Fields for multi-reflecting TOF MS
11049712 · 2021-06-29
Assignee
Inventors
Cpc classification
H01J49/0031
ELECTRICITY
International classification
Abstract
A multi-reflecting time-of-flight mass spectrometer MR TOF with an orthogonal accelerator (40) is improved with at least one deflector (30) and/or (30R) in combination with at least one wedge field (46) for denser folding of ion rays (73). Systematic mechanical misalignments (72) of ion mirrors (71) may be compensated by electrical tuning of the instrument, as shown by resolution improvements between simulated peaks for non compensated case (74) and compensated one (75), and/or by an electronically controlled global electrostatic wedge/arc field within ion mirror (71).
Claims
1. A multi-reflecting time-of-flight mass spectrometer comprising: (a) a pulsed ion emitter having a pulsed acceleration region and a static acceleration region to accelerate ions substantially along an X-direction; said pulsed ion emitter configured to emit ion packets at an inclination angle α.sub.0 to said X-direction; (b) a pair of parallel gridless ion mirrors separated by a drift space; wherein electrodes of said ion mirrors are substantially elongated in a Z-direction that is orthogonal to said X-direction so as to form a substantially two-dimensional electrostatic field in the XY-plane orthogonal to said Z-direction; (c) a time-of-flight detector; (d) at least one electrostatic ion deflector arranged for deflecting ion trajectories by angle ψ in the XZ plane; and (e) at least one electrode structure configured to form a local wedge electrostatic field having equipotential field lines that are tilted with respect to the Z-direction, said at least one electrode structure being arranged to steer the ion trajectories by inclination angle ϕ in the XZ plane; wherein said angles ψ and ϕ are arranged for denser folding of the ion trajectories at inclination angle α to the X-direction that is smaller than said angle α.sub.0.
2. The spectrometer as in claim 1, wherein said ion emitter comprises a continuous ion source, generating an ion beam at mean specific energy U.sub.Z in the Z-direction and an orthogonal accelerator in the form of said pulsed ion emitter for pulsed ion acceleration substantially along the X-direction to specific energy U.sub.X, thus forming ion packets emitted at said inclination angle α.sub.0=(U.sub.Z/U.sub.X).sup.0.5 to said X-direction.
3. The spectrometer as in claim 1, wherein said ion emitter comprises a transverse ion confinement device selected from the group of: (i) a radiofrequency rectilinear multipolar ion guide; (ii) an electrostatic quadrupolar ion guide with ion beam compression and/or confinement in the X-direction; (iii) an electrostatic periodic lens; and (iv) an electrostatic ion guide having a quadrupolar field that is spatially alternated along the Z-direction.
4. The spectrometer as in claim 1, wherein a quadrupolar field is formed within said at least one ion deflector along the Z-direction, optionally by at least one electrode structure of the group of: (i) Matsuda plates; (ii) a gate shaped deflecting electrode; (iii) side shields of the deflector with an aspect ratio under 2; (iv) toroidal sector deflection electrodes; and (v) an electrode curvature within a trans-axial wedge deflector.
5. The spectrometer as in claim 4, wherein said quadrupolar field is adjustable for at least one purpose selected from the group of: (i) controlling the spatial focusing or defocusing of ion packets; (ii) arranging telescopic compression of the ion packets; (ii) compensating the second order time aberrations per Z-width in ion packets T|ZZ=0, either locally and/or globally.
6. The spectrometer as in claim 1, wherein said wedge field is located within said pulsed accelerating region and is arranged by an electrode structure selected from the group of: (i) a tilted pull, ground or push plate electrode; (ii) a tilted ion guide for spatial confinement of the ion beam within an ion storage region of the pulsed ion emitter; (iii) an auxiliary electrode around electrodes forming an ion storage region of the pulsed ion emitter for forming a non-equally penetrating fringing field through a window, or a mesh, or a gap into the ion storage region.
7. The spectrometer as in claim 1, wherein said wedge field is located within an ion retarding region of at least one of the ion mirrors and is arranged by an electrode structure selected from the group comprising: (i) a wedge-shaped slit oriented in the ZY-plane and located between mirror electrodes; (ii) at least one printed circuit board with discrete electrodes aligned in the Z-direction, connected via a resistive divider and located between mirror electrodes; (iii) a locally tilted portion of at least one electrode of said ion mirror; and (iv) at least one split portion of at least one electrode of said ion mirror, connected to a separate potential.
