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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="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">pribor</journal-id><journal-title-group><journal-title xml:lang="ru">Известия высших учебных заведений. Приборостроение</journal-title><trans-title-group xml:lang="en"><trans-title>Journal of Instrument Engineering</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0021-3454</issn><issn pub-type="epub">2500-0381</issn><publisher><publisher-name>Национальный исследовательский университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/0021-3454-2025-68-8-738-748</article-id><article-id custom-type="elpub" pub-id-type="custom">pribor-405</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>ПРОЕКТИРОВАНИЕ И ТЕХНОЛОГИЯ ПРОИЗВОДСТВА ПРИБОРОВ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>DESIGN AND PRODUCTION TECHNOLOGY OF INSTRUMENTS</subject></subj-group></article-categories><title-group><article-title>Аналитический метод расчета толщины слоев защитной маски при изготовлении микромеханического акселерометра</article-title><trans-title-group xml:lang="en"><trans-title>Analytical Method for Calculating the Thickness of Protective Mask Layers in the Manufacturing of a Micromechanical Accelerometer</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>Каранин</surname><given-names>Н. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Karanin</surname><given-names>N. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Никита Сергеевич Каранин — аспирант, факультет систем управления и робототехники</p><p>Санкт-Петербург</p></bio><bio xml:lang="en"><p>Nikita S. Karanin — Post-Graduate Student, Faculty of Control Systems and Robotics</p><p>St. Petersburg</p></bio><email xlink:type="simple">karanin.ns@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Университет ИТМО</institution></aff><aff xml:lang="en"><institution>ITMO University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>12</day><month>09</month><year>2025</year></pub-date><volume>68</volume><issue>8</issue><fpage>738</fpage><lpage>748</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Национальный исследовательский университет ИТМО, 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Национальный исследовательский университет ИТМО</copyright-holder><copyright-holder xml:lang="en">Национальный исследовательский университет ИТМО</copyright-holder><license xlink:href="https://pribor.ifmo.ru/jour/about/submissions#copyrightNotice" xlink:type="simple"><license-p>https://pribor.ifmo.ru/jour/about/submissions#copyrightNotice</license-p></license></permissions><self-uri xlink:href="https://pribor.ifmo.ru/jour/article/view/405">https://pribor.ifmo.ru/jour/article/view/405</self-uri><abstract><p>Рассмотрены методы определения толщины слоев масок для проведения процессов плазмохимического травления. Предложен метод расчета толщины слоев маски при формировании приборного слоя для изготовления чувствительных элементов микромеханического акселерометра. Представлены результаты оценки расчетного метода на основе измеренных значений толщины маски до и после плазмохимического травления приборного слоя кремниевой подложки с чувствительными элементами. Сформулировано заключение об эффективности использования представленного метода в технологии изготовления микромеханических акселерометров и гироскопов.</p></abstract><trans-abstract xml:lang="en"><p>Methods for determining the thickness of mask layers for plasma chemical etching processes are considered. A method for calculating the thickness of the mask layers during the formation of an instrument layer for the manufacture of sensitive elements of a micromechanical accelerometer is proposed. The results of the evaluation of the calculation method based on the measured values of the mask thickness before and after plasma-chemical etching of the instrument layer on a silicon substrate with sensitive elements are presented. A conclusion is formulated on the effectiveness of using the presented method in the manufacturing technology of micromechanical accelerometers and gyroscopes.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>аналитический метод</kwd><kwd>плазмохимическое травление</kwd><kwd>маска для травления</kwd><kwd>приборный слой</kwd><kwd>чувствительный элемент</kwd><kwd>микромеханический акселерометр</kwd></kwd-group><kwd-group xml:lang="en"><kwd>analytical method</kwd><kwd>plasma chemical etching</kwd><kwd>etching mask</kwd><kwd>instrument layer</kwd><kwd>sensing element</kwd><kwd>micromechanical accelerometer</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">Калинкина М. Е., Пирожникова О. И., Ткалич В. Л., Комарова А. В. Микроэлектромеханические системы и датчики. СПб: Университет ИТМО, 2020.