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<front>
  <journal-meta>
      <journal-id journal-id-type="publisher">Ciencia Digital</journal-id>
      <issn>2602-8085</issn>
      <publisher>
          <publisher-name>Ciencia Digital Editorial</publisher-name>
      </publisher>
  </journal-meta>
  <article-meta>
      <article-id pub-id-type="publisher-id">3</article-id>
      <article-id pub-id-type="other">v8n3-3</article-id>
      <article-categories>
          <subj-group>
              <subject>Multidisciplinar</subject>
          </subj-group>
      </article-categories>
      <title-group>
          <article-title>Molecular optimization in fluid catalytic cracking process: cartesian coordinate analysis for enhancing efficiency and quality in crude oil refining</article-title>
          <article-title xml:lang="en">Optimización molecular en el proceso de fluid catalytic cracking: análisis de coordenadas cartesianas para mejora de eficiencia y calidad en la refinación de crudo</article-title>
      </title-group>
    <contrib-group>
        <contrib contrib-type="author">
            <name name-style="western">
                <surname>Sandra Elizabeth </surname>
                <given-names>Trávez Osorio</given-names>
            </name>
            <xref ref-type="aff" rid="aff1">1</xref>
            <xref ref-type="fn" rid="conf1"/>
            <xref ref-type="corresp" rid="cor1"/>
        </contrib>
        <contrib contrib-type="author">
            <name name-style="western">
                <surname>Nancy Orlheni</surname>
                <given-names>Nacimba Rivera</given-names>
            </name>
            <xref ref-type="aff" rid="aff2">2</xref>
            <xref ref-type="fn" rid="conf2"/>
            <xref ref-type="corresp" rid="cor2"/>
        </contrib>
        <contrib contrib-type="author">
            <name name-style="western">
                <surname>Milton Javier</surname>
                <given-names>Robalino Cacuango</given-names>
            </name>
            <xref ref-type="aff" rid="aff3">3</xref>
            <xref ref-type="fn" rid="conf3"/>
            <xref ref-type="corresp" rid="cor3"/>
        </contrib>
        <contrib contrib-type="author">
            <name name-style="western">
                <surname>Alex Santiago</surname>
                <given-names>Moreno Corrales</given-names>
            </name>
            <xref ref-type="aff" rid="aff4">4</xref>
            <xref ref-type="fn" rid="conf4"/>
            <xref ref-type="corresp" rid="cor4"/>
        </contrib>
      
      <aff id="aff1">
        <institution content-type="dept">Independent researcher</institution>
        <addr-line>
          <named-content content-type="city"></named-content>
        </addr-line>
        <country></country>
      </aff>
      <aff id="aff2">
        <institution content-type="dept">Independent researcher</institution>
        <addr-line>
          <named-content content-type="city"></named-content>
        </addr-line>
        <country></country>
      </aff>
      <aff id="aff3">
        <institution content-type="dept">Departamento de Ciencias de la Energía y Mecánica, Carrera de Petroquímica, Campus Académico General Guillermo Rodríguez Lara, Universidad de las Fuerzas Armadas—ESPE sede Latacunga, Belisario Quevedo, Latacunga, Cotopaxi 050150, Ecuador</institution>
        <addr-line>
          <named-content content-type="city">Latacunga</named-content>
        </addr-line>
        <country>Ecuador </country>
      </aff>
      <aff id="aff4">
        <institution content-type="dept">Independent researcher </institution>
        <addr-line>
          <named-content content-type="city"></named-content>
        </addr-line>
        <country></country>
      </aff>
      
    </contrib-group>

    <author-notes>
      <corresp id="cor1">
        <email>sandt197@gmail.com</email>
      </corresp>
      <corresp id="cor2">
        <email>nacimba.nancygr12@gmail.com </email>
      </corresp>
      <corresp id="cor3">
        <email>mjrobalino1@espe.edu.ec</email>
      </corresp>
      <corresp id="cor4">
        <email>asmoreno354@gmail.com</email>
      </corresp>
    </author-notes>

    <pub-date date-type="pub" iso-8601-date="2024-05-07" publication-format="print">
      <day>05</day>
      <month>07</month>
      <year>2024</year>
    </pub-date>
    <volume>8</volume>
    <issue>3</issue>
    <elocation-id>e020126</elocation-id>
    <permissions>
        <copyright-statement>© 2020 Ciencia Digital Editorial</copyright-statement>
        <copyright-year>2020</copyright-year>
        <copyright-holder></copyright-holder>
        <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
          <license-p>This article is distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License</ext-link>, which permits unrestricted use and redistribution provided that the original author and source are credited.</license-p>
        </license>
    </permissions>
    <abstract abstract-type="section">
      <title>Abstract</title>
      <sec>
        <p>Introduction: In crude oil refining, the Fluid Catalytic Cracking (FCC) process converts crude oil into high-quality petrochemical products. Understanding molecular interactions in FCC is crucial for optimization, efficiency, and quality purposes. This quantitative and descriptive study analyzes Cartesian coordinates of key compounds, employing computational chemistry for this purpose. Methodology: Quantitative and descriptive. Through a literature review, typical chemical compounds feeding into the FCC process were identified, including paraffins, olefins, aromatics, and naphthenes among others. These compounds were processed using computational chemistry to obtain their 3D coordinates, optimizing their molecular geometry to represent the real structure, ensuring reliable data accuracy in subsequent simulations and analysis. Analysis and Discussion of Results: Cartesian coordinates aid in understanding and identifying optimal operating conditions, enhancing the comprehension of molecular interactions in real time and facilitating the prediction of separation behaviors. These coordinates are envisaged to optimize crude oil refining processes in FCC, through modeling and visualization of atomic-level movements and collisions. Conclusions: Optimizing molecular geometry using the appropriate force field is crucial for obtaining precise Cartesian coordinates. These coordinates enable the simulation of molecular interactions at the atomic level, design of more efficient catalysts, and optimization of refining processes. Additionally, real-time monitoring with accurate molecular data could ensure consistent product quality in FCC.</p>
      </sec>
    </abstract>
    <trans-abstract abstract-type="section" xml:lang="es">

