) optionally adding the remaining radioactive residue to fresh radio-active waste
or alternatively exposing it to another flux.
[0008] This method will have the same disadvantages as mentioned above: the method will
consume a rather high amount of neutrons and produce more long-term waste than it
removes.
[0009] It is a general object of the invention now to reduce the amount of radio-active
waste and in particular the amount of fission products from nuclear reactors, so that
time storage requirements may be reduced from those required for natural radio-active
decay.
[0010] A more specific object of the invention is to propose an improved method for processing
radio-active waste materials, whereby the rate of transmutation of the radio-active
elements can be increased in excess of their natural decay rates for a more rapid
conversion to stable nuclides.
[0011] The invention provides a method of decreasing the amount of long-lived fission products
in radio-active waste materials, wherein these waste materials, after removal of stable
and other constituents, are exposed to a neutron flux, in order to produce transmutations
therein, and wherein the resulting product, after removal of stable and short-lived
radio-active nuclides is re-exposed to a neutron flux. This method is characterized
by the following sequence of steps:
a) separating relatively short-lived radio-active nuclides and stable nuclides from
the initial waste material and storing at least some of them,
b) separating the remaining waste material into individual components, each component
essentially comprising about one relatively long-lived radio-active nuclide or combination
of nuclides, selected from the group comprising Se79, Kr85, Sr90, Zr93, Tc99, Pd107, Sb125+Sn126, l129, Cs135, Cs137, Pm147, Sm'51+Eu, and actinides,
c) exposing the aforesaid components with the possible exception of Se79, Sn126+Sb125, Cs137 and Pm147, individually to a neutron flux in order to induce transmutations therein,
d) separating relatively short-lived radio-active nuclides and stable nuclides from
each of said components after exposure and storing at least some of them,
e) separating the remaining matter of each individual component after exposure into
further components, each further component comprising about one relatively long-lived
radio-active nuclide or combination of nuclides selected from the above-mentioned
group,
f) combining, as far as possible, those further components that contain corresponding
nuclides,
g) repeating the exposure and separation steps at least one time with at least some
of the further components,
h) and storing the components after they have reached a reduced level of radio-activity
over their natural decay.
[0012] Thus, the invented method makes use of the steps of transmuting long-lived fission
products by neutron capture, together with previous separation of stable and short-lived
radio-active nuclides, just like in the method of GB-A-802,971. A difference with
that prior art method is, however, that the long-lived. nuclides to be exposed to
a neutron flux are separated into components before the exposure to that flux and
that each component is individually exposed to the flux. This brings about a better
economy of neutron consumption since each component may be irradiated with an appropriate
amount of neutrons. Moreover, the method will not produce more long-term waste since
the exposure rates can be chosen individually.
[0013] The invented method will become clear in relation to the following specificiation
taken in conjunction with the drawings wherein:
Figure 1 is a block diagram of the overall waste transmutation method and system in
accordance with the invention;
Figure 2 is a block diagram of a preferred embodiment of the separation/irradiation
treatment cycle;
Figure 3 is an illustration of the format utilized to deposit the decay/transmutation
chain in general;
Figure 4 illustrates a protion of the decay/transmutation chain for a specific nuclide;
Figure 5 is a chart of the fission fragment decay times as compared,to one-half the
decay activity of U238;
Figure 6 is a block diagram illustrating neutron economy in the fission reactor process;
Figure 7 represents the decay/transmutation chain for Se79;
Figure 8 represents the decay/transmutation chain for Kr85 and Sr90;
Figure 9 is a chart showing the removal of Kr85 as compared to its natural decay;
Figure 10 represents the decay/transmutation chain for Zr93;
Figure 11 is a chart showing the removal of ZrS3 for both chemical and isotope separation;
Figure 12 represents the decay/transmutation chain for Tc99;
Figure 13 represents the decay/transmutation chain for Ru106 and Pd107;
Figure 14 represents the decay/transmutation chain for Sn126 and Sb125
Figure 15 represents the decay/transmutation chain for Sn126 and I129;
Figure 16 represents the decay/transmutation chain for the Cesium isotopes;
Figure 17 is a graph showing the amount of CS135 and CS133 as a function of Xenon removal time after fission;
Figure 18 is a graph showing the amount of Cs133, Cs134 and Cs135 as a function of time;
Figure 19 represents the decay/transmutation chain for Pm147 and Sm151;
Figure 20 is a graph showing the removal of Sm151 as a function of time;
Figure 21 represents the decay/transmutation chain for Eu154 and Eu155; and
Figure 22 is a graph showing the time development of Eu154 and Eu155.
[0014] As used herein, the term transmutation may be defined as the change of one nuclide
into another nuclide of the same or a different element by any nuclear process, natural
or artificial, A beneficial transmutation can be defined as any transmutation which
leads, or is part of a sequence of transmutation which leads, in a reasonably short
time, from a long lived radioactive nuclide to a stable nuclide.
[0015] In accordance with the principle of the invention, radioactive waste materials are
re-cycled in a region of a high-flux of thermal neutrons to permit neutron induced
transmutation. Chemical and/or physical and/or isotope separation of the waste is
performed both prior to and after neutron irradiation.
[0016] This separation has several benefits:
1. It minimizes the waste of neutrons which would occur in the non-beneficial transmutation
of a stable nuclide into another nuclide.
2. It minimizes the production of long-lived radioactive nuclides from transmutation
of stable nuclides.
3. It minimizes the amount of material that has to be handled in the exposure to the
high flux.
4. It maximizes the beneficial use of the available neutrons in reducing the radioactive
waste hazard.
[0017] A block diagram of the process in accordance with the invention is shown in Figure
1. U
235 or other fissile material undergoes fission, splitting into various fission fragments
and producing neutrons. Some of these neutrons are used up in maintaining the chain
reaction, while others are used in transmuting the waste. The waste products, including
the fission fragments and actinides produced by neutron irradiation of Uranium, Plutonium,
and/or Thorium, are separated into various components, each component comprising one
or more different elements of the waste nuclei. This separation is either chemical
or physical or a combination of the two and may further include isotope separation.
In principle, isotope separation, as for example employing a mass spectrometer, could
be utilized for separation of all isotopes. Economic consideration would, however,
dictate primarily a combination of chemical and physical processing. Those "good"
components which include only short-lived and stable elements and which do not include
long-lived hazardous radioactive substances are stored to allow the decay of short-lived
substances. Those "bad" components containing long-lived radioactive substances are
exposed to a high flux of neutrons in order to induce transmutation. After a certain
amount of exposure, these wastes are recycled through the separation/irradiation loop.
[0018] The high neutron flux may be produced by any of a number of methods that are often
referred to as flux-trapping. These methods allow the flux in some regions of the
fission reactor to be significantly higher than in other parts, making use of the
strong decrease of cross sections of increasing neutron energy from thermal to MeV
regime neutrons. Flux-trap reactor designs are described in, for example, U.S. Patents
3,255,083; 3,341,420; 3,276,963; 3,175,955; and 2,337,475.
[0019] Alternatively, the high flux may, in the future, be produced independently of fission
reactors, most notably by fusion reactors. In this case economy of reaction utilization
is not critical as copious supplies of neutrons can be produced with little accompanying
radioactive waste. Figure 1 illustrates the inventive method generally.
[0020] Where reaction economy is an important factor i.e. fission produced sources, the
preferred chemical/physical separation techniques is to be carried out as a two-stage
process as illustrated in Figure 2.
[0021] In stage 1, reactor products are separated into components designated, for the sake
of illustration A, B, D and D. Each component, once separated is maintained in a separate
channel isolated from other components and fed to the high flux region. After transmutation
in the high flux region the output of any given channel will generally contain some
smaller amount of the original component remaining together with additional elements.
These additional elements may be "good" products designated G
i, G
2....G
6, or other components which are long-lived and require further processing. The original
component of each channel is thus separated in stage 2 from these additional elements
as illustrated in figure 2. The recycling then occurs from the output of the stage
2 separation to the high flux region. Isotope separation may be part of stage 1 and/or
stage 2 separation. Further, a specific rest stage may be provided before and/or after
exposure to the neutron flux to permit β decay where desired prior to further neutron
exposure.
[0022] The choice of separation/irradiation strategies depends, in addition to economic
