Theoretical fractional formulation of a three-dimensional radio frequency ion trap (Paul-trap) for optimum mass separation.

Sarkhosh Seddighi Chaharborj, Shahriar Seddighi Chaharborj, Zahra Seddighi Chaharborj, Pei See Phang

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Article in European journal of mass spectrometry (Chichester, England), 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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4 authors at 3 institutions in 3 countries.

Sarkhosh Seddighi ChaharborjSchool of Mathematics and Statistics, Carleton University, Ottawa, ON, Canada.ORCID https://orcid.org/0000-0001-5894-6622

Shahriar Seddighi ChaharborjDepartment of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University, Tabriz, Iran.

Zahra Seddighi ChaharborjFaculty of Information Technology and Computer Engineering, Azarbaijan Shahid Madani University, Tabriz, Iran.

Pei See PhangDepartment of Mathematics, Faculty of Science, Universiti Putra Malaysia, Seri Kembangan, Malaysia.

Islamic Azad University of Tabriz · IRAzarbaijan Shahid Madani University · IRUniversiti Putra Malaysia · MY

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6 · The paper itself

Abstract

We investigate the dynamics of an ion confined in a Paul-trap supplied by a fractional periodic impulsional potential. The Cantor-type cylindrical coordinate method is a powerful tool to convert differential equations on Cantor sets from cantorian-coordinate systems to Cantor-type cylindrical coordinate systems. By applying this method to the classical Laplace equation, a fractional Laplace equation in the Cantor-type cylindrical coordinate is obtained. The fractional Laplace equation is solved in the Cantor-type cylindrical coordinate, then the ions is modelled and studied for confined ions inside a Paul-trap characterized by a fractional potential. In addition, the effect of the fractional parameter on the stability regions, ion trajectories, phase space, maximum trapping voltage, spacing between two signals and fractional resolution is investigated and discussed.

Indexed as

cantor-typecylindrical coordinatefractional parameterfraction ion motionmass separationPaul–trap

Identifiers

PMID34219490

DOI10.1177/14690667211026790

PMCPMC8422591

OpenAlexW3182603334

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