      <title>Resúmen</title>
      <sec>
        <p>Introducción: En el refinado de petróleo crudo, el proceso de craqueo catalítico fluido (FCC) convierte el petróleo crudo en productos petroquímicos de alta calidad. Comprender las interacciones moleculares en FCC es crucial para fines de optimización, eficiencia y calidad. Este estudio cuantitativo y descriptivo analiza las coordenadas cartesianas de compuestos clave, empleando química computacional para este propósito. Metodología: Cuantitativa y descriptiva. A través de una revisión de la literatura, se identificaron compuestos químicos típicos que alimentan el proceso de FCC, incluidas parafinas, olefinas, aromáticos y naftenos, entre otros. Estos compuestos se procesaron mediante química computacional para obtener sus coordenadas 3D, optimizando su geometría molecular para representar la estructura real, garantizando una precisión confiable de los datos en simulaciones y análisis posteriores. Análisis y discusión de resultados: Las coordenadas cartesianas ayudan a comprender e identificar las condiciones operativas óptimas, mejorando la comprensión de las interacciones moleculares en tiempo real y facilitando la predicción de comportamientos de separación. Estas coordenadas están previstas para optimizar los procesos de refino de crudo en FCC, mediante la modelización y visualización de movimientos y colisiones a nivel atómico. Conclusiones: La optimización de la geometría molecular utilizando el campo de fuerza apropiado es crucial para obtener coordenadas cartesianas precisas. Estas coordenadas permiten la simulación de interacciones moleculares a nivel atómico, el diseño de catalizadores más eficientes y la optimización de procesos de refinado. Además, el monitoreo en tiempo real con datos moleculares precisos podría garantizar una calidad constante del producto en FCC.</p>
      </sec>

    </trans-abstract>

    <kwd-group kwd-group-type="author-keywords">
      <title>Keywords</title>
      <kwd>Cartesian coordinates</kwd>
      <kwd>Fluid Catalytic Cracking (FCC)</kwd>
      <kwd>refinery</kwd>
      <kwd>computational chemistry</kwd>
      <kwd>optimization energy</kwd>
    </kwd-group>
  </article-meta>
</front>
<body>


<sec>
  <title>Introduction:</title>
  <p>Crude oil refining is a complex process that involves transforming
  crude oil into high-quality petrochemical products. At the core of
  this refining process lies Fluid Catalytic Cracking (FCC), which
  enables the production of high-demand fuels and chemicals. However,
  understanding the molecular interactions within this process is
  crucial for optimizing efficiency and product quality.</p>
  <p>In this context, there is a growing need to increase the yield of
  refinery products, such as LPG, gasoline, and other high-octane
  products, in both national and international markets. Consequently,
  there is a demand to contribute to scientific development through
  theoretical-computational studies of chemical species reported in
  various bibliographic sources.</p>
  <p>How can the Cartesian coordinates of molecules influence the
  optimization of crude oil refining processes?</p>
  <p>The objective of this article is to analyze the Cartesian
  coordinates of key compounds in the FCC process and explore their
  implications for process optimization and understanding molecular
  interactions. Understanding the Cartesian coordinates of molecules is
  crucial for comprehending how molecules interact in the FCC process,
  thereby enabling the optimization of efficiency and product quality.
  Additionally, molecular dynamics simulations allow us to predict how
  molecules interact with each other, facilitating the modeling and
  visualization of these atomic-level movements and collisions. This
  knowledge is vital for understanding how molecules transform during
  catalytic processes, allowing for precise simulations of the chemical
  reactions that occur during crude oil refining.</p>
  <p>The justification for this study lies in the importance of
  understanding the Cartesian coordinates of molecules to comprehend how
  they interact in the FCC process, thereby enabling the optimization of
  efficiency and product quality. The methodology used in this study is
  quantitative and descriptive, relying on the compilation and analysis
  of data through a comprehensive literature review and subsequent
  analysis using computational chemistry techniques.</p>
  <p>This approach aims to yield relevant results for identifying and
  analyzing the Cartesian coordinates of key compounds in the FCC
  process, thus generating information on how to optimize efficiency and
  the quality of the final product. The aim is to contribute to the
  existing knowledge in the field of crude oil refining by presenting a
  detailed analysis of the Cartesian coordinates of key compounds in the
  FCC process.</p>
</sec>

