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  <front>
    <article-meta>
      <title-group>
        <article-title>Design &amp; calculation of radiation retaining wall thickness cobalt-60 source of brachytherapy at radiotherapy unit Dr. Kariadi Hospital Semarang</article-title>
      </title-group>
      <contrib-group content-type="author">
        <contrib contrib-type="person">
          <name>
            <given-names>Suwardi</given-names>
          </name>
          <email>suwarditrahmajapahit@yahoo.co.id</email>
          <xref ref-type="aff" rid="aff-1"/>
        </contrib>
      </contrib-group>
      <aff id="aff-1">
        <institution>Radiotherapy Unit, Dr. Kariadi Hospital, Semarang, Indonesia.</institution>
        <country>Indonesia</country>
      </aff>
      <history>
        <date date-type="received" iso-8601-date="2020-08-13">
          <day>13</day>
          <month>08</month>
          <year>2020</year>
        </date>
        <date data-type="published" iso-8601-date="2020-08-13">
          <day>13</day>
          <month>08</month>
          <year>2020</year>
        </date>
      </history>
    </article-meta>
  </front>
  <body>
    <fig>
      <graphic mimetype="image" mime-subtype="jpeg" xlink:href="image1.jpeg"/>
    </fig>
    <p>
      <bold>www.ijamscr.com</bold>
    </p>
    <p>
      <bold>Design &amp; calculation of radiation retaining wall thickness cobalt-60 source of brachytherapy at radiotherapy unit Dr. </bold>
      <bold>Kariadi</bold>
      <bold> Hospital Semarang</bold>
    </p>
    <p>
      <bold>Suwardi</bold>
      <bold>*</bold>
      <bold>
        <sup>1</sup>
      </bold>
      <bold>,</bold>
      <bold>Dewi Widyaningsih</bold>
      <bold>
        <sup>2</sup>
      </bold>
    </p>
    <p>
      <italic>
        <sup>1 </sup>
      </italic>
      <italic>Radiotherapy Unit, Dr. Kariadi Hospital, Semarang, Indonesia </italic>
    </p>
    <p>
      <italic>
        <sup>2</sup>
      </italic>
      <italic>Radiotherapy </italic>
      <italic>Unit</italic>
      <italic>, Dr. Kariadi Hospital, Semarang, Indonesia</italic>
    </p>
    <p><bold>*Corresponding Author</bold>:<bold>Suwardi</bold></p>
    <p>
      <bold>Email id: suwarditrahmajapahit@yahoo.co.id</bold>
    </p>
    <sec id="sec-1">
      <title>
        <bold>ABSTRACT</bold>
      </title>
      <p>To improve radiotherapy services, Dr. Kariadi hospital Semarang plans to install a new Brakhiterapi machine using Co-60 sources. The radiotherapy room that was built was previously used for Brachytherapy using the Ir-192 source. In accordance with nuclear regulations in force in Indonesia, the Co-60 brachytherapy machine must be installed in a radiotherapy room that has obtained a new construction permit from the Nuclear Energy Supervisory Agency (Bapeten), considering that the radioactive source to be used is different from the previous radioactive source, activity and energy. The calculation document for radiation retaining wall thickness is compiled as one of the requirements to obtain construction approval from the Nuclear Energy Supervisory Agency.</p>
      <p><bold>Keywords:</bold> Radiotherapy, brachytherapy, Co-60 sources, the calculation for radiation wall thickness</p>
    </sec>
    <sec id="sec-2"/>
    <sec id="sec-3">
      <title>
        <bold>Introduction</bold>
      </title>
      <p>Radiation protection is a system for controlling radiation hazards by using radiation protection equipment and following radiation protection regulations that have been standardized1. Possible radiation hazards are caused by irradiation of the external body (external), if the radiation source is outside the body and maybe the radiation hazard is caused by irradiation of the inner body (internal), if the radiation source is in the body [1,2,3].  </p>
      <p>Biological Effects of Adverse Radiation are grouped into 3, namely the non-stockastic somatic effect which usually causes redness of the skin, the somatic stockastic effect which is for example cancer of leukemia and the genetic stochastic effect that can be inherited in the next generation. Non-stochastic effects occur when the dose received exceeds the prescribed threshold dose. The price of this threshold dose is not the same for everyone and depends on the conditions of irradiation [2,3].</p>
