naval qamdefense laboratory san francisco 24, …
TRANSCRIPT
SUSNRDL-TR-631
Cr-ý 13 March 1963
( /[ FRACTIONATION II.ON DEFINING THE SURFACE DENSITY OF CONTAMINATION
-- ... E. C. Freiling
Qz"? S. C. Rainey
SU.S. NAVAL RADIOLOGICALqamDEFENSE LABORATORYS~ A N F RE NCI S C 0 2 4 C A L I O R N Y
SAN FRANCISCO 24, CAL FORNPIA
12ND. P7463
PHYSICAL CHEMISTRY BRANCHE. C. Freiling, Head
CHEMICAL TECHNOLOGY DIVISIONL. H. Gevantman, Head
ADMINISTRATIVE wIOFOMATION
The work reported was requested specifically bythe Fallout Studies Branch, Division of Biology andMedicine, U. S. Atomic Energy Commission. Itis part of a project sponsored under AEC ContractNumber AT(49-7)-1963. The project is describedin USNRDL Technical Pro&[am Summary for Fiscal iYears 1963, 1964, and 1965, 1 November 1962.It is designated as Problem 7, Program A-1.
................................................................
E9e&. P. Cooper E.g. Roth, CAPT USNScientific Director Commandinwg Officer and Direc'tor
ABSTRACT
This report precents a technical basis for defining surface
density of fallout cnUtamination when the contaminating debris is
fractionated. Specifically, it recommends that the exposure dose
rate from fractionnted debris be expressed as a contamination surface
density multiplied by the sum of three terms. The first term is the
exposure dose rate contribution of refractorily behaving fission-
product nuclides per unit contamination surface density. The second
term is a similar quantity for volatilely behaving fission-product
nuclides. The third term expresses the contribution of the induced
activities.
i
PREFACE
This series of reports presents and discusses the effects of
radionuclide fractionation in nuclear-bomb debris. The first part
(Reference 1) defined fractionation as "any alteration of radionuclide
composition occurring between the time of detonation and the time of
radiochemical analysis which causes the debris sample to be non-
representative of the detonation products taken as a whole." It showed
how the radionuclide compositions of fractionated samples could be
correlated empirically by logarithmic relations. The present part
uses these relations as the basis of a technical discussion of contami-
nation density as applied to fractionated nuclear debris. The third
part will present a theoretical foundation for the observed logarithmic
correlationz of Part I. It will use this as a simplified means of
estimating fractionation as a function of particle size and the par-
tition of product radionuclides among local, intermediate, and world-
wide fallout. The fourth part will extend the calculations to show
how fractionation-correlation parameters can be used to estimate the
exposure dose rate from nuclear debris with various degrees of frac-
tionation. It will serve to illustrate the proposals made in the
present part.
DN1UWCTION
Those engaged in the study of fallout contamination from nuclear
debris frequently express the surface density of contamination in
terms of "kiloton-equivalents of debris per square mile." This term
is particularly useful in discussing exposure dose rate, and when
applied to unfractionated debris (1) it is easily defined with
precision (2). However, the presence of unfractionated nuclear debris
is the exception rather than the rule, and the concept of "kiloton-
equivalent of debris" becomes undefined when the debris is fractionated.
That this is so becomes evident when one considers that "kiloton-
equivalent of debris" is actually a variation of the concept, "frac-
tion of the device." As explained in Reference 1, "fraction of the
device" becomes undefined in the presence of fractionation. It is best
replaced with the fraction of some component of the debris, either of
some residual, pre-shot material or of some product of the nuclear
processes which occurred. Because of fractionation, the fraction of
one component per unit area at a given location will not necessarily
equal the fraction of any other. The difficulty is overcome by choos-
ing one component as a reference and relating the abundance of the
other components to it.
2
The purpose of this report is to present the technical back-
ground for modifying the "kiloton-equivalent of debris" concept for
fractionated fallout and to define the modified concept in simple terms.
The material will be presented from the viewpoint of exposure dose
rate. Since the "kiloton-equivalent" is, by definition, 1012 calories
or a "teraca.lorie", we will use.. the latter term throughout the re-
mainder of this report.
