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Gandhi VD, Larriba-Andaluz C. Predicting ion mobility as a function of the electric field for small ions in light gases. Anal Chim Acta 2021; 1184:339019. [PMID: 34625252 DOI: 10.1016/j.aca.2021.339019] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/08/2021] [Revised: 08/07/2021] [Accepted: 08/30/2021] [Indexed: 12/01/2022]
Abstract
High resolution mobility devices such as Field Asymmetric Waveform Ion Mobility Spectrometry (FAIMS) and Differential Mobility spectrometers (DMS) use strong electric fields to gas concentration ratios, E/N, to separate ions in the gas phase. While extremely successful, their empirical results show a non-linear, ion-dependent relation between mobility K and E/N that is difficult to characterize. The one-temperature theory Mason-Schamp equation, which is the most widely used ion mobility equation, unfortunately, cannot capture this behavior. When the two-temperature theory is used, it can be shown that the K-E/N behavior can be followed quite closely numerically by equating the effect of increasing the field to an increase in the ion temperature. This is attempted here for small ions in a Helium gas environment showing good agreement over the whole field range. To improve the numerical characterization, the Lennard-Jones (L-J) potentials may be optimized. This is attempted for Carbon, Hydrogen, Oxygen and Nitrogen at different degrees of theory up to the fourth approximation, which is assumed to be exact. The optimization of L-J improves the accuracy yielding errors of about 3% on average. The fact that a constant set of L-J potentials work for the whole range of E/N and for several molecules, also suggests that inelastic collisions can be circumvented in calculations for He. The peculiar K-E/N hump behaviors are studied, and whether mobility increases or decreases with E/N is shown to derive from a competition between relative kinetic energy and the interaction potentials.
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Affiliation(s)
- Viraj D Gandhi
- Mechanical Engineering, Purdue University, 610 Purdue Mall, West Lafayette, 47907, Indiana, United States; Mechanical Engineering, Indiana University Purdue University - Indianapolis, 723 W Michigan Street, Indianapolis, 46202, Indiana, United States
| | - Carlos Larriba-Andaluz
- Mechanical Engineering, Indiana University Purdue University - Indianapolis, 723 W Michigan Street, Indianapolis, 46202, Indiana, United States.
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Larriba-Andaluz C, Prell JS. Fundamentals of ion mobility in the free molecular regime. Interlacing the past, present and future of ion mobility calculations. INT REV PHYS CHEM 2020. [DOI: 10.1080/0144235x.2020.1826708] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Affiliation(s)
- Carlos Larriba-Andaluz
- Department of Mechanical Engineering, Indiana University-Purdue University Indianapolis, Indianapolis, IN, USA
| | - James S. Prell
- Department of Chemistry and Biochemistry, University of Oregon, Eugene, OR, USA
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Takahashi K, Moriya K, Matoba S, Koizumi T, Tanuma H. Mobilities of Li+-attached butanol isomers in helium gas at 85.5 K. Chem Phys Lett 2018. [DOI: 10.1016/j.cplett.2017.11.036] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Spesyvyi A, Španěl P. Determination of residence times of ions in a resistive glass selected ion flow-drift tube using the Hadamard transformation. RAPID COMMUNICATIONS IN MASS SPECTROMETRY : RCM 2015; 29:1563-1570. [PMID: 28339157 DOI: 10.1002/rcm.7254] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/16/2015] [Revised: 06/11/2015] [Accepted: 06/11/2015] [Indexed: 06/06/2023]
Abstract
RATIONALE Selected ion flow tube mass spectrometry, SIFT-MS, used for trace gas analyses has certain fundamental limitations that could be alleviated by adding a facility that allows reaction times and ion interaction energies to be varied. Thus, a selected ion flow-drift tube, SIFDT, has been created to explore the influence of an embedded electric field on these parameters and on reaction processes. METHODS The new SIFTD instrument was constructed using a miniature resistive glass drift tube. Arrival times of ions, t, analysed by a downstream quadrupole mass spectrometer over the m/z range 10-100 were studied by modulating the injected ion current using a gate lens. Single pulse modulation was compared with pseudorandom time multiplexing exploiting the Hadamard transformation. A simple model involving analysis of ethanol and water vapour mixture in air was used to explore the advantages of the SIFDT concept to SIFT-MS analysis. RESULTS It is shown that the resistive glass drift tube is suitable for SIFDT experiments. The Hadamard transformation can be used to routinely determine reagent ion residence time in the flow-drift tube and also to observe differences in arrival times for different product ions. Two-dimensional data combining arrival time and mass spectra can be obtained rapidly. The calculated ion drift velocities vary with the reduced field strength, E/N, and the calculated ion mobilities agree with theoretical and previous literature values. CONCLUSIONS This study has provided evidence that the SIFDT-MS technique can be implemented in a miniature and low-cost instrument and two- or three-dimensional data can be obtained (product ion count rates as functions of m/z, t and E/N) using the Hadamard transformation thus providing exciting possibilities for further analytical additions and extensions of the SIFT-MS technique. Copyright © 2015 John Wiley & Sons, Ltd.
