enriched bomb uranium isotope ratios from oak ridge oralloy
TRANSCRIPT
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8/10/2019 Enriched bomb uranium isotope ratios from Oak Ridge Oralloy
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DISCLAIMER
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DISCLAIMER
Portions of this document may be illegible inelectronic image products. Images are producedfrom the best available original document.
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2
TABLE
OF
CONTENTS
INTRODUCTION
...................
5
EXPERIMENTALLY
DETERMINED
DOSE KATE
3
CALCULATED
DOSE
RATE
4
ABSORBED
DOSE
IN
PLASTICS
6
GAI4A
DOSE RATE
..................
7
CONCLUSIONS
....................
9
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IrRODUCTION
Oralloy
(enriched
uranium)
is
a
potential
source
of
radiation
damage
because
of
its
alpha
and
gamma
radioactivity.
The
radiation
effects
will
be
relatively
small
because
of
the
low
specific
activity.
However,
the
long
design
lifetimes
(many
years)
of
some
materials
could
lead
to
appreciable
damage.
To
estimate
this damage,
the
dose rate
from
the
surface
of
oralloy
must
be
determined.
This
has
been
done experimentally
and
theoretically.
The isotopic
composition
of oralloy
used
at
Rocky Flats,
as
determined by
mass spectrometry,
is
the
ollowing.
U-24
1.01
U-23S
93.13
U-236
0.32t
U-238
S.SSt
EXPERIMENTALLY
DETERMINED
DOSE
RATE
Radioactive counting
techniques
were
used
to
measure
the
dose
rate
from orallov.
A
counting
source
was fabricated
by machining
an
oralloy
disc
(diameter
1/4
inch
and thickness
1/16 inch)
which
fit
exactly
into
the
machined
depression
of
an
almainu
disc
(di--eter-
1
inch
and thickness
1/8 inch).
The
top
of
the
oralloy was flush with the aluminum surface
so
that
only
the
top
surface
Carea
0.316
cm
z
would
be
counted.
Since
the
range
of the
alpha particles
in
oralloy
is about
6
microns,
this
is an
infinite
source.
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4
Results
obtained
from
a
machined
or
polished
surface
were
essentially
the
same.
The
total
alpha disintegration
rate,
measured
with
a
proportional
counter,
was
151,680
+/-225
counts
per
minute.
The average alpha
energy
was
determined
using
a
silicon
surface
barrier
detector
coupled
to
a
pulse
height
analyzer.
Integration
under
the
resulting
spectrum
gave
an
average energy
of
2.69
MeV,
which
is
56t
of the
maximum
energy.
s
Multiplying
the
count rate
by
the
average
energy
gives
an
alpha
dose rate of 2.15 x 101
eV
per
second
per
cm
z
CALCULATED
DOSE
RATE
The
following
properties
of
the
uranium
isotopes
were
used.
half life
alpha energy
ramie
in
alr
z
U-34
2.47xi0
years
4.76
MeV
4.00
ag/cm=
U-235
7.1
xlO
e
years
4.40
MeV
3.50
mg/cm
U-238
4.51x10
years
4.18 14eV
3.25
mg/cm
U-236 2.34x107
years
4.49
eV
The dose
contributions
from
uranium-2 8
and
-236
were
considered
and
found
to
be
negligible.
The dose rate wa
calculated
by
multiplying
the
alpha particle
flux
by
the
average
energy
of
the
emergent particles. The
particle
flux
(n)
calculated
according
to:
*
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5
n
sp
k
x
R/4
where
sp
A
specific
activity
(disintegrati
per
second
per
R
range
The
rahge
was calculated
according
to:
R
z/0.01
Z/z
R
a
[0.90/
0.0275
Z/
(0.06-
0.0086
Z) log
where
R
z
range,
mg/cm
2
R
a
range
in
air
Z
atomic number
of
element
z tomic
number
of
particle
E
particle
energy
in
MeV
M mass
number of
particle
The flux
and
range
(dividing
R
z
by
18.81,
the
density
of
oralloy,
gives
the
range in cm)
of
alpha
particles
from
uranium-254 and
-235
are:
n
R
z
R
U-254 7.48x10
/sec/cm
2
15.I
mg/cm
2
6.96x10
.4
cm
U-255
2.28x102
/sec/cm
2
11.4
mg/cm
2
6.08x10
.4
ca
The
average
energy
was
taken to
be
2/3
of the
maximum
energy.
This
value was derived
using
an
approximation
of
the
Bethe-Block
equation.
(s
1/2
E
11
where
E
energy
of
the
particle
E
o
initial
particle
energy
r distance
particle
travels
R
particle
range
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6
The
average
energy
is defined
as
f
Edr
divided
by
f
dr.
o
The
dose
rates
fromU-Z34and
U-Z3
in
oralloy were
thereby
determined
to
be:
U-254
2.57x1012
eV/sec/cm
2
U-255
6.68x108
eV/sec/cm
The
dose rate from
oralloy
is the
weighted
average
rom these
two
isotopes.
2.37x10
(1.01t)
/
6.68x10
(95.15)
2.45xI0s
V/sec/cm
This
value
is
a little
larger
than
the
measured
dose
(2.15
x
10
I
eV/sec/cm
)
because
of
the
difference
in the
average
alpha
energies.
The measured
energy
was
6
of
the
maxim,,=
energy
and
the theoretical
energy
(using
an
approximate
calculation)
was
66.6t
of
the
maximum
energy.