TECThNICAL DISCUSSION
Besic Considerations
The radiological hazard from a deposit of fallout is generally.,
expressed as exposure dose rate (D) and arises from the photons pro-
duced by radioactive decay and by various interactions of the radia-
tion with matter. The radionuclides responsible are predoninantly
beta-Gers a emitters. The beta particles can interact with nuclei
to form photons known as Bremestrablen, but these contribute only a
few percent to the total dose rate and will not be considered furthcr.
The gmim.-photons nay be internally converted to characteristic X r'.y,
or they rmy interact with environmental material by elastic scattering,
photoelectric effect, Compton scattering, or pair production. ,legarc-
less of cubceciuent alterations, the primary emissions of radiological
significance are the gomme photons and characteristic X rays, which
are energetically discrete and virtually independent of the environment.
3
Their relation to activity, spectra, and exposure dose rate can be
described as follows. The terminology, symbols and units used are
summarized at the end of the discussion.
Consider a homogeneous source of Nj atoms of type j disintegrating
according to the radioactive decay law
A - -N N W
where A is the disintegration rate (activity) and X is the total
radioactive decay constant. The photons emitted will have discrete
energies (Ei). An average of Nij photons with energy Ei will be
produced per disintegration. The (total) photon emission rate for
these atoms is A r N and the rate of energy emission in the forma i ijof photons is A Z Nij Ei. The distribution as a function of energy
of the fraction o2 the total number of photons emitted which fall into
each energy group is called the photon spectrum.
Now consider the source material as a contaminant distributed
over a soil-air interface. The quantity of radioactive material of
type j per unit area at any location on the interface is the surface
density of contamination (a ) at that location. The exposure dose
rate sensed by a detector at any point in this system will be due to
the photon spectrum at that point and this will differ from the primary
spectrum in several ways: it will no longer be discrete, it will be
degraded in energy, and will depend upon both the environment and the
source-detector geometry. Each photon in this secondary spectr=u will
produce a contribution to the dose which will depend upon its energy.
4i
The calculation of dose rate from the nature of the source and
from the source-detector arrangmnt for even one type of nulide is
very complicated and requires the Introduction of several reasonable
simplifications.
Calculation of Exposure Dose Pte From a Homogeneous. Distributed
Source Composed of a Single Nuclide.
A reasonably accurate simplifying device for calculating exposure
doee rate from a distributed source is found in the dose-rate con-
version factor. Assume that the homogeneous contaxmiat is distributed
on the interface so that the contamination density varies gradul~y
with location and., as far as any given detector position Is concerned.,
may be considered everywhere equal to the contamination density a
at the closest point of the interface. Primary photons of energy Z1
now produce a contribution to the dose rate Di which is proport ioal
to the photon emission rate and therefore to a X. The proportionality
factor (di) is a function of the enerS7 and will be called the photon
dome-rate conversion factor for the given arrangement.
Dim- di N1 3 ajX (2)
A nuclide dose-rate conversion factor (d t) is defined similar3y in
term of the total dose rate (D3 ) from all nuclides of type J.
Whereas Di in proportional to the photon emission rate per unit area,
D will be proportional to the disintegation rate per unit area:
5
D 0 aX E di a di ()
Therefore
dj a E di Nij (14)
To illustrate dose-rate calculations for fallout, it is customary to
specify the following standard set of conditions: the detector in
located 3 feet in air above an infinite, smooth, uniformly contami-
nated plane of unspecified soil material which is impenetrable to the
radioactive fallout; the time is 1 hour after detonation with refer-
ence to radioactive decay, but is an infinite time after detonation
with reference to the amount of material fallen out. An asterisk will
be used to indicate dose rates and dose-rate conversion factors for
standard conditions. Thus
* * c =a *D d a d= d N (5)a a a a a i i ij
Extension to Homogeneous, Representative Sources Composed of a Single
Mass Chain.
As mentioned earlier, the radiologically important radionuclides
produced in nuclear detonations are predominantly beta-gamma emitters,
although some neutron emission occurs at early times. Since the
nuclidic mass does not change in beta-gamma, emission, fission products
and induced activities group into isobaric chains , each with a con-
stant total nvmber of atoms. Although some 90 mass chains result from
fission, only a few of these contribute significantly to the dose rate
at any given time. They can be treated as follows.
*Nuclides with equal mass numbers but different nuclear charge are6alled isobars.
