Analytical approach for description of ion motion in quadrupole mass spectrometer
Implementation of the analytical method of the solution of the Mathieu equation in conjunction with the algebraic presentation of Mathieu functions is discussed in this work. This approach is used for the analytical expression of fundamental properties of the quadrupole field such as ion trajectory...
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Veröffentlicht in: | Journal of the American Society for Mass Spectrometry 2003-08, Vol.14 (8), p.818-824 |
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description | Implementation of the analytical method of the solution of the Mathieu equation in conjunction with the algebraic presentation of Mathieu functions is discussed in this work. This approach is used for the analytical expression of fundamental properties of the quadrupole field such as ion trajectory stability and transmission. Extensive comparison with the matrix method is presented with demonstration of the fundamental advantages of the analytical method. However, contrary to the matrix method, the analytical method is limited to the
cos trapping waveforms. |
doi_str_mv | 10.1016/S1044-0305(03)00325-8 |
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cos trapping waveforms.</description><subject>Energy Transfer</subject><subject>Exact sciences and technology</subject><subject>Instruments, apparatus, components and techniques common to several branches of physics and astronomy</subject><subject>Ion motion</subject><subject>Ion trajectories</subject><subject>Ions</subject><subject>Mass spectrometers and related techniques</subject><subject>Mass spectrometry</subject><subject>Mass Spectrometry - instrumentation</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Mathieu function</subject><subject>Models, Theoretical</subject><subject>Physics</subject><subject>Quadrupoles</subject><subject>Waveforms</subject><issn>1044-0305</issn><issn>1879-1123</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><sourceid>8G5</sourceid><sourceid>BENPR</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNqFkFFr1jAUhoM43Jz-BKUgil5Uc5qkSa7GGJsOBmOo1yFNTzCjbbqkFfbvTb_vk4E35iIngecczvsQ8gboZ6DQfvkOlPOaMio-UvaJUtaIWj0jJ6CkrgEa9ry8_yLH5GXO95SCpFq-IMfQKN1o2p6Qu_PJDo9LcHao7DynaN2vysdU9ZhdCvMS4lRFX21ljLtfmKqH1fZpneOA1WhzrvKMbklxxAXTK3Lk7ZDx9aGekp9Xlz8uvtU3t1-vL85vasdBLzUoIanijHotleC9F-12OsGEoNBJBa0DBdh7bpW1XQNedII2ikvAlgt2Sj7s55alH1bMixlDdjgMdsK4ZiOZKMlbXcB3_4D3cU0ldjagRcOF1GyjxJ5yKeac0Js5hdGmRwPUbMbNzrjZdJbL7IwbVfreHqav3Yj9U9dBcQHeHwCbi2Wf7ORCfuJKJs53a57tOSzSfgdMJruAk8M-pGLX9DH8Z5U_oACbQg</recordid><startdate>20030801</startdate><enddate>20030801</enddate><creator>Baranov, Vladimir I.</creator><general>Elsevier Inc</general><general>Elsevier Science</general><general>Springer Nature B.V</general><scope>6I.</scope><scope>AAFTH</scope><scope>IQODW</scope><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7X7</scope><scope>7XB</scope><scope>88E</scope><scope>8FE</scope><scope>8FG</scope><scope>8FI</scope><scope>8FJ</scope><scope>8FK</scope><scope>8G5</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FYUFA</scope><scope>GHDGH</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>K9.</scope><scope>M0S</scope><scope>M1P</scope><scope>M2O</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>Q9U</scope><scope>7X8</scope></search><sort><creationdate>20030801</creationdate><title>Analytical approach for description of ion motion in quadrupole mass spectrometer</title><author>Baranov, Vladimir I.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c419t-185708430f97854df566666b535501b7816c181edf4a8aab21f5b5028471e6453</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Energy Transfer</topic><topic>Exact sciences and technology</topic><topic>Instruments, apparatus, components and techniques common to several branches of physics and astronomy</topic><topic>Ion motion</topic><topic>Ion trajectories</topic><topic>Ions</topic><topic>Mass spectrometers and related techniques</topic><topic>Mass spectrometry</topic><topic>Mass Spectrometry - instrumentation</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Mathieu function</topic><topic>Models, Theoretical</topic><topic>Physics</topic><topic>Quadrupoles</topic><topic>Waveforms</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Baranov, Vladimir I.</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>Pascal-Francis</collection><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>ProQuest Health and Medical</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Medical Database (Alumni Edition)</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Hospital Premium Collection</collection><collection>Hospital Premium Collection (Alumni Edition)</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Health Research Premium Collection</collection><collection>Health Research Premium Collection (Alumni)</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Health & Medical Complete (Alumni)</collection><collection>Health & Medical Collection (Alumni Edition)</collection><collection>Medical Database</collection><collection>ProQuest Research Library</collection><collection>Research Library (Corporate)</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>ProQuest Central Basic</collection><collection>MEDLINE - 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cos trapping waveforms.</abstract><cop>New York, NY</cop><pub>Elsevier Inc</pub><pmid>12892906</pmid><doi>10.1016/S1044-0305(03)00325-8</doi><tpages>7</tpages><oa>free_for_read</oa></addata></record> |
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subjects | Energy Transfer Exact sciences and technology Instruments, apparatus, components and techniques common to several branches of physics and astronomy Ion motion Ion trajectories Ions Mass spectrometers and related techniques Mass spectrometry Mass Spectrometry - instrumentation Mathematical analysis Mathematics Mathieu function Models, Theoretical Physics Quadrupoles Waveforms |
title | Analytical approach for description of ion motion in quadrupole mass spectrometer |
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