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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>SmartIndustry</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>A theoretical study: radiation shielding features of polymer materials*</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Hilal Macun Elmalı</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Evgen Martyn</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nilgün Baydoğan</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Istanbul Technical University, Energy Institute</institution>
          ,
          <addr-line>Ayazaga Campus, 34469, Istanbul</addr-line>
          ,
          <country country="TR">Türkiye</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Lviv State University of Life Safety</institution>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2025</year>
      </pub-date>
      <volume>2</volume>
      <fpage>03</fpage>
      <lpage>05</lpage>
      <abstract>
        <p>By using innovative approaches in material science and the artificial intelligence tools developed following these developments, it is possible to obtain information about materials that have not yet been produced or have only been produced as samples. Ionizing radiation is a type of radiation frequently used in industry and medicine, and its use requires taking precautions. These precautions consist of three rules: time, distance, and shielding. Within the scope of this study, the attenuation properties of polymeric materials using XCOM and PHY-X/PSD were investigated and compared, especially for shielding needs.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Ionizing radiation</kwd>
        <kwd>polymer</kwd>
        <kwd>attenuation</kwd>
        <kwd>XCOM</kwd>
        <kwd>PHY-X/PSD 1</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Analysis of data using geometric modeling and computer-aided graphics tools in industrial
areas reveals multivariate data structures that can form the basis of artificial intelligence
applications [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Based on this, the material properties of light shielding materials developed for
radiation protection in areas where ionizing radiation is used are determined using artificial
intelligence tools and various programs. Ionizing radiation shielding has been a very important
issue since the discovery of radiation in our lives. It is encountered in many different fields of work,
especially in the environment and living health, as well as in the protection of electronic devices
and space studies. Material development studies are being carried out to protect and preserve
human beings from cosmic/space radiation, which occurs with the peaceful use of ionizing
radiation and continues to exist naturally.The fact that polymer materials are open to development
due to their structure and can be strengthened by adding particles with different properties shows
that they are suitable for studies on weakening ionizing radiation. According to this reason, Poly
(methyl methacrylate) (PMMA) polymer was preferred as a base material. The PMMA polymers
have glassy properties, and their surface toughness is high. Especially, despite its high
transparency, it has high defiance to ultraviolet rays and weather conditions, and it can be easily
shaped under heat treatment are the reasons why PMMA polymer is preferred industrially [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. The
industrial areas where PMMA is of significant importance are quite diverse, especially in medical,
electronic devices, automotive, optics, and furniture [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. In this study, the linear attenuation
coefficient of the composite PMMA/Borax material obtained by adding Borax to the Polymethyl
methacrylate polymer was calculated using computer programs XCOM [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] and PHY-X/PSD [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] as a
result of the interaction with ionizing gamma radiation. The XCOM program calculates only the
mass attenuation coefficient, but the PHY-X/PSD is more practical than XCOM, as it calculates all
radiation shielding parameters quickly and accurately. This is where the difference between the
two programs comes from [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Materials</title>
      <p>
        Polymethyl methacrylate polymer, formed by the polymerization of methyl methacrylate
monomer, was supported by sodium decahydrate additive during the polymerization stage to
obtain polymethyl methacrylate-borax composite [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. This thermoplastic polymer-based composite
is expected to absorb ionizing radiation.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Theoretical Calculations</title>
      <p>
        The linear attenuation coefficient (LAC), mass attenuation coefficient© 2025 Copyright for this
paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International
(CC BY 4.0). (MAC), half value layer (HVL), and tenth value layer (TVL) of the base material
polymethyl methacrylate and PMMA/Borax composite were calculated. µ in the Lambert-Beer
equation [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] indicates the linear attenuation coefficient and its unit is (cm-1).
where, “I” is the intensity of gamma photons after the interaction, “I0” is the intensity
of gamma photons coming from the source and “x” is the thickness of the material.
Another way to define linear attenuation coefficient is the ratio of mass attenuation coefficient
(cm2/g) and material density (g/cm3).
      </p>
      <p>
        The other parameters half value layer and tenth value layer, represent material thicknesses
that reduce the intensity of incoming gamma photons by half and one-tenth [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Equations 2 and 3
are obtained from the Lambert-Beer equation modification.
