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Polyproline helix

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A polyproline helix is a type of protein secondary structure which occurs in proteins comprising repeating proline residues. A left-handed polyproline II helix ( PPII , poly-Pro II, κ-helix ) is formed when sequential residues all adopt (φ,ψ) backbone dihedral angles of roughly (-75°, 150°) and have trans isomers of their peptide bonds . This PPII conformation is also common in proteins and polypeptides with other amino acids apart from proline. Similarly, a more compact right-handed polyproline I helix ( PPI , poly-Pro I ) is formed when sequential residues all adopt (φ,ψ) backbone dihedral angles of roughly (-75°, 160°) and have cis isomers of their peptide bonds . Of the twenty common naturally occurring amino acids , only proline is likely to adopt the cis isomer of the peptide bond , specifically the X-Pro peptide bond; steric and electronic factors heavily favor the trans isomer in most other peptide bonds. However, peptide bonds that replace proline with another N -substituted amino acid (such as sarcosine ) are also likely to adopt the cis isomer.

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66-523: The PPII helix is defined by (φ,ψ) backbone dihedral angles of roughly (-75°, 150°) and trans isomers of the peptide bonds. The rotation angle Ω per residue of any polypeptide helix with trans isomers is given by the equation Substitution of the poly-Pro II (φ,ψ) dihedral angles into this equation yields almost exactly Ω = -120°, i.e., the PPII helix is a left-handed helix (since Ω is negative) with three residues per turn (360°/120° = 3). The rise per residue

132-424: A Bradbury–Nielsen or a field switching shutter are employed. Once in the drift tube, ions are subjected to a homogeneous electric field ranging from a few volts per centimetre up to many hundreds of volts per centimetre. This electric field then drives the ions through the drift tube where they interact with the neutral drift molecules contained within the system and separate based on the ion mobility , arriving at

198-457: A protein chain three dihedral angles are defined: The figure at right illustrates the location of each of these angles (but it does not show correctly the way they are defined). The planarity of the peptide bond usually restricts ω to be 180° (the typical trans case) or 0° (the rare cis case). The distance between the C atoms in the trans and cis isomers is approximately 3.8 and 2.9 Å, respectively. The vast majority of

264-427: A torsion angle is defined as a particular example of a dihedral angle, describing the geometric relation of two parts of a molecule joined by a chemical bond . Every set of three non-colinear atoms of a molecule defines a half-plane. As explained above, when two such half-planes intersect (i.e., a set of four consecutively-bonded atoms), the angle between them is a dihedral angle. Dihedral angles are used to specify

330-426: A "molecular ruler" in structural biology, e.g., to calibrate FRET efficiency measurements. However, subsequent experimental and theoretical studies have called into question this picture of a polyproline peptide as a "rigid rod". Further studies using terahertz spectroscopy and density functional theory calculations highlighted that polyproline is in fact much less rigid than originally thought. Interconversions between

396-536: A commercial product to be used as a routine tool for the field detection of explosives , drugs , and chemical weapons . Major manufacturers of IMS screening devices used in airports are Morpho and Smiths Detection . Smiths purchased Morpho Detection in 2017 and subsequently had to legally divest ownership of the Trace side of the business (Smiths have Trace Products) which was sold on to Rapiscan Systems in mid 2017. The products are listed under ETD Itemisers. The latest model

462-431: A defined set of intermediates along this process. Dihedral angle Right Interior Exterior Adjacent Vertical Complementary Supplementary Dihedral A dihedral angle is the angle between two intersecting planes or half-planes . In chemistry , it is the clockwise angle between half-planes through two sets of three atoms , having two atoms in common. In solid geometry , it

528-456: A detector after capillary gas chromatography has been produced in 2012. In this design, a hollow needle was used for corona discharge creation and the effluent was entered into the ionization region on the upstream side of the corona source. In addition to the practical conveniences in coupling the capillary to IMS cell, this direct axial interfacing helps us to achieve a more efficient ionization, resulting in higher sensitivity. When used with GC,

594-638: A differential mobility analyzer is often called a differential mobility detector ( DMD ). A DMD is often a type of microelectromechanical system , radio frequency modulated ion mobility spectrometry (MEMS RF-IMS) device. Though small, it can fit into portable units, such as transferable gas chromatographs or drug/explosives sensors. For instance, it was incorporated by Varian in its CP-4900 DMD MicroGC, and by Thermo Fisher in its EGIS Defender system, designed to detect narcotics and explosives in transportation or other security applications. Coupled with LC and MS, IMS has become widely used to analyze biomolecules,

