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<title type="245">Memorandum from Raymond L. Murray to Dr. Clifford K. Beck</title>
<title type="gmd">Machine readable transcription</title>
<author>Murray, Raymond L.</author>
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<name>Russell S. Koonts</name>
<resp>Creation of digital images:</resp>
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<publisher>NCSU Libraries</publisher>
<pubPlace>Raleigh, NC</pubPlace>
<idno type="ETC"> Modern English, MurNBabneutron040953</idno>
<availability>
<p>Available from: NC State University Archives</p>
<p>Publicly-accessible</p>
<p n="public">URL: http://www.lib.ncsu.edu/archives/etext/engineering/reactor/murray/</p>
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<date>14 November, 2000</date>
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<p>Nuclear Reactor Digitization Project</p>
<p>Raymond L. Murray Reactor Project Notebook</p>
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<note>Illustrations have been included from the print version.</note>
<note>Scanned by Russell Koonts with Photoshop 5.0 software.</note>
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<title>Memorandum from Raymond L. Murray to Dr. Clifford K. Beck</title>
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<idno>Manuscript copy consulted UA 105.16</idno>
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<date>April 9, 1953</date>
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<front><div1 type="summary" n="1">
<head><hi rend="bold"><hi rend="center">Memorandum from Raymond L. Murray to Dr. Clifford K. Beck</hi><lb/>
<bibl><abbr>Typescript</abbr><lb/> <extent>2 pp.</extent> <lb/><date value="1953-04-09">April 9, 1953</date><lb/> <idno rend="suppress">MurNBabneutron040953</idno></bibl></hi></head>
<p>

</p>
</div1>
</front>

<body>
<pb n="1"/>
<p><seg><xref id="reactorlg/MurNBabneutron040953a.jpg" rend='new'>
<figure entity="MurNBabneutron040953a"></figure></xref></seg></p>
<div1 type="memorandum" n="1">
<head>NCSC-61</head>
<opener>
<dateline><date value="1953-04-09">April 9, 1953</date></dateline>
To: <name type="person">Dr. C. K. Beck</name><lb/>
Subject: <hi rend="underline">Antimony-Beryllium Neutron Sources</hi><lb/>
From: <name type="person">R. L. Murray</name><lb/>
CC: Reactor Committee</opener>

<p>At your request, I looked into the feasibility of using a Sb-Be neutron source in<lb/>
the reactor. The purported advantage of such a unit is that it would be continually<lb/>
activated by the thermal neutrons from the reactor by the reaction.<lb/>
51<hi rend="sup">Sb<hi rend="sup">123</hi></hi> + o<hi rend="sup">n<hi rend="sup">1</hi></hi> -&gt; 52<hi rend="sup">Sb<hi rend="sup">124</hi></hi>
</p>

<p>The cross-section for neutron absorption in the Sb<hi rend="sup">123</hi> isotope, abundance 42.75&#x0025;<ptr target="a"/><lb/>
is 2.5 barns.<ptr target="b"/></p>

<p>The Sb<hi rend="sup">124</hi> isotope (60 day half-life) yields a variety of gamma rays of the order of<lb/>
an Mev energy. These will cause photodisintegration of Beryllium to give neutrons.<lb/>
These reactions are:<lb/>
52<hi rend="sup">sb<hi rend="sup">124</hi></hi> -&gt; 53<hi rend="sup">Te<hi rend="sup">124</hi></hi> + -1<hi rend="sup">e<hi rend="sup">o</hi></hi> + &#x03B3;<lb/>
4<hi rend="sup">Be<hi rend="sup">9</hi></hi> + &#x03B3; -&gt; o<hi rend="sup">n<hi rend="sup">1</hi></hi> + 4<hi rend="sup">Be<hi rend="sup">8</hi></hi></p>

<p>The Sb-Be sources supplied by <name type="place">Oak Ridge</name><ptr target="c"/> of a 3/4" x 3/4" Sb cylinder,<lb/>
surrounded by 11/64" of Be, and inserted in an Al can of 1/32" wall thickness. The<lb/>
over-all diameter is 1.15 inches, the antimony weight is 35 grains. The activity<lb/>
quoted for 120 day irradiation is 2.6 curies, in comparison with the saturation<lb/>
activity of 3.5 curies. The number of neutrons per second of the freshly-prepared<lb/>
source is given as 10<hi rend="sup">6</hi>/sec., which is marginal for reactor start up. Assuming, however,<lb/>
that this number might be sufficient, the question to be answered is whether irradiation<lb/>
in our flux would keep it at this strength. An estimate of this follows.
</p>
<p>Let the saturation activity be identical to g, the generation rate in the <name type="place"><abbr expan="Oak Ridge Nuclear Laboratory">ORNL</abbr></name> reactor<lb/>
flux &#x03C6;. If the macroscopic absorption cross-section of Sb<hi rend="sup">123</hi> is &#x03A3;, and the source<lb/>
volume is V, then<lb/>
g=&#x03A3; &#x03C6; V</p>