6
Let Yk be the average number of fission-product or induced atoms
of mass k produced per fission. Then the fraction of atoms with mass
k which exist as type j at any given time is a perfectly definite
quantity which we will call Gjk(t). The number of atoms of type j
per fission existing at any time is YkGjk(t). If a total number of
fissions F has occurred, the total number of J-type atoms present at
time t is FYkGjk(t). Let us represent the number of atoms of mass
chain k per unit area by akYk. The number of atoms of type j per
unit area is now a, = ak YkGjk(t). Here ak is the number of fissions
which produced the quantity of chain k present per unit area at the
location considered. Now the total contribution of the kth chain to
the dose rate (Dk is obviously the sum of the contributions of the
individual members.
Dk E D
jJ
makYk i dJjkdj (t) X (6)
The quantity d Gjk(t) X is the dose rate contribution from isobar
j per atom of chain k at time t. Its sum over j is the dose rate
contribution of the k chain per atom of mass k per unit area. It will
be convenient to designate this sum 15k(t) and write
D -k = k (t) (7)
7
The total contribution from all chains in
k kM T ak Bk "k (t) (8)
k kk
If the debris is representative, all akIs are equal and we can write
D E Yk Dk (t). (9)kh
Fractionated Debris
The above formulas can reflect fractionation in two different
vays. The first is by requiring a different value of a for each mass
chain. The second is by requiring a factor for each nuclide to correct
Yk" .The second way reflects the fractionation of isobars from one
another. It is predominant in the early stages, when debris is formed,
and is responsible for much of the fractionation observed. For example,
the fractionation of Xe O and CsllfO from B 140 produces the volatile
behavior observed for the uass-140 chain. However, subsequent growth
and decay convert this intrachain fractionation into intercbain frac-
tionation, so that by one hour after detonation we are Justified in
neglecting intrachain fractionation and concentrating on the variation
of ck.
The variations in ak are most easily handled by taking one mass
chain as a reference and relating ak for all other mass chains to
that for the reference chain. Now in any nuclear event, a large nuber
of mass chains do not fractionate from the mass-95 chain. Abundant
8
date exist for the mss-95 cbsin composition in fallout from previous
nuclear tests. It is one of the most refractorily behaving mass chains
and one least subject to secondary fractionation. It has a high and
relatively constant fission yield which can be determined in two in-
dependent ways by analyzing for either Zr5 or Nb95. The half lives
of these nuclides are such that they can be determined long after
fission. For these reasons the mass-95 chain is chosen as the primary
reference chain. Then 095 becomes the measure of contamination density.
It is the number of mss-95 chain equivalent fissions (i.e., the number
of fissions required to produce the number of nsss-95 atoms found) per
unit area at a given location.
The fractionation of other chains can be expressed by ratios of
the type
rk, 95 m Ok/095 (10)
The total dose can now be written
D = a95 1 Yk rk, 9 5 Dk (t) (11)
Empirical correlations of fractionated debris (1) and theoretical
considerations (3) both lead to relations among the ratios of the type
10910 r k, k + b) 1 (12)
Here r ,95* is the fractionation ratio and is a measure of the degree
*The fractionatio ratio r89 ,9 ~ is the ratio of the number of fissionsrequired to produce the amounz of the mass-89 chain found in a sampleto the number of fissions which votld be required to produce the amountof the nmss-95 chain found In the same sample.