660-410: A dihedral angle such that replacing b 0 {\displaystyle \mathbf {b} _{0}} with − b 0 {\displaystyle -\mathbf {b} _{0}} changes the sign of the angle, which can be between − π and π . In some scientific areas such as polymer physics , one may consider a chain of points and links between consecutive points. If

726-418: A given ion takes to traverse a given length in a uniform electric field through a given atmosphere. In specified intervals, a sample of the ions is let into the drift region; the gating mechanism is based on a charged electrode working in a similar way as the control grid in triodes works for electrons. For precise control of the ion pulse width admitted to the drift tube, more complex gating systems such as

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792-461: A group of researcher from Germany constructed and experimentally observed the first transmembrane PPII helix formed by specifically designed artificial peptides . The poly-Pro I helix is much denser than the PPII helix due to the cis isomers of its peptide bonds . It is also rarer than the PPII conformation because the cis isomer is higher in energy than the trans . Its typical dihedral angles (-75°, 160°) are close, but not identical to, those of

858-436: A higher rate of ion-molecule interactions and is typically used for stand-alone devices, as well as for detectors for gas, liquid, and supercriticial fluid chromatography. As shown above, the resolving power depends on the total voltage drop the ion traverses. Using a drift voltage of 25 kV in a 15 cm long atmospheric pressure drift tube, a resolving power above 250 is achievable even for small, single charged ions. This

924-470: A low electric field limit, where the ratio of E/N is small and thus the thermal energy of the ions is much greater than the energy gained from the electric field between collisions. With these ions having similar energies as the buffer gas molecules, diffusion forces dominate ion motion in this case. The ratio E / N is typically given in Townsends (Td) and the transition between low- and high-field conditions

990-727: A multi-dimensional separation. They come in various sizes, ranging from a few millimetres to several metres depending on the specific application, and are capable of operating under a broad range of conditions. IMS instruments such as microscale high-field asymmetric-waveform ion mobility spectrometry can be palm-portable for use in a range of applications including volatile organic compound (VOC) monitoring, biological sample analysis, medical diagnosis and food quality monitoring. Systems operated at higher pressure (i.e. atmospheric conditions, 1 atm or 1013 hPa) are often accompanied by elevated temperature (above 100 °C), while lower pressure systems (1–20 hPa) do not require heating. IMS

1056-427: A negative dihedral angle. When the two intersecting planes are described in terms of Cartesian coordinates by the two equations the dihedral angle, φ {\displaystyle \varphi } between them is given by: and satisfies 0 ≤ φ ≤ π / 2. {\displaystyle 0\leq \varphi \leq \pi /2.} It can easily be observed that

1122-471: A practice heavily developed by David E. Clemmer , now at Indiana University (Bloomington) . When IMS is used with mass spectrometry, ion mobility spectrometry-mass spectrometry offers many advantages, including better signal to noise, isomer separation, and charge state identification. IMS has commonly been attached to several mass spec analyzers, including quadropole, time-of-flight, and Fourier transform cyclotron resonance. Ion mobility mass spectrometry

1188-524: A research tool, ion mobility is becoming more widely used in the analysis of biological materials, specifically proteomics and metabolomics . For example, IMS-MS using MALDI as the ionization method has helped make advances in proteomics, providing faster high-resolution separations of protein pieces in analysis. Moreover, it is a really promising tool for glycomics , as rotationally averaged collision cross section (CCS) values can be obtained. CCS values are important distinguishing characteristics of ions in

1254-488: A scannable filter. Examples include the differential mobility detector first commercialized by Varian in the CP-4900 MicroGC. Aspiration IMS operates with open-loop circulation of sampled air. Sample flow is passed via ionization chamber and then enters to measurement area where the ions are deflected into one or more measuring electrodes by perpendicular electric field which can be either static or varying. The output of

1320-667: A small piece of Ni or Am , similar to the one used in ionization smoke detectors . ESI and MALDI techniques are commonly used when IMS is paired with mass spectrometry. Doping materials are sometimes added to the drift gas for ionization selectivity. For example, acetone can be added for chemical warfare agent detection, chlorinated solvents added for explosives, and nicotinamide added for drugs detection. Ion mobility spectrometers exist based on various principles, optimized for different applications. A review from 2014 lists eight different ion mobility spectrometry concepts. Drift tube ion mobility spectrometry (DTIMS) measures how long