and chemical considerations, on the transmutations possible. Figure 3 shows a general
format utilized in describing the decay/transmutation sequence and figure 4 illustrates,
as an example, a portion of a chart of some nuclides illustrating the transmutation
possibilities. Natural β decay transmutations change a nuclide into another shown
directly above it, while artificial neutron induced transmutations take a nuclide
into another immediately to the right. a and (3+decay are not significant, and for
simplicity, only one isomer of each nuclide has been considered. The values shown
on the vertical lines connecting nuclides are the half-life of the transmutation in
hours, while the values on the horizontal line are neutron cross-sections in barns.
[0023] Fission yields per 100 fissions are also given in the chart. The direct fission yield
is almost completely to neutron rich nuclides not shown, which would occur below those
shown. These neutron rich nuclides rapidly undergo a series of (3 decays, as tabulated
by Rose, P. F. and Burrows, T. W., ENDF/B Fission Product Decay Data, Aug. 1976, BNL-NCS-50545
(ENDF-243), to those nuclides which are illustrated on the chart. The yield shown
on the charts of Figure 3 and 4 is therefore the same yield as the direct fission
products of the same atomic weight.
[0024] Sr
9° is a long-lived radioactive nuclide which is desired to be removed. Therefore, the
transmutation from Sr
90 to Sr
91 is a beneficial transmutation. Sr
91 naturally transmutes in a short time to stable Zr
91. On the other hand, the other neutron induced transmutations shown are not beneficial
and must be minimized by choice of the separation/irradiation loop. Y
89→Y
90, for example, does not involve long-lived nuclides at all and therefore the induced
neutron transformation simply wastes neutrons. Sr
89→Sr
90 not only wastes neutrons but also procudes a long-lived nuclide. As described more
fully hereinafter, the Sr89 is allowed to naturally transmute to Y
89 prior to insertion of Sr into the high neutron flux region. Y is then chemically
separated from the Sr to prevent its otherwise neutron usage, and the Sr is exposed
to the high neutron flux to transmute to Sr
90 to Sr
91.
[0025] Table 1 lists 18 long-lived radioactive fission products of concern. These "bad"
nuclides are broken-up into two groups, the first group having half-lives less than
100 years, and the second group having half-lives greater than 30,000 years. In addition,
there are actinide wastes notlisted. In reference to figure 2, there may be up to
18 separate separation/irradiation loops for the fission products and an appropriate
number of loops for the actinides, one loop for each substance.
[0026] The "bad" nuclides considered for elimination are listed in Table 1 and are defined
primarily by the amount of radio-activity they are responsible for in the waste, after
the waste has been stored for a certain length of time. Their half-life is not too
long, else they provide very little radioactivity. Their half-life is not too short,
else they decay during the storage period. They must be present, or at least have
the possibility of being present, in a sufficiently high concentration to contribute
significant radioactivity.
[0027] With these qualitative criteria in mind, the following somewhat arbitrary quantitative
definition of a bad fission product nuclide is utilized:
1. Its half life is greater than 1 year;
2. Its half life is less than 1010 years;
3. Its atomic weight is between A=72 and A=167, since these are the limits of fission
product compilations, and the yields outside this range are below the part per billion
level.
4. It is descended from neutron-rich nuclear species by either (a) β decays or (b)
a combination of decays and neutron absorptions. However, (3 decay chains through
nuclides of half life greater than 104 years are not considered. Exceptions to this rule are present at the 10 parts per
billion level in the waste.
5. The excited states Sn121m, HO166m and Cd113m are excluded.
[0028] A conservative level of activity at which a substance can be considered nearly safe
is half the activity of an equal amount of U
238. This criterion is in agreement with the cutoff in half lives of 10
10 years, twice the half life of U
238 (and also twice the age of the Earth). The required storage time as a function of
half life is shown in figure 5, with the bad nuclides indicated by dots. For our one-year
cutoff in half life, this criterion requires a storage time of 33 years. The lower
group of bad nuclides requires up to 3,000 years of storage, while the upper group
requires at least a million years for every nuclide in that group, and up to 1/30
the age of the earth.
[0029] The transmutation process must safisfy at leasuhreecriteria; (1) it must consume
less energy than was produced when the waste was created, (2) it must generate of
itself less hazardous waste than that destroyed, and (3) must eliminate waste materials
at a rate significantly greater than their natural decay rate. Previous studies reported
in ERDA-76-43, vol: 4 indicate that only neutron absorption processed can satisfy
the first criterion. The major source of neutrons at present are the fission power
reactors themselves. Therefore the issue of the second criterion is whether the number
of neutrons produced in the power reactor is sufficient to transmute all or a substantial
amount of the long lived waste produced along with those neutrons. The employment
of chemical and/or physical separation of waste contained in this invention is aimed
primarily toward the satisfaction of the third criterion. In the case of the actinides,
both as a consequence of their large neutron capture probabilities and because their
final removal by fission is accompanied by regeneration of some of the neutrons absorbed,
all three criteria can be met. However, when the fission wastes are included, earlier
studies cited above, not incorporating the principles of the invention, concluded
that the second and third criteria could not be met. The invention is directed toward
meeting all three criteria.
[0030] With regard to the second criterion, it is convenient to perform the transmutation
in the power reactors themselves. Fission of an average U-235 nucleus generates a
certain amount of waste and a certain number of neutrons. The question in satisfying
the second criteria reduces to whether these neutrons are sufficient to transmute
the waste produced.
[0031] More specifically, one may consider the fate of the neutrons produced from 100 fissions
of U
235, as illustrated in figure 6. All neutrons are considered to be thermalized. Of the
244 neutrons produced, 117 are required to maintain the chain reaction, causing 100
additional fissions and 17 absorptions without fission. The remaining 127 neutrons
are absorbed in various ways including being absorbed in U
238, producing actinide waste and ultimately more fission waste, and being absorbed in
the moderator and structure of the reactor. Those remaining are available for waste
transmutation. Of the 200 fission products there are 35 long-lived radio-active nuclei
(plus those from fission of Plutonium and actinide wastes). This waste requires at
least 35 of the, at most, 127 neutrons in order to accomplish the transmutation. Without
the principles of the invention, many more than 35, and even more than 127, neutrons
will be required.
[0032] To establish whether there are sufficient neutrons to eliminate the associated waste
products, it is necessary to study the transmutation-decay chain information on all
nuclides which are placed in the high flux region. The most important such nuclides
are the isotopes of those elements including the long-lived radioactive fission products
of which the eighteen most important radioactive nuclides are listed in Table 1. The
nuclide symbol and half-life are listed in the first two columns. The cross sections
which determine the neutron-induced transmutation rates are listed in the third column.
The approximate amounts (per 100 fissions) in the nuclear waste is given in column
4. Column 5 gives the name of the element.
[0033] A computer program, WASTE, listed in appendix A was utilized to study the chains
for all eighteen fission waste products. This program constructs a solution of a large
set of coupled differential equations describing the transmutations. The form of these
equations is that the time rate of change of any nuclide is equated to a sum of up
to four terms as follows:
1. The decrease of the nuclide by natural decay.
2. The decrease of the nuclide by neutron-induced transmutation into another nuclide.
3. The increase of the nuclide from neutron-induced transmutation of another nuclide.
[0034] The computer program further allows initial separation and periodic separation between
exposures to a high thermal neutron flux. A strategy for each nuclide is presented
which is sufficient to meet the three criteria for successful transmutation.
[0035] In utilizing fission reactors, it is possible that (1) each reactor is responsible
for precessing its own waste or (2) several "power" reactors send their waste to one
"transmutation" reactor. In as much as neutrons are in short supply, and the second
alternative is most probably not viable since it wastes the neutrons. The first possibility,
of course, allows the exchange of waste between different reactors; one, for example,
might handle all the cesium while another handles all the zirconium, with appropriate
design differences between the reactors. The important consideration is that neutrons
not be wasted.
[0036] Any given nuclide, which we label by its atomic weight A and its atomic number Z,
may undergo β decay to the nuclide (Z+1,A) or it may undergo neutron absorption to
the nuclide (Z,A+1). The rate constants for these processes are α
Z,
A=In 2/T
z,A(½) and σ
ZAφ respectively, where T
ZA(½) is the nuclides half life and
UZA is its neutron absorption cross section, while φ is the effective flux. Thus the
amounts N
Z,
A of the nuclides obey the set of differential equations