      </p>
      <p>I = I 0 exp ( µx ) ,</p>
      <p>HVL= ln 2 ,</p>
      <p>µ
TVL= ln 10 ,
µ
(1)
(2)
(3)</p>
      <sec id="sec-3-1">
        <title>XCOM Program</title>
        <p>The XCOM program was developed with support from the National Institute of Standards and
Technology and calculates the mass attenuation coefficient depending on the material weight and
radiation energy.</p>
        <p>The above steps are repeated for all materials and radiation sources. In this above example, the
Cs-137 gamma source’s energy, 662 keV, was used. In addition to this example, the base PMMA,
and 7% Borax doped PMMA were used. Linear attenuation coefficient, HVL, TVL calculations, and
obtained from XCOM values are given next chapter.</p>
      </sec>
      <sec id="sec-3-2">
        <title>PHY-X/PSD Program</title>
        <p>The PHY-X/PSD program is more user-friendly than the XCOM program, and calculates all
parameters of shielding like linear attenuation coefficient, mass attenuation coefficient, half value,
and tenth value layer. This is a huge advantage for time-saving. Another difference between the
two programs is that in the PHY-X/PSD program, material density and weight fraction must be
given, while in the XCOM program, only the weight is important.</p>
        <p>The above steps run determining chemical formulas, density, weight fractions, and radiation
sources. Transferring the calculation outputs to Excel can be considered as another advantage. At
this point, transferring to Excel will make it easier to work on the results.
Energy MAC LAC HVL TVL
MeV cm²/g 1/cm cm cm
6,62E-01 Cs (137) 0,08310 0,09091 7,62436 25,32758
Figure 6: An example, PHY-X/PSD program Excel output for all parameters for 2% Borax doped
Poly (methyl methacrylate).</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Results</title>
      <p>4.1.</p>
      <sec id="sec-4-1">
        <title>Mass attenuation coefficient</title>
        <p>The mass attenuation coefficient gives information about the rate of photons removed per unit
mass from absorber materials. Let’s keep on the linear attenuation coefficient results.</p>
      </sec>
      <sec id="sec-4-2">
        <title>Linear attenuation coefficient</title>
        <p>The linear attenuation coefficient is a constant that describes the extent to intensity of the beam
decreases per unit of thickness. Both tables 2 and 3 show, that when the mass attenuation
coefficient increases by doped effect, the linear attenuation coefficient decreases or opposites.
4.3.</p>
      </sec>
      <sec id="sec-4-3">
        <title>Half value layer and tenth value layer</title>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusion</title>
      <p>(cm)</p>
      <p>
        When we look at the difference between the two programs, we can say that the differences do
not even reach the level of ten per thousand and these differences can be ignored, therefore the
programs are of a quality that replaces each other and even the PHY-X/PSD program is superior
due to its advantages. This comparative examination shows that both programs can be used
interchangeably and PMMA used as polymer and borax added can be used for gamma absorption.
Certainly, the actual values of these theoretically evaluated examples will vary. However, the
differences that are likely to be caused by many parameters such as material homogeneity, density,
and impurity are expected to be quite small. The study shows that the PHY-X program gives faster
results as an alternative to XCOM and GEANT-4 and that various results can be obtained with the
additive material added to a polymer material. It is obtained to evaluate the approximate results of
the composites to be produced before production by saving material. Geometric modeling has a
high potential as a tool to represent system behavior with minimal projection requirements. Such a
framework offers promising compatibility with artificial intelligence techniques aimed at
optimizing material-aware system performance [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. This study has emphasized that artificial
intelligence and various computer programs have great importance in contributing to materials
science and evaluating innovative approaches.
      </p>
      <p>Declaration on Generative AI
During the preparation of this study, the authors used Grammarly software to identify and correct
grammatical and spelling inaccuracies. Following this process, they undertook a meticulous review
of the text, made the requisite revisions, and accepted whole responsibility for the final content of
this publication.</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          [1]
          <string-name>
            <surname>Gumen</surname>
            ,
            <given-names>O.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Spodyniuk</surname>
            ,
            <given-names>N.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Ulewicz</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Martyn</surname>
            ,
            <given-names>Y.</given-names>
          </string-name>
          (
          <year>2017</year>
          ).
          <article-title>Research of thermal processes in industrial premises with energy-saving technologies of heating</article-title>
          .
          <source>Diagnostyka</source>
          ,
          <volume>18</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          [2]
          <string-name>
            <surname>Forte</surname>
            ,
            <given-names>M. A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Silva</surname>
            ,
            <given-names>R. M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Tavares</surname>
            ,
            <given-names>C. J.</given-names>
          </string-name>
          , &amp;
          <string-name>
            <surname>Silva</surname>
            ,
            <given-names>R. F. E.</given-names>
          </string-name>
          (
          <year>2021</year>
          ).