      <p>If the reception of the dose above the threshold dose the effect will be even more severe if the dose received is higher. Usually it will arise immediately (less than 1 year after irradiation). The occurrence of a Stochastic effect follows a probabilitic relationship in the sense that if a group of people receives a higher dose there will be a greater likelihood of certain Stochastic effects. This effect (in somatic terms) will be experienced by several people in this group randomly. In this case the genetic frequency of an abnormality in the next generation is higher when the dose received by the group is higher [2,3].</p>
      <p>For this reason, the Government issued regulations aimed at reducing these adverse factors, in the form of Government Regulation No. 11, 12, 13 of 1975, while the implementation provisions were issued through the Decree of the Director General of BATAN no. 24 / DJ / II / 1983. In it the scope is explained as follows: Provisions for occupational safety are intended as a guide for those who work with ionizing radiation sources in the fields of health, industry, education, research and so on. The provisions contained in this manual contain the basics of radiation protection, including regulating: Allowable radiation dose limit values, Work requirements with radiation sources and Work procedures that must be adhered to and carried out by everyone who works with radiation sources [4]. By using a dosage limitation system for body irradiation (both external and internal radiation) the possibility of radiation risk can be ignored. This is the job of a Radiation Protection Officer by following the Radiation Protection Regulations and using sophisticated protective equipment can save radiation workers and society in general.</p>
      <p>The procedure commonly used to prevent and control radiation hazards is to eliminate radiation hazards, isolate radiation hazards from humans and isolate humans from radiation hazards. The application of the three radiation protection principles is carried out by the Radiation Protection Officer1, 4,5. The main principle is clear by obeying and implementing radiation protection regulations, secondly by designing the workplace and using radiation protection equipment and adequate radiation retention so that work and environment conditions are safe and secure and the third requires constant monitoring and supervision of radiation workers. environment using individual monitoring tools, environmental monitoring and surveymeter [5,6].</p>
      <p>Given that besides the benefits of external and internal radiation which is ionizing radiation, it is potential to cause radiation hazards, while technically it is impossible to eliminate the source, the danger of radiation from external and internal radiation to the officer or the environment can be controlled with three basic rules of radiation protection, namely reducing radiation time. Seek distance from the radiation source as far as possible and use a radiation barrier [5,6].</p>
      <p>A radiotherapy operator who has to work for a certain amount of time (according to the required dose calculation) which is relatively long and at a distance that is relatively close to the source of the only way to control radiation hazards is to install a radiation barrier between the source and the operator. There are two types of radiation retention to the source and barrier of radiation for the environment, namely the walls of the radiotherapy machine [4,5,8]. </p>
      <p>Calculation of barrier planning, anchoring is divided into two types, namely primary and secondary anchors. Primary deterrents provide protection against use rays, which are rays that come directly from the radiation source, while the secondary barrier provides protection against leaky radiation and scattered radiation7. As for the brachytherapy chamber, we consider all retaining walls as primary anchors, because the radiation source from brachytherapy is not collimated.</p>
      <p>To improve radiotherapy services, Dr. Kariadi hospital Semarang plans to install a new Brakhiterapi machine using Co-60 sources. The radiotherapy room that was built was previously used for Brachytherapy using the Ir-192 source. In accordance with nuclear regulations in force in Indonesia, the Co-60 brachytherapy aircraft must be installed in a radiotherapy room that has obtained a new construction permit from the Nuclear Energy Supervisory Agency (Bapeten), considering that the radioactive source to be used is different from the previous radioactive source, activity and energy</p>
