<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">zldm</journal-id><journal-title-group><journal-title xml:lang="ru">Заводская лаборатория. Диагностика материалов</journal-title><trans-title-group xml:lang="en"><trans-title>Industrial laboratory. Diagnostics of materials</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1028-6861</issn><issn pub-type="epub">2588-0187</issn><publisher><publisher-name>ООО «Издательство «ТЕСТ-ЗЛ»</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">zldm-218</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>ИССЛЕДОВАНИЕ СТРУКТУРЫ И СВОЙСТВ ФИЗИЧЕСКИЕ МЕТОДЫ ИССЛЕДОВАНИЯ И КОНТРОЛЯ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>STRUCTURE AND PROPERTIES INVESTIGATION PHYSICAL METHODS OF INVESTIGATION AND MONITORING</subject></subj-group></article-categories><title-group><article-title>РЕНТГЕНОФЛУОРЕСЦЕНТНЫЙ АНАЛИЗ СОСТАВА ТОНКИХ ПОКРЫТИЙ С ИСПОЛЬЗОВАНИЕМ МЕТОДА ФУНДАМЕНТАЛЬНЫХ ПАРАМЕТРОВ</article-title><trans-title-group xml:lang="en"><trans-title>X-ray Fluorescence Analysis of the thin Coatings Using the Method of Fundamental Parameters</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Нарцев</surname><given-names>В. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Nartsev</surname><given-names>V. M.</given-names></name></name-alternatives><email xlink:type="simple">nvm84@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Аткарская</surname><given-names>А. Б.</given-names></name><name name-style="western" xml:lang="en"><surname>Atkarskaya</surname><given-names>A. B.</given-names></name></name-alternatives><email xlink:type="simple">atkarsk06@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="ru" id="aff-1"><institution>Белгородский государственный технологический университет им. В. Г. Шухова</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2016</year></pub-date><pub-date pub-type="epub"><day>01</day><month>03</month><year>2016</year></pub-date><volume>82</volume><issue>3</issue><fpage>29</fpage><lpage>35</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Нарцев В.М., Аткарская А.Б., 2016</copyright-statement><copyright-year>2016</copyright-year><copyright-holder xml:lang="ru">Нарцев В.М., Аткарская А.Б.</copyright-holder><copyright-holder xml:lang="en">Nartsev V.M., Atkarskaya A.B.</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://www.zldm.ru/jour/article/view/218">https://www.zldm.ru/jour/article/view/218</self-uri><abstract><p>Получены базовые уравнения метода фундаментальных параметров для рентгенофлуоресцентного анализа тонких покрытий, учитывающих прямое возбуждение и вторичную флуоресценцию. Включение в формулы вторичной флуоресценции особенно важно, если излучение от атомов покрытия (или подложки) может возбуждать атомы подложки (или покрытия). Установлено, что для подложек, содержащих тяжелые элементы, необходимо учитывать их толщину и для вторичной флуоресценции нельзя использовать полное аналитическое выражение интегралов, а необходимо прибегать к численному расчету по углу. Представлены источники справочных данных для коэффициентов массового поглощения и фотопоглощения, вероятностей электронных переходов и флуоресценции, используемых в формулах. Предложены алгоритм определения состава таких покрытий на рентгенофлуоресцентных спектрометрах, настроенных под анализ массивных (без покрытия) образцов, и способы повышения точности расчета.</p></abstract><trans-abstract xml:lang="en"><p>We obtain the basic equations of the method of fundamental parameters for X-ray analysis of thin coatings with allowance for direct excitation and secondary fluorescence. Introduction of the secondary fluorescence becomes especially important when radiation of the atoms of coating (or substrate) can excite the atoms of the substrate (or coating). We have shown the necessity of taking into account the thickness of substrate films containing heavy elements and incorrectness of using full analytical expression of the integrals for secondary fluorescence instead of numerical calculations by the angle. Sources of the reference data for mass absorption coefficients and photoabsorption, probability of electron transitions and fluorescence used in formulas are indicated. An algorithm for determination of the composition of such coatings on x-ray fluorescence spectrometers configured for analysis of bulk (uncoated) samples, and methods of improving the accuracy of the calculation are proposed.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>рентгеновская флуоресценция</kwd><kwd>покрытия</kwd><kwd>химический состав</kwd><kwd>алгоритм расчета</kwd><kwd>x-ray fluorescence</kwd><kwd>thin films</kwd><kwd>chemical composition</kwd><kwd>algorithm of calculation</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">de Boer D. K. G., Borstrok J. J. M., Leenaers A. J. G. et al. How Accurate is the Fundamental Parameter Approach? XRF Analysis of Bulk and Multilayer Samples / X-Ray Spectrometry. 1993. Vol. 22. P. 33 - 38.</mixed-citation><mixed-citation xml:lang="en">de Boer D. K. G., Borstrok J. J. M., Leenaers A. J. G. et al. How Accurate is the Fundamental Parameter Approach? XRF Analysis of Bulk and Multilayer Samples / X-Ray Spectrometry. 1993. Vol. 22. P. 33 - 38.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Beckhoff B., Kanngießer B., Langhoff N., et al. Handbook of Practical X-Ray Fluorescence Analysis. - Germany: Springer-Verlag Berlin Heidelberg, 2006. - 899 p.