</mixed-citation><mixed-citation xml:lang="en">Kalinkina M.E., Pirozhnikova O.I., Tkalich V.L., Komarova A.V. Mikroelektromekhanicheskiye sistemy i datchiki (Microelectromechanical systems and sensors), St. Petersburg, 2020. (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Ramalingam R., Ganesan A., Shanmugam J. Microelectromechnical Systems Inertial Measurement Unit Error Modelling and Error Analysis for Low-cost Strapdown Inertial Navigation System // Defence Science Journal. 2009. P. 650–658.</mixed-citation><mixed-citation xml:lang="en">Ramalingam R., Ganesan A., Shanmugam J. Defence Science Journal, 2009, рр. 650–658.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Liu Y., Chen L. Application of accelerometers in vibration test of high voltage circuit breaker // 2015 5th Intern. Conf. on Electric Utility Deregulation and Restructuring and Power Technologies (DRPT). 2015. P. 1488–1491.</mixed-citation><mixed-citation xml:lang="en">Liu Y., Chen L. 5th International Conference on Electric Utility Deregulation and Restructuring and Power Technologies (DRPT), 2015, рр. 1488–1491.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Popova I., Lestev A., Semenov A., Ivanov V., Rakityanski O., Burtsev V. Micromechanical gyros &amp; accelerometers for digital navigation &amp; control systems // IEEE Aerospace and Electronic Systems Magazine. 2009. Vol. 24, N 5. P. 33–39.</mixed-citation><mixed-citation xml:lang="en">Popova I., Lestev A., Semenov A., Ivanov V., Rakityanski O., Burtsev V. IEEE Aerospace and Electronic Systems Magazine, 2009, no. 5(24), pp. 33–39.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Калинкина М. Е., Козлов А. С., Лабковская Р. Я., Пирожникова О. И., Ткалич В. Л. Расчет угловой жесткости упругого элемента микромеханического акселерометра // Изв. вузов. Приборостроение. 2019. Т. 62, № 6. С. 534–541.</mixed-citation><mixed-citation xml:lang="en">Kalinkina M.E., Kozlov A.S., Labkovskaya R.Ya., Pirozhnikova O.I., Tkalich V.L. Journal of Instrument Engineering, 2019, no. 6(62), pp. 534–541. (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Гуртов В. А., Беляев М. А., Бакшеева А. Г. Микроэлектромеханические системы: учеб. пособие. Петрозаводск: Изд-во ПетрГУ, 2016.</mixed-citation><mixed-citation xml:lang="en">Gurtov V.A., Belyaev M.A., Baksheeva A.G. Mikroelektromekhanicheskiye sistemy (Microelectromechanical systems), Petrozavodsk, 2016. (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Васильев В. Ю. Современное производство изделий микроэлектроники: учеб. пособие. Новосибирск: Изд-во НГТУ, 2019.</mixed-citation><mixed-citation xml:lang="en">Vasiliev V.Yu. Sovremennoye proizvodstvo izdeliy mikroelektroniki (Modern Production of Microelectronics Products), Novosibirsk, 2019. (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Тимошенков С. П., Антюшин С. А., Зарянкин Н. М., Калугин В. В., Кочурина Е. С., Тимошенков А. С., Боев Л. Р. Проектирование и изготовление чувствительного элемента МЭМС-акселерометра // Нано- и микросистемная техника. 2021. № 2. С. 63–67.</mixed-citation><mixed-citation xml:lang="en">Timoshenkov S.P., Anchutin S.A., Zarjankin N.M., Kalugin V.V., Kochurina E.S., Timoshenkov A.S., Boev L.R. Nano- and Microsystems Technology, 2021, no. 2, pp. 63–67. (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Lips B., Puers R. Three step deep reactive ion etch for high density trench etching // Journal of Physics: Conference Series. 2016. Vol. 757.</mixed-citation><mixed-citation xml:lang="en">Lips B., Puers R. Journal of Physics: Conference Series, 2016, vol. 757.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Horstmann B., Pate D., Smith B., Mamun Md A., Atkinson G., Özgür Ü., Avrutin V. Cryogenic DRIE processes for high-precision silicon etching in MEMS applications // Journal of Micromechanics and Microengineering. 2024. Vol. 34, N 7. P. 1–13.</mixed-citation><mixed-citation xml:lang="en">Horstmann B., Pate D., Smith B., Mamun Md A., Atkinson G., Özgür Ü., Avrutin V. Journal of Micromechanics and Microengineering, 2024, no. 7(34), pp. 1–13.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Bobinac J., Reiter T., Piso J., Klemenschits X., Baumgartner O., Stanojevic Z., Strof G., Karner M., Filipovic L. Effect of Mask Geometry Variation on Plasma Etching Profiles // Micromachines. 2023. Vol. 14, N 3. Р. 665. DOI:10.3390/mi14030665.</mixed-citation><mixed-citation xml:lang="en">Bobinac J., Reiter T., Piso J., Klemenschits X., Baumgartner O., Stanojevic Z., Strof G., Karner M., Filipovic L. Micromachines, 2023, no. 3(14), pp. 665, DOI:10.3390/mi14030665.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Yoon M., Yeom H. J., Kim J., Jeong J.