[0037] The first two terms determine the loss of the nuclide due to its decay and neutron
absorption while the last two terms determine its gain due to the decay or transmutation
of other species.
[0038] The solution of this equation has the form

0 where λ
Z',A',=α
Z',A'+σ
Z',A'φ and the C's are determined by the initial amounts and by substituting this solution
into the differential equation.
[0039] In detail, the C's are given by:
1) for Z,A not both equal to Z',A' CZ,A;Z',A'

(where C's which don't obey the conditions Z'≤Z, A'?A are zero)
2) For Z,A=Z',A'

These substitutions are carried out in order of increasing Z and increasing A. Thus
the lowest nuclide in a chain, which will occasionally be a bad isotope, has its amount
decreased following an exponential curve:

The effective half life for removal is

[0040] These effective half lives of the bad nuclides are compared to the natural half life
in Table 2. The effective flux is taken to be 10
16 neutrons/cm
2 sec.
[0041] Another case of importance is that of a nuclide which has a lower nuclide in the
chain with a smaller value of À. Let us take, for example, a nuclide (Z,A) accompanied
by a lighter isotope (Z, A-1) such that λ
Z,A-1 <λ
Z,A
[0042] Then the solution

will approach for large t

so that the ratio

This constant is evaluated by substitution into the differential equation, and found
to be

In the cases considered below, neutron absorption dominates λ
Z,A and σ
Z,A>>σ
Z,A―1, so this equilibrium ratio becomes the ratio of cross sections