1386-602: Is a method of conducting analytical research that separates and identifies ionized molecules present in the gas phase based on the mobility of the molecules in a carrier buffer gas. Even though it is used extensively for military or security objectives, such as detecting drugs and explosives, the technology also has many applications in laboratory analysis, including studying small and big biomolecules. IMS instruments are extremely sensitive stand-alone devices, but are often coupled with mass spectrometry , gas chromatography or high-performance liquid chromatography in order to achieve

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1452-418: Is a method used in multiple contexts, and the breadth of applications that it can support, in addition to its capabilities, is continually being expanded. Perhaps ion mobility spectrometry's greatest strength is the speed at which separations occur—typically on the order of tens of milliseconds. This feature combined with its ease of use, relatively high sensitivity, and highly compact design have allowed IMS as

1518-444: Is a non-radiation 4DX. In the pharmaceutical industry, IMS is used in cleaning validations , demonstrating that reaction vessels are sufficiently clean to proceed with the next batch of pharmaceutical product. IMS is much faster and more accurate than HPLC and total organic carbon methods previously used. IMS is also used for analyzing the composition of drugs produced, thereby finding a place in quality assurance and control. As

1584-593: Is a rather recently popularized gas phase ion analysis technique. As such there is not a large software offering to display and analyze ion mobility mass spectrometric data, apart from the software packages that are shipped along with the instruments. ProteoWizard, OpenMS, and msXpertSuite are free software according to the OpenSourceInitiative definition. While ProteoWizard and OpenMS have features to allow spectrum scrutiny, those software packages do not provide combination features. In contrast, msXpertSuite features

1650-464: Is affected by the values φ and ψ . For instance, there are direct steric interactions between the C γ of the side chain in the gauche rotamer and the backbone nitrogen of the next residue when ψ is near -60°. This is evident from statistical distributions in backbone-dependent rotamer libraries . Every polyhedron has a dihedral angle at every edge describing the relationship of the two faces that share that edge. This dihedral angle, also called

1716-432: Is also known as the syn - or cis -conformation; antiperiplanar as anti or trans ; and synclinal as gauche or skew . For example, with n - butane two planes can be specified in terms of the two central carbon atoms and either of the methyl carbon atoms. The syn -conformation shown above, with a dihedral angle of 60° is less stable than the anti -conformation with a dihedral angle of 180°. For macromolecular usage

1782-457: Is approximately 3.1 Å. This structure is somewhat similar to that adopted in the fibrous protein collagen , which is composed mainly of proline, hydroxyproline , and glycine . PPII helices are specifically bound by SH3 domains ; this binding is important for many protein-protein interactions and even for interactions between the domains of a single protein. The PPII helix is relatively open and has no internal hydrogen bonding , as opposed to

1848-508: Is assumed as the sole contributor to peak broadening, be calculated as where t D is the ion drift time, Δ t D is the Full width at half maximum , L is the tube length, E is the electric field strength, Q is the ion charge, k is the Boltzmann constant, and T is the drift gas temperature. Ambient pressure methods allow for higher resolving power and greater separation selectivity due to

1914-468: Is called the poly-Gly II helix . Some proteins, such as the antifreeze protein of Hypogastrura harveyi consist of bundles of glycine-rich polyglycine II helices. This remarkable protein, whose 3D structure is known, has unique NMR spectra and is stabilized by dimerization and 28 Cα-H··O=C hydrogen bonds. The PPII helix is not common in transmembrane proteins , and this secondary structure does not traverse lipid membranes in natural conditions. In 2018,

1980-420: Is defined as the union of a line and two half-planes that have this line as a common edge . In higher dimensions , a dihedral angle represents the angle between two hyperplanes . The planes of a flying machine are said to be at positive dihedral angle when both starboard and port main planes (commonly called "wings") are upwardly inclined to the lateral axis; when downwardly inclined they are said to be at

2046-423: Is highly populated in the PPII region, comparably to the beta sheet region around (-135°, 135°). For example, the PPII backbone dihedral angles are often observed in turns , most commonly in the first residue of a type II β-turn. The "mirror image" PPII backbone dihedral angles (75°, -150°) are rarely seen, except in polymers of the achiral amino acid glycine . The analog of the poly-Pro II helix in poly-glycine

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2112-580: Is noteworthy that the detector influences the optimum operating conditions for the ion mobility experiment. IMS can be combined with other separation techniques. When IMS is coupled with gas chromatography, common sample introduction is with the GC capillary column directly connected to the IMS setup, with molecules ionized as they elute from GC. A similar technique is commonly used for HPLC . A novel design for corona discharge ionization ion mobility spectrometry (CD–IMS) as

