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<title>Further Notes on Characteristics of N. C. State Research Reactor</title>
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<author>Beck, Clifford</author>
<author>Menius, Arthur</author>
<author>Murray, Raymond</author>
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<p>Nuclear Reactor Digitization Project</p>
<p>Raymond L. Murray Reactor Project Notebook</p>
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<title>Further Notes on Characteristics of N. C. State Research Reactor</title>
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<text id="MurNBfurther091050T">

<front><div1 type="summary" n="1">
<head><hi rend="bold"><hi rend="center">Further Notes on Characteristics of N. C. State Research Reactor</hi><lb/>
<bibl><abbr>Typescript</abbr><lb/> <extent>6 pp.</extent> <lb/><date value="1950-09-10">Sep. 10, 1950</date><lb/> <idno rend="suppress">MurNBfurther091050</idno></bibl></hi></head>
<p>
</p>
</div1>
</front>

<body>
<pb n=""/>
<p><seg><xref id="reactorlg/MurNBfurther091050a.jpg" rend="new">
<figure entity="MurNBfurther091050a"></figure></xref></seg></p>

<div1 type="report" n="1">
<p><hi rend="italics">Reac. Memos<lb/>
Notebook</hi></p>
<p><title><hi rend="underline">FURTHER NOTES ON CHARACTERISTICS OF N. C. STATE RESEARCH REACTOR
</hi></title></p>

<p><date value="1950-09-10">September 10, 1950</date></p>

<p><name type="person">Clifford Beck</name><lb/>

<name type="person">Arthur Menius</name><lb/>

<name type="person">Raymond Murray</name></p>

<pb ed="2" n=""/>
<p><seg><xref id="reactorlg/MurNBfurther091050b.jpg" rend="new">
<figure entity="MurNBfurther091050b"></figure></xref></seg></p>

<div2 type="section" n="1">
<head>DEPOSITION OF LONG-LIVED FISSION PRODUCTS FROM THE REACTOR</head>

<p>At upper limit may be calculated for the quantity of long-lived fission <orig reg="products">prod-<lb/>
ucts</orig> which could collect on the walls of buildings surrounding the reactor.
</p>
<p><list><item>1. The prevailing wind - i.e. 14&#x0025; of the time - is from the southwest.</item>
<item>&#x2001;</item>
<item>2. The only long-lived gaseous fission products which will escape from the<lb/>
reactor are Kr<hi rend="sup">85</hi>, Rb<hi rend="sup">87</hi>, Cs<hi rend="sup">137</hi>.</item>
<item>&#x2001;</item>
<item>3. Assume that the reactor operates steadily (24 hrs/day) at 10 KW level for ten<lb/>
years The activity of the 3 listed elements at the end of ten years due to<lb/>
the cumulative total of each element produced is:</item>
</list></p>
<p><table>
<row>
<cell>Element</cell>
<cell>Boiling Point</cell>
<cell>Half Life</cell>
<cell>Fission Yield (f)</cell>
<cell>Disintegrations/second from Total<lb/><abbr expan="Amount">Amt.</abbr> Produced in 10 years (= 1.4 x<lb/>10<hi rend="sup">-3</hi>) (3x10<hi rend="sup">10</hi>) P(watts) f(1-e <hi rend="sup">-.693t</hi>/<hi rend="sub">&#x03BB;</hi>)</cell>
</row>
<row>
<cell><hi rend="center">Kr<hi rend="sup">85</hi></hi></cell>
<cell><hi rend="center">gas</hi></cell>
<cell><hi rend="center">10 y</hi></cell>
<cell><hi rend="center">0.24&#x0025;</hi></cell>
<cell><hi rend="center">3.9 x 10<hi rend="sup">8</hi></hi></cell>
</row>
<row>
<cell><hi rend="center">Rb<hi rend="sup">87</hi></hi></cell>
<cell><hi rend="center">700&#x00B0;</hi></cell>
<cell><hi rend="center">6.3x10<hi rend="sup">10</hi>y</hi></cell>
<cell><hi rend="center">3. &#x0025;</hi></cell>
<cell><hi rend="center">Neg<hi rend="strike">ative</hi><hi rend="italics">ligible</hi></hi></cell>
</row>
<row>
<cell><hi rend="center">Cs<hi rend="sup">l37</hi></hi></cell>
<cell><hi rend="center">670&#x00B0;</hi></cell>
<cell><hi rend="center">33 y</hi></cell>
<cell><hi rend="center">6. &#x0025;</hi></cell>
<cell><hi rend="center">2. x 10<hi rend="sup">10</hi></hi></cell>
</row>
</table></p>