ABSORBED DOSE
IN
PLASTICS
To
assess
the
radiation
damage upon
prolonged exposure
from
oralloy,
a calculation
has been
made
using
polyethylene as
a
representative
plastic.
The
first
step
was to calculate
the
range
of
the
alpha
particles
in
polyethylene,(CH2)x.
The
assumption was
made
that
the
plastic
is in
contact
with
the
oralloy
so
that
the
average
particle
energy
is
still
2.69
MeV.
Ranges
in
hydrogen
and
carbon
were
calculated
using equations
similar
to
the one
used
previously in
this
report,
r
The
ranges
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7
are
0.51 mg/ca
and
1.75
ag/ca
2
for
hydrogen
and
carbon,
The
range
in
polyethylene
was calculated
espectively.
according
to:
-,1
0. S7
0.143
gC,)
x
/
*weight
fraction of element
in
CCH2)
x
The
range
was 1.30
ag/ca
2
or ..:x10
.3
ca.
The
absorbed dose
can
thereby
be
calculated
I
radl0
eY/gl( :3 lSxlO
secl
.15x101
eV/sec/ca
6 Z
4
ose
1. :30
x
10-
3
g/ca
x
-e
8.:3
x
10
s
fads/year
This is
the
approximate
dose at
which
polyethylene
and
uny
other
plastics
start
to
decompose.
The
damaging
dose
is
greatly variable
and
depends
on
the
plastic
as
well
as
the
property
of
interest.
Nevertheless,
it
appears
that
many
organic
materials w111
undergo
significant
decomposition
in
a
few
years
of
contact with
oralloy.
However, these
effects will
only occur to a
depth
of
approxi-
aately
1-2x10
.3
ca.
GA}@4A
DOSE
RATE
Instrumentation
was
not available
to
measure
the
gam
dose
rate
from
oralloy,
but
a
rough
approximation
was
calculated for
coapari-
son with
the
alpha
dose
rate.
Decay schemes
for
uranium-2:34
and
-2:35
show the
following:
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U-234
specific
activity
4.30xI0
dis/sec/cm
s
72
of
decays
to
ground
28
of
decays
0.053
MeV gamma ray
U-235
specific activity
i. 0x10
dis/sec/cm
2
75.8
o
decays
a
spectrum
of
gamma
rays
with
an
average energy
of 0.18 MeV
The
absorption
coeficients
(
and
half
thickness for these
gamma
rays in
oralloy
are:
ulP
Ccm21e)
Cc
)
0.053
MeV
9.86
185
0.18 MeV
1.79
33.6
Half thickness
(ca)
3.74
x
I0
2.06
x
10
.2
For the
dose
rate
approximation,
assume
that
one-half
(g
ometry
factor)
of 811
the
gamma
energy
is
released
from
a
half thickness
o
oralloy.
U-234 4.30x10
dis
13.74x10
ec
ca
Dose 1.19
x
I0
eV/sec/cm
2
(0.28)(0.50)(5.3x10
s
/
dis
U-235
1.SO
x
10
[2.06
x
10
sec
Dose
2.19xl0
s
eV/sec/cn
2
c= w/
(0.788) (0.
so)
1.8xlO
s
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The total dose
rate from
oralloy
is
the
weighted
average.
11
t
U-234
1.01t
(1.19
x
10
1.20
x
10
37.0t of
energy
9
9
U-235 95.13t (2.19
x
10
2.04
x
10
63.0t
of
energy
Total dose
rate 5.24
x
10
eY/sec/cm
a
Not
only
is
the
gamma
dose
rate
almost an order
of
magnitude
less
than
the
alpha
dose
rate,
but
the
gamma
penetration
(half
thickness)
in
plastics
is
about
a
thousand
times
that
of
alpha
penetration,
so
that
the
absorbed
dose
from
gamma
radiation is
negligible
compared to
that
from
alpha
radiation.
CONCLUSIONS
The
alpha
dose
rate
from
the
surface
of
oralloy
was
determined
10
10
to
be 2.15
x 10
eV/sec/cm
2
(or
2.45
x 10
eV/sec/cm
2
clculated
value). Almost all
of
the
dose
emanates
from
uranlua-234, whose
isotopic
concentration
is
1.01t. The
absorbed
dose
in
poly-
ethylene
was
calculated
to
be
8.5
x
10
fads/year
indicating
that
most
plastics
would
radiolytically
decompose
appreciably
in
a
few
years.
However,
the
decomposition
would
only
occur
to
a
depth
of
1-2 x
10
s
cm,
the
alpha
partlcle
range.
The
gma
dose
rate
was
also
estimated
and
found to
be
negligible
compared
to
the
alpha dose
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10
REFERENCES
I.
The
counting
was done
by
Richard Murri
of
the
Rocky
Flats
Environmental
Science
Group
G.
Friedlander,
J.
W.
Kennedy,
and
J.
M.
Miller,
Nuclear
and
Radiochemistry,
John
Wiley
and
Sons,
New
York,
1964,
page
96.
5. G.
D.
Finney
and R.
D.
Evans,
Physical Review, 48,
505
(1935).
G.
Friedlander,
J. W.
Kennedy,
and
J.
M.
Miller,
Nuclear
and
Radiochemistry,
John
Wiley
and
Sons,
New
York, 1964,
page
95.
S.
M.
McD.
Baker,
R.
Hughes,
J. A.
Spooner,
ACO/UK-2325,
October 1964.
J.
H.
Hubbell,
Photon Cross
Sections,
Attenuation
Coefficients,
and
Energy
Absorption
Coefficients
from
10 keV to 100
GeV,
NSRDS-NBS
29, August
1969.