2178-545: Is required in above formulas, as the planes are not changed when changing all coefficient signs in one equation, or replacing one normal vector by its opposite. However the absolute values can be and should be avoided when considering the dihedral angle of two half planes whose boundaries are the same line. In this case, the half planes can be described by a point P of their intersection, and three vectors b 0 , b 1 and b 2 such that P + b 0 , P + b 1 and P + b 2 belong respectively to

2244-401: Is sufficient to achieve separation of some isotopologues based on their difference in reduced mass μ . Reduced pressure drift tubes operate using the same principles as their atmospheric pressure counterparts, but at drift gas pressure of only a few torr. Due to the vastly reduced number of ion-neutral interactions, much longer drift tubes or much faster ion shutters are necessary to achieve

2310-418: Is the drift gas number density , μ is the reduced mass of the ion and the drift gas molecules, k is Boltzmann constant , T is the drift gas temperature , and σ is the collision cross section between the ion and the drift gas molecules. Often, N is used instead of n for the drift gas number density and Ω instead σ for the ion-neutral collision cross section. This relation holds approximately at

2376-506: Is the travelling wave IMS, which is a low pressure drift tube IMS where the electric field is only applied in a small region of the drift tube. This region then moves along the drift tube, creating a wave pushing the ions towards the detector, removing the need for a high total drift voltage. A direct determination of collision cross sections (CCS) is not possible, using TWIMS. Calibrants can help circumvent this major drawback, however, these should be matched for size, charge and chemical class of

2442-497: Is typically estimated to occur between 2 Td and 10 Td. When low-field conditions no longer prevail, the ion mobility itself becomes a function of the electric field strength which is usually described empirically through the so-called alpha function. The molecules of the sample need to be ionized , usually by corona discharge , atmospheric pressure photoionization (APPI), electrospray ionization (ESI), or radioactive atmospheric-pressure chemical ionization (R-APCI) source, e.g.

2508-441: The face angle , is measured as the internal angle with respect to the polyhedron. An angle of 0° means the face normal vectors are antiparallel and the faces overlap each other, which implies that it is part of a degenerate polyhedron. An angle of 180° means the faces are parallel, as in a tiling . An angle greater than 180° exists on concave portions of a polyhedron. Every dihedral angle in an edge-transitive polyhedron has

2574-493: The lung (see Breath gas analysis ). The physical quantity ion mobility K is defined as the proportionality factor between an ion's drift velocity v d in a gas and an electric field of strength E . After making the necessary adjustments to account for the n0 standard gas density, ion mobilities are often expressed as reduced mobilities. This number can also be described as standard temperature T0 = 273 K and standard pressure p0 = 1013 hPa. Both of these can be found in

2640-653: The molecular conformation . Stereochemical arrangements corresponding to angles between 0° and ±90° are called syn (s), those corresponding to angles between ±90° and 180° anti (a). Similarly, arrangements corresponding to angles between 30° and 150° or between −30° and −150° are called clinal (c) and those between 0° and ±30° or ±150° and 180° are called periplanar (p). The two types of terms can be combined so as to define four ranges of angle; 0° to ±30° synperiplanar (sp); 30° to 90° and −30° to −90° synclinal (sc); 90° to 150° and −90° to −150° anticlinal (ac); ±150° to 180° antiperiplanar (ap). The synperiplanar conformation

2706-430: The vector quadruple product formula, and the fact that a scalar triple product is zero if it contains twice the same vector: Given the definition of the cross product , this means that φ {\displaystyle \varphi } is the angle in the clockwise direction of the fourth atom compared to the first atom, while looking down the axis from the second atom to the third. Special cases (one may say

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2772-494: The IMS instrument design and resolution. Often, different drift gas compositions can allow for the separation of otherwise overlapping peaks. Elevated gas temperature assists in removing ion clusters that may distort experimental measurements. Often the detector is a simple Faraday plate coupled to a transimpedance amplifier , however, more advanced ion mobility instruments are coupled with mass spectrometers in order to obtain both size and mass information simultaneously. It

2838-462: The PPII and PPI helix forms of poly-proline are slow, due to the high activation energy of X-Pro cis-trans isomerization ( E a ≈ 20 kcal/mol); however, this interconversion may be catalyzed by specific isomerases known as prolyl isomerases or PPIases. The interconversion between the PPII and PPI helices involve the cis-trans peptide bond isomerization along the whole peptide chain. Studies based on ion-mobility spectrometry revealed existence of