9
of fractionation at the location of interest. fo qutantities ak and
bk are soplrioal2y determnined by the Intercept and slope of a log-log
p rk, . 1/8,9 The qu.antity ak can btheotiQc
determined from bk if the paticle-else distribution is known (4). FM
dose-rate calcu~ationsi its departure from sero can be neglected vhen
the particle site distribution is unknown, and ve can vrite the above
in a more convenient, approzlmate form
'k, 95 ' (89,95) k(33)
For Important contributors to the radiological field, the quantity bk
Is almost alvays between 0 and 1 in value and its imgnitude can be
estimted by an empirical r.le (1). ftmtion (ii) can then be written
1 - b
Du =a95 E Yk (r89.,95) Dk (t) (Ak)
The various mass camins can be d.ivided into three groups. The
first group consists of those sass chains which do not fractionate
significant27 from the sos-95 chain. Examples are the sass 99, 103,
106, and 1i4i through 161 fission-product chains and the activities
induced in the weapon components. For these refractori3y behlving
chains, bkp 1 and their contribution to the dose rate is
DR "95 EYk k (t). (15)
quasi-refractorychains
10
The other fission-product sass chains will exhibit values of bk
which depart appreciably from unity. In local fallout, they vwil be
depleted relative to the mass-95 chain. The contribution of these
volatilely behaving chains can be written
D~ a-95 E (r8 9 ,9 ) k k JDk (t). (16)quasi-volatile
chains
Finally., since they do not have gaseous precursors, and have shown
no evidence of volatile behavior, the induced activities can be assemed
not to fractionate from the refractorily behaving activities (i.e., Ok
can be assumed equal to 095). The induced activity chains can also be
considered to have yields Yk' the yield of the kth chain being simly
the ratio of the number of atoms of that chain produced by the detona-
tion to the total number of fissions in the detonation. (The value,
however, is not easily established with certainty.) Thus we can write
their contribution as
P . 095 E Yk b k (t) (17I)induced
chains
The total exposure dose rate can now be written
D (t) a 9 5[1E Yk k(t) + E Yk rN9,95 ) k Ik(t) + EYk Dk (t)] 1)
quasi-refractory quasi-volatile inducedchains chains chains
l1
This equation says that the exposure dose rate from fractionated
debris can be expressed as a contamination surface density multiplied
by the su of three terms. The first is the exposure dose rate contri-
bution of the refractorily behaving fission-product elements per unit
contamination surface density. The second term is a similar quantity
for the volatilely behaving fission product radionuclides. The third
term expresses the contribution of the induced activities. For
standard conditions the expression is
D*' k +Yk (r89 ,95) k Z k~] (v
Units
This section lists the primary quantities of interest in the
preceding discussion, together with their designations, and a recom-
mended system of units for consistent use of the equations. Care has
been taken to avoid the use of cumbersome units such as "curies" and
"gamma curies".
Symbol Physical Quantity Unite
D (Di, Djp Dk, DR, exposure dose rate roentgens per
DV DI) second
A disintegration rate disintegrations
per second
N number of atoms atoms
* Although the term "chain" is usedp most induced activities decay to
stable nuclides in one step.
12
Sphotcs per Oislategm- photons per dis-tion Inteiation
decay oonstant per second
I I d.4 VeT
a (0, Ok) cotmnto $1rac j sois e =density ok issions per as2
a 1 just as the eombined quantity N. (atow sHec")
in cimnly given the vnit disintepations
per secondL' so the combined qLantity OX
(ato •-2 see-l) bas the Vnit wdimntegpa-
tions se"1 =72.w
d (dis djo Dk (t)) dose rate conversion dk roentgens per
factors (photon/c 2 )
d roentgens per
S(disintegration/cm)
bk(t) (roentgenh/sec),per(atcsi/cm.)
Y total chain yield atoms per flission
G chain fraction dimansionless
r fractionation factor dimensionless
SIMPLE=IF I' P1 N3 fCN
To most effectively dispel isimderstandings about fractionation
and its effoct on dose rates reqires that a tecniLcal exposition of
the OcP1zldties Involved be s nted i diasenination of the infor-
mation.
13
The following presentation attempts to achieve maxiim simplicity
for the general user of such informtion with the minimum loss of rigor.
In this presentation we first recommend use of the following
alternative system of units for large scale considerations. They are
obtained from those in the previous paragraph by simply substituting
teracalorie for fission and square mile for square centimeter. The
only quantities affected, together with their alternate units, are
the following
o teracalorie per square mile
d (roentgens/photon) per ýeracalorie/square mile)
Y. atoms per teracalorie
If these substitutions are made in the treatment, Equation 19 would
still apply, as in the detailed discussion. Again, the units of curies
and of gama curies have been successfully avoided.
With these minor modifications, the considerations of the fore-
going section can be simuarized for a scientific (but non-specialized)
audience as follows:
If, at any time after detonation, all the debris from
a nuclear burst of W teracalories fission yield were uniformly
spread over W square miles, the resulting dose rate three feet
above the plane at one hour can be shown to be of the order of a
roentgen per second. In this situation each radionuclide is said
to be present at the !. contamination surface density of "one
teracalorie equivalent of that nuclide per square mile"
for the burst in question, even though the quantities of
these radionuclides vould differ from nuclide to nuclide
by orders of magnitude when expressed in term of atom
or disintegrations per second. In a real deposit of
debris, say from a land-surface burst, the debris vill be
fractionated, and the individual radionuclides wll be
present at diffarnt "teracalorie equivalents" per square
mile. However, even here a large fraction of the fission-
product nuclides will be present at any location in nearly
the saw nusber a of teracalories per square mile. One of
these nuclides is Zr 9 5 , which we will use for a reference
nuclide, and so we will designate this value of a by '95.