This establishment of equilibrium also applies to longer chains. This effect is important
for Kr
85, Zr
93, Pd
107, and Sm
151, as is discussed below.
[0043] The transmutations of the 18 bad isotopes have been analyzed for periods of up to
about 100,000 hours (about 11-1/2 years) of irradiation in a flux of 10
16 neutrons/cm2 sec. From Table 2, one can see that this time period ranges from orders
of magnitude more than enough time to remove a nuclide to less than one half-life.
The improvements of removal rate over natural decay varies from a few percent to a
factor of over 1
08.
[0044] Two types of ideal cases may be considered, one with perfect isotope separation being
carried out frequently before and during the separation/irradiation cycles and one
with perfect chemical separation being carried out periodically. Clearly, the more
separation that can be accomplished, the more efficient is the transmutation. The
isotope separation provides an absolute optimum situation, and provides a measure
of the inefficiency of chemical separation. For the case of chemical separation, two
possibilities are treated for some waste components. In the first case, it is assumed
that there is control over the time between fission and chemical separation. This
situation is possible in liquid fission fuel reactors where the fuel and waste may,
for example, be continuously cycled without shut-down of the reactor, In the second,
the time between fission and separation is assumed long, as for example, in solid
fuel fission reactors. The extra control allows one to separate nuclides which would
otherwise decay into another element.
[0045] Table 3 shows the results of the computer analysis for chemical separation and for
isotope separation. The two cases of chemical separation are labeled a and b for separation
with and without timing respectively. The table is ordered by increasing half life
and divided into the first and second groups previously defined in relation to Table
1.
[0046] A very rough measure of the hazard of nuclear waste is the total amount of each of
the two groups of bad nuclide. (This measure neglects differences in biological activity,
in ease of storage (i.e., geochemical effects, in half life within a group, and in
the nature of the radiation emitted). The waste starts with about 15 atoms per hundred
fissions for the low group and 20 atoms of the high group.
[0047] With isotope separation, after the processing of each nuclide for a length of time
somewhat appropriate for the nuclide, but for less than '12 years, 4 atoms of the
low group and 2 atoms of the high group remain. If the processing (with isotope separation)
were to continue up to 12 years, half the Cs
137 (3.1 atoms), a small amount of Sr
90 (.14 atoms) and traces of Ru
106, Sb
125, and Kr
85 would remain in the lower group. Other sizable numbers in the table result from the
short time of processing imagined. The high group would contain a small amount of
Sn
126, an amount of Sell depending on its cross section but less than .055 atoms, and a
trace of Zr
93. All other bad nuclides would be removed. About 32 of the up to 127 neutrons would
be used.
[0048] With chemical separation only there are a number of significant differences. After
processing, there are in addition .0014 atoms of Sb
125, .06 atoms of Kr
85, and .013 atoms of Sm
151 remaining in the lower group, and a considerable amount (.5 to .86 atoms) of Zr
93 and .035 atoms of Pd
107 remaining in the upper group. The neutron usage has increased from 32 up to 47 or
74 neutrons, from 12 to 20 in the lower group and from 20 to 27 or 55 in the higher
group. The 8 extra neutrons in the lower group have been used about 4 for Pm
147, and about 1 each for Eu
155 , Kr
85, and Sm
151. In the upper group the extra neutrons have been used largely by Zr
93, even in case a, and by Cs
135 if case b holds. Pd
107 has also used up an extra neutron.
[0049] It is to be noticed that case a of Cs
135 (discussed in detail below) is even superior to isotope separation, due to the tiny
amount of processing time required.
[0050] With chemical separation only there is another important consideration. For a number
of the elements with bad isotopes, there are stable isotopes with a smaller cross
section than the bad isotope. As separation/irradiation goes on, the bad isotope is
depleted while the level of stable isotopes remains high. In five cases, listed in
Table 4, a significant amount of stable isotopes remain after a reasonable amount
of processing. The amount of bad isotope is listed and the number of neutrons that
would be wasted in completely transmuting all of the stable isotopes. This amount
is most significant for Zr
93, even though the more favorable case was chosen (i.e., case a). The ratio of extra
neutrons to bad isotope remaining is the largest in the case of Sm
151, in which it requires over a thousand neutrons to convert the good Samarium in order
to remove one atom of the bad.
[0051] If the large number of neutrons required are not available, then the remaining amounts
of these elements, containing the remaining bad isotope, have to be disposed of, and
the bad isotope remains a hazard. As the high neutron flux exposure goes on, different
lots of these elements at different degrees of depletion of the bad isotope may be
kept isolated from one another. This process may be accomplished by a spiral-type
channel arrangement shown in Figure 2 by the dotted lines in reference to component
A.
[0052] On the other hand, the remaining elements, most notably the large amount of Cs
137, can have the partially processed part of the element combined with the part of that
element freshly separated from the recent fission waste, as indicated by the solid
lines in Figure 2.
[0053] The greatest advantage of isotope separation would occur for Zr
93, which wastes a large number of neutrons and which has a very significant amount
of Zr
93 left with the stable isotopes of Zirconium after a reasonable amount of processing
has taken place. Isotope separation is significant for Cesium unless case a is utilized,
because of the large number of neutrons needed. Isotope separation is also useful
for Sr
90 and for the other elements on Table 4 if the amounts remaining are considered objectionable,
and depending on the required neutron economy could be useful for those elements which
require extra neutrons.
[0054] Each element was studied by computer runs utilizing the program WASTE shown in the
appendix. Perfect chemical separation processing has been assigned for each channel
with respect to all elements not originally in the channel.
[0055] The bad nuclides are discussed in order of increasing atomic number and increasing
atomic weight. It is noted that in developing a strategy for each individual bad nuclide,
there is no interdependency between the individual bad nuclides except in the case
of Pr
147 and Sm
151.
Se79
[0056] The decay/transmutation chain for Se
79 is shown in Figure 7. The thermal neutron absorption cross section for Se
79 is shown in Figure 7. The thermal neutron absorption cross section for Se
79 is not reported (probably owing to its low abundance) and may be assumed small. Thus
one may assume that no significant reduction of this isotope is possible. If however
the neutron absorption cross section is found to be significant, the separation/irradiation
process may be utilized with Br and Kr removed periodically to enhance neutron economy.
Kr85