<sec>
  <title>Methodology </title>
  <p><bold>Chemical Compound Identification</bold></p>
  <p>Through bibliographic research, typical chemical components found
  in the feed streams to the FCC process have been identified. According
  to the blend of light and heavy gas oil known as Vacuum Gas Oil (VGO),
  it is used as the feed stream to FCC catalytic plants to produce
  high-octane gasoline. Additionally, the feed includes paraffins,
  olefins, aromatics, and naphthenes, each of which is fed to its
  corresponding E-Cat D catalyst at the appropriate temperature.
  <xref ref-type="bibr" rid="bib10">(Sadeghbeigi, 2020)</xref> .</p>
  <p>The raw materials for feeding the FCC unit for vacuum gas oil and
  atmospheric residue consist of sulfur, nitrogen, nickel, and vanadium
  residues, each in different weight percentages. The feed stream to the
  FCC process, Vacuum Gas Oil B (VGB-B), with E-Cat D catalyst at a
  temperature of 500°C, includes paraffins ranging from methane (CH4) to
  dodecane (C12H26), iso-butane, iso-pentane, iso-hexane, iso-heptane,
  iso-octane, iso-nonane, and iso-decane, as well as paraffins from
  carbon 20-27 in various weight percentages. Olefins range from
  ethylene (C2H4) to decene (C10H20). Aromatics such as benzene,
  toluene, and C8H8 aromatics are present, each in different weight
  percentages. For the feeds of FCC for Light Cycle Oil (LCO) and VGO,
  benzene, decalin, tetralin, naphthalene, 1-phenyloctane, biphenyl,
  fluorene, 9,10-dihydrophenanthrene, phenanthrene, pyrene, and
  benzo(a)anthracene are present, all ranging between 98 and 99% in
  weight (Chiluisa Cando, 2021) <xref ref-type="bibr" rid="bib8">(Nazarova y otros, 2022)</xref>.</p>
  <p>Similarly, naphthenes with feed positions to the FCC unit include
  cyclopentane, cyclohexene, 1,1,2-trimethylcyclopentane, phenanthrene,
  cyclopentyl methyl ether, cyclohexane, and methylcyclohexane <xref ref-type="bibr" rid="bib12">(Stratiev
  y otros, 2023)</xref>. Additionally, the author (Chiluisa Cando, 2021) also
  reports bromobenzene, fluorobenzene, methylbenzene, nitrobenzene,
  hydroxybenzene, vinylbenzene, tert-butylbenzene, 1,2-dichlorobenzene,
  1-Bromo-3-nitrobenzene, 1-ethyl-4-isopropylbenzene,
  1-ethyl-2-methylbenzene, 1-ethyl-3-methylbenzene, 1,4-dimethylbenzene,
  1-bromo-2,3-dimethylbenzene, and 1,2,4-trinitrobenzene.</p>
  <p><bold>Computational chemistry information processing</bold></p>
  <p>Through computational chemistry data processing, each molecule was
  processed to individually obtain the 3D coordinates of the chemical
  compounds. Initially, these coordinates are unoptimized. This was
  achieved using Avogadro, which is an advanced molecule editor and
  visualizer software designed for multi-platform use in computational
  chemistry <xref ref-type="bibr" rid="bib1">(Avogadro, 2024)</xref>.</p>
  <p>Initially, the generation of chemical structures in 2D was carried
  out using <xref ref-type="bibr" rid="bib4">(ChemDraw, 2024)</xref> , which in computational chemistry is known
  for its efficiency, precision, and aesthetic appeal in chemical
  drawing. This program was chosen because it reduces errors in drawing,
  analyzing, and documenting the complex chemical structures presented
  in this study. To generate a chemical structure in 2D, the following
  steps were followed: using &quot;Convert Name to Structure&quot;
  within the Structure menu of ChemDraw, the name of the chemical
  compound in English was entered. As a result, the molecule was
  generated in line-angle format along with its English name. Once saved
  from ChemDraw in .mol format, the document was then opened in the
  Avogadro software.</p>


  <p></p>


  <p><xref ref-type="fig" rid="fig1"><bold>Figure 1. </bold><italic>Processing of styrene molecule in computational chemistry.</italic></xref></p>

    <fig id="fig1">
      <object-id pub-id-type="doi"/>
      <label><bold>Figure 1. </bold><italic>Processing of styrene molecule in computational chemistry.</italic></label>
      <graphic xlink:href="https://cienciadigital.org/revistacienciadigital2/index.php/CienciaDigital/article/download/3079/8338/13816"/> 
    </fig>


  <p><xref ref-type="bibr" rid="bib1">(Avogadro, 2024)</xref> It is an open-source and free-to-use software that
  allows for the creation and visualization of molecular structures in
  3D. Since this study was conducted using computational chemistry, this
  program proved to be a useful tool. Additionally, it enables the
  visualization of chemical structures from any angle. To obtain the
  Cartesian coordinates of each chemical compound, the Gaussian
  extension tool was selected from the Avogadro toolbar. This provided
  the unoptimized Cartesian coordinates (3D) of the analyzed chemical
  compound.</p>


  <p></p>
  <p><xref ref-type="fig" rid="fig2"><bold>Figure 2. </bold><italic>Non-optimised 3D octane coordinates</italic></xref></p>

        <fig id="fig2">
            <object-id pub-id-type="doi"/>
            <label><bold>Figure 2. </bold><italic>Non-optimised 3D octane coordinates</italic></label>
            <graphic xlink:href="https://cienciadigital.org/revistacienciadigital2/index.php/CienciaDigital/article/download/3079/8338/13817"/> 
        </fig>

