The quadrupole mass analyzer (QMS) is one type of mass analyzer used in mass spectrometry. It is also known as a transmission quadrupole mass spectrometer, quadrupole mass filter, or quadrupole mass spectrometer. As the name implies, it consists of four cylindrical rods, set parallel to each other.[1] In a quadrupole mass spectrometer the quadrupole is the mass analyzer - the component of the instrument responsible for selecting sample ions based on their mass-to-charge ratio (m/z). Ions are separated in a quadrupole based on the stability of their trajectories in the oscillating electric fields that are applied to the rods.[1]

## Principle of operation

Image from "Apparatus For Separating Charged Particles Of Different Specific Charges" Patent number: 2939952 [2]

The quadrupole consists of four parallel metal rods. Each opposing rod pair is connected together electrically, and a radio frequency (RF) voltage with a DC offset voltage is applied between one pair of rods and the other. Ions travel down the quadrupole between the rods. Only ions of a certain mass-to-charge ratio will reach the detector for a given ratio of voltages: other ions have unstable trajectories and will collide with the rods. This permits selection of an ion with a particular m/z or allows the operator to scan for a range of m/z-values by continuously varying the applied voltage.[1] Mathematically this can be modeled with the help of the Mathieu differential equation.[3]

Ideally, the rods are hyperbolic. Cylindrical rods with a specific ratio of rod diameter-to-spacing provide an easier-to-manufacture adequate approximation to hyperbolas. Small variations in the ratio have large effects on resolution and peak shape. Different manufacturers choose slightly different ratios to fine-tune operating characteristics in context of anticipated application requirements. In recent decades some manufacturers have produced quadrupole mass spectrometers with true hyperbolic rods.

## Multiple quadrupoles, hybrids and variations

A linear series of three quadrupoles is known as a triple quadrupole mass spectrometer. The first (Q1) and third (Q3) quadrupoles act as mass filters, and the middle (q2) quadrupole is employed as a collision cell. This collision cell is an RF-only quadrupole (non-mass filtering) using Ar, He, or N2 gas (~10−3 Torr, ~30 eV) for collision induced dissociation of selected parent ion(s) from Q1. Subsequent fragments are passed through to Q3 where they may be filtered or fully scanned.

This process allows for the study of fragments that are useful in structural elucidation by tandem mass spectrometry. For example, the Q1 may be set to 'filter' for a drug ion of known mass, which is fragmented in q2. The third quadrupole (Q3) can then be set to scan the entire m/z range, giving information on the intensities of the fragments. Thus, the structure of the original ion can be deduced.

The arrangement of three quadrupoles was first developed by Jim Morrison of LaTrobe University, Australia for the purpose of studying the photodissociation of gas-phase ions.[4] The first triple-quadrupole mass spectrometer was developed at Michigan State University by Christie Enke and graduate student Richard Yost in the late 1970s.[5]

Quadrupoles can be used in hybrid mass spectrometers. For example, a sector instrument can be combined with a collision quadrupole and quadrupole mass analyzer to form a hybrid instrument.[6]

A mass selecting quadrupole and collision quadrupole with time-of-flight device as the second mass selection stage is a hybrid known as a quadrupole time-of-flight mass spectrometer (QTOF MS).[7][8] QqTOFs are used for the mass spectrometry of peptides and other large biological polymers.[9]

A variant of the quadrupole mass analyzer called the monopole was invented by von Zahn which operates with two electrodes and generates one quarter of the quadrupole field.[10] It has one circular electrode and one vee shaped electrode. The performance is however inferior to that of the quadrupole mass analyzer.

An enhancement to the performance of the quadrupole mass analyzer has been demonstrated to occur when a magnetic field is applied to the instrument. Manyfold improvements in resolution and sensitivity have been reported for a magnetic field applied in various orientations to a QMS.[11][12]

## Applications

These mass spectrometers excel at applications where particular ions of interest are being studied because they can stay tuned on a single ion for extended periods of time. One place where this is useful is in liquid chromatography-mass spectrometry or gas chromatography-mass spectrometry where they serve as exceptionally high specificity detectors. Quadrupole instruments are often reasonably priced and make good multi-purpose instruments. The single quadrupole mass spectrometer with electron impact ionizer is used as a standalone analyser in Residual Gas Analyzers, real time gas analyzers, Plasma_ion_analyzer and SIMS surface analysis systems.

## References

1. ^ a b c de Hoffmann, Edmond; Vincent Stroobant (2003). Mass Spectrometry: Principles and Applications (Second ed.). Toronto: John Wiley & Sons, Ltd. p. 65. ISBN 978-0-471-48566-7.
2. ^ US 2939952  Apparatus For Separating Charged Particles Of Different Specific Charges Jun 1960; Paul et al.
3. ^
4. ^ Morrison, J. D. (1991). "Personal reminiscences of forty years of mass spectrometry in Australia". Organic Mass Spectrometry. 26 (4): 183–194. doi:10.1002/oms.1210260404.
5. ^ Yost, R. A.; Enke, C. G. (1978). "Selected ion fragmentation with a tandem quadrupole mass spectrometer" (PDF). Journal of the American Chemical Society. 100 (7): 2274. doi:10.1021/ja00475a072.
6. ^ Glish, G.; McLuckey, S; Ridley, T; Cooks, R (1982). "A new "hybrid" sector/quadrupole mass spectrometer for mass spectrometry/mass spectrometry". International Journal of Mass Spectrometry and Ion Physics. 41 (3): 157. Bibcode:1982IJMSI..41..157G. doi:10.1016/0020-7381(82)85032-8.
7. ^ Shevchenko A; Loboda A; Shevchenko A; Ens W; Standing KG (May 2000). "MALDI quadrupole time-of-flight mass spectrometry: a powerful tool for proteomic research". Anal. Chem. 72 (9): 2132–41. doi:10.1021/ac9913659. PMID 10815976.
8. ^ Steen H; Küster B; Mann M (July 2001). "Quadrupole time-of-flight versus triple-quadrupole mass spectrometry for the determination of phosphopeptides by precursor ion scanning". J Mass Spectrom. 36 (7): 782–90. Bibcode:2001JMSp...36..782S. doi:10.1002/jms.174. PMID 11473401.
9. ^ Chernushevich, Igor V. (2001). "An introduction to quadrupole–time-of-flight mass spectrometry". Journal of Mass Spectrometry. 36 (8): 849–865. Bibcode:2001JMSp...36..849C. doi:10.1002/jms.207. PMID 11523084.
10. ^ U von Zahn (1963). "Monopole Spectrometer, a New Electric Field Mass Spectrometer". Rev. Sci. Instrum. 34 (1): 1–4. Bibcode:1963RScI...34....1V. doi:10.1063/1.1718110.
11. ^ Syed S; Maher S; Taylor S (2013). "Quadrupole mass filter operation under the influence of magnetic field". Journal of Mass Spectrometry. 48 (12): 1325–1339. Bibcode:2013JMSp...48.1325S. doi:10.1002/jms.3293. PMID 24338888.
12. ^ Maher S; Syed S; Hughes D; Gibson J; Taylor S (2013). "Mapping the stability diagram of a quadrupole mass spectrometer with a static transverse magnetic field applied". Journal of the American Society for Mass Spectrometry. 24 (8): 1307–1314. Bibcode:2013JASMS..24.1307M. doi:10.1007/s13361-013-0654-5. PMID 23720050.