[0057] Figure 8 shows the decay/transmutation chain for Kr
85. Only about 20% of the A=85 waste ends up as radio-active Kr
85. The remainder ends up as Rb
85, because the rapid β decay chain passes through an excited isomer of Kr
85 which β decays to Rb
85. As a result, there is considerably more of the stable isotopes K
r83, Kr
84, and Kr
86. Kr
83 has by far the largest neutron absorption cross section. Kr
84 and Kr
86 each have a cross section about 1/20 of Kr
85.
[0058] When the Kr is subject to the neutron flux Kr
83 is converted into Kr
84. At this point the ratio of Kr
84 to Kr
85 is about 5. This ratio cannot exceed 20 (the ratio of the cross sections of Kr
85 and Kr
84). Therefore, after about 75% of the Kr
85 has been transmuted, it becomes difficult to convert any more Kr
85. For every 20 atoms of Kr
84 converted to Kr
85, only 21 are converted to Kr
86. Meanwhile about 30 Kr
86's are transmuted. Thus it takes about 70 neutrons to gain 1 Kr
85.
[0059] The results of the actual circulation are shown in Figure 9 to 48,000 hours (somewhat
over 5 years) at which time 75% of the Kr
85 is gone. At about this time, the natural decay of Kr
85 actually removes if faster than continued exposure to neutrons. Only isotope separation
would improve matters. Figure 9 also shows the removal of Kr
85 as compared to its natural decay. Also shown are the average and marginal usage of
neutrons showing the effects to Kr
83 at very small times and Kr
84 at large times. Different scales are used for amounts and neutron usage.
[0060] Thus it is reasonable to reduce Kr
85 to a level 2 or 3 times lower than natural decay would give, and no further except
with isotope separation. In order to conserve neutrons it was assumed that all the
decay/transmutation products, i.e., Rb and Sr were completely separated from Kr after
each irradiation step was completed. The gas Kr may be readily separated from these
solid products.
Sr90
[0061] The decay/transmutation chain for Sr
90 is also shown in Figure 8. Sr
90 is transmuted according to the exponential law, since the only other isotope of Strontium
in the waste is stable Sr
88 which transmutes to Sr
89 with a very small cross section. Sr
89 is initially present in the waste (as well as being produced from Sr
88), but it decays with a half life of 1250 hours, short compared to the relevant time
scale for the transmutation of Sr
90.
[0062] The program WASTE was utilized with chemical processing every 3000 hours. No indication
of undesirable effects of the build-up of Yttrium and Zirconium were noted. Clearly
a much less frequent chemical processing for separation of Y and Zr from Sr would
suffice. Only 1.06 neutrons are required for each transmutation of the first 96% of
the Sr
90. The effective half life of Sr
90 in a flux of 10
16 neutrons per square cm per second is 2-1/4 years.
Zr93
[0063] More of the nuclear waste is Zirconium (15%) than any other single element. The presence
of many stable isotopes of Zirconium, in addition to the bad isotope Zr
93, make the removal of this isotope by transmutation difficult. The stable isotopes
in the waste are Zr
91, Zr
92, Zr
94, and Zr
96. Although Zr
93 has a larger neutron absorption cross section than any of the stable isotopes, it
is not large enough to make transmutation easy. Figure 10 shows a portion of the decay/transmutation
chain including Zr
93.
[0064] Two possibilities for the treatment of Zr
93 are considered. In the more favorable case, the initial chemical separation is carried
out in a time short compared to two months after the fission process. Such is the
case, for example, in a liquid fuel reactor with continuous processing for wastes.
In this case, the Yttrium is separated from the Zirconium. The y
91, with a half life of about two months, decays into stable Zr
91, which therefore is isolated from the Zr
93. The Zr
92, Zr
93, Zr
94, Zr
95 and Zr
96 are then allowed to stand, allowing the Zr
95 to decay (with a half life also of about two months).
[0065] The results presented for Zr
93 labelled as case a assume the ideal situation of no Zr
91 in the Zirconium to be irradiated by the neutrons. In this case, the Zr
93 which starts at the level of 6.36 atoms per hundred fissions, is irradiated for about
6 years resulting in about 92% net removal of the Zr
93, at a cost of 12 neutrons, or a little worse than 2 neutrons per atom removed. Further
irradiation accomplished little, because at this point the transmutation of Zr
93 is approaching equilibrium with the transmutation of Zr
92 into Z
r93, and there are significant amounts of Zr
94 and Zr
96, as well as Zr
92 competing for the transmutation neutrons. The removal of Zr
93 is shown in Figure 11.
[0066] In the less favorable case, labelled b in the results, the Zr
91 is included. After 50,000 hours (about 6 years) the Zr
91 has added an extra 6% of the original Zr
93 by the sequential transmutation chain, Zr
91→Zr
92→Zr
93 atom removed. In both cases, neutron economy is enhanced by periodically separating
Zr from Nb and Mo.
[0067] It is clear that isotope separation would help greatly for Zr
93. The exponential removal curve for pure Zr
93 is compared to the curves for chemical separation in Figure 11. After 50,000 hours
almost 99% of the Zr
93 is transmuted.
Tc99
[0068] Tc
99, whose decay/transmutation chain is shown in Figure 12, provides one of the most
favorable cases for transmutation. It has a reasonably large cross section for neutron
absorption and there is only the single isotope, Tc
99, in the waste. Therefore the removal follows an exponential curve (with an effective
half life of 42 days). After chemical processing, all the Tc can be combined, since
it is all Tc
99. With chemical processing every 300 hours, the neutron usage is 1.03 neutrons per
transmutation. The extra 3% comes from absorption in Ru
100 which builds up for the 300 hours.
Rul06
[0069] Ru
106, whose decay/transmutation chain is shown in Figure 13, has a half life of 1.01 years,
just above the cutoff of 1 year. It requires 33.4 years to decay to half the activity
of U
238. It has a very small neutron absorption cross section, 146 barns, requiring an exposure
to neutrons for 31.4 years to reduce the activity to the same level. The saving of
2 years is not deemed worth the trouble and expense of cycling and processing. Therefore
Ru
116 may be treated as a short-lived isotope, storing it for at least 33-1/2 years before
allowing it to enter the environment.
Pd107
[0070] The decay/transmutation chain for Pd
107 is shown in Figure 13. There is not much Pd
107 in the waste since it is on the high side of the lighter bump in the fission yield
curve. Pd
105, with an atomic weight smaller by only 2, has 6 times the fission yield. Ru
106 has an intermediate yield, and decays to Pd
106 (in two steps) with a half life of 1 year. Ruthenium is assumed to be separated from
the Palladium before a significant amount of it has been allowed to decay (if processing
occurs within half a year after fission, the results are not substantially modified).
[0071] The Pd
105 has a cross section 40% larger than Pd
107, which when multiplied by the factor of 6 in yield gives a conversion rate 8.4 times
that of Pd
107 Pd
107 transmuted to Pd
108, which, with a roughly comparable cross section, converts to Pd
109 which rapidly decays. Thus, in the early stages of transmutation it takes over 10
neutrons for each transmutation of a Pd
107 atom.
[0072] Later, the concentration of Pd
