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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2022-13-4-456-463</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-256</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group></article-categories><title-group><article-title>Synthesis, investigation, structural and elastic properties of MgxZn1-xFe2O4 nanoparticles</article-title><trans-title-group xml:lang="ru"><trans-title></trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Patil</surname><given-names>P. V.</given-names></name></name-alternatives><email xlink:type="simple">vpasccphysics@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Chaudhari</surname><given-names>N. D.</given-names></name></name-alternatives><email xlink:type="simple">nk.dchaudhari@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Kute</surname><given-names>P. R.</given-names></name></name-alternatives><email xlink:type="simple">kuteprabhakar@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Kale</surname><given-names>R. D.</given-names></name></name-alternatives><email xlink:type="simple">rajendra_kale@yahoo.com</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>VP’s ASC College Baramati (Pune)</institution><country>Russian Federation</country></aff><aff xml:lang="en" id="aff-2"><institution>Pratishthan Mahavidyalaya</institution><country>Russian Federation</country></aff><aff xml:lang="en" id="aff-3"><institution>Tuljaram Chaturchand College</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>06</day><month>06</month><year>2025</year></pub-date><volume>13</volume><issue>4</issue><fpage>456</fpage><lpage>463</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Patil P.V., Chaudhari N.D., Kute P.R., Kale R.D., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Patil P.V., Chaudhari N.D., Kute P.R., Kale R.D.</copyright-holder><copyright-holder xml:lang="en">Patil P.V., Chaudhari N.D., Kute P.R., Kale R.D.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://nanojournal.ifmo.ru/jour/article/view/256">https://nanojournal.ifmo.ru/jour/article/view/256</self-uri><abstract><p>Magnesium-Zinc Ferrite nanoparticles of different compositions are synthesized by using the sol-gel auto-combustion method with citric acid as a fuel. Structural characteristics were studied using X-ray diffraction technique and it confirms the formation of cubic spinel structure. The ferrite nanoparticle size of synthesized powder ranges from 22 - 24 nm. The effect of change in Mg2+ content results in a change of the lattice parameter of ferrite nanoparticles. In the present paper, the structural parameters such as cation-cation and cation-anion distances, tetrahedral, octahedral bond lengths and bond angles, hopping lengths, shared, unshared tetrahedral, and octahedral edge are reported. FTIR spectra show two prominent peaks around 524 - 532 cm-1 (tetrahedral site) and 409 - 432 cm-1 (octahedral site) and the force constants of the octahedral and tetrahedral site of Mg-Zn ferrite were calculated. The elastic moduli and other factors such as longitudinal, transverse and mean velocity, Poisson ratio, and Debye temperature were determined.</p></abstract><kwd-group xml:lang="en"><kwd>Magnesium-Zinc ferrite nanoparticles</kwd><kwd>sol-gel auto-combustion method</kwd><kwd>cubic spinel structure</kwd><kwd>bond lengths and bond angles</kwd><kwd>hopping lengths</kwd><kwd>elastic moduli</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Manikandam A., Judith Vijaya J., et al. Optical and magnetic properties of Mg-doped ZnFe2O4 nanoparticles prepared by rapid microwave combustion method. Superlattices and Microstructures, 2013, 64, P. 118-131.</mixed-citation><mixed-citation xml:lang="en">Manikandam A., Judith Vijaya J., et al. Optical and magnetic properties of Mg-doped ZnFe2O4 nanoparticles prepared by rapid microwave combustion method. 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