8. The spectrometer as in claim 1, wherein at least one of the following is provided: (i) said at least one deflector is located to receive ions after a first ion mirror reflection and optionally before a second ion mirror reflection; (ii) a lens or a trans-axial lens is provided at the exit of said pulsed ion emitter and at least one ion deflector is provided that is configured for ion packet defocusing, so as to provide telescopic compression of said ion packets; (iii) a lens located proximate one of said ion mirrors and arranged to receive ions reflected by that ion mirror in one mirror reflection and also after a second subsequent reflection from that ion mirror; (iv) a dual ion deflector arranged proximate said detector for causing the ions to bypass the detector's rim; and (v) a dual ion deflector with a spatially focusing quadrupolar field for reversing the ion drift motion in the Z-direction and compensating a tilt of the ion packet time front.
9. The spectrometer as in claim 1, further comprising at least one printed circuit board, located between electrodes of at least one of said mirrors; said board having discrete electrodes, connected to each other via a resistive chain and to a voltage supply for forming a wedge or arc shaped electrostatic field within the ion retarding region of the ion mirror for altering the ion packet time-front tilt.
10. The spectrometer as in claim 1 wherein electrodes of at least one of said ion mirror are made of one or more printed circuit boards having conductive pads; optionally having a rib mounted thereto for maintaining the flatness thereof.
11. The spectrometer as in claim 1, wherein said angles ψ and ϕ are arranged for causing ions to bypass rims of said pulsed ion emitter or ion deflector.
12. The spectrometer as in claim 1, wherein said angles ψ and ϕ are arranged for reversing ion drift motion in said Z-direction.
13. The spectrometer as in claim 1, wherein said at least one electrode structure is arranged to adjust the time front tilt angle γ of said ion packets in the XZ plane, and wherein said time front tilt angle γ and said ion deflecting angle ψ are set for compensation of the ion packets time front tilt angle induced by the ion deflector.
14. A multi-reflecting time-of-flight mass spectrometer comprising: (a) A pulsed ion emitter having pulsed acceleration region and static acceleration region with field strengths directed substantially along the X-direction; said pulsed source periodically emits ion packets at an inclination angle α.sub.0 to said X-direction; (b) A pair of parallel gridless ion mirrors separated by drift space; electrodes of said ion mirrors are substantially elongated in the Z-direction to form a substantially two-dimensional electrostatic field in the orthogonal XY-plane; said field provides for an isochronous repetitive multi-pass ion motion and spatial ion confinement along a zigzag mean ion trajectory lying within the XY symmetry plane; (c) A time-of-flight detector; (d) At least one electrically adjustable electrostatic deflector, numbered as n along the ion path and arranged for steering of ion trajectories for angles ψ.sub.n, associated with equal tilting of ion packets time front; (e) At least one, numbered as m along the ion flight path, electrode structure to form an adjustable local wedge electrostatic field with equipotential lines tilted with respect to the Z-direction, followed by electrostatic acceleration in Z-independent field; said at least one wedge field is arranged for the purpose of adjusting the time front tilt angle γ.sub.m of said ion packets, associated with steering of ion trajectories at a smaller inclination angle ϕ.sub.m; (f) Wherein said steering angles ψ and ϕ are arranged for denser folding of major portion of ion trajectories at inclination angles α being smaller than said angle α.sub.0; (g) Wherein said time front tilt angles ψ.sub.m and said ion steering angles ψ.sub.n are electrically adjusted for local mutual compensations of ion packets time front tilt angle induced by individual n-th deflector, said local compensation occurring within at most pair of ion mirror reflections.
15. A method of multi-reflecting time-of-flight mass spectrometry comprising: providing a spectrometer as claimed in claim 1; pulsing ions along the X-direction with the pulsed ion emitter so as to emit ion packets at said inclination angle α.sub.0; oscillating ions in the X-direction between the mirrors as the ions drift in the Z-direction; and deflecting the ion trajectories by angle ψ in the XZ plane using the ion deflector; wherein the time front tilt angle γ of the ion packets is adjusted, and the steering angle of the ion trajectories is adjusted by inclination angle ϕ, in the XZ plane, using said wedge electrostatic field and electrostatic acceleration field so as to more densely fold the ion trajectories at inclination angle α to the X-direction that is smaller than said angle α.sub.0.
16. The method of claim 15, comprising adjusting one or more voltages applied to the ion deflector and/or pulsed ion emitter so as to adjust the ion deflecting angle ψ and/or time front tilt angle γ so as to at least partially compensate for a time front tilt angle induced by the ion deflector.
17. The method as in claim 15, wherein said wedge field is arranged in at least one of said ion mirrors and so as to extends in the Z-direction by a distance such that ions reflected by that mirror between 2 and 4 times pass through the wedge field.