<p><list><item>4. Assume that all of the Kr<hi rend="sup">85</hi> and 10&#x0025; of the Cs<hi rend="sup">137</hi> (because of boiling point<lb/>
and low reactor temperature) escapes into the atmosphere. Rb<hi rend="sup">87</hi> may he neglected<lb/>
in comparison with Cs<hi rend="sup">137</hi> because of its long half-life.</item>
<item>&#x2001;</item>
<item>5. Assume that a building 60 feet high is 200 feet northeast of the reactor,<lb/>
directly in the path of the prevailing wind.  No building will be closer<lb/>
than this, and none would be exposed to the stack exhaust more than this<lb/>
14&#x0025; of the time.</item>
<item>&#x2001;</item>
<item>6. Assume that the stack gases are released at sufficiently low level (30 or 40<lb/>
feet) that the expanding cone-of-exposure at the building in question is at<lb/>
maximum; i.e. the area exposed to the cone of stack gases is 1/7 (200') 28' in<lb/>
diameter, = 5 x 10<hi rend="sup">5</hi> cm<hi rend="sup">2</hi> area.</item>
<item>&#x2001;</item>
<item>7. Assume that 0.05&#x0025; of the radioactive gases in the cone of gases from the stack<lb/>
actually deposits on the building walls and is not subsequently weathered off.</item>
</list></p>

<pb ed="3" n=""/>
<p><seg><xref id="reactorlg/MurNBfurther091050c.jpg" rend="new">
<figure entity="MurNBfurther091050c"></figure></xref></seg></p>

<p>The activity on the building wall at the end of ten years is then<lb/>


<table>
<row>
<cell>Kr<hi rend="sup">85</hi>: 3.9 x 10<hi rend="sup">8</hi> x 0.05&#x0025;</cell><cell>= .2 x 10<hi rend="sup">6</hi> disintegrations/sec.</cell>
</row>
<row>
<cell>Cs<hi rend="sup">137</hi>: 2 x 10<hi rend="sup">10</hi> x 10&#x0025; x 0.05&#x0025; </cell><cell><hi rend="underline">= 1 x 10</hi><hi rend="sup">6</hi></cell>
</row>
<row>
<cell>Total</cell><cell>= 1.2 x 10<hi rend="sup">6</hi> disintegrations/sec/5 x 10<hi rend="sup">5</hi> cm<hi rend="sup">2</hi></cell>
</row>
<row>
<cell></cell><cell><hi rend="underline">= 1.2 x 10</hi><hi rend="sup">6</hi> = 2.4 disintegrations/sec/cm<hi rend="sup">2</hi></cell>
</row>
<row>
<cell></cell><cell>5 x 10<hi rend="sup">5</hi></cell>
</row>
</table>
</p>

</div2>
<pb ed="4" n=""/>
<div2 type="image" n="4">
<head></head>
<p><seg><xref id="reactorlg/MurNBfurther091050d.jpg" rend="new">
<figure entity="MurNBfurther091050d"></figure></xref></seg></p>
</div2>

<div2 type="section" n="2">
<head>HEATING OF REACTOR AFTER SHUT-DOWN</head>

<p>If the reactor is "shut-down" and the cooling water is cut off simultaneously,<lb/>
there is the possibility of a rise in temperature due to the activity of the fission<lb/>
products. The power due to the activity of &#x03B2; and &#x03B3; rays from the fission products is<lb/>
given by (Way and Wigner)
<lb/>
<seg rend='left'><figure entity="MurNBfurther091050form1"></figure></seg>


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</formula></hi><lb/>

where f is the previous rate of use of uranium, T is the previous operation time of the<lb/>
reactor and t is the time after shut-down. At 10 KW f &#x2243; 1/100 gms/day. Assume that<lb/>
T = 100 days and t = 0.001 (about 1 1/2 minutes). Then</p>

<p>E (T,t) = 225 watts.</p>

<p>Calculations on the conduction of heat through the graphite, assuming reactor<lb/>
temperature, Tr 80&#x00B0;C and temperature at end of graphite reflector, T<hi rend="sub">t</hi> 20&#x00B0;C, <orig reg="indicate">indi-<lb/>
cate</orig> that about 1 KW can be thus dissipated.
</p>
<p>The reactor temperature, therefore, will decrease after shut-down, whether the<lb/>
cooling water continues to flow or not.
</p>
</div2>
<pb ed="5" n=""/>
<div2 type="image" n="5">
<head></head>
<p><seg><xref id="reactorlg/MurNBfurther091050e.jpg" rend="new">
<figure entity="MurNBfurther091050e"></figure></xref></seg></p>
</div2>

<div2 type="section" n="3">
<head>RADIATION EXPOSURE HAZARD RESULTING FROM EXPLOSIVE VAPORIZATION<lb/>
OF 50&#x0025; OF FISSION PRODUCTS IN THE REACTOR</head>