    <title><bold>Why should the molecule be optimised?</bold></title>
    <p>Gaussian calculations have various applications, including
    single-point energy calculations, optimization, and stability, among
    others <xref ref-type="bibr" rid="bib3">(Chaurand Padilla y otros, 2022)</xref>. Since this study will focus
    on molecule optimization, it delves into said optimization prior to
    obtaining their Cartesian coordinates. The importance lies in the
    fact that molecules are not always in the most stable geometry, so
    it is crucial to ensure that their spatial arrangement is accurate
    and represents the real molecular geometry <xref ref-type="bibr" rid="bib9">(Paniagua &amp; Mota,
    2008)</xref> . On the other hand <xref ref-type="bibr" rid="bib8">(San Fabián, 2023)</xref> mentions that molecule
    optimization involves adjusting the positions of atoms to minimize
    the total energy of the molecule, ensuring that the geometry is the
    most stable and representative of the analyzed chemical
    compound.</p>
    <p>The equilibrium geometry is the configuration in which the
    molecule's energy is minimized, and this is considered the real
    geometry of the molecule. Without optimizing the molecule, the
    Cartesian coordinates may not reflect the real geometry, leading to
    errors in the calculations and subsequent analysis of the analyzed
    chemical compound <xref ref-type="bibr" rid="bib3">(Chaurand Padilla y otros, 2022)</xref> <xref ref-type="bibr" rid="bib8">(San Fabián, 2023)</xref> <xref ref-type="bibr" rid="bib9">(Paniagua &amp; Mota,
    2008)</xref>. Therefore, in the Avogadro
    toolbar, the AutoOptimization Setting was selected, and the force
    field was chosen to initiate this calculation, which may take
    seconds or a few minutes depending on the molecule being analyzed.
    For instance, in the case of cyclopentane, this analysis took
    several minutes to complete.</p>
    <p><bold>Why the choice of force field?</bold></p>
    <p>The choice of a force field for energy optimization in molecules
    is crucial in computational chemistry, considering that force fields
    are mathematical models that describe the forces and energy
    interactions between atoms and molecules in a system <xref ref-type="bibr" rid="bib6">(Grabowski,
    2020)</xref>. Furthermore <xref ref-type="bibr" rid="bib7">(Jorgensen &amp; Tirado-Rives, 2005)</xref>, selecting
    the appropriate force field ensures accuracy and realism in
    representing molecular interactions, optimizes molecular geometry,
    enables realistic dynamic simulations, facilitates the calculation
    of energetic and thermodynamic properties, and effectively handles
    the complexity of large systems <xref ref-type="bibr" rid="bib13">(Vangunsteren &amp; Berendsen,
    1990)</xref>.</p>

    <title>What is the force field for hydrocarbon analysis??</title>
    <p>he choice of the appropriate force field depends on the chemical
    nature of the molecule being optimized. For hydrocarbon analysis,
    the Merck Molecular Force Field (MMFF94) is commonly used <xref ref-type="bibr" rid="bib1">(Avogadro,
    2024)</xref>, as this model optimizes the geometry of organic compound
    molecules. The MMFF94 has been specifically parameterized for
    alkanes, alkenes, alcohols, phenols, ethers, aldehydes, ketones,
    etc. Although the Universal Force Field (UFF) reproduces the most
    important structural characteristics across the periodic table and
    optimizes geometry for all elements, including inorganic and
    organometallic materials. In this study, the MMFF94 was utilized for
    the analysis of the mentioned hydrocarbons.</p>
    <p>Furthermore, the General AMBER Force Field (GAFF) model is
    employed for optimizing the geometries of drugs, while Assisted
    Model Building with Energy Refinement (AMBER) is used for protein
    analysis. <xref ref-type="bibr" rid="bib1">(Avogadro, 2024)</xref>.</p>

    
    <p><bold>Figure 3</bold></p>
    <p><italic>Optimized Styrene Spatial Arrangement</italic></p>
    <graphic mimetype="image" mime-subtype="png" xlink:href="vertopal_41aec857a2d349e4a1f7ee571cadbd34/media/image7.png" />

</sec>
<sec>
  <title>RESULTS</title>
  <p>For the paraffins fed into the FCC process, the coordinates of
  isobutane and octane are presented, respectively.</p>
  <p></p>


  <p><xref ref-type="table" rid="t1"><bold>Table 1. </bold><italic>Optimized molecule of isobutane and octane</italic></xref></p>