106 builds up, approaching an equilibrium value of about 40 times the amount of Pd
107, since its cross section is 40 times smaller. At equilibrium 40 atoms of Pd
106 convert to Pd
109, requiring 120 neutrons, for every net Pd
107 removed. The average neutron use per Pd removed approaches 4x6+2=26 for each 6 atomes
of Pd
105 and one atom of Pd
107 converted to Pd
109.
[0073] In an actual example calculation 78% of the Pd
107 was removed in 9000 hours, at a cost of about 12 neutrons for each atom of Pd
107 removed. Since the initial amount was small, this corresponds to, for example, a
level of Cs
135 after removal of 99-1/2% of the initial amount.
[0074] Neutron economy would dictate removal of Pd from Ag and Cd prior to recycling into
each new irradiation step.
Sn126 and Sb125
[0075] The decay/transmutation chain for Sn
126 and Sb
125 are shown in Figure 14. These isotopes occur at the minimum of the yield curve, and
are present in very small amounts. As a result, neutron economy is not of paramount
importance and the products I and Te need not generally be separated. They are treated
together because exposure of tin to neutrons produces Sb
125. The cross section for Sn
126 is very small, so transmutation is very slow. After about 12 years in a flux of 10
16 neutrons/cm
2 sec., one third of the original Sn
126 still remains. However, this corresponds to .3% of any one of the five most common
bad isotopes. Sb
125 is easily removed.
1129
[0076] 1
129 (Figure 15) is removed following an exponential curve, since 1
128 is highly unstable. The effective half life of 1
129 in a flux of 10
16 neutron/cm
2 sec., is about a month. The neutron use does not exceed 1.2 neutrons per 1
129 atom transmuted, as the 1
129 is accompanied by 1/5 as much I
127. In the early stages, the situation is even more favorable since the cross section
for I
127 is smaller. After 3000 hours, the average use was 1.1 neutrons per transmutation,
as only about half of the I
127 was removed.
[0077] The enrichment of I
127 relative of 1
129 probably is not significant enough, due to the small amount involved, to make it
worthwhile keeping the iodine already processed separate from the iodine freshly produced
from fission.
[0078] The results for a 3000 hour processing run are presented in Table 3, but it is to
be understood that exponential removal continues idenfinitely.
[0079] Iodine may readily be separated from the fission waste and is thus a very favorable
element for waste transmutation.
Cs134, Cs135 and Cs137
[0080] C
S135 and Cs
137 are somewhat separate problems, and are discussed separately. Cs
134 is not a direct fission product and therefore occurs in small amounts in the waste.
It has a large cross section and is easily removed in the treatment of Cs
135 and Cs
137. Figure 16 shows a portion of the decay/transmutation chain including Cesium.
[0081] The major problem with the treatment of Cs
135 is the large amount (6.75 atoms/100 fissions) of stable Cs
133 in the waste. Cs
133 has a considerably higher neutron absorption cross section than Cs
135, and must absorb 3 neutrons before again becoming a stable nuclide. The chain is
Cs
133→nCs
135→nCs
136→Ba
136.
[0082] It is noted, however, that the cesium in the waste comes from (3 decay of the inert
gas Xenon. Xe
133 has a half life of over 5 days, and Xe
135 has a half life of over 9 hours. Xe
135 has an extremely high neutron absorption cross section (3x10
6 barns) and stable Xe
136 has a very small cross section (.16 barns). Stable Xe
134 also has a rather small cross section (1.73 barns).
[0083] If the Xenon is separated in a time small compared to 5 days after fission, and especially
if it can be separated in a time small compared to 9 hours, Cesium may be efficiently
treated. A liquid fuel reactor would clearly be desirable in achieving these short
processing times, since the processing may be continuous.
[0084] As soon as Xenon is separated out, it is exposed to a high neutron flux for a short
time. At 10
16 neutrons/cm
2 sec., the optimum time is 11 minutes. In the example of Table 3, 20 minutes was used.
After this irradiation the Xenon is removed from the flux and stored for, say, two
months for the Xe
133 to cecay (this is about 30 half lives of Xe
133). After this, the Xenon left is not radioactive. There may be a further separation
of the Cesium produced in the first two hours after fission. Thus there are three,
possibly four, places in which Cesium is produced. The Cesium produced before separation
consists of some or most of the Cs
137 and a small amount of Cs
135 and Cs
133. The amounts depend on the time before separation. The Cesium produced during the
irradiation is some or most of the Cs
137, and a small amount of C
S135 and Cs
133. For the first two hours after fission, Cs
137 is produced, and it might be desirable to keep it with the Cesium produced in the
first two steps. After 2 hours, most of the Cs
133 is produced. This Cs
133 would not be subject to further irradiation. The amount of Cs
135 that is contained in with this Cs
133 is 4.4x10
―6 atoms per 100 fissions (22 parts per billion of the waste), coming from the equilibrium
between Xe
134 and Xe
135.
[0085] Figure 17 shows the amount of Cs
133 and C
S135 produced up to end of the time of irradiation as a function of the time of separation.
If, for example, separation is accomplished in 6 minutes, there will be 0.055 atoms
of Cs
135 per 100 fissions. In the first two hours after irradiation 0.08 atoms of Cs
133 per 100 fissions out of a total of 6.75 are produced.
[0086] The results labeled a in Table 3 correspond to no further treatment of the Cs
135, although, of course, it would be treated if the Cs
137 is treated. The results assume immediate separation of the Xenon.
[0087] In cases when the Xenon cannot be separated out rapidly (solid fuel reactors), much
of the Xe
135 is not transmitted to Xe
136 but decays to Cesium which must be treated. These results are shown in Figure 18,
and as case b in Table 3.
[0088] As can be seen, the time scale is long and the neutron usage is extremely large,
costing 20 neutrons (per 100 fissions) to convert the stable Cs
133 to Ba
136. Isotope separation would clearly be highly desirable. Figure 18 shows the following
sequence of events:
1. Cs134 relatively rapidly builds up from the transmutation of CS133, until after about 500 hours it is in equilibrium with CS133;
2. After about 100 hours enough CS134 has built up that the amount of CS135 actually increases:
3. After 2000 hours the CS133 (and CS134) is mostly depleted, and the Cs135 starts being removed following an exponential curve;
4. At about 2700 hours, the amount of Cs135 is back to where it started.
5. The amount of CS135 lags 2900 hours (4 months) behind where it would be had there been no Cs133 in the waste to be irradiated.
[0089] If the Cs
135 is handled by transmuting Xe135 the remainder of the Cs
135 can be removed following curves similar to case b, but about 100 times lower. The
extra neutron usage will also be about 100 times smaller. If the separation time in
case a is 2 to 100 hours, a situation intermediate between case a and case b results.
[0090] Cs
137 has the smallest neutron absorption cross section of any of the bad nuclides (with
the possible exception of Se
79). Irradiation in a flux of 10
16 neutrons/cm
2 sec. only brings the effective half life to 12 years, compared to 30 years for natural
decay. Aside from a small amount of C
S137 generated from