18. The method as in claim 15, comprising forming a wedge-shaped or curved electric field within the reflecting region of at least one ion mirror and along substantially the entire ion path in the Z-direction.
19. The method as in claim 15, wherein said compensating of the tilt angle of the ion packets time front comprises monitoring the resolution of the spectrometer whilst adjusting said deflecting angle and/or steering angle and/or ion beam energy at the entrance of said pulsed ion emitter.
20. The spectrometer as in claim 14, wherein said time front tilt angles γ.sub.m and said ion steering angles ψ.sub.n are electrically adjusted for the global mutual compensation at the detector face of ion packets time front tilt angle induced by misalignments of said ion source, of said ion mirrors and of said detector.
21. A method of multi-reflecting time-of-flight mass spectrometry comprising the following steps: (a) Arranging pulsed acceleration region and static acceleration region with field strengths directed substantially along the X-direction within a pulsed ion emitter for periodically emitting ion packets at an inclination angle α.sub.0 to said X-direction; (b) Forming a two dimensional electrostatic field in an XY-plane, substantially elongated in first Z-direction within parallel ion mirrors electrodes separated by a drift space; said field provides for an isochronous repetitive multi-pass ion motion and spatial ion confinement along a zigzag mean ion trajectory lying within the XY symmetry plane, but without affecting ion drift motion in the Z-direction; (c) Detecting ions on a time-of-flight detector; (d) Steering of ion trajectories for electrically adjustable angles ψ.sub.n, associated with equal tilting of ion packets time front within at least one electrostatic deflector, numbered as n along the ion path; (e) Forming at least one electrically adjustable local wedge electrostatic field with equipotential lines tilted with respect to the Z-direction, numbered as m along the ion flight path, followed by electrostatic acceleration in a Z-independent field; said at least one wedge field is arranged for the purpose of adjusting the time front tilt angle γ.sub.m of said ion packets, associated with steering of ion trajectories at a smaller inclination angle ϕ.sub.m; (f) Wherein said steering angles ψ and ϕ are arranged for either denser folding of major portion of ion trajectories at inclination angles α being smaller than said angle α.sub.0; (g) Wherein said time front tilt angles γ.sub.m and said ion steering angles γ.sub.n are electrically adjusted for local mutual compensations of ion packets time front tilt angle induced by individual n-th deflector, said local compensation occurring within at most pair of ion mirror reflections.
Description
BRIEF DESCRIPTION OF THE FIGURES
(1) Various embodiments will now be described, by way of example only, and with reference to the accompanying drawings in which:
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DETAILED DESCRIPTION
(14) Referring to
(15) In operation, ion source 11 generates a continuous ion beam. Commonly, ion sources 11 comprise gas-filled radio-frequency (RF) ion guides (not shown) for gaseous dampening of ion beams. Lens 12 forms a substantially parallel continuous ion beam 13, entering OA 14 along the Z-direction. An electrical pulse in OA 14 ejects ion packets 15. Packets 15 travel in MRTOF at a small inclination angle α to the X-axis, controlled by the ion source bias U.sub.Z.
(16) Referring to
(17) In the example 20, to fit 14 reflections (i.e. L=7 m flight path) the source bias is set to U.sub.Z=9V. Parallel rays with initial ion packet width Z.sub.0=10 mm and no angular spread Δα=0 start hitting rims of the OA 14 and detector 17.
(18) In example 21, the top ion mirror is tilted by λ=1 mrad, representing a realistic overall effective angle of mirror tilt, accounting for built up faults of the stack assemblies, standard accuracy of machining and moderate electrode bend due to internal stress at machining. Every “hard” ion reflection in the top ion mirror then changes the inclination angle α by 2 mrad. The inclination angle α grows from α.sub.1=27 mrad to α.sub.2=41 mrad, gradually expanding the central trajectory. To hit the detector after N=14 reflections, the source bias has to be reduced to U.sub.Z=6V. The angular divergence is amplified by the mirror tilt and increases the ion packets width to ΔZ=18 mm, inducing ion losses on the rims. Obviously, slits in the drift space may be used to avoid trajectory overlaps, however, at a cost of additional ionic losses.
(19) In example 21, the inclination of the ion mirror introduces yet another and much more serious problem—the time-front 15 becomes tilted by angle γ=14 mrad in-front of the detector. The total ion packet spreading in the time-of-flight X-direction ΔX=ΔZ*γ=0.3 mm limits mass resolution to R<L/2ΔX=11,000 at L=7 m flight path, which is too low compared to, for example, a desired R=80,000. To avoid the limitation, the electrode precision has to be brought to a non-realistic level: λ<0.1 mrad, which translates to better than 10 um accuracy and straightness of individual electrodes.