    <table-wrap id="t1">
      <label><bold>Table 1. </bold><italic>Optimized molecule of isobutane and octane</italic></label>
      <table>
        <colgroup>
        <col width="25%" />
        <col width="25%" />
        <col width="25%" />
        <col width="25%" />
        </colgroup>
        <thead>
        <tr>
          <th colspan="4">Optimised isobutane molecule</th>
        </tr>
        <tr>
          <th>Atom</th>
          <th>Axis X</th>
          <th>Axis Y</th>
          <th>Axis Z</th>
        </tr>
        </thead>
        <tbody>
          <tr>
            <td>C</td> 
            <td>0.88820</td> 
            <td>0.00508</td> 
            <td>0.02995</td>
          </tr>
          <tr>
            <td>C</td> 
            <td>2.41498</td> 
            <td>-0.00393</td> 
            <td>0.00094</td>
          </tr>
          <tr>
            <td>C</td> 
            <td>2.93829</td> 
            <td>-1.40974</td> 
            <td>-0.28513</td>
          </tr>
          <tr>
            <td>C</td> 
            <td>2.93813</td> 
            <td>0.98548</td> 
            <td>-1.03797</td>
          </tr>
          <tr>
            <td>H</td> 
            <td>0.51003</td> 
            <td>-0.68214</td> 
            <td>0.79416</td>
          </tr>
          <tr>
            <td>H</td> 
            <td>0.46936</td> 
            <td>-0.29844</td> 
            <td>-0.93561</td>
          </tr>
          <tr>
            <td>H</td> 
            <td>0.50991</td> 
            <td>1.00590</td> 
            <td>0.26358</td>
          </tr>
          <tr>
            <td>H</td> 
            <td>2.78062</td> 
            <td>0.30618</td> 
            <td>0.98749</td>
          </tr>
          <tr>
            <td>H</td> 
            <td>2.60076</td> 
            <td>-1.76937</td> 
            <td>-1.26318</td>
          </tr>
          <tr>
            <td>H</td> 
            <td>2.58859</td> 
            <td>-2.11661</td> 
            <td>0.47471</td>
          </tr>
          <tr>
            <td>H</td> 
            <td>4.03328</td> 
            <td>-1.42567</td> 
            <td>-0.27793</td>
          </tr>
          <tr>
            <td>H</td> 
            <td>2.60059</td> 
            <td>0.72086</td> 
            <td>-2.04589</td>
          </tr>
          <tr>
            <td>H</td> 
            <td>4.03312</td> 
            <td>1.00281</td> 
            <td>-1.04123</td>
          </tr>
          <tr>
            <td>H</td> 
            <td>2.58831</td> 
            <td>1.99991</td> 
            <td>-0.81917</td>
          </tr>
          <tr>
          <td>C</td> 
          <td>0,84430</td> 
          <td>-0,00360</td> 
          <td>0,02940</td>
        </tr>
        <tr>
          <td>C</td> 
          <td>2,36450</td> 
          <td>0,01060</td>  
          <td>0,01190</td>
        </tr>
        <tr>
          <td>C</td> 
          <td>2,90350</td> 
          <td>0,91290</td>  
          <td>-1,09790</td>
        </tr>
        <tr>
          <td>C</td> 
          <td>4,43290</td> 
          <td>0,92440</td>  
          <td>-1,11200</td>
        </tr>
        <tr>
          <td>C</td> 
          <td>4,97240</td> 
          <td>1,82730</td>  
          <td>-2,22260</td>
        </tr>
        <tr>
          <td>C</td> 
          <td>6,50180</td> 
          <td>1,83890</td>  
          <td>-2,23670</td>
        </tr>
        <tr>
          <td>C</td> 
          <td>7,04080</td> 
          <td>2,74110</td>  
          <td>-3,34660</td>
        </tr>
        <tr>
          <td>C</td> 
          <td>8,56100</td> 
          <td>2,75540</td>  
          <td>-3,36400</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>0,48060</td> 
          <td>-0,65480</td> 
          <td>0,83030</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>0,44460</td> 
          <td>-0,37600</td> 
          <td>-0,91920</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>0,44450</td> 
          <td>1,00100</td>  
          <td>0,20030</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>2,73210</td> 
          <td>-1,01260</td> 
          <td>-0,12840</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>2,73200</td> 
          <td>0,35690</td>  
          <td>0,98490</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>2,52960</td> 
          <td>1,93410</td> 
          <td>-0,95520</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>2,52960</td> 
          <td>0,56470</td> 
          <td>-2,06850</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>4,80660</td> 
          <td>-0,09680</td> 
          <td>-1,25490</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>4,80660</td> 
          <td>1,27280</td> 
          <td>-0,14140</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>4,59860</td> 
          <td>2,84860</td> 
          <td>-2,07980</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>4,59870</td> 
          <td>1,47900</td> 
          <td>-3,19320</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>6,87580</td> 
          <td>0,81770</td> 
          <td>-2,37940</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>6,87570</td> 
          <td>2,18710</td> 
          <td>-1,26620</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>6,67320</td> 
          <td>3,76430</td> 
          <td>-3,20630</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>6,67330</td> 
          <td>2,39480</td> 
          <td>-4,31960</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>8,96070</td> 
          <td>3,12790</td> 
          <td>-2,41540</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>8,92480</td> 
          <td>3,40650</td> 
          <td>-4,16500</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>8,96080</td> 
          <td>1,75080</td> 
          <td>-3,53480</td>
        </tr>
        </tbody>
      </table>
    </table-wrap>


  <p>From the olefin stream feeding into the catalytic cracking process,
  propylene has been selected.</p>

  <p></p>

<p><xref ref-type="table" rid="t2"><bold>Table 2. </bold><italic>Cartesian coordinates of propylene.</italic></xref></p>