Cs
137 removal follows an exponential curve (most Cs
136 decays to Ba
136).
[0091] Since the Cesium becomes essentially pure Cs
137 as the processing continues, there is no need to segregate the old and new Cesium
if Cs
137 is to be treated.
[0092] The modest gain in removal rate in Cs
137 might make it not worthwhile to treat it beyond what is needed for C
S135 removal, unless a flux even higher than 10
16 neutrons/cm
2 sec., is utilized. Neutron economy is improved by separation of Cs from all other
products, i.e. Ba, La, Ce, etc.
Pml47
[0093] Pm
147 (figure 19) is the lightest isotope of Promethium in the waste, and the only one
with a large half life. It is transmuted following an exponential curve with an effective
half life of 4-1/3 days in a flux of 10
16 neutrons/cm
2 sec.
[0094] The difficulty in removing Pm
147 concerns neutron economy. In any flux which gives a transmutation rate larger than
the natural decay, most of the Pm
147 ends up as Sm
150, mostly by the chain Pm
147→Pm
148→Pm
149→Sm
149→Sm
150. Thus it costs 3 neutrons per Pm
147 atom transmuted.
[0095] There is also a small amount of the bad isotope Sm
151 created from the Sm
150, the amount depending on the frequency of chemical separation of the Samarium from
the Promethium (the Samarium is then not exposed to any more neutrons). In the example
of Table 3, chemical processing was assumed to occur every 2 hours. The amount of
Sm
151 produced is comparable to the amount of Sm
151 left after the irradiation of the Samarium waste. It is not feasible, without isotope
separation, to transmute this Sm
151.
[0096] Since Pm
147 with a half life of 2.6 years is rendered essentially harmless by storage of about
85 years, while the Sm
151 produced requires 1900 years to reduce it to the same low level of activity, it may
be better not to attempt to transmute the Pm
147. However, if higher level are considered acceptable, the decrease of 2.3 atoms of
Pm
147 to .005 atoms of Sm
151 is significant.
Sm151
[0097] The Sm
151 (figure 19) is accompanied by a larger amount of Sm
149. Sm
151 has a large neutron absorption cross section (1.4x10
4 barns) but Sm
149 has an even larger cross section by nearly a factor of five.
[0098] Therefore, a Samarium is exposed to the neutrons, the first thing to happen is the
conversion of Sm
149. This can be seen on figure 20 by the large neutron usage in the first two hours
of irradiation. The next thing to happen is the transmutation of most of the Sm
151. The cost in neutrons rises during this period from a minimum at around 3 hours into
the irradiation. This rise in neutron usage is due to the competition of neutron absorption
in Sm
152 and Sm
150, and the Sm
151 being produced from Sm
150. Finally, the Sm
151 comes into equilibrium with the Sm
150 at a level Sm
151/Sm
150=σ
150/σ151|≈1/40. At this point, about 98% of the initial amount of Sm
151 is removed. Equilibrium is nearly obtained after about 15 hours, as seen in figure
20. Further irradiation is extremely costly in neutron usage even though there is
such a small amount of Sm
151 remaining. Moreover, the Sm
151 resulting from the treatment of Promethium'is at roughly the same level. The treatment
of this other Samarium would actually cause an increase in the amount of Sm
151, since the Sm
151/Sm
150 ratio is well below 1/140. Thus, without isotope separation, (or an extremely copious
supply of neutrons) a reduction of Sm
151 to about .013 atom per 100 fissions is the best that can be achieved. Neutron economy
may be enhanced primarily by separation of Eu products.
Eu152,Eu154,Eu155
[0099] Europium (figure 19 & 21) is one of the heaviest elements in the waste, and occurs
in small amounts. Eu
152 and Eu
154 do not occur directly as fission products. What little Eu
152 does occur will be rapidly transmuted while the Eu
155 is being removed, as will the Eu
151 coming from the Sm
151 that decayed before it was transmuted.
[0100] In processing the Europium, it need not be separated from the Samarium while the
Samarium is being processed, as there will be small amounts of radioactive Europium
produced in the treatment of Sm
151, which should be included with the fission-produced Eu
155.
[0101] Transmutation of Eu
155 per se is very simple, as indicated by the "isotope separation" columns of table
3. However, the waste contains some Eu
153, which is converted to radioactive Eu
154. Therefore, in order to remove the Eu
155 it is necessary to convert the Eu
153 by the chain