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Affiliation(s)
- Anatolii Spesyvyi
- J. Heyrovsky Institute of Physical Chemistry of Science, Academy of Science of the Czech Republic, Dolejškova 3, 18223, Prague 8, Czech Republic
- Department of Surface and Plasma Science, Faculty of Mathematics and Physics, Charles University in Prague, V Holešovičkách 2, 18000, Prague, Czech Republic
| | - Patrik Španěl
- J. Heyrovsky Institute of Physical Chemistry of Science, Academy of Science of the Czech Republic, Dolejškova 3, 18223, Prague 8, Czech Republic
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Withers CD, Wright TG, Viehland LA, Grossman L, Kirkpatrick CC, Lee EPF. Theoretical study of Cl−RG (rare gas) complexes and transport of Cl− through RG (RG = He–Rn). J Chem Phys 2011; 135:024312. [DOI: 10.1063/1.3598472] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Jalili AH, Abbaspour A, Behnejad H, Viehland LA. Determination of and interaction potentials from gaseous ion mobility data. Mol Phys 2010. [DOI: 10.1080/00268970903490143] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- Amir H. Jalili
- a Gas Science Department , Research Institute of Petroleum Industry (RIPI), National Iranian Oil Company (NIOC) , P.O. Box 14665-137, West Blvd. Azadi Sports Complex, Tehran, Iran
| | - Ali Abbaspour
- b School of Chemistry , University College of Science, University of Tehran , Tehran, Iran
| | - Hassan Behnejad
- b School of Chemistry , University College of Science, University of Tehran , Tehran, Iran
| | - Larry A. Viehland
- c Department of Science , Chatham University , Pittsburgh, Pennsylvania 15232, USA
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Danailov DM, Viehland LA, Johnsen R, Wright TG, Dickinson AS. Transport of O+ through argon gas. J Chem Phys 2008; 128:134302. [DOI: 10.1063/1.2898523] [Citation(s) in RCA: 42] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Accurate potential energy curves for Zn+–Rg (Rg=He–Rn): Spectroscopy and transport coefficients. Chem Phys Lett 2007. [DOI: 10.1016/j.cplett.2007.10.104] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Yousef A, Shrestha S, Viehland LA, Lee EPF, Gray BR, Ayles VL, Wright TG, Breckenridge WH. Interaction potentials and transport properties of coinage metal cations in rare gases. J Chem Phys 2007; 127:154309. [DOI: 10.1063/1.2774977] [Citation(s) in RCA: 80] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/12/2023] Open
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Danailov DM, Viehland LA, Johnsen R, Wright TG, Lee EPF. Interaction potential and transport properties of NeO+. J Chem Phys 2007; 127:084303. [PMID: 17764244 DOI: 10.1063/1.2762221] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2023] Open
Abstract
The results of both experimental and theoretical studies of the mobility of O(+) in Ne are reported. Errors in the experiments have been carefully assessed, allowing the obtained data to serve as stringent tests of the ab initio potentials. These potentials were calculated using the RCCSD(T) method, employing basis sets of quintuple-zeta quality. Curves were calculated for the lowest (4)Sigma(-) state [arising from O(+)((4)S) interacting with Ne] and for the (2)Pi state [arising from O(+)((2)D) interacting with Ne]. Then, the effects of spin-orbit coupling were incorporated by using the Breit-Pauli operator. The resulting ground state (Omega=32) of NeO(+) gives mobility values in good agreement with experiment at all field strengths. Values of spectroscopic quantities for the ground electronic state of NeO(+) are also presented.