    <table-wrap id="t2">
      <label><bold>Table 2. </bold><italic>Cartesian coordinates of propylene.</italic></label>
      <table>
      <colgroup>
        <col width="25%" />
        <col width="25%" />
        <col width="25%" />
        <col width="25%" />
      </colgroup>
      <thead>
        <tr>
          <th colspan="4">Molécula optimizada de propeno</th>
        </tr>
        <tr>
          <th><bold>Atom</bold></th>
          <th><bold>Axis x</bold></th>
          <th><bold>Axis y</bold></th>
          <th><bold>Axis z</bold></th>
        </tr>
      </thead>
      <tbody>
        <tr>
          <td>C</td> 
          <td>0,98040</td> 
          <td>0,01740</td> 
          <td>0,10550</td>
        </tr>
        <tr>
          <td>C</td> 
          <td>2,47390</td> 
          <td>0,01880</td> 
          <td>0,11420</td>
        </tr>
        <tr>
          <td>C</td> 
          <td>3,20030</td> 
          <td>0,20230</td> 
          <td>1,22710</td>
        </tr>
        <tr>
          <td>C</td>
          <td>4,69390</td> 
          <td>0,20760</td> 
          <td>1,25910</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>0,61420</td> 
          <td>-0,15040</td> 
          <td>-0,91250</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>0,58670</td> 
          <td>0,97920</td> 
          <td>0,44800</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>0,58670</td> 
          <td>-0,78360</td> 
          <td>0,73860</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>2,97070</td> 
          <td>-0,13860</td> 
          <td>-0,84040</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>2,69680</td> 
          <td>0,35920</td> 
          <td>2,17880</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>5,12990</td> 
          <td>0,04430</td> 
          <td>0,26850</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>5,05490</td> 
          <td>-0,58170</td> 
          <td>1,92550</td>
        </tr>
        <tr>
          <td>H</td> 
          <td>5,05490</td> 
          <td>1,16910</td> 
          <td>1,63680</td>
        </tr>
      </tbody>
    </table>
  </table-wrap>

  

  <p>Representative of aromatic compounds is presented in the Cartesian
  coordinates of benzene and styrene.</p>


  <p><bold>Table 3</bold><italic>3D Cartesian coordinates of benzene and styrene</italic></p>
  <table-wrap>
    <table>
      <colgroup>
        <col width="12.5%" />
        <col width="12.5%" />
        <col width="12.5%" />
        <col width="12.5%" />
        <col width="12.5%" />
        <col width="12.5%" />
        <col width="12.5%" />
        <col width="12.5%" />
        <col width="12.5%" />
      </colgroup>
      <thead>
        <tr>
          <th colspan="8"><bold>Optimised molecule</bold></th>
        </tr>
        <tr>
          <th colspan="4"><bold>Benzene</bold></th>
          <th colspan="4"><bold>Styrene</bold></th>
        </tr>
        <tr>
          <th>Atom</th>
          <th>Axis x</th>
          <th>Axis y</th>
          <th>Axis z</th>
          <th>Atom</th>
          <th>Axis x</th>
          <th>Axis y</th>
          <th>Axis z</th>
        </tr>
      </thead>
      <tbody>
        
        <tr>
          <td>C</td> <td>-0.76191</td> <td> 1.17879</td> <td>-0.00445</td>
          <td>C</td> <td>-1.39352</td> <td> -0.06483</td> <td>-0.00378</td>
        </tr>
        <tr>
          <td>C</td> <td>-0.63232</td> <td> -1.23364</td> <td>-0.00582</td>
          <td>C</td> <td>0.76049 </td> <td>-1.15882</td> <td>-0.00852</td>
        </tr>
        <tr>
          <td>C</td> <td>1.39211 </td> <td>0.08480</td> <td>-0.00919</td>
          <td>C</td> <td>0.63091 </td> <td>1.25361</td> <td>-0.00716</td>
        </tr>
        <tr>
          <td>H</td> <td>-1.35497</td> <td> 2.08942</td> <td>-0.00287</td>
          <td>H</td> <td>-2.47868</td> <td> -0.12313</td> <td>-0.00168</td>
        </tr>
        <tr>
          <td>H</td> <td>-1.12442</td> <td> -2.20257</td> <td>-0.00529</td>
          <td>H</td> <td>1.35356 </td> <td>-2.06946</td> <td>-0.01011</td>
        </tr>
        <tr>
          <td>C</td> <td>1.07396 </td> <td>-0.39151</td> <td>0.14829</td>
          <td>C</td> <td>2.17773 </td> <td>0.27468</td> <td>-0.21451</td>
        </tr>
        <tr>
          <td>C</td> <td>2.89018 </td> <td>0.08040</td> <td>-1.48472</td>
          <td>C</td> <td>3.53569 </td> <td>1.17648</td> <td>-2.07260</td>
        </tr>
        <tr>
          <td>C</td> <td>4.24873 </td> <td>1.02908</td> <td>-3.26537</td>
          <td>C</td> <td>4.33389 </td> <td>-0.21939</td> <td>-3.87721</td>
        </tr>
        <tr>
          <td>C</td> <td>3.71074 </td> <td>-1.32081</td> <td>-3.29475</td>
          <td>C</td> <td>2.99694 </td> <td>-1.17280</td> <td>-2.10221</td>
        </tr>
        <tr>
          <td>H</td> <td>0.59741 </td> <td>-0.18466</td> <td>1.10148</td>
          <td>H</td> <td>0.60680 </td> <td>-1.13713</td> <td>-0.48637</td>
        </tr>
        <tr>
          <td>H</td> <td>2.47727</td> <td>0.14309</td> <td>-0.01130</td>
          <td>H</td> <td>1.12301</td> <td>2.22253</td> <td>-0.00768</td>
        </tr>
        <tr>
          <td>H</td> <td>2.58357</td> <td>1.03246</td> <td>0.45192</td>
          <td>H</td> <td>3.48122</td> <td>2.15971</td> <td>-1.61084</td>
        </tr>
        <tr>
          <td>H</td> <td>4.73772</td> <td>1.88947</td> <td>-3.71450</td>
          <td>H</td> <td>4.88933</td> <td>-0.33505</td> <td>-4.80411</td>
        </tr>
        <tr>
          <td>H</td> <td>3.78350</td> <td>-2.29819</td> <td>-3.76442</td>
          <td>H</td> <td>2.53569</td> <td>-2.05050</td> <td>-1.65687</td>
        </tr>
      </tbody>
    </table>
  </table-wrap>