    </sec>
    <sec id="sec-4">
      <title>
        <bold>Materials and Method</bold>
      </title>
      <p>In this study the calculation parameters we use are: </p>
      <p>(According to PERKA BAPETEN No. 3 of 2013)</p>
      <list list-type="bullet">
        <list-item>
          <p>Radioactive source: Co-60</p>
        </list-item>
        <list-item>
          <p>Energy: 1.33 Mev</p>
        </list-item>
        <list-item>
          <p>Source activity: 2.5 Ci</p>
        </list-item>
        <list-item>
          <p>Reference air kerma rate: 308 µgym2/gbqh</p>
        </list-item>
        <list-item>
          <p>Number of patients: 35 patiens/week</p>
        </list-item>
        <list-item>
          <p>Duration of treatment: 0.25 hours/patient</p>
        </list-item>
        <list-item>
          <p>Control area: 0.2 msv/week</p>
        </list-item>
        <list-item>
          <p>Uncontrol area: 0.01 msv/week</p>
        </list-item>
        <list-item>
          <p>T Factor: 1 (NCRP 151)</p>
        </list-item>
      </list>
      <fig>
        <graphic mimetype="image" mime-subtype="jpeg" xlink:href="image2.jpeg"/>
      </fig>
      <fig>
        <graphic mimetype="image" mime-subtype="jpeg" xlink:href="image3.jpeg"/>
      </fig>
      <p>
        <bold>Fig 2. </bold>
        <bold>Room Br</bold>
        <bold>chytherapy</bold>
        <bold> Co-60 space roof plan</bold>
      </p>
      <p>Assume the layout of the patient's bed during treatment so that the bed area is likely to position the source as shown in Figure 1.</p>
      <sec id="sec-4_1"/>
      <sec id="sec-4_2">
        <title>
          <bold>Distance of Protection Point against source (d) </bold>
        </title>
        <list list-type="bullet">
          <list-item>
            <p>A: 2 m</p>
          </list-item>
          <list-item>
            <p>A’: 3 m</p>
          </list-item>
          <list-item>
            <p>A’: 3.25 m</p>
          </list-item>
          <list-item>
            <p>B: 3.65 m</p>
          </list-item>
          <list-item>
            <p>C: 6 m</p>
          </list-item>
          <list-item>
            <p>D: 2 m</p>
          </list-item>
          <list-item>
            <p>E: 4.5 m</p>
          </list-item>
          <list-item>
            <p>Roof: 3.5 m</p>
          </list-item>
        </list>
      </sec>
      <sec id="sec-4_3">
        <title>
          <bold>Radiation retaining material</bold>
        </title>
        <p>                            TVL (cm)TVLe(cm)</p>
        <p>Concrete21.821.8</p>
        <p>Iron (Fe)7.17.1</p>
        <p>Lead (Pb)4.14.1</p>
        <p>Workload (W)</p>
        <p>Workload  is calculated by equation [8]</p>
        <p>W = brachytherapy / week workload</p>
        <p>T<sub>AKR</sub> = reference rate kerma Cobalt-60 source</p>
        <p>A = source ativity </p>
        <p>t = duration of treatment/patient</p>
        <p>n = number of patients/week</p>
        <p>By substituting the value of each of the variables available above into the equation, it is found that the workload of the brachytherapy is <bold>245.25 mGym</bold><bold><sup>2</sup></bold><bold> / week.</bold></p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>
        <bold>Results and Discussion</bold>
      </title>
      <sec id="sec-5_1">
        <title>
          <bold>Calculation of Radiation Restraint Thickness</bold>
        </title>
        <p>The equation used in calculating the radiation retaining thickness is as follows 8:</p>
        <list list-type="bullet">
          <list-item>
            <p>B= Barrier transmission factor</p>
          </list-item>
          <list-item>
            <p>P= Dosage limits allowed</p>
          </list-item>
          <list-item>
            <p>d= Source distance to protection point</p>
          </list-item>
          <list-item>
            <p>W= Work load brakhiterapy machine</p>
          </list-item>
          <list-item>
            <p>T= Space placement factor</p>
          </list-item>
          <list-item>
            <p>n = Number of radiation retaining TVLs</p>
          </list-item>
          <list-item>
            <p>TVL = Tenth value layer</p>
          </list-item>
          <list-item>
            <p>X= The radiation retaining thickness at the protection point</p>
          </list-item>
        </list>
