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    <journal-meta>
      <journal-id journal-id-type="issn">2411-3336</journal-id>
      <journal-id journal-id-type="eissn">2541-9404</journal-id>
      <journal-title-group>
        <journal-title xml:lang="ru">Записки Горного института</journal-title>
        <journal-title xml:lang="en">Journal of Mining Institute</journal-title>
      </journal-title-group>
      <publisher>
        <publisher-name xml:lang="ru">Санкт-Петербургский горный университет императрицы Екатерины ΙΙ</publisher-name>
        <publisher-name xml:lang="en">Empress Catherine II Saint Petersburg Mining University</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-11988</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/11988</article-id>
      <article-categories>
        <subj-group subj-group-type="section-heading" xml:lang="ru">
          <subject>Без раздела</subject>
        </subj-group>
        <subj-group subj-group-type="section-heading" xml:lang="en">
          <subject>Without section</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="en">A visual method of modeling and elementary derivation of crystallographic varieties of simple forms</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Наглядный способ моделирования и элементарный вывод кристаллографических разновидностей простых форм</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>Sokolova</surname>
            <given-names>N. G.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Соколова</surname>
              <given-names>Н. Г.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Sokolova</surname>
              <given-names>N. G.</given-names>
            </name>
          </name-alternatives>
          <email>pmi@spmi.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru"/>
          </aff>
          <aff>
            <institution xml:lang="en"/>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Shafranovsky</surname>
            <given-names>I. I.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Шафрановский</surname>
              <given-names>И. И.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Shafranovsky</surname>
              <given-names>I. I.</given-names>
            </name>
          </name-alternatives>
          <email>pmi@spmi.ru</email>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
        <aff-alternatives id="aff2">
          <aff>
            <institution xml:lang="ru"> (Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en"> (Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Mokievsky</surname>
            <given-names>V. A.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Мокиевский</surname>
              <given-names>В. А.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Mokievsky</surname>
              <given-names>V. A.</given-names>
            </name>
          </name-alternatives>
          <email>pmi@spmi.ru</email>
          <xref ref-type="aff" rid="aff3"/>
        </contrib>
        <aff-alternatives id="aff3">
          <aff>
            <institution xml:lang="ru"> (Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en"> (Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="1967-11-15">
        <day>15</day>
        <month>11</month>
        <year>1967</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>1967</year>
      </pub-date>
      <volume>54</volume>
      <issue>2</issue>
      <fpage>16</fpage>
      <lpage>24</lpage>
      <history>
        <date date-type="received" iso-8601-date="1967-08-13">
          <day>13</day>
          <month>08</month>
          <year>1967</year>
        </date>
        <date date-type="accepted" iso-8601-date="1967-10-24">
          <day>24</day>
          <month>10</month>
          <year>1967</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="1967-11-15">
          <day>15</day>
          <month>11</month>
          <year>1967</year>
        </date>
      </history>
      <permissions>
        <copyright-statement xml:lang="ru">© 1967 Н. Г. Соколова, И. И. Шафрановский, В. А. Мокиевский</copyright-statement>
        <copyright-statement xml:lang="en">© 1967 N. G. Sokolova, I. I. Shafranovsky, V. A. Mokievsky</copyright-statement>
        <copyright-year>1967</copyright-year>
        <copyright-holder xml:lang="ru">Н. Г. Соколова, И. И. Шафрановский, В. А. Мокиевский</copyright-holder>
        <copyright-holder xml:lang="en">N. G. Sokolova, I. I. Shafranovsky, V. A. Mokievsky</copyright-holder>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="ru">
          <license-p>Эта статья доступна по лицензии Creative Commons Attribution 4.0 International (CC BY 4.0)</license-p>
        </license>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="en">
          <license-p>This article is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0)</license-p>
        </license>
      </permissions>