  <p>Cyclopentane has been chosen for the naphthenes</p>
  <p></p>
  <p><xref ref-type="table" rid="t4"><bold>Table 4. </bold><italic>Optimised coordinates of the optimised cyclopentane molecule</italic></xref></p>

    <table-wrap id="t4">
      <label><bold>Table 4. </bold><italic>Optimised coordinates of the optimised cyclopentane molecule</italic></label>
      <table>
      <colgroup>
        <col width="24%" />
        <col width="26%" />
        <col width="26%" />
        <col width="24%" />
      </colgroup>
      <thead>
        <tr>
          <th colspan="4">Molécula optimizada de ciclopentano</th>
        </tr>
        <tr>
          <th>Atom</th>
          <th>Axis x</th>
          <th>Axis y</th>
          <th>Axis z</th>
        </tr>
      </thead>
      <tbody>
        
        <tr>
          <td>C</td> <td>-0.79462</td> <td>-0.99232</td> <td>-0.13821</td>
        </tr>
        <tr>
          <td>C</td> <td>0.72550</td> <td>-1.05298</td> <td>0.00185</td>
        </tr>
        <tr>
          <td>C</td> <td>1.20335</td> <td>0.39253</td> <td>0.12994</td>
        </tr>
        <tr>
          <td>C</td> <td>0.00632</td> <td>1.24828</td> <td>-0.25510</td>
        </tr>
        <tr>
          <td>C</td> <td>-1.17664</td> <td>0.43179</td> <td>0.23498</td>
        </tr>
        <tr>
          <td>H</td> <td>-1.29800</td> <td>-1.73278</td> <td>0.49065</td>
        </tr>
        <tr>
          <td>H</td> <td>-1.07619</td> <td>-1.19392</td> <td>-1.17871</td>
        </tr>
        <tr>
          <td>H</td> <td>1.17051</td> <td>-1.54138</td> <td>-0.87185</td>
        </tr>
        <tr>
          <td>H</td> <td>1.01893</td> <td>-1.63169</td> <td>0.88443</td>
        </tr>
        <tr>
          <td>H</td> <td>2.07563</td> <td>0.59714</td> <td>-0.49812</td>
        </tr>
        <tr>
          <td>H</td> <td>1.48803</td> <td>0.59476</td> <td>1.16947</td>
        </tr>
        <tr>
          <td>H</td> <td>-0.03909</td> <td>1.36684</td> <td>-1.34416</td>
        </tr>
        <tr>
          <td>H</td> <td>0.04387</td> <td>2.24343</td> <td>0.19695</td>
        </tr>
        <tr>
          <td>H</td> <td>-2.11907</td> <td>0.74349</td> <td>-0.22408</td>
        </tr>
        <tr>
          <td>H</td> <td>-1.27706</td> <td>0.52371</td> <td>1.32293</td>
        </tr>
      </tbody>
    </table>
  </table-wrap>

  <p>The raw materials for the feed to the FCC unit for vacuum gas oil
  and atmospheric residue are presented in 3D coordinates of nitrogen
  and nickel and vanadium.</p>


  <p><bold>Table 5</bold></p>
  <p><italic>3D coordinates of nitrogen, nickel and
  vanadium.</italic></p>
  <table-wrap>
    <table>
      <colgroup>
        <col width="24%" />
        <col width="26%" />
        <col width="26%" />
        <col width="24%" />
      </colgroup>
      <thead>
        <tr>
          <th colspan="4">Optimised nitrogen molecule</th>
        </tr>
        <tr>
          <th>Atom</th>
          <th>Axis x</th>
          <th>Axis y</th>
          <th>Axis z</th>
        </tr>
      </thead>
      <tbody>
        
        <tr>
          <td>N</td> <td>0,86180</td> <td>-0,03060</td> <td>0,08760</td>
        </tr>
        <tr>
          <td>N</td> <td>2,28180</td> <td>-0,03060</td> <td>0,08760</td>
        </tr>
        <tr>
          <th colspan="4"><bold>Optimised nickel molecule</bold></th>
        </tr>
        <tr>
          <th>Atom</th>
          <th>Axis x</th>
          <th>Axis y</th>
          <th>Axis z</th>
        </tr>
        <tr>
          <td>Ni</td> <td>0.96824</td> <td>-0.02527</td> <td>-0.09139N</td>
        </tr>
        <tr>
          <th colspan="4"><bold>Optimised vanadium molecule</bold></th>
        </tr>
        <tr>
          <th>Atom</th>
          <th>Axis x</th>
          <th>Axis y</th>
          <th>Axis z</th>
        </tr>
        <tr>
          <td>V</td> <td>0.97576</td> <td>0.08384</td> <td>-0.04882</td>
        </tr>
      </tbody>
    </table>
  </table-wrap>