2904-568: The PPII helix. However, the PPI helix is a right-handed helix and more tightly wound, with roughly 3.3 residues per turn (rather than 3). The rise per residue in the PPI helix is also much smaller, roughly 1.9 Å. Again, there is no internal hydrogen bonding in the poly-Pro I helix, both because an H-bond donor atom is lacking and because the amide nitrogen and oxygen atoms are too distant (roughly 3.8 Å again) and oriented incorrectly. Traditionally, PPII has been considered to be relatively rigid and used as

2970-589: The US Army has more than 50,000 IMS devices. In industrial settings, uses of IMS include checking equipment cleanliness and detecting emission contents, such as determining the amount of hydrochloric and hydrofluoric acid in a stack gas from a process. It is also applied in industrial purposes to detect harmful substances in air. In metabolomics , the IMS is used to detect lung cancer , chronic obstructive pulmonary disease , sarcoidosis , potential rejections after lung transplantation and relations to bacteria within

3036-430: The angle is independent of d 1 {\displaystyle d_{1}} and d 2 {\displaystyle d_{2}} . Alternatively, if n A and n B are normal vector to the planes, one has where n A  ·  n B is the dot product of the vectors and | n A | | n B | is the product of their lengths. The absolute value

3102-472: The application of radio frequency (rf) potentials results in trapping in the radial dimension. TIMS operates in the pressure range of 2 to 5 hPa and replaces the ion funnel found in the source region of modern mass spectrometers. It can be coupled with nearly any mass analyzer through either the standard mode of operation for beam-type instruments or selective accumulation mode (SA-TIMS) when used with trapping mass spectrometry (MS) instruments. Effectively,

3168-466: The detector for measurement. Ions are recorded at the detector in order from the fastest to the slowest, generating a response signal characteristic for the chemical composition of the measured sample. The ion mobility K can then be experimentally determined from the drift time t D of an ion traversing within a homogeneous electric field the potential difference U in the drift length L . A drift tube's resolving power R P can, when diffusion

3234-424: The dihedral angle between two consecutive such half-planes. If u 1 , u 2 and u 3 are three consecutive bond vectors, the intersection of the half-planes is oriented, which allows defining a dihedral angle that belongs to the interval (− π , π ] . This dihedral angle is defined by or, using the function atan2 , This dihedral angle does not depend on the orientation of the chain (order in which

3300-527: The drift cell is prolonged by the ion motion created through the gas flow. Thus, TIMS devices do neither require large size nor high voltage in order to achieve high resolution, for instance achieving over 250 resolving power from a 4.7 cm device through the use of extended separation times. However, the resolving power strongly depends on the ion mobility and decreases for more mobile ions. In addition, TIMS can be capable of higher sensitivity than other ion mobility systems because no grids or shutters exist in

3366-464: The gas phase, and in addition to the empirical determinations, it can also be calculated computationally when the 3D structure of the molecule is known. This way, adding CCS values of glycans and their fragments to databases will increase structural identification confidence and accuracy. Outside of laboratory purposes, IMS has found great usage as a detection tool for hazardous substances. More than 10,000 IMS devices are in use worldwide in airports, and

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3432-426: The given analyte. An especially noteworthy variant is the "SUPER" IMS, which combines ion trapping by the so-called structures for lossless ion manipulations (SLIM) with several passes through the same drift region to achieve extremely high resolving powers. In trapped ion mobility spectrometry (TIMS), ions are held stationary (or trapped) in a flowing buffer gas by an axial electric field gradient (EFG) profile while

3498-574: The intersection line, the first half plane, and the second half plane. The dihedral angle of these two half planes is defined by and satisfies 0 ≤ φ < π . {\displaystyle 0\leq \varphi <\pi .} In this case, switching the two half-planes gives the same result, and so does replacing b 0 {\displaystyle \mathbf {b} _{0}} with − b 0 . {\displaystyle -\mathbf {b} _{0}.} In chemistry (see below), we define

3564-527: The ion path, improving ion transmission both during ion mobility experiments and while operating in a transparent MS only mode. DMS ( differential mobility spectrometer ) or FAIMS ( field asymmetric ion mobility spectrometer ) make use of the dependence of the ion mobility K on the electric field strength E at high electric fields. Ions are transported through the device by the drift gas flow and subjected to different field strengths in orthogonal direction for different amounts of time. Ions are deflected towards