In addition, the activities induced in the weapon com-
ponents and the soil can be considered to be present at
the same number a 95 of teracalorie equivalents per square
mile. Other nuclides will have contamination surface
densities that depart significantly frm a95. For the most
part, these will be fission products, and in local fallout
their contamination surface densities vill be less than 095.
One of tbese, Oro, will be taken as a reference of such
volatile behavior. Its contamination Mrface density at
anY point, `S9P can then be used to define the degme of
fractionation 0 at any point.
15
O slo (UB/119,) (20)It has been found that nuclides of sass chain k have con-
tamInation levels related to a, by xessions such as
10 O.5 10910 095 + Ck 0 (21)
where Ck is a constant depending on k. The values of aW
089 and 0 will all vary from point to point in the fallout
pattern, but at any point their values vill rinin essen-
tially constant vith time if the pattern is not disturbed.
Once the values of Ck are established for each mass chain
of interest7 the resulting exposure dose rate can be ex-
pressed, even for fractionated fallout contaminant, by
saJng the contributions to the exposure dose rate from
all the contributors.
Finally, the adoption of this definition of contamination level
should do much to clarify the effects of fractionation on dose rates
from fallout, to obviate false conclusions arising from a misunder-
standing of fractionation effects, and to provide a sound foundation
for the treatment of associated problems.
1. E. C. Freiling. Fractionation I. High Yield Surface Burst
Correlations. U. S. Nval Radiological Defense laboratory
Technical Report, U=MIHD-TR-385, 29 October 1959. Science,
M~: 1991 (1961).
2. "The Effects of Nuclear Weapons, "Revised edition, U. S. Atomic
Energy Ccission, Washington, D. C., 1962.
3. Theoretical Basi for Logritbmic Correlations of Fractionated
Radionuclide Compositions. E. C. Freiling. Science, M:1058 (1963).
4. E. C. Freiling. Fractionation III. Esitimaton of the Degree of
Fractiontion and Radionuclide Partition for Fractionated Nuclear
Debris. U. S. Naval Radiological Defense laboratory Technical
Report, to be published.
17
INITIAL D -flTI- I X
3 Chiefs Bureau of Mips (Code 335)1 Chief, Bureau of Ships (Code 320)1 Chief, Bureau of Medicine and Surgery1 Chief, Bureau of Naval meapems (NRNL-ll)2 Chief, Seau of Tards and Docks (Code 74)1 Chief, Bureau of lards and Docks (Code C-4,00)1 Chief of Naval Operations (0p-O7T)1 Chief of Naval Research (Code 104)1 Ccmnder, lw York Naval ShiWard (Material Lab.)3 Director, Naval Research Laboratory (Code 2021)2 Director, Naval Research Laboratory (Code 6370)1 Office of Naval Research (Code 422)6 Office of Naval Researeh, MO) New rork1 CO U.S. Naval Civil Engineering Laboratory1 Cosmader, Naval Air Material Center, Philadelphia1 Naval Medical Research Institute1 U.S. Naval Postgraduate School, Monterey1 Office of Patent Coimeel, San Diego1 U.S. Naval Hospital, San Diego
1 Chief of Research and Development (Atomic Div.)1 Chief of Research and Development (Life Science Div.)1 Deputy Chief of Staff for Military Operations (CDR)1 Chief of Engineers (RK(C-D)1 Chief of Engineers (IN1 Chief of egineers (UIOCW)1 MG AraW Materiel Coinand (ANCRD-DE-NI)1 0G, Ballistic Research Laboratories1 CG USA OR Agency1 President, Chemical Corps Board1 COO Chemical Corps Traing Co(Jiand1 Comandant, Chemical Corps Schools (Library)1 00, CheOcal Research and Development LaboratoriesI Comander, Chemical Corps Nuclear Defense Laboratory
19