          <article-title>Is poly (Methyl Methacrylate) (PMMA) a suitable substrate for ALD?: A review</article-title>
          .
          <source>Polymers</source>
          ,
          <volume>13</volume>
          (
          <issue>8</issue>
          ), 1346. https://doi.org/10.3390/polym13081346
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          [3]
          <string-name>
            <surname>Mehranpour</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          (
          <year>2020</year>
          ).
          <article-title>Comparison of beta, neutron and gamma attenuation properties of pmma/colemanite composites</article-title>
          .
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          [4]
          <string-name>
            <surname>Berger</surname>
            ,
            <given-names>M.J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Hubbell</surname>
            ,
            <given-names>J.H.</given-names>
          </string-name>
          ,
          <year>1987</year>
          . XCOM: Photon Cross Sections Database,
          <source>Web Version 1</source>
          .2. National Institute of Standards and Technology, Gaithersburg, MD 20899, USA available at. http://physics.nist.gov/xcom.
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          [5]
          <string-name>
            <surname>Şakar</surname>
            ,
            <given-names>E.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Özpolat</surname>
            ,
            <given-names>Ö. F.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Alım</surname>
            ,
            <given-names>B.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Sayyed</surname>
            ,
            <given-names>M. I.</given-names>
          </string-name>
          , &amp;
          <string-name>
            <surname>Kurudirek</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          (
          <year>2020</year>
          ).
          <article-title>Phy-X/PSD: development of a user friendly online software for calculation of parameters relevant to radiation shielding and dosimetry</article-title>
          . Radiation Physics and Chemistry, 
          <volume>166</volume>
          , 
          <volume>108496</volume>
          . https:// doi.org/10.1016/j.radphyschem.
          <year>2019</year>
          .108496
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          [6]
          <string-name>
            <surname>Yigit</surname>
            ,
            <given-names>Y.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Gul</surname>
            ,
            <given-names>F. B.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Macun</surname>
            ,
            <given-names>C. H.</given-names>
          </string-name>
          , &amp;
          <string-name>
            <surname>Baydogan</surname>
            ,
            <given-names>N.</given-names>
          </string-name>
          (
          <year>2023</year>
          ).
          <article-title>Optical development and density modification dependence in poly (methyl methacrylate) reinforced with borax microparticles</article-title>
          .
          <source>Journal of Polymer Research</source>
          ,
          <volume>30</volume>
          (
          <issue>9</issue>
          ), 359. https://doi.org/10.1007/s10965-023-03746-y
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          [7]
          <string-name>
            <surname>Holburg</surname>
            ,
            <given-names>J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Figul</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Charvat</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Bluhm</surname>
            ,
            <given-names>H.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Abel</surname>
            ,
            <given-names>B.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Marowsky</surname>
            ,
            <given-names>G.</given-names>
          </string-name>
          , ... &amp;
          <string-name>
            <surname>Mann</surname>
            ,
            <given-names>K.</given-names>
          </string-name>
          (
          <year>2025</year>
          ).
          <article-title>Soft X‐Ray Absorption Spectroscopy With a Flat Liquid Jet in Vacuum Using a Table‐Top LaserInduced Plasma Source</article-title>
          .
          <article-title>X‐Ray Spectrometry</article-title>
          . https://doi.org/10.1002/xrs.3474
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation>
          [8]
          <string-name>
            <surname>Knoll</surname>
            ,
            <given-names>G. F.</given-names>
          </string-name>
          (
          <year>2010</year>
          ).
          <article-title>Radiation detection and measurement</article-title>
          . John Wiley &amp; Sons.
        </mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation>
          [9]
          <string-name>
            <surname>Humen</surname>
            ,
            <given-names>O. M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Liaskovska</surname>
            ,
            <given-names>S. Ye.</given-names>
          </string-name>
          , &amp;
          <string-name>
            <surname>Martyn</surname>
            ,
            <given-names>Ye. V.</given-names>
          </string-name>
          (
          <year>2018</year>
          ).
          <article-title>Sufficiency of projection images of 1-manifolds in n-dimensional state spaces of technical systems</article-title>
          .
          <source>Applied Issues of Mathematical Modelling, (1)</source>
          ,
          <fpage>58</fpage>
          -
          <lpage>67</lpage>
          .
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>