(20) Summarizing problems of prior art MRTOFs, attempts of increasing flight path require much lower specific energies U.sub.Z of the continuous ion beam and larger angular divergences Δα of ion packets, which induce ion losses on component rims and may produce spectral overlaps. Most important, small mechanical imperfections strongly affect MRTOF resolution and require unreasonably high precision.
(21) With a complex electrode structure and tight requirements on the parallelism of analyzer electrodes in MPTOF, it is desirable to keep instrument size at about 0.5 m. Electrodes stability and vacuum chamber sagging under atmospheric pressure limit the analyzer width to under 300-350 mm. Making larger analyzers raises the manufacturing cost close to the cubic power of the instrument size.
(22) The ideal MPTOF is expected to provide a significant gain in resolution, while not pushing the data system and detector time spreading (at peak base) under DET=2 ns, thus, not requiring ultra-fast detectors with strong signal ringing, or without artificially sharpening resolution by “centroid detection” algorithms, mining mass accuracy and merging mass isobars. To resolve practically important isobars at mass resolution R=TOF/2DET, the peak width shall be less than the isobaric mass difference, hence requiring longer flight time TOF and longer flight path L (calculated for 5 kV acceleration), all shown in Table 1 below.
(23) TABLE-US-00001 TABLE 1 Replacing Mass defect, Resolution > TOF>, Flight Path elements mDa (μ = 1000) us L>, m C for H.sub.12 94 10,600 42 1.33 O for CH.sub.4 38.4 26,000 104 3.3 ClH for C.sub.3 24 41,600 167 5.3 N for CH.sub.2 12.4 80,600 320 10
(24) The table presents the most relevant and most frequent isobaric interferences of first isotopes. In case of LC-MS, the required resolution is over 80,000. In case of GC-MS, where most ions are under 500 amu, the required resolution is over 40K.
(25) Embodiments of the present invention provide the instrument with sufficiently high resolution R>80,000 for separating major isobaric interferences, yet without stressing requirements of the detection system and not affecting peak fidelity.
(26) Referring to
rψ=D/2H*U/K; γ=−ψ=const(z) (Eq. 3)
(27) Alternatively, compensated deflectors may be trans-axial (TA) deflectors, formed by wedge electrodes. Embodiments of the invention propose using a first order correction, produced by an additional curvature of TA-wedge. Controlled focusing/defocusing may be also generated by combination of the TA-wedge and TA-lens, arranged separately or combined into a single TA-device. For a narrower range of deflection angles, the compensated deflector may be arranged with a single potential while selecting the size of Matsuda plates or with a segment of toroidal sector.
(28) Compensated deflectors nicely fit MRTOF. The quadrupolar field in the Z-direction generates an opposite focusing or defocusing field in the transverse Y-direction. Below simulations prove that the focal properties of MRTOF analyzers are sufficient to compensate for the Y-focusing of deflectors 30 without any significant TOF aberrations.
(29) Again referring to
(30) Referring to
(31) Exemplary orthogonal accelerator 40 OA comprises: a region of pulsed wedge field 45, arranged between tilted push electrode 44 and ground plate 47 aligned with the Z-axis; and a straight DC accelerating field 48 formed by electrodes parallel to the Z-axis. Field 48 may have accelerating and decelerating regions for producing low time spread and spatial ion focusing of ion packets in the XY-plane, however, all equipotential lines of field 48 stay parallel to the Z-axis.
(32) In operation, continuous ion beam 41 enters OA along the Z-axis at specific ion energy U.sub.Z, e.g. defined by voltage bias of an upstream RF ion guide. Preferably ion beam angular divergence, spatial expansion and beam initial position are controlled by some radial confinement means, e.g. of the group: (i) a radiofrequency rectilinear multipolar ion guide; (ii) an electrostatic quadrupolar ion guide with ion beam compression in the X-direction; (iii) an electrostatic periodic lens; and (iv) proposed in a co-pending application, an electrostatic ion guide with quadrupolar field being spatially alternated along the Z-axis. An electrical pulse is applied periodically to push plate 44, ejecting a portion of the beam 41 through an aperture in electrode 47, thus forming an ion packet with starting time-front 42, which crosses a starting equipotential 46, tilted at the angle λ.sub.0. Ions start with zero mean energy in the X-direction K=0. At the exit of wedge field 45 ions gain specific energy K.sub.1 and at the exit of the DC field 48 the ions have energy K.sub.0. Assuming a small angle λ.sub.0 of equipotential 46 (in further examples 0.5 deg), a beam thickness of at least ΔX>1 mm and a moderate ion packet length (examples use Z.sub.0=10 mm), the λ.sub.o tilt of starting equipotential 46 produces negligible corrections on energy spread ΔK of ion packet 49.