I Arq' Iviromontsl Ige Agency1 cO, Aberdeen Proving Gromod1 Director, e *.lter Ree AioW Medica Center1 0GC, Comat Developaunts Camnd(CDCU4V)1 Eq., Dogwmy Proving 0row3 The Surg.on General (iERM)1 CG, kgine.r Re@. and Dev. Laboratory1 Ifreeter, Offiee of Special Weapons DevelopmentI CO ArzW Research Office1 00, Watertown Arsenal1 cG, Nobility Comand1 CO, Munitions Comand1 CO, Fraukford Arsenal1 C0, Army Missile Commnd
AIR FORCE
1 Assistant Chief of Staff, Intelligence (AYC]N-3B)6 0,CG Aeronautical Syatems Division (ASAPRD-NS)1 Directorate of Civil Engineering (AFOCE-ES)1 Director, USAF Project RAND1 Commandant, School of Aerospace Medicine, Brooks AFB1 Office of the Surgeon (SUP3.1), Strategic Air Comand1 Office of the Surgeon General1 CG, Special Weapons Center, Kirtland AFB1 Director, Air University Library, Maxwell APB1 Comander, Technical Training IXng, 3415th TTG1 Coalnder, Electronic Systems Division (CRZT)
OTHER DOD ACTIVITIES
3 Chief, Defense Atomic Support Agency (Library)1 CoiAnder, FC/DASA, Sandia Base (FCDV)1 Commander, FC/DASA, Sandia Base (FCTG5, Library)1 Coimander, nC/DASA, Sandia Base (FCW?)2 Office of Civil Defense, Washington2 Civil Defense Unit, Army Library20 Armed Services Technical Information Agency1 Director, Armed Forces Radiobiolog Research Institute
ARO ACTIVITIES AND OTHES
1 Research Analysis Corporation100 Director, Division of Biology and Medicine1 Division of Biology and Medicine Fallout Branch (Knapp)1 Aerojet General, San Ramon1 Aerojet General, Asusa1 Allis-Chalmers Manufacturing Co., Milwaukee1 Allia-Chalmers Manufacturing Co., Washington1 Allison Division - (C32 Argome Cancer Research Hospital
20
Argonne National Laboratory1 Atomic Bo CaeualtCemkeseion
ABC Scientific Representative, FranceAMC Scientifio Representative, Japan
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21
2 NASA, Scientific and Technical Infomatio. faeility1 National Bureau of Standards (Libary)1 National Bureau of S=tsadz4 (Talor)I National Lead Company of Ohio1 Now Brunewick Area Office1 New Tork Operations Office1 Nuclear Materials and Iquipuent Corporation1 Nuclear Metals, Inc.1 Office of Assistant General Counmel for Patents4 Phillips Petroleum Company1 Power Reactor Development Compay4 Pratt and Whitney Aircraft Division1 Princeton University (Wlite)2 Public Health Service, Washington1 Public Health Service, Las Vegas1 Public Health Service, Montgomery1 Purdue University1 Radiation Applications, Inc.1 Sandia Corporation, Albuquerque1 Sandia Corporation, Livermore1 Teohnical Research Group1 Tracerlab, Inc., Richmond3 Union Carbide Nuclear Copny (ORGDP)4 Union Carbide Nuclear Company (ORNL)1 Union Carbide Nuclear Company (Paducah Plant)1 United Nuclear Corporation (NDA)1 U.S. Geological Survey, Denver1 U.S. Geological Survey, YAmelo Park1 U.S. Geological Survey, Naval Weapons Plant1 U.S. Geological Survey, Washington1 U.S. Geological Survey, UK Division2 University of California Lawrence Radiation Lab., Berkeley2 University of California Lawrence Radiation Lab., Livermore1 University of California, Los Angeles1 University of Hawaii1 University of Puerto Rico1 University of Rochester (Atomic Energ Project)1 University of Utah1 University of Washington (Donaldson)2 Westinghouse Bettis Atomic Power Laboratory1 Westinghouse Electric Corporation (Rahily)1 Westinghouse Electric Corporation (NASA)1 Yankee Atomic Electric Company25 Technical Information Extension, Oak Ridge
UURDL
41 USRMDL, Technical Information Division
DMISR TOR DATE: 19 April 1963
22
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