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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Geometry &amp; Graphics</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Geometry &amp; Graphics</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Геометрия и графика</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="print">2308-4898</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">56536</article-id>
   <article-id pub-id-type="doi">10.12737/2308-4898-2022-10-3-12-22</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Научные проблемы геометрии</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>Scientific problems of geometry</subject>
    </subj-group>
    <subj-group>
     <subject>Научные проблемы геометрии</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Principles of constructing geometric models of nanoclusters along a tetrahedral line</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Принципы построения геометрических моделей нанокластеров по тетраэдрической линии</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Кононов</surname>
       <given-names>П. В.</given-names>
      </name>
      <name xml:lang="en">
       <surname>Kononov</surname>
       <given-names>P. V.</given-names>
      </name>
     </name-alternatives>
     <bio xml:lang="ru">
      <p>кандидат технических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of technical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Кононова</surname>
       <given-names>И. Е.</given-names>
      </name>
      <name xml:lang="en">
       <surname>Kononova</surname>
       <given-names>I. E.</given-names>
      </name>
     </name-alternatives>
     <bio xml:lang="ru">
      <p>кандидат физико-математических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of physical and mathematical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Мороз</surname>
       <given-names>О. Н.</given-names>
      </name>
      <name xml:lang="en">
       <surname>Moroz</surname>
       <given-names>O. N.</given-names>
      </name>
     </name-alternatives>
     <bio xml:lang="ru">
      <p>кандидат технических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of technical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Санкт-Петербургский горный университет</institution>
    </aff>
    <aff>
     <institution xml:lang="en">Saint Petersburg Mining University</institution>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Санкт-Петербургский государственный электротехнический университет «ЛЭТИ» им. В.И. Ульянова </institution>
    </aff>
    <aff>
     <institution xml:lang="en">St. Petersburg State Electrotechnical University &amp;#34;LETI&amp;#34;</institution>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2022-09-26T14:47:28+03:00">
    <day>26</day>
    <month>09</month>
    <year>2022</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2022-09-26T14:47:28+03:00">
    <day>26</day>
    <month>09</month>
    <year>2022</year>
   </pub-date>
   <volume>10</volume>
   <issue>3</issue>
   <fpage>12</fpage>
   <lpage>22</lpage>
   <history>
    <date date-type="received" iso-8601-date="2022-09-20T14:47:28+03:00">
     <day>20</day>
     <month>09</month>
     <year>2022</year>
    </date>
   </history>
   <self-uri xlink:href="https://naukaru.ru/en/nauka/article/56536/view">https://naukaru.ru/en/nauka/article/56536/view</self-uri>
   <abstract xml:lang="ru">
    <p>В связи с развитием новых методов нанотехнологии в статье рассмотрены особенности морфологии нанообъектов, предопределяющие актуальность модернизации подготовки магистрантов при изучении дисциплин «Наноматериаловедение», «Нанотехнология», «Начертательная геометрия, инженерная и компьютерная графика» и «Компьютерное моделирование».&#13;
В последнее время понятие «кластер» становится актуальным в связи с тенденцией развития наноматериалов. Такие наноматериалы, полученные с помощью нетрадиционных механизмов роста (включая ориентированное сращивание (oriented attachment)) чрезвычайно интересны в области электроники, фотоники и представляют большой интерес для катализа. &#13;
В статье рассмотрены гомоатомные кластеры, построенные из одинаковых структурных единиц. Стремление к минимуму энергии выражается в тенденции к плотнейшему расположению структурных единиц в кластере. Это позволяет утверждать, что наиболее устойчивыми будут структуры кластеров, имеющие максимальное число связей, приходящихся на одну структурную единицу; что кластеры стремятся к квазисферической форме (т.е. размеры кластера по трем декартовым осям по возможности должны быть близки, при этом образуются плотные структуры, поверхность которых минимальна, а число связей максимально); что кластеры с более высокой симметрией предпочтительнее (одинаковые структурные единицы, слагающие каркас кластера, должны стремиться к пребыванию в неотличимом друг от друга состоянии и положении).&#13;
В работе применены знания и умения, закладываемые студентам в курсе инженерная и компьютерная графика к исследованиям закономерностей протекания процессов в наномире на примере принципов построения нанокластеров по тетраэдрической линии с помощью трехмерного моделирования в среде Autodesk 3ds Max. Визуализация и наглядное представление геометрических образов нанокластеров позволит избежать примитивно-геометрического представления о нанообъектах у студентов и послужит мотивацией к изучению других естественнонаучных предметов.&#13;
Содержание статьи предназначено специалистам, работающим в областях нанотехнологии, твердотельной электроники, микро- и наноэлектроники, микро- и наносистемной техники, тонкопленочной сенсорики.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>In connection with the development of new methods of nanotechnology, the article discusses the features of the morphology of nanoobjects that determine the relevance of the modernization of the training of undergraduates in the study of the disciplines «Nanomaterial Science», «Nanotechnology», «Descriptive geometry, engineering and computer graphics» and «Computer modeling».&#13;
Recently, the concept of «cluster» has become relevant due to the trend in the development of nanomaterials. Such nanomaterials obtained using unconventional growth mechanisms (including oriented attachment) are extremely interesting in the field of electronics, photonics and are of great interest for catalysis.&#13;
The article considers homoatomic clusters constructed from identical structural units. The desire to minimize energy is expressed in the tendency to the densest arrangement of structural units in the cluster. This allows us to assert that cluster structures with the maximum number of connections per structural unit will be the most stable; that clusters tend to a quasi-spherical shape (i.e., cluster sizes along three Cartesian axes should be close if possible, while dense structures are formed, the surface of which is minimal, and the number of connections is maximum); that clusters with higher symmetry are preferable (identical structural units composing the cluster framework should strive to stay in an indistinguishable state and position from each other).&#13;
The work applies the knowledge and skills laid down by students in the course of engineering and computer graphics to the study of the patterns of processes in the nanowire on the example of the principles of building nanoclusters along a tetrahedral line using three-dimensional modeling in the Autodesk 3ds Max environment. Visualization and visual representation of geometric images of nanoclusters will allow students to avoid a primitive geometric representation of nanoobjects and will serve as motivation to study other natural science subjects.&#13;
The content of the article is intended for specialists working in the fields of nanotechnology, solid-state electronics, micro- and nanoelectronics, micro- and nanosystem technology, thin-film sensors.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>трехмерное моделирование</kwd>
    <kwd>нанокластеры</kwd>
    <kwd>тетраэдрические кластеры</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>three-dimensional modeling</kwd>
    <kwd>nanoclusters</kwd>
    <kwd>tetrahedral clusters</kwd>
   </kwd-group>
  </article-meta>
 </front>
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