There is 5 times as much Eu's3 as Eu
155, and it requires 5 neutrons for conversion to Gd
158 leading to

neutrons per atom of Eu
155 removed.
[0102] If the flux were 10-30 times smaller, the Eu
156 would have time to decay, terminating the chain at Gd, saving up to 40% of the neutrons.
[0103] Figure 22 shows the time development of the amounts of Eu
154 and Eu
155. For the first 15 hours or so, the initial Eu
155 is rapidly transmuted away, while the Eu
154 builds up almost as fast as the Eu
155 is removed. After that, the Eu
154 continues to build up while it, in turn, transmutes to Eu
155. After about 60 hours the Eu
154 and Eu
155 are in equilibrium with the remaining Eu
153 and then are removed at a rate determined by the Eu
153 cross section.
[0104] In the processing, all isotopes of Europium are removed. Therefore, no harm is caused
by combining the already-processed Europium with fresh Eu.
Actinides
[0105] The amounts and composition of the actinides depends on the parameters of the reactor
system such as the enrichment of the Uranium and the integrated flux to which it has
been exposed. We consider four components of the actinides produced from U
238 and U
235 by neutron absorption, which may coincide with the components in the transmutation
system. These components are:
1. U236
2. Np237
3. Fresh plutonium
4. Spent plutonium and trans-olutonium actinides.
[0106] Fifteen percent of the U
235 on absorbing a neutron does not fission but produces U236. This U236 would be only
moderately expensive in neutrons to transmute except that it is mixed in with all
the U
236 in the spent fuel. It is impossible from the point of view of neutron economy to
put the U
238 in the high flux region. If the U
236 produced from all U
235 by neutron irradiation is mixed in with the amount of U
238 accompanying that much U
231 in natural uranium, the radioactivity is double that of U
238. Therefore, U
236 does not pose a serious hazard if combined with the U
238.
[0107] Some of the U
236 will absorb a neutron, giving the transmutation chain

If this Np
237 is exposed to as high a flux as possible, it first transmutes to Np
238 which then fissions if it absorbs a neutron or decays to P
U238. The fissioning is preferable on the grounds of neutron economy.
[0108] U
238, if it absorbs a neutron, becomes PU239 This plutonium (as well as the Pu
238 discussed above) is, on separation, used as a fissionable substance. In thermal fission,
3/4 is fissioned and 1/4 becomes Pu
240. The Pu
240 absorbs a neutron becoming Pu
241, Three-fourths of Pu
241' fissions and 1/4 becomes Pu
242.
[0109] Pu
242 and heavier isotopes are not fissionable with high probability and form part of the
heavy actinide waste. By sequential neutron absorption, these eventually lead to fission.
Fissionable isotopes include Cm
245, Cm
247, Bk
250, Cf
249, Vg
251, and Es
254. Although the number of neutrons required per atom of Pu
242 is large, the very small quantities involved makes the neutron usage not have a serious
effect on the total neutron economy. This is consistent with the conclusion of earlier
studies that actinides can be reduced by transmutation.
[0110] The neutron economy is approximately a net loss of one neutron for each atom of Np
237 (including the absorption on U
236) and approximately a balance (a small net loss) for each atom of U
238 transmuted. In addition, the fission wastes from Plutonium and other actinides increase
the amount of fission wastes that must be processed by the excess neutrons from the
fission of U
235.