      <self-uri xlink:type="simple" xlink:href="https://pmi.spmi.ru/pmi/article/view/11988">https://pmi.spmi.ru/pmi/article/view/11988</self-uri>
      <abstract xml:lang="ru">
        <p>Практическое значение кристаллографических разновидностей простых форм, выведенных Г. Б. Бокием [1940], стало очевидным после вывода двойниковых законов.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>The practical significance of the crystallographic varieties of simple forms deduced by G. B. Bokii [1940] became evident after the derivation of the twin laws.</p>
      </abstract>
    </article-meta>
  </front>
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    <ref-list>
      <ref id="ref1">
        <label>1</label>
        <mixed-citation xml:lang="ru">Бокий Г. Б. Число физически различных простых форм кристаллов. Тр. Лаб. кристаллогр. АН СССР, № 2, 1940.</mixed-citation>
        <mixed-citation xml:lang="en">Bokii G. B. Number of physically different simple forms of crystals. Proc. Lab. crystallologr. of the AS USSR, No. 2, 1940.</mixed-citation>
      </ref>
      <ref id="ref2">
        <label>2</label>
        <mixed-citation xml:lang="ru">Михеев В. И., Шафрановский И. И. Реберные формы кристаллов. Минер, сб. Львов, геол. о-ва, № 9, 1955.</mixed-citation>
        <mixed-citation xml:lang="en">Mikheev V. I., Shafranovsky I. I. Rib forms of crystals. Miner, Miner, coll. Lvov Geological Society, No. 9, 1955.</mixed-citation>
      </ref>
      <ref id="ref3">
        <label>3</label>
        <mixed-citation xml:lang="ru">Мокиевский В. А., Шафрановский И. И. Простые формы кристаллов. Минер, сб. Львов, геол. о-ва, № 17, 1963.</mixed-citation>
        <mixed-citation xml:lang="en">Mokievsky V. A., Shafranovsky I. I. Simple forms of crystals. Miner, coll. Lvov Geological Society, No. 17, 1963.</mixed-citation>
      </ref>
      <ref id="ref4">
        <label>4</label>
        <mixed-citation xml:lang="ru">Мокиевский В. А., Шафрановский И. И., Афанасьев И. И. К вопросу о полном выводе двойниковых законов и простейшем способе их моделирования. Минер, сб. Львов, геол. о-ва, № 19, вып. 1, 1965.</mixed-citation>
        <mixed-citation xml:lang="en">Mokievsky V. A. A., Shafranovsky I. I. I., Afanasyev I. I. To the question about the complete derivation of twin laws and the simplest way of their modeling. Miner, Miner, coll. Lvov Geological Society, No. 19, vol. 1, 1965.</mixed-citation>
      </ref>
      <ref id="ref5">
        <label>5</label>
        <mixed-citation xml:lang="ru">Переписка Е. С. Федорова с П. Гротом. В сб. Кристаллография, вып. 3. Изд. ЛГУ., 1955.</mixed-citation>
        <mixed-citation xml:lang="en">Correspondence of E. S. Fedorov with P. Groth. In the collection: Crystallography, vol. 3. PH LSU, 1955.</mixed-citation>
      </ref>
      <ref id="ref6">
        <label>6</label>
        <mixed-citation xml:lang="ru">Шафрановский И. И. Разновидности куба в кристаллографии. Кристаллография, № 7, вып. 5, 1962.</mixed-citation>
        <mixed-citation xml:lang="en">Shafranovsky I. I. Varieties of the cube in crystallography. Crystallography, No. 7, vol. 5, 1962.</mixed-citation>
      </ref>
      <ref id="ref7">
        <label>7</label>
        <mixed-citation xml:lang="ru">Шафрановский И. И., Генделев С. Ш. Вершинные, реберные и гранные формы кристаллов. Минер, сб. Львов, геол. о-ва, № 12, 1958.</mixed-citation>
        <mixed-citation xml:lang="en">Shafranovsky I. I., Gendelev S. Sh. Vertex, rib and faceted forms of crystals. Miner, coll. Lvov Geological Society, No. 12, 1958.</mixed-citation>
      </ref>
      <ref id="ref8">
        <label>8</label>
        <mixed-citation xml:lang="ru">Шафрановский И. И., Мокиевский В. А. Условия роста, геометрия и симметрия скелетных кристаллов. ЗВМО, ч. 85, вып. 2, 1956.</mixed-citation>
        <mixed-citation xml:lang="en">Shafranovsky I. I., Mokievsky V. A. Growth conditions, geometry and symmetry of skeletal crystals. PAMS, ch. 85, vol. 2, 1956.</mixed-citation>
      </ref>
      <ref id="ref9">
        <label>9</label>
        <mixed-citation xml:lang="ru">Шубников А. В. Как растут кристаллы. Изд-во АН СССР, 1935.</mixed-citation>
        <mixed-citation xml:lang="en">Shubnikov A. V. How crystals grow. PH of the Academy of Sciences of the USSR, 1935.</mixed-citation>
      </ref>
      <ref id="ref10">
        <label>10</label>
        <mixed-citation xml:lang="ru">Шубников А. В. Атлас кристаллографических групп симметрии. Изд-во. АН СССР, 1946.</mixed-citation>
        <mixed-citation xml:lang="en">Shubnikov A. V. Atlas of crystallographic symmetry groups. PH AS USSR, 1946.</mixed-citation>
      </ref>
      <ref id="ref11">
        <label>11</label>
        <mixed-citation xml:lang="ru">Boldirew A. Amer. mmeralog., vol. 21, 1936.</mixed-citation>
        <mixed-citation xml:lang="en">Boldirew A. Amer. mmeralog. vol. 21, 1936.</mixed-citation>
      </ref>
    </ref-list>
  </back>
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