(33) While applying trivial mathematics a non-expected and previously unknown result was arrived at: in accelerator 40 with amplifying wedge accelerating field, the time-front tilt angle relative to the z-axis (γ) and the ion steering angle θ introduced by the wedge field are controlled by the energy factor K.sub.0/K.sub.1 as:
γ=2λ*(K.sub.0/K.sub.1).sup.0.5=2λ*u.sub.0/u.sub.1
ϕ=2λ/3*(K.sub.1/K.sub.0).sup.0.5=2λ/3*u.sub.1/u.sub.0
i.e. γ/ϕ=3K.sub.0/K.sub.1>>1
(34) where K.sub.1 and K.sub.0 are mean ion kinetic energies at the exit of the wedge field 45 (index 1) and at the exit of flat field 48 (index 0) respectively, and u.sub.1 and u.sub.0 are the corresponding mean ion velocities.
(35) Thus, novel accelerators with amplifying wedge field allow (i) operating with continuous ion beams introduced along the Z-axis, which allows convenient instrumental arrangements; (ii) tilting ion packets time-front by substantial angles γ, which may then be used for compensation of the time-front tilt in ion deflectors; (iii) controlling the tilt angle electronically, either by adjusting the pulse potential or by minor steering of continuous ion beam between various starting equipotential lines.
(36) Again referring to
(37) Ion injection into MRTOF may be improved by using higher energy continuous ion beams for improving the ion beam admission into an orthogonal accelerator (OA) and for reducing angular divergence of ion packets in the MRTOF. For higher MRTOF resolution, ion trajectories may be compact folded by using back steering of ion packets, achieved with an ion deflector. To compensate for the time-front tilt produced by the deflector, it is proposed to use an amplifying wedge accelerating field in the OA.
(38) Referring to
(39) The operation of embodiment 50 is illustrated by simulation example 51, showing time fronts 54 and 55 crossing ion rays. Continuous ion beam 41 at specific energy U.sub.Z=57V propagates along the Z-axis to cross starting (K=0) equipotential 46, which is tilted at the angle λ.sub.0=0.5 deg by push plate 44 being tilted by 1 deg to the Z-axis. Pulsed wedge field 45 accelerates ions to mean energy K.sub.1=800V, and flat field 48 to K.sub.0==8 kV, thus producing an amplifying factor K.sub.0/K.sub.1≅10. The amplifying wedge tilts the ion packets time front 54 at a large angle γ=2λ.sub.0*(K.sub.0/K).sup.0.5≈6λ.sub.0, while having a small effect on the rays angle α.sub.1=α0−ϕ=4.7 deg at ϕ≅0.2 deg, i.e. ion rays are inclined almost at the natural inclination angle α.sub.0=(U.sub.Z/U.sub.X).sup.0.5=4.9 deg. After the first ion mirror reflection, deflector 30 steers ion rays by ψ=−γ=−3.2 deg, thus reducing the inclination angle to α.sub.2=α.sub.1−ψ1.5 deg, while aligning the ion packets time front 55 with the Z-axis, i.e. γ=0. Much higher specific energies of the ion beam (U.sub.Z=57V Vs 9V in to prior art 20) improve the ion admission into the OA and reduce the angular divergence Δα of ion packets for denser folding of ion trajectories at smaller inclination angles, here at α.sub.2=α1−ψ=1.5 deg Vs natural inclination angle α.sub.0=4.9 deg.
(40) Table 2 below summarizes equations for angles within individual deflector 30 and wedge accelerator 40. Table 3 below presents conditions for compensation of the first order time front tilt and of the chromatic spread of Z-velocity. It is of significant importance that both compensations are achieved simultaneously. This is new finding in the field. The pair of wedge accelerator 40 and deflector 30 work nicely for MRTOF 50—it compensates multiple aberrations, including the first order time front tilt, the chromatic angular spread and, accounting focusing properties of gridless ion mirrors in example 51, the angular and spatial spreads of ion packets in the Y-direction.
(41) TABLE-US-00002 TABLE 2 Chromatic dependence of Time front Rays Steering Z-velocity Tilt Angle Angle d(Δw)/dδ Wedge Accelerator
(42) TABLE-US-00003 TABLE 3 Condition for the 1st Condition for order Time-front Compensating Chromatic Tilt Compensation Spread of Z-velocity Wedge Accelerator + Deflector
(43) Referring back to
(44) Referring to
(45) Example 60 illustrates spatial focusing of ion rays 61 for Z=10 mm long ion packets (the initial length of the ion packet along the Z-axis), while not accounting angular spread of ion packets (Δα=0 at ΔU.sub.Z=0) and not accounting relative energy spread of ion packets (δ=ΔK/K=0 at ΔX=0). The chosen position of deflector 30 improves the ion packets bypassing of the deflector 30. The Matsuda plate voltage of the deflector 30 is electrically adjusted for geometrical focusing of ion packets onto the detector, which allows a denser folding of ion rays in MRTOF at α.sub.2=1.5 deg.