        <p>By substituting the values of each of the variables available above into the equation above, the wall thickness (X) will be obtained. The results of the calculation of each wall can be summarized in the table as follows:</p>
        <p>
          <bold>Table 1. </bold>
          <bold>Calculation of brachytherapy chamber wall thickness</bold>
        </p>
        <table-wrap>
          <table>
            <tr>
              <td>
                <bold>Point</bold>
              </td>
              <td>
                <bold>area type</bold>
              </td>
              <td>
                <bold>P (mSv/week)</bold>
              </td>
              <td>
                <bold>T</bold>
              </td>
              <td>
                <bold>d(m)</bold>
              </td>
              <td>
                <bold>B</bold>
              </td>
              <td>
                <bold>n</bold>
              </td>
              <td>
                <bold>X</bold>
              </td>
            </tr>
            <tr>
              <td>A</td>
              <td>uncontrol</td>
              <td>0.01</td>
              <td>1</td>
              <td>2</td>
              <td>1.63x10<sup>-4</sup></td>
              <td>3.79</td>
              <td>82.6</td>
            </tr>
            <tr>
              <td>A’</td>
              <td>uncontrol</td>
              <td>0.01</td>
              <td>1</td>
              <td>3</td>
              <td>3.67x10<sup>-4</sup></td>
              <td>3.44</td>
              <td>74.9</td>
            </tr>
            <tr>
              <td>B</td>
              <td>uncontrol</td>
              <td>0.01</td>
              <td>1</td>
              <td>3.25</td>
              <td>4.31x10<sup>-4</sup></td>
              <td>3.37</td>
              <td>73.4</td>
            </tr>
            <tr>
              <td>B’</td>
              <td>uncontrol</td>
              <td>0.01</td>
              <td>1</td>
              <td>3.65</td>
              <td>5.43x10<sup>-4</sup></td>
              <td>3.27</td>
              <td>71.2</td>
            </tr>
            <tr>
              <td>C</td>
              <td>uncontrol</td>
              <td>0.01</td>
              <td>1</td>
              <td>6</td>
              <td>1.47x10<sup>-3</sup></td>
              <td>2.83</td>
              <td>61.8</td>
            </tr>
            <tr>
              <td>D</td>
              <td>control</td>
              <td>0.2</td>
              <td>1</td>
              <td>2.06</td>
              <td>3.46x10<sup>-3</sup></td>
              <td>2.46</td>
              <td>53.6</td>
            </tr>
            <tr>
              <td>E</td>
              <td>control</td>
              <td>0.2</td>
              <td>1</td>
              <td>4.5</td>
              <td>1.65x10<sup>-2</sup></td>
              <td>1.78</td>
              <td>38.9</td>
            </tr>
            <tr>
              <td>F</td>
              <td>control</td>
              <td>0.2</td>
              <td>1</td>
              <td>2.4</td>
              <td>4.7x10<sup>-3</sup></td>
              <td>2.33</td>
              <td>50.8</td>
            </tr>
            <tr>
              <td>Roof</td>
              <td>uncontrol</td>
              <td>0.01</td>
              <td>1</td>
              <td>3.5</td>
              <td>5x10<sup>-4</sup></td>
              <td>3.30</td>
              <td>72</td>
            </tr>
          </table>
        </table-wrap>
        <p>Comparison of brachytherapic chamber wall thickness calculated with actual thickness according to bluebrint is in the following table:</p>
        <p>
          <bold>Table 2. </bold>
          <bold>Comparis</bold>
          <bold>s</bold>
          <bold>on of </bold>
          <bold>brachytherapy</bold>
          <bold> chamber wall thickness from the calculated thickness is actually in accordance with </bold>
          <bold>bluebrint</bold>
        </p>
        <table-wrap>
          <table>
            <tr>
              <td>
                <bold>Wall</bold>
              </td>
              <td>
                <bold>X according to the blue print</bold>
                <bold> (cm Concrete)</bold>
              </td>
              <td>
                <bold>X calculation</bold>
                <bold>(cm Concrete)</bold>
              </td>
            </tr>
            <tr>
              <td>A</td>
              <td>100</td>
              <td>82.6</td>
            </tr>
            <tr>
              <td> A’</td>