-R., Lee H.-Ch. Plasma etching of the trench pattern with high aspect ratio mask under ion tilting // Applied Surface Science. 2022. Vol. 595, N 1. Р. 153462. DOI:10.1016/j.apsusc.2022.153462.</mixed-citation><mixed-citation xml:lang="en">Yoon M., Yeom H.J., Kim J., Jeong J-R., Lee H-Ch. Applied Surface Science, 2022, no. 1(595), pp. 153462, DOI:10.1016/j.apsusc.2022.153462.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Racka-Szmidt K., Stonio B., Żelazko J., Filipiak M., Sochacki M. A Review: Inductively Coupled Plasma Reactive Ion Etching of Silicon Carbide // Materials (Basel). 2021. Vol. 15, N 1. Р. 123. DOI: 10.3390/ma15010123.</mixed-citation><mixed-citation xml:lang="en">Racka-Szmidt K., Stonio B., Żelazko J., Filipiak M., Sochacki M. Materials (Basel), 2021, no. 1(15), pp. 123.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Osipov A. A., Iankevich G. A., Speshilova A. B. et al. OES diagnostics as a universal technique to control the Si etching structures profile in ICP // Scientific Reports. 2022. Vol. 12, N 1. Р. 5287. DOI:10.1038/s41598-022-09266-x.</mixed-citation><mixed-citation xml:lang="en">Osipov A.A., Iankevich G.A., Speshilova A.B. et al. Scientific Reports, 2022, no. 1(12), pp. 5287, DOI:10.1038/s41598-022-09266-x.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Bagolini A., Scauso P. &amp; Sanguinetti S., Bellutti P. Silicon Deep Reactive Ion Etching with aluminum hard mask // Materials Research Express. 2019. Vol. 6, N 8.</mixed-citation><mixed-citation xml:lang="en">Bagolini A., Scauso P. &amp; Sanguinetti S., Bellutti P. Materials Research Express, 2019, no. 8(6).</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Виноградов А. И., Зарянкин Н. М., Прокопьев Е. П., Тимошенков С. П. Оптимизация параметров процесса глубокого плазмохимического травления кремния для элементов МЭМС // Изв. вузов. Электроника. 2010. Т. 82, № 2. С. 3–9.</mixed-citation><mixed-citation xml:lang="en">Vinogradov A.I., Zaryankin N.M., Prokopyev E.P., Timoshenkov S.P. News of universities. Electronics, 2010, no. 2(82), pp. 3–9. (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Каранин Н. С. Исследование селективности процесса плазмохимического травления приборного слоя инерциальных микромеханических устройств // Нано- и микросистемная техника. 2024. Т. 26, № 4. С. 198–204.</mixed-citation><mixed-citation xml:lang="en">Karanin N.S. Nano- and Microsystems Technology, 2024, no. 4(26), pp. 198–204. (in Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Karanin N., Yulmetova O. Investigation of Surface Temperature for Sensitive Element of Micromechanical Accelerometer During Plasma Etching Using Finite Element Method // 30th Saint Petersburg Intern. Conf. on Integrated Navigation Systems, ICINS 2023. 2023. P. 1–3.</mixed-citation><mixed-citation xml:lang="en">Karanin N., Yulmetova O. 30th Saint Petersburg International Conference on Integrated Navigation Systems, ICINS 2023, 2023, рр. 1–3.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Hu X., Zhen Zh., Sun G., Wang Q., Huang Q. Improvement on the uniformity of deep reactive ion etch for electrically isolated silicon-based substrates // Journal of Micromechanics and Microengineering. 2022. Vol. 32, N 4. DOI:10.1088/1361-6439/ac56c9.</mixed-citation><mixed-citation xml:lang="en">Hu X., Zhen Zh., Sun G., Wang Q., Huang Q. Journal of Micromechanics and Microengineering, 2022, no. 4(32), DOI:10.1088/1361-6439/ac56c9.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Xia D., Yu C., Kong L. The Development of Micromachined Gyroscope Structure and Circuitry Technology // Sensors. 2014. Vol. 14. P. 1394–1473.</mixed-citation><mixed-citation xml:lang="en">Xia D., Yu C., Kong L. Sensors, 2014, vol. 14, рр. 1394–1473.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Greiff P., Boxenhorn B., King T., Niles L. Silicon monolithic micromechanical gyroscope // TRANSDUCERS ‘91: 1991 Intern. Conf. on Solid-State Sensors and Actuators. Digest of Technical Papers. 1991. P. 966–968.</mixed-citation><mixed-citation xml:lang="en">Greiff P., Boxenhorn B., King T., Niles L. TRANSDUCERS ‘91: 1991 International Conference on Solid-State Sensors and Actuators, Digest of Technical Papers, 1991, рр. 966–968.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Ayanoor-Vitikkate V., Chen K., Park W.-T., Kenny Th. W. Development of wafer scale encapsulation process for large displacement piezoresistive MEMS devices // Sensors and Actuators A: Physical. 2009. Vol. 156, N 2. P. 275–283.</mixed-citation><mixed-citation xml:lang="en">Ayanoor-Vitikkate V., Chen K., Park W.-T., Kenny Th.W. Sensors and Actuators A: Physical, 2009, no. 2(156), pp. 275–283.</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>