  <p><bold>Analysis and discussion</bold></p>
  <p>Due to the FCC process with VGO-B and E-Cat D catalyst, the key
  compounds are paraffins (C₁-C₁₂), olefins (C₂-C₁₀), aromatics such as
  benzene, toluene, styrene, naphthenes such as cyclopentane,
  cyclohexene, as well as heavy compounds such as sulphides, nitrogen,
  nickel and vanadium. They have been considered as the most relevant
  due to their reactivity, coke formation, influence on catalyst
  selection and final product quality. <xref ref-type="bibr" rid="bib8">(Nazarova y otros, 2022)</xref>
  <xref ref-type="bibr" rid="bib12">(Stratiev y otros, 2023)</xref>.</p>
  <p>In crude oil refining processes, understanding the Cartesian
  coordinates of molecules can be important in several respects due to
  the complexity and accuracy needed to optimise processes and maximise
  efficiency. In molecular dynamics simulations, foresee how molecules
  interact with each other. Cartesian coordinates allow modelling and
  visualisation of these motions and collisions at the atomic level. On
  the other hand, coordinates provide knowledge to understand how
  molecules are transformed during catalytic processes, which would
  facilitate simulations of the chemical reactions that occur during
  crude oil refining <xref ref-type="bibr" rid="bib15">(Zhang y otros, 2020)</xref>.</p>
  <p>The FCC unit operates by passing a zeolite catalyst along with feed
  vapor through a vertical reactor for a few seconds. The cracking
  products are separated from the solids and directed to a distillation
  column to be divided into 25 desired products. The catalyst is
  recirculated to the regenerator, where accumulated coke is burned off,
  and the catalyst is regenerated for reuse <xref ref-type="bibr" rid="bib5">(Fahim y otros, 2009)</xref>.
  Therefore, understanding the positions of atoms in catalysts and
  reactants can help design more efficient catalysts. Similarly,
  analyzing how crude oil molecules interact with catalysts at the
  atomic level would be useful for improving reaction rates and
  selectivity <xref ref-type="bibr" rid="bib15">(Zhang y otros, 2020)</xref>.</p>
  <p>Cartesian coordinates enable a precise representation of how
  molecules are distributed and move, along with their corresponding
  optimization energy for process optimization. This could identify
  optimal operating conditions (temperature, pressure, etc.) by better
  understanding molecular interactions and movements <xref ref-type="bibr" rid="bib15">(Zhang y otros, 2020)</xref>. Therefore, understanding molecular geometry helps predict and
  control separation behaviors, as it improves purification and
  separation techniques through detailed analysis of the involved
  molecules <xref ref-type="bibr" rid="bib2">(Borges y otros, 2007)</xref> Furthermore, real-time monitoring
  could be enhanced using precise molecular data to adjust process
  parameters and maintain product quality <xref ref-type="bibr" rid="bib14">(Yan &amp; Duan, 2022)</xref>.</p>
</sec>

<sec>
  <title>Conclusiones </title>
  <list list-type="bullet">
    <list-item>
      <p>The optimization of molecular geometry using the appropriate
      force field is a crucial step before obtaining Cartesian
      coordinates, as it ensures that these coordinates accurately
      represent the real molecular structure and minimize the molecule's
      energy. Moreover, a well-chosen force field enhances the
      reliability and validity of results obtained in computational
      studies.</p>
    </list-item>
    <list-item>
      <p>Utilizing Cartesian coordinates in molecular dynamics
      simulations allows for the prediction and visualization of how
      molecules interact at the atomic level in a realistic manner.
      Consequently, they can be employed to understand molecular
      transformations during catalytic processes in crude oil refining,
      such as FCC, thereby facilitating the simulation of chemical
      reactions and process optimization.</p>
    </list-item>
    <list-item>
      <p>Having a precise understanding of atomic positions in catalysts
      and reactants through molecular geometry aids in designing more
      efficient catalysts. In the case of FCC, the interaction between
      the feedstock and catalysts is crucial for process efficiency.
      Analyzing interactions between crude oil molecules and catalysts
      at the atomic level can enhance reaction rates and selectivity,
      resulting in a more effective fluid catalytic cracking
      process.</p>
    </list-item>
    <list-item>
      <p>Lastly, delving into computational chemistry allows for
      detailed knowledge of molecular geometry and motion, facilitated
      by Cartesian coordinates. This leads to identifying optimal
      operating conditions to improve purification and separation
      techniques, thus optimizing refining processes. Additionally,
      real-time monitoring using precise molecular data enables the
      adjustment of process parameters to maintain the quality of
      refined products.</p>
    </list-item>
  </list>
</sec>


</body>
  <back>
    <fn-group>
        <title>Competing interests</title>
        <fn fn-type="conflict" id="conf1">
            <p>There is no conflict of interest in relation to the article presented.</p>
        </fn>
    </fn-group>
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