              <td>200</td>
              <td>74.9</td>
            </tr>
            <tr>
              <td>B</td>
              <td>160</td>
              <td>73.4</td>
            </tr>
            <tr>
              <td> B’</td>
              <td>200</td>
              <td>71.2</td>
            </tr>
            <tr>
              <td>C</td>
              <td>50 cm concrete + 400 cm soil</td>
              <td>61.8</td>
            </tr>
            <tr>
              <td> D</td>
              <td>50 cm concrete + 6 cm Fe</td>
              <td>53.6</td>
            </tr>
            <tr>
              <td> E</td>
              <td>50 cm concrete + 10 cm Fe</td>
              <td>39.9</td>
            </tr>
            <tr>
              <td> F</td>
              <td>50 cm concrete + 6 cm Fe</td>
              <td>50.8</td>
            </tr>
            <tr>
              <td>  Roof</td>
              <td>75</td>
              <td>72</td>
            </tr>
          </table>
        </table-wrap>
      </sec>
      <sec id="sec-5_2"/>
      <sec id="sec-5_3">
        <title>
          <bold>Door Thickness Calculation</bold>
        </title>
        <p>In determining the thickness of the door required for a brachytherapy aircraft installation, the dose rate at the labyrinth entry point must be determined in advance. The radiation dose at that point is the accumulation of primary source radiation through the patient and the labyrinthine wall and scattering radiation along the labyrinth wall.</p>
        <p>For primary radiation through the patient and the labyrinthine wall, the radiation dose rate can be calculated by the equation [8].</p>
        <p>D<sub>p</sub>=  Primary radiation dose rates due to patient attenuation and labyrinthine walls</p>
        <p>P=  The dose rate allowed after radiation through the wall</p>
        <p>D <bold><sub>0</sub></bold><bold><sub>,81</sub></bold>=   Attenuation factor of brachytherapy patients ( Table 21 SRS 47 )</p>
        <p>By substituting the values of each of the variables available above into the equation above, the value of <bold>Dp</bold><bold> = 0.162 </bold><bold>mSv</bold><bold> / week</bold> is obtained.</p>
        <p>As for scattering radiation along the labyrinth wall, it is obtained using equations<sup> 8</sup>:</p>
        <list list-type="order">
          <list-item>
            <p>W=245.25 mGym<sup>2</sup>/week</p>
          </list-item>
          <list-item>
            <p>α<sub>0</sub>=1.26 x 10<sup>-2</sup> ( Table 6 SRS 47 )</p>
          </list-item>
          <list-item>
            <p>A<sub>0</sub>=8.4m<sup>2</sup></p>
          </list-item>
          <list-item>
            <p>α<sub> 1</sub>=7.79 x 10<sup>-3</sup> ( Table 6 SRS 47 )</p>
          </list-item>
          <list-item>
            <p>A<sub>1</sub>= 6.3m2</p>
          </list-item>
          <list-item>
            <p>d1= 5.7 m</p>
          </list-item>
          <list-item>
            <p>d2= 6.3 m</p>
          </list-item>
        </list>
        <p>By substituting the values of the above variables to the above equation the value is obtained:</p>
        <p>So the total dose rate at the labyrinth entry point is[8] :</p>
        <p>  = 0.16 + 0.000131 = 0.1 mSv/minggu</p>
        <p>Behind the door is designed as an uncontrolled area with <bold>P = 0.01 </bold><bold>mSv</bold><bold> / week</bold>. The thickness of the door needed can be determined based on the equation <sup>8</sup>:</p>
        <p>TVL Pb for scattering Co-60 radiation files is 6.5 mmPb (SRS 47 Table 23). So the thickness of Pb needed for the door is <bold>8.26 </bold><bold>mmPb</bold>.</p>
        <p>The thickness of the door to be built is <bold>8.5 </bold><bold>mmPb</bold><bold>.</bold></p>
      </sec>
      <sec id="sec-5_4">
        <title>
          <bold>Calculation of dose rate</bold>
        </title>
        <p>Calculation of dose rate is done to determine the rate of weekly dose (P) outside the wall in the actual wall thickness assuming concrete density 2.35 gr / cm<sup>3</sup>., And the dose limit for uncontrolled space is 0.01 mSv / week and for controlled space 0.2 mSv /Sunday. Based on the above equations, and entering the actual thickness value of the wall thickness to be built, dose estimates that will pass from each wall will be obtained as shown in the following table:</p>
        <p>
          <bold>Table 3. </bold>
          <bold>The dose rate after passing through each wall and the dosage limit values allowed</bold>