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Affiliation(s)
- Daniel M Danailov
- Science Division, Chatham University, Pittsburgh, Pennsylvania 15206, USA
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Howorka F, Feshsenfeld FC, Albritton DL. H+and D+ions in He: observations of a runaway mobility. ACTA ACUST UNITED AC 2001. [DOI: 10.1088/0022-3700/12/24/024] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Fhadil HA, Mathur D, Hasted JB. Mobilities of O+, O+* and O22+in He and Ar from ion energy distribution measurements in an injected-ion drift tube. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0022-3700/15/9/019] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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de Gouw JA, Ding LN, Krishnamurthy M, Lee HS, Anthony EB, Bierbaum VM, Leone SR. The mobilities of NO+(CH3CN)n cluster ions (n=0–3) drifting in helium and in helium–acetonitrile mixtures. J Chem Phys 1996. [DOI: 10.1063/1.472968] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022] Open
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Ha T, Suter HU, Nguyen MT. Is acetylene radical anion with a trans–bent form observed in matrix experiment? An ab initio study. J Chem Phys 1996. [DOI: 10.1063/1.472491] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Solvated Cluster Ions. ACTA ACUST UNITED AC 1994. [DOI: 10.1007/978-3-642-84985-5_5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/07/2023]
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Glosik J, Jordan A, Skalsky V, Lindinger W. Collision induced dissociation of the isometric ions H2COOH+ and HC(OH)+12. ACTA ACUST UNITED AC 1993. [DOI: 10.1016/0168-1176(93)87034-p] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Lee HS, Johnsen R. Ion–ion recombination studies in ambient helium and argon at atmospheric densities. J Chem Phys 1989. [DOI: 10.1063/1.456349] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Böhringer H, Fahey D, Lindinger W, Howorka F, Fehsenfeld F, Albritton D. Mobilities of several mass-identified positive and negative ions in air. ACTA ACUST UNITED AC 1987. [DOI: 10.1016/0168-1176(87)80005-8] [Citation(s) in RCA: 26] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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Shul RJ, Passarella R, Yang XL, Keesee RG, Castleman AW. Studies of the energy dependence of reactions of Ar+ and Ar+2 with CH4 and CS2. J Chem Phys 1987. [DOI: 10.1063/1.453224] [Citation(s) in RCA: 24] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Burley JD, Ervin KM, Armentrout PB. Translational energy dependence of O+(4S)+N2→NO++N from thermal energies to 30 eV c.m. J Chem Phys 1987. [DOI: 10.1063/1.452144] [Citation(s) in RCA: 54] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Böhringer H, Durup‐Ferguson M, Fahey DW. Mobilities of various mass‐identified positive ions in helium, neon, and argon. J Chem Phys 1983. [DOI: 10.1063/1.445979] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Albritton DL, Dotan I, Streit GE, Fahey DW, Fehsenfeld FC, Ferguson EE. Energy dependence of the O− transfer reactions of O3− and CO3− with NO and SO2. J Chem Phys 1983. [DOI: 10.1063/1.444659] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Babcock LM, Streit GE. Ion–molecule reactions of SF6: Determination of I.P.(SF5), A.P.(SF5+/SF6), and D(SF5–F). J Chem Phys 1981. [DOI: 10.1063/1.440934] [Citation(s) in RCA: 50] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Streit GE, Newton TW. Negative ion–uranium hexafluoride charge transfer reactions. J Chem Phys 1980. [DOI: 10.1063/1.440555] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Thomas R, Barassin J, Barassin A. Mobilites et coefficients de diffusion longitudinale des ions: Ar+ et CHx+ dans l'helium. ACTA ACUST UNITED AC 1979. [DOI: 10.1016/0020-7381(79)83024-7] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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Viehland LA, Mason EA. On the choice of buffer gas mixtures for drift‐tube studies of ion–neutral reactions. J Chem Phys 1979. [DOI: 10.1063/1.437730] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Dotan I, Fehsenfeld FC, Albritton DL. Energy dependence of the reaction of O+2 with CH4. J Chem Phys 1978. [DOI: 10.1063/1.435668] [Citation(s) in RCA: 42] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Huang SS, Freeman GR. Electron mobilities in gaseous, critical, and liquid xenon: Density, electric field, and temperature effects: Quasilocalization. J Chem Phys 1978. [DOI: 10.1063/1.435954] [Citation(s) in RCA: 175] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Dotan I, Lindinger W, Albritton DL. Mobilities of H2O+ and H3O+⋅nH2O (n=0,1,2) ions in He. J Chem Phys 1977. [DOI: 10.1063/1.434810] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Dotan I, Albritton DL, Fehsenfeld FC. Mobilities of F−, Cl−, Br−, and I− ions in He. J Chem Phys 1977. [DOI: 10.1063/1.434148] [Citation(s) in RCA: 27] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Viehland LA, Mason EA. Statistical–mechanical theory of gaseous ion–molecule reactions in an electrostatic field. J Chem Phys 1977. [DOI: 10.1063/1.433987] [Citation(s) in RCA: 100] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Albritton DL, Dotan I, Lindinger W, McFarland M, Tellinghuisen J, Fehsenfeld FC. Effects of ion speed distributions in flow‐drift tube studies of ion–neutral reactions. J Chem Phys 1977. [DOI: 10.1063/1.433986] [Citation(s) in RCA: 159] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Dotan I, Davidson JA, Streit GE, Albritton DL, Fehsenfeld FC. A study of the reaction O−3+CO2?CO−3+O2 and its implication on the thermochemistry of CO3 and O3 and their negative ions. J Chem Phys 1977. [DOI: 10.1063/1.435155] [Citation(s) in RCA: 62] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Davidson JA, Fehsenfeld FC, Howard CJ. The heats of formation of NO3? and NO3? association complexes with HNO3 and HBr. INT J CHEM KINET 1977. [DOI: 10.1002/kin.550090104] [Citation(s) in RCA: 107] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Dotan I, Albritton DL, Lindinger W, Pahl M. Mobilities of CO2+, N2H+, H3O+, H3O+⋅H2O, and H3O+⋅ (H2O)2 ions in N2. J Chem Phys 1976. [DOI: 10.1063/1.432943] [Citation(s) in RCA: 47] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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