(46) Example 62 illustrates the angular divergence of ion rays 63 at ΔU.sub.Z=0.5V, while not accounting for the ion packets width Z.sub.0=0 and energy spread δ=0. Dual compensated deflector 30D (another novel component for MRTOF) helps spreading ion rays in front of the detector 17 for bypassing the detector rims (here 5 mm).
(47) Example 64 illustrates the (predicted by Table 4 below) simultaneous compensation of chromatic angular spread α|δ=0 and first order time front tilt γ=0 at δ=0.05, ΔU.sub.Z=0, and Z.sub.0=0 (dark intervals show positions of ions of different energies at fixed time steps, in particular demonstrating energy focusing at the detector and after each reflection).
(48) Example 66 illustrates the overall mass resolution R.sub.M=47,000 achieved in a compact 450×250 mm analyzer while accounting for all realistic spreads of ion beam and ion packets, so as DET=1.5 ns time spread. The embodiment satisfies the previously set goal R>40,000 for resolving major isobars presented in Table 1 for μ=m/z<500 in GC-MS instruments.
(49) The injection mechanism 50 has a built-in and not yet fully appreciated virtue—an ability to compensate for mechanical imperfections of MRTOF by electrical tuning of the instrument, including adjustment of ion beam energies U.sub.Z, pulse voltage on push plate 44, deflector 30 steering, or steering of continuous ion beam 41 to fit different equipotential lines 46.
(50) Referring to
(51) Embodiments of the invention propose to arrange wedge fields in the reflection region of parallel ion mirrors for effective and electrically tuned control over the inclination angle of ion packets in the MRTOF. Referring to
(52) Flat field 88 has equipotential lines parallel to the Z-axis within boundaries corresponding to mean energies K.sub.0 and K.sub.1, where K.sub.0>K.sub.1. Model wedge field 85 is arranged with uniformly diverging equipotentials in the XZ-plane, where the field strength E(z) is independent of the X-coordinate, and within the ion passage Z-region the field E(z) is inversely proportional to the Z-coordinate: E(z)˜1/z. Wedge field 85 starts at an equipotential corresponding to K=K.sub.1 and continues at least to the ion turning equipotential 86 (K=0), which is tilted to the Z-axis at λ.sub.0 angle.
(53) While applying standard mathematics a non expected and previously unknown result was arrived at: in ion mirror 80 with wedge field 85, the time-front tilt angle γ and the ion steering angle ϕ are controlled by the energy factor K.sub.0/K.sub.1 as:
γ=4λ.sub.0*(K.sub.0/K.sub.1).sup.0.5=4λ.sub.0*u.sub.0/u.sub.1
ϕ=4λ.sub.0/3*(K.sub.1/K.sub.0).sup.0.5=4λ.sub.0/3*u.sub.1/u.sub.0
i.e. γ/ϕ=3K.sub.0/K.sub.1>>1
(54) where K.sub.1 and K.sub.0 are mean ion kinetic energies at the exit of the wedge field 85 (index 1) and at the exit of flat field 88 (index 0) respectively, and u.sub.i and u.sub.o are the corresponding mean ion velocities. The angle ratio γ/ϕ=3K.sub.0/K.sub.1 may in practice reach well over 10 or 30 and is controlled electronically.
(55) At K.sub.0/K.sub.1=1 (i.e. without acceleration in the field 88), the wedge field already provides a twice larger time front tilt γ compared to fully tilted ion mirrors (γ=4λ.sub.0Vs γ=2λ.sub.0), while producing a smaller steering angle (ϕ=4/3λ.sub.0 Vs ϕ=2λ.sub.0). The angles ratio γ/ϕ further grows with the energy factor as K.sub.0/K.sub.1 because the angles are transformed with ion acceleration in the field 88: both flight time difference dT and z-velocity w are preserved with the flat field 88, where the time-front tilt dT/u grows with ion velocity u and the steering angle dw/u drops with ion velocity u. By arranging larger K.sub.0/K.sub.1 ratio, the combination of wedge field with post-acceleration becomes a convenient and powerful tool for adjustable steering of time fronts, accompanied by negligibly minor steering of ion rays.