        </p>
        <table-wrap>
          <table>
            <tr>
              <td>
                <bold>Wall</bold>
              </td>
              <td>
                <bold>Wall Thickness (cm)</bold>
              </td>
              <td>
                <bold>Actual Conditions</bold>
              </td>
              <td>
                <bold>P (mSv/week)</bold>
              </td>
              <td>
                <bold>NBD (mSv/week)</bold>
              </td>
            </tr>
            <tr>
              <td>A</td>
              <td>82.6</td>
              <td>100</td>
              <td/>
              <td>1x10<sup>-2</sup></td>
            </tr>
            <tr>
              <td>A’</td>
              <td>74.9</td>
              <td>200</td>
              <td>1.82x10<sup>-8</sup>1.59x10<sup>-3</sup></td>
              <td>1x10<sup>-2</sup></td>
            </tr>
            <tr>
              <td>B</td>
              <td>73.4</td>
              <td>160</td>
              <td>1.06x10<sup>-6</sup></td>
              <td>1x10<sup>-2</sup></td>
            </tr>
            <tr>
              <td>B’</td>
              <td>71.2</td>
              <td>200</td>
              <td>1.23x10<sup>-8</sup></td>
              <td>1x10<sup>-2</sup></td>
            </tr>
            <tr>
              <td>C</td>
              <td>61.8</td>
              <td>50 cm concrete + 400 cm soil</td>
              <td>1.95x10<sup>-14</sup></td>
              <td>1x10<sup>-2</sup></td>
            </tr>
            <tr>
              <td>D</td>
              <td>53.6</td>
              <td>50 cm concrete + 6 cm Fe</td>
              <td>4.2x10<sup>-2</sup></td>
              <td>2x10<sup>-1</sup></td>
            </tr>
            <tr>
              <td>E</td>
              <td>38.9</td>
              <td>50 cm concrete + 10 cm Fe</td>
              <td>2.41x10<sup>-3</sup></td>
              <td>2x10<sup>-1</sup></td>
            </tr>
            <tr>
              <td>F</td>
              <td>50.8</td>
              <td>50 cm concrete + 6 cm Fe</td>
              <td>3.09x10<sup>-2</sup></td>
              <td>2x10<sup>-1</sup></td>
            </tr>
            <tr>
              <td>Roof</td>
              <td>72</td>
              <td>75</td>
              <td>7.26x10<sup>-3</sup></td>
              <td>1x10<sup>-2</sup></td>
            </tr>
          </table>
        </table-wrap>
      </sec>
    </sec>
    <sec id="sec-6"/>
    <sec id="sec-7">
      <title>
        <bold>Conclusions</bold>
      </title>
      <p>Shielding types that can be used for fixed installations are concrete and some are added with iron. The exposure dose rate in the observation area or outside the walls of the brakhitarapi aircraft room does not exceed the maximum dose limit set. The thickness of the retaining wall in the brachytherapy plane space of the Cobalt-60 source has met the minimum limit of retaining wall thickness in theory or literature.</p>
    </sec>
    <sec id="sec-8">
      <title>
        <bold>References</bold>
      </title>
      <list list-type="bullet">
        <list-item>
          <p>Hendaryah Soetanto, Dasar Proteksi Radiasi, Diktat Proteksi Radiasi Pusdiklat Batan.</p>
        </list-item>
        <list-item>
          <p>Herman Cember,introduction to Health Physics, 2nd ed, McGraw-Hill, Inc,1992.</p>
        </list-item>
        <list-item>
          <p>Herman Cember,Introduction to Health Physics, 3rd ed, McGraw-Hill, Inc, 1996.</p>
        </list-item>
        <list-item>
          <p>SK Dirjen BATAN No. 24/DJ/II/1983 Tentang Ketentuan Keselamatan Kerja dengan Radiasi.</p>
        </list-item>
        <list-item>
          <p>SK Ka. Bapeten No. 01/Ka-BAPETEN/V-1999 Tentang Keselamatan Kerja dengan Radiasi.</p>
        </list-item>
        <list-item>
          <p>SK Ka. Bapeten No. 21/Ka-BAPETEN/XII-02 Tentang Program Jaminan Kualitas Instalasi Radioterapi.</p>
        </list-item>
        <list-item>
          <p>Arthur B. Chilton, Principles of Radiation Shielding, Prentice-Hall, Inc, 1984.</p>
        </list-item>
        <list-item>
          <p>NCRP Report #49, Structural Shielding Design and Evaluation for Medical Use of X rays and Gamma Rays of Energies up to 10 MeV.</p>
        </list-item>
        <list-item>
          <p>IAEA TECDOC 691, 1991</p>
        </list-item>
      </list>
    </sec>
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