</mixed-citation><mixed-citation xml:lang="en">Beckhoff B., Kanngießer B., Langhoff N., et al. Handbook of Practical X-Ray Fluorescence Analysis. - Germany: Springer-Verlag Berlin Heidelberg, 2006. - 899 p.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Mantler M., Kawahara N. How accurate are modern fundamental parameter methods? / The Rigaku Journal. 2004. Vol. 21. N 2. P. 17 - 25.</mixed-citation><mixed-citation xml:lang="en">Mantler M., Kawahara N. How accurate are modern fundamental parameter methods? / The Rigaku Journal. 2004. Vol. 21. N 2. P. 17 - 25.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Афонин В. П., Гуничева Т. H., Пискунова Л. Ф. Рентгенофлуоресцентный силикатный анализ. - Новосибирск: Наука. Сибирское отделение, 1984. -226 с.</mixed-citation><mixed-citation xml:lang="en">Афонин В. П., Гуничева Т. H., Пискунова Л. Ф. Рентгенофлуоресцентный силикатный анализ. - Новосибирск: Наука. Сибирское отделение, 1984. -226 с.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Henke B. L., Gullikson E. M., Davis J. C. X-Ray interactions: photoabsorption, scattering, transmission and reflection at Е = 50 - 30000 eV, Z =1-92 / Atomic Data and Nuclear Data Tables. 1993. Vol. 54. N 2. P. 181 - 342.</mixed-citation><mixed-citation xml:lang="en">Henke B. L., Gullikson E. M., Davis J. C. X-Ray interactions: photoabsorption, scattering, transmission and reflection at Е = 50 - 30000 eV, Z =1-92 / Atomic Data and Nuclear Data Tables. 1993. Vol. 54. N 2. P. 181 - 342.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">X-Ray Mass Attenuation Coefficients. (Электронный ресурс) URL: http://physics.nist.gov/PhysRefData/XrayMassCoef/tab3.html (дата обращения: 14.10.2014).</mixed-citation><mixed-citation xml:lang="en">X-Ray Mass Attenuation Coefficients. (Электронный ресурс) URL: http://physics.nist.gov/PhysRefData/XrayMassCoef/tab3.html (дата обращения: 14.10.2014).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Цветянский А. Л., Еритенко А. Н. Использование интенсивности рассеянного веществом первичного рентгеновского излучения в практике РФА / Электронный научный журнал «Исследовано в России». 2013. Т. 16. С. 286 - 320.</mixed-citation><mixed-citation xml:lang="en">Цветянский А. Л., Еритенко А. Н. Использование интенсивности рассеянного веществом первичного рентгеновского излучения в практике РФА / Электронный научный журнал «Исследовано в России». 2013. Т. 16. С. 286 - 320.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Pia M. G., Saracco P., Sudhakar M. Validation of K and L Shell Radiative Transition Probability Calculations / IEEE Transactions on Nuclear Science. 2009. Vol. 56. N 6. P. 3650 - 3661.</mixed-citation><mixed-citation xml:lang="en">Pia M. G., Saracco P., Sudhakar M. Validation of K and L Shell Radiative Transition Probability Calculations / IEEE Transactions on Nuclear Science. 2009. Vol. 56. N 6. P. 3650 - 3661.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Sögüt Ö., Büyükkasap E., Küçükönder A., et al. Measurement of vacancy transfer probability from K to L shell usin g K-shell fluorescence yields / Pramana - Journal of Physics. 2009. Vol. 73. N 4. P. 711 - 718.</mixed-citation><mixed-citation xml:lang="en">Sögüt Ö., Büyükkasap E., Küçükönder A., et al. Measurement of vacancy transfer probability from K to L shell usin g K-shell fluorescence yields / Pramana - Journal of Physics. 2009. Vol. 73. N 4. P. 711 - 718.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Salvat F., Fernández-Varea J. M., Sempau J. PENELOPE - A Code System for Monte Carlo Simulation of Electron and Photon Transport / Workshop Proceedings Issy-les-Moulineaux. 2003. - 241 p.</mixed-citation><mixed-citation xml:lang="en">Salvat F., Fernández-Varea J. M., Sempau J. PENELOPE - A Code System for Monte Carlo Simulation of Electron and Photon Transport / Workshop Proceedings Issy-les-Moulineaux. 2003. - 241 p.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Kataoka Y., Kawahara N., Arai T., et al. Study of light element analysis of thin films for fundamental parameter method / JCPDS-International Centre for Diffraction Data. 1999. P. 76 - 83.</mixed-citation><mixed-citation xml:lang="en">Kataoka Y., Kawahara N., Arai T., et al. Study of light element analysis of thin films for fundamental parameter method / JCPDS-International Centre for Diffraction Data. 1999. P. 76 - 83.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Rousseau R. M. The Quest for a Fundamental Algorithm in X-Ray Fluorescence Analysis and Calibration / The Open Spectroscopy Journal. 2009. Vol. 3. P. 31-42.</mixed-citation><mixed-citation xml:lang="en">Rousseau R. M. The Quest for a Fundamental Algorithm in X-Ray Fluorescence Analysis and Calibration / The Open Spectroscopy Journal. 2009. Vol. 3. P. 31-42.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Mantler M. Quantitative Analysis of Thin Films and Multiple Thin Film Structures by Monte-Carlo Techniques / JCPDS-International Centre for Diffraction Data. 1999. P. 54 - 61.</mixed-citation><mixed-citation xml:lang="en">Mantler M. Quantitative Analysis of Thin Films and Multiple Thin Film Structures by Monte-Carlo Techniques / JCPDS-International Centre for Diffraction Data. 1999. P. 54 - 61.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