(56) Again referring to
(57) An ion optical model for the wedge electrode W of embodiment 81 is illustrated by icons 82 and 83, where Icon 82 shows the electrode structure (C, W and E1) around the ion reflection region and also shows equipotential lines in the XY-plane at one particular Z-coordinate. Icon 83 illustrates a slight bending of the retarding equipotential 86 in the XZ-middle plane, at strong disproportional compression of the picture in the Z-direction so that the slight curvature of the line 86 can be seen. Dark vertical strips in icon 83 correspond to ion trajectories, arranged at relative energy spread δ=0.05, so that angled tips illustrate the range of ion penetration into the mirror. Icon 83 shows that the wedge field 85 is spread in the Z-direction in the region for several ion reflections, which helps distributing the time-front tilting at yet smaller bend of equipotential 86.
(58) Simulations have shown that: (i) adjustments of the amplifying factor of 4(K.sub.0/K.sub.1).sup.0.5 allows strong tilting of the time-front at small wedge angles λ.sub.0, thus not ruining the structure of electrical fields, which are optimized for reaching overall isochronicity and spatial focusing of ion packets; (ii) the time front tilt angle can be electronically adjusted from 0 to 6 degrees if using wedge W in both opposite ion mirrors; (iii) the compensation of the time front tilting for deflectors is reached simultaneously with compensation of chromatic dependence of the Z-velocity, as illustrated in
(59) Referring to
(60) To produce a desired curvature or bend of the ion retarding equipotential 96, the PCB 91 carries multiple electrode segments, connected via resistive chain 92, preferably surface mounted SMD resistors, energized by at least one additional power supply, or by several power supplies U.sub.1 . . . U.sub.j 93. Preferably, absolute voltages of supplies 93 are kept at low, say under 1 kV, which is to be achieved at ion optical optimization of the mirror electrode structure. The net of resistors 92 and power supplies 93 may be used for generating electronically controlled amplifying wedge mirror fields. Exemplary retarding equipotential 96 has wedges at both the near and far Z-ends for the purpose of compensated deflection according to
(61) Realistic instruments may have a slight mechanical inaccuracy in parallelism of the orthogonal accelerator electrodes, ion mirror electrodes and of the detector. One mechanism of compensating misalignments was presented in
(62) Again referring to
(63) Optionally, PCB electrodes 91 may be used at manufacturing tests only for measuring the occurred inaccuracy of ion mirrors when measuring the required PCB compensation at recovered MRTOF resolution, which in turn could be used for calibrated mechanical adjustment of individual ion mirrors. Alternatively, the number of regulating power supplies 93 may be potentially reduced and the strategy of analyzer tuning may be optimized for constant use. It is expected that a pair of auxiliary power supplies may be used for simultaneous reaching of: creating preset wedge fields at far and near Z-edges, compensating electrode faulty tilts, and compensating electrode faulty bends. Indeed, all wedge fields produce the same action—to tilt the time front of ion packets, and it is expected that a generic distribution of PCB potentials may be pre-formed for each mirror, while controlling the overall tilt and bow of wedge fields by a pair of low voltage power supplies 93.
(64) Compared to tilted push plate 44 in
(65) As described in a co-pending application, the proposed compensation mechanism of
(66) Referring to
(67) Ion beam 41 propagates along the Z-axis at elevated (compared to
(68) Again referring to
(69) Table 4 below presents formulae for time front tilt angles γ, for ray steering angles θ and for chromatic dependence d(Δw)/dδ of the Z-component of ion velocity w induced by wedge ion mirror and by deflectors.
(70) Table 5 below shows conditions for compensating the time front tilt and the chromatic dependence of the Z-velocity in the combined system, apparently achieved simultaneously.
(71) TABLE-US-00004 TABLE 4 Chromatic dependence Time-front Rays Steering of Z-velocity Tilt Angle Angle d(Δw)/dδ Wedge Mirror
(72) TABLE-US-00005 TABLE 5 Condition for the 1st Condition for order Time-front Compensating Chromatic Tilt Compensation Spread of Z-velocity Wedge Mirror + Deflector
(73) Referring to
(74) Example 110 illustrates spatial focusing of ion rays 111 for Z.sub.0=10 mm long ion packets, while not accounting for angular spread of ion packets Δα=0 at ΔU.sub.Z=0 and not accounting for relative energy spread of ion packets δ=ΔK/K=0 at ΔX=0. The chosen position of deflector 30 improves the ion packets bypassing of the deflector 30 and of detector 17 rim. Matsuda plates' voltages of the deflectors 30 and 30R are electrically adjusted for moderate spatial focusing of initially parallel rays onto detector 17, while being balanced for achieving optimal focusing in other examples of
(75) Example 112 illustrates the angular divergence of ion rays 113 at ΔU.sub.Z=0.5V, while not accounting for ion packets width Z.sub.0=0 and energy spread δ=0. The Matsuda plate of the reversing deflector 30R is adjusted (being the same for all examples of
(76) Example 114 illustrates ion rays at all accounted spreads of ion beam. Though trajectories look like they are filling most of the drift space, apparently, simulated ion losses are within 10%.