<p>If, due to sabotage, a non nuclear explosion should vaporize 50&#x0025; of the fission<lb/>
products accumulated in the reactor, an approximation may he made of the radiation<lb/>
exposure hazard which could result.
</p>
<p>The hazard is calculated for two possible cases: 1. The explosion causes<lb/>
formation of a small cloud near ground level, which subsequently drifts away. The<lb/>
cloud in assumed to spread laterally 1/7th the distance of downwind travel. 2. The<lb/>
explosion causes formation in the reactor room of a cloud which is exhausted through<lb/>
the building stack (150 feet high). The cloud subsequently drifts away from the top<lb/>
of the stack, spreading as above.
</p>
<p>Assumptions:</p>

<p>
<table>
<row>
<cell>1. Reactor has operated steadily at 5 KW.</cell><cell></cell>
</row>
<row>
<cell>2. Wind velocity is 2 m/hr.</cell><cell></cell>
</row>
<row>
<cell>3. Range of &#x03B2; = 5ft; of &#x03B3; = 1000 ft.</cell><cell></cell>
</row>
<row>
<cell>4. Exposure (Roentgens) = 2 x 10<hi rend="sup">10</hi></cell><cell><seg rend='left'><figure entity="MurNBfurther091050form2"></figure></seg>
<hi rend="suppress"><formula notation="mathml"><!--
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-->
</formula></hi></cell>
</row>

</table>				
</p>

<p>Case 1. Cloud is formed near ground-level and drifts toward a man 200 feet away. The<lb/>
man's exposure is<lb/>

<seg rend='left'><figure entity="MurNBfurther091050form3"></figure></seg>
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    </mrow>
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</m:math>
-->
</formula></hi>				
</p>

<p>Case 2. Cloud is dispersed from top of 150 foot stack and reaches ground level at 1050<lb/>
feet. A man's exposure at 1050 feet, at the point the cloud reaches ground<lb/>
level, is

<lb/>
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        </mfrac>
        <mo>=</mo>
        <mfrac>
          <mrow>
            <msup>
              <mrow>
                <mn>1</mn>
                <mn>0</mn>
              </mrow>
              <mrow>
                <mn>1</mn>
                <mn>1</mn>
              </mrow>
            </msup>
          </mrow>
          <mrow>
            <msup>
              <mrow>
                <mn>4</mn>
                <mo>&times;</mo>
                <mn>1</mn>
                <mn>0</mn>
              </mrow>
              <mrow>
                <mn>1</mn>
                <mn>0</mn>
              </mrow>
            </msup>
          </mrow>
        </mfrac>
        <mo>=</mo>
        <mn>2</mn>
        <mn>.</mn>
        <mn>5</mn>
        <mi>&thinsp;</mi>
        <mi>r</mi>
        <mi>o</mi>
        <mi>e</mi>
        <mi>n</mi>
        <mi>t</mi>
        <mi>g</mi>
        <mi>e</mi>
        <mi>n</mi>
        <mi>s</mi>
        <mn>.</mn>
      </mrow>
    </mrow>
  </mrow>
</m:math>
-->
</formula></hi>	
</p>
</div2>
<pb ed="6" n=""/>
<div2 type="image" n="6">
<head></head>
<p><seg><xref id="reactorlg/MurNBfurther091050f.jpg" rend="new">
<figure entity="MurNBfurther091050f"></figure></xref></seg></p>

</div2>
<div2 type="section" n="4">
<head>TOLERANCE LEVELS</head>

<p>The daily tolerance level of <orig reg="permissible">permissable</orig> total body exposure to radiation is<lb/>
0.1 r/8 hours. Each or the following fluxes will result in approximately 0.1 r/8 hrs:
</p>
<p>
<table>
<row>
<cell>80</cell><cell>2 Mev</cell><cell>&#x03B2;'s/cm<hi rend="sup">2</hi> sec.</cell></row>
<row><cell>270</cell><cell>2 Mev</cell><cell>n's/cm<hi rend="sup">2</hi> sec.</cell></row>
<row><cell>3300</cell><cell>2 Mev</cell><cell>&#x03B3;'s/cm<hi rend="sup">2</hi> sec.</cell></row>
<row><cell>46,500</cell><cell>1/40 ev</cell><cell>n's/cm<hi rend="sup">2</hi> sec.</cell></row>
</table></p>

<p>Plutonium tolerance - 5 x 10<hi rend="sup">-5</hi> &#x03BC; grams/cc in drinking water
</p>
<p>Drinking water tolerance 10<hi rend="sup">-6</hi> curries/cu ft.
</p>
<p><hi rend="italics">|&#x2190;40"&#x2192;|&#x2190;6'&#x2192;|</hi>
</p>
<p><hi rend="italics">270 n/cm<hi rend="sup">2</hi>/sec 0.1r in 8 hrs.<lb/>
2x10<hi rend="sup">18</hi> n/sec</hi>
</p>
<p><hi rend="italics">
Father <hi rend="sup">Joseph</hi> Lynch, Fordham<lb/>
Earthquakes</hi>
</p>
</div2>
</div1>
</body>
</text>
</TEI.2>