3630-543: The more common helical secondary structures , the alpha helix and its relatives the 3 10 helix and the pi helix , as well as the β-helix . The amide nitrogen and oxygen atoms are too far apart (approximately 3.8 Å) and oriented incorrectly for hydrogen bonding. Moreover, these atoms are both H-bond acceptors in proline; there is no H-bond donor due to the cyclic side chain. The PPII backbone dihedral angles (-75°, 150°) are observed frequently in proteins, even for amino acids other than proline . The Ramachandran plot

3696-412: The peptide bonds in proteins are trans , though the peptide bond to the nitrogen of proline has an increased prevalence of cis compared to other amino-acid pairs. The side chain dihedral angles are designated with χ n (chi- n ). They tend to cluster near 180°, 60°, and −60°, which are called the trans , gauche , and gauche conformations. The stability of certain sidechain dihedral angles

3762-431: The point are considered) — reversing this ordering consists of replacing each vector by its opposite vector, and exchanging the indices 1 and 3. Both operations do not change the cosine, but change the sign of the sine. Thus, together, they do not change the angle. A simpler formula for the same dihedral angle is the following (the proof is given below) or equivalently, This can be deduced from previous formulas by using

3828-443: The points are sequentially numbered and located at positions r 1 , r 2 , r 3 , etc. then bond vectors are defined by u 1 = r 2 − r 1 , u 2 = r 3 − r 2 , and u i = r i+1 − r i , more generally. This is the case for kinematic chains or amino acids in a protein structure . In these cases, one is often interested in the half-planes defined by three consecutive points, and

3894-513: The same resolving power. However, the reduced pressure operation offers several advantages. First, it eases interfacing the IMS with mass spectrometry. Second, at lower pressures, ions can be stored for injection from an ion trap and re-focussed radially during and after the separation. Third, high values of E / N can be achieved, allowing for direct measurement of K ( E / N ) over a wide range. Though drift electric fields are normally uniform, non-uniform drift fields can also be used. One example

3960-487: The same value. This includes the 5 Platonic solids , the 13 Catalan solids , the 4 Kepler–Poinsot polyhedra , the two quasiregular solids, and two quasiregular dual solids. Given 3 faces of a polyhedron which meet at a common vertex P and have edges AP, BP and CP, the cosine of the dihedral angle between the faces containing APC and BPC is: This can be deduced from the spherical law of cosines . Ion-mobility spectrometry Ion mobility spectrometry ( IMS ) It

4026-425: The sensor is characteristic of the ion mobility distribution and can be used for detection and identification purposes. A DMA can separate charged aerosol particles or ions according to their mobility in an electric field prior to their detection, which can be done with several means, including electrometers or the more sophisticated mass spectrometers. The drift gas composition is an important parameter for

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4092-423: The symbols T, C, G , G , A and A are recommended (ap, sp, +sc, −sc, +ac and −ac respectively). A Ramachandran plot (also known as a Ramachandran diagram or a [ φ , ψ ] plot), originally developed in 1963 by G. N. Ramachandran , C. Ramakrishnan, and V. Sasisekharan, is a way to visualize energetically allowed regions for backbone dihedral angles ψ against φ of amino acid residues in protein structure . In

4158-470: The table below. Ion concentrations are another term that may be used when referring to ion mobilities. Because of this, the decreased ion mobility is still temperature-dependent, although this adjustment does not consider any impacts other than the reduction in gas density. The ion mobility K can, under a variety of assumptions, be calculated by the Mason–Schamp equation. where Q is the ion charge , n

4224-424: The usual cases) are φ = π {\displaystyle \varphi =\pi } , φ = + π / 3 {\displaystyle \varphi =+\pi /3} and φ = − π / 3 {\displaystyle \varphi =-\pi /3} , which are called the trans , gauche , and gauche conformations. In stereochemistry ,

4290-431: The walls of the analyzer based on the change of their mobility. Thereby only ions with a certain mobility dependence can pass the thus created filter A differential mobility analyzer ( DMA ) makes use of a fast gas stream perpendicular to the electric field. Thereby ions of different mobilities undergo different trajectories. This type of IMS corresponds to the sector instruments in mass spectrometry . They also work as

4356-612: Was first developed primarily by Earl W. McDaniel of Georgia Institute of Technology in the 1950s and 1960s when he used drift cells with low applied electric fields to study gas phase ion mobilities and reactions. In the following decades, he integrated the recently developed technology he had been working on with a magnetic-sector mass spectrometer. During this period, others also utilized his techniques in novel and original ways. Since then, IMS cells have been included in various configurations of mass spectrometers, gas chromatographs, and high-performance liquid chromatography instruments. IMS

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