(77) Example 116 illustrates the overall mass resolution R.sub.M=83,000 achieved in a compact 450×250 mm analyzer while accounting for all realistic spreads of ion beam and ion packets, so as DET=1.5 ns time spread. The embodiment satisfies the previously set goal R>80,000 for resolving major isobars presented in Table 1 for μ=m/z<1000 in LC-MS instruments. N=28 reflections correspond to 14 m flight path and TOF=328 us flight time for μ=1000. Thus, the far-end compensated deflector provides almost twice denser folding of ion trajectory.
(78) Yet higher resolutions are expected at larger size instruments, since the flight path L grows as product of instrument dimensions: L=2D.sub.X*D.sub.Z/L.sub.Z, where L.sub.Z is the ion advance per reflection. Embodiments of the invention provide methods of compensated steering, shown in
(79) Referring to
(80) In operation, continuous ion beam 41 propagates along the Z-axis at elevated specific energy U.sub.Z (expected from 20 to 50V). A compensated ion injection mechanism is arranged with a wedge accelerator 40 (OA) and compensated deflector 30, similar to injection mechanism 50, described in
(81) Embodiment 120 presents yet another novel ion optical solution—a compensated reversing of ion trajectories. The reversing mechanism is arranged with a pair of focusing and defocusing deflectors 124 and 125, best seen in zoom view 121, expanded in the Z-direction. Ion packets reach far Z-end of the sector analyzer at an inclination angle α.sub.2. Deflector 124 with Matsuda plates is set for increasing the inclination angle to α.sub.3 while focusing the packet Z-width within deflector 125. Deflector 125 is set to reverse ion trajectory with deflection for −2α.sub.3 angle and defocuses the packet from Z.sub.3 to Z.sub.2 by using Z-defocusing quadrupolar field of Matsuda plates in deflector 125. The focusing factor Z.sub.3/Z.sub.2 and deflection angles are arranged as 2Z.sub.3*α.sub.3=Z.sub.2(α.sub.3−α.sub.2) to mutually compensate for the time front tilts, as illustrated with simulated dynamics of the time front 129.
Annotations
(82) x, y, z—Cartesian coordinates;
(83) X, Y, Z—directions, denoted as: X for time-of-flight, Z for drift, Y for transverse;
(84) Z.sub.0—initial width of ion packets in the drift direction;
(85) ΔZ—full width of ion packet on the detector;
(86) D.sub.X and D.sub.Z—used height (e.g. cap-cap) and usable width of ion mirrors
(87) L—overall flight path
(88) N—number of ion reflections in mirror MRTOF or ion turns in sector MTTOF
(89) u—x-component of ion velocity;
(90) w—z-component of ion velocity;
(91) T—ion flight time through TOF MS from accelerator to the detector;
(92) ΔT—time spread of ion packet at the detector;
(93) U— potentials or specific energy per charge;
(94) U.sub.Z and ΔU.sub.Z—specific energy of continuous ion beam and its spread;
(95) U.sub.X—acceleration potential for ion packets in TOF direction;
(96) K and ΔK—ion energy in ion packets and its spread;
(97) δ=ΔK—relative energy spread of ion packets;
(98) E—x-component of accelerating field in the OA or in ion mirror around “turning” point;
(99) μ=m/z—ions specific mass or mass-to-charge ratio;
(100) α—inclination angle of ion trajectory relative to X-axis;
(101) Δα—angular divergence of ion packets;
(102) γ—tilt angle of time front in ion packets relative to Z-axis
(103) λ—tilt angle of “starting” equipotential to axis Z, where ions either start accelerating or are reflected within wedge fields of ion mirror
(104) θ—tilt angle of the entire ion mirror (usually, unintentional);
(105) φ—steering angle of ion trajectories or rays in various devices;
(106) ψ—steering angle in deflectors
(107) ε—spread in steering angle in conventional deflectors;
(108) T|Z, T|ZZ, T|δ, T|δδ, etc; Indexes are defined within the text
(109) Although the present invention has been describing with reference to preferred embodiments, it will be apparent to those skilled in the art that various modifications in form and detail may be made without departing from the scope of the present invention as set forth in the accompanying claims.