<p>From the density of Sb (6.691 gm/cm<hi rend="sup">3</hi>) the atomic weight (121.76 grams) and the<lb/>
abundance, we find the number of Sb<hi rend="sup">123</hi> nuclei per cm<hi rend="sup">3</hi> to be 0.0142 x 10<hi rend="sup">-4</hi>. Thus<lb/>
&#x03A3; = 0.0355. Taking g = 3.5 curries (1.3 x 10<hi rend="sup">11</hi> d/sec), we find<lb/>
&#x03C6; = 6.9 x 10<hi rend="sup">11</hi> n/cm<hi rend="sup">2</hi> sec.
</p>
<p>A source irradiated at the center of the <name type="corporate">Raleigh Reactor</name> at full power for an average<lb/>
of 6 hours per day would experience an effective flux of about 1.25 x 10<hi rend="sup">11</hi> n/cm<hi rend="sup">2</hi> sec.<lb/>
(The peak central flux is<ptr target="d"/> 5 x 10<hi rend="sup">11</hi>).
</p>

<pb n="2"/>
<p><seg><xref id="reactorlg/MurNBabneutron040953b.jpg" rend="new">
<figure entity="MurNBabneutron040953b"></figure></xref></seg></p>
<p>To: <name type="person">Dr. C. K. Beck</name><lb/>
Subject: <hi rend="underline">Antimony-Beryllium Neutron Sources</hi>
</p>
<p>A formula may readily be derived for the activity of a source of initial strength<lb/>
A<hi rend="sub">o</hi> at any time t. It is<lb/>
A = A<hi rend="sub">o</hi>e<hi rend="sup">-&#x03BB;t</hi> + g<hi rend="sub">1</hi>(1-e<hi rend="sup">-&#x03BB;t</hi>)<lb/>
where g<hi rend="sub">1</hi> is the generation rate in the reactor. Comparing <name type="corporate"><abbr expan="Raleigh Research Reactor">RRR</abbr></name> and <name type="corporate"><abbr expan="Oak Ridge Nuclear Laboratory">ORNL</abbr></name> flux,<lb/>
g<hi rend="sub">1</hi> = <hi rend="sup">1.25x10<hi rend="sup">11</hi></hi>/<hi rend="sub">6.9x10<hi rend="sup">11</hi></hi> g; also by comparing saturation and delivered activities of the<lb/>
source g = <hi rend="sup">3.5</hi>/<hi rend="sub">2.6</hi> A<hi rend="sub">o</hi>
</p>
<p>Thus, g<hi rend="sub">1</hi> = 0.244 A<hi rend="sub">o</hi> and<lb/>
A/A<hi rend="sub">o</hi> =  e<hi rend="sup">-&#x03BB;t</hi> (0.756) + 0.244
</p>
<p>The time required for the activity to drop by a factor of two (an effective half life<lb/>
found to be 94 days in comparison with the ordinary 60 day half life.
</p>
<p>The following conclusions seem to be proper.
<list>
<item>1.  The Sb<hi rend="sup">124</hi> source has a dimension (as supplied from <name type="place">Oak Ridge</name>) that cannot be put<lb/>
in the glory hole of the reactor. One could be fabricated of course in a more<lb/>
favorable shape, but would require 4 months' irradiation.</item>

<item>2.  The irradiation that could be given at full power in our reactor operation would<lb/>
serve only to extend the half life from 60 days to an effective 94 days. Since<lb/>
the yield of 10<hi rend="sup">6</hi> neutrons/sec. from the sources is on the borderline so far as<lb/>
strength is concerned, such losses would quickly render the source useless.<lb/>
Several sources could be employed, but the build-up would be even smaller if<lb/>
they were located outside the reactor core. If put in the glory hole, they<lb/>
would probably seriously poison the reactor. This factor has not been considered<lb/>
in this analysis.</item></list>
</p>
</div1>
</body>
<back>
<div1 type="notes" n="2">
<anchor id="a"/><p><title><hi rend="underline">Nuclear Data</hi></title>, NBS 499 and supplements, <date value="1950-09-xx"><abbr expan="September">Sept.</abbr> 1950</date></p>
<anchor id="b"/><p><title><hi rend="underline">Neutron Cross-Sections</hi></title>, AECV 2040, <date value="1952-05-15">May 15, 1952</date></p>
<anchor id="c"/><p>ISOTOPES - Catalog and Price List, <name type="corporate">Oak Ridge National Laboratory</name></p>
<anchor id="d"/><p>NCSC 46 "<title>Further Design Features of the Nuclear Reactor. . .</title>", <date value="1952-01-xx"><abbr expan="January">Jan.</abbr> 1952</date></p>


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