The following discussion of the embodiments of the invention directed to a velocity imaging mass spectrometer that provides spatially resolved mass dispersion using velocity map imaging is merely exemplary in nature, and is in no way intended to limit the invention or its applications or uses.
The gas stream 18 enters an ion optics chamber 24 including velocity mapping ion focusing optics 26. The ion optics 26 includes a series of annular electrode lenses 28 spaced apart in a predetermined configuration to provide velocity mapping, as will be discussed in detail below. The ion optics 26 focus the ions depending on their velocity, but independent of their mass, in a direction perpendicular to their propagation axis. The focused stream of ions from the ion optics 26 is then sent through a wire-comb ion gate mass filter 30 to cluster the ions into ion packets 32. The ion packets 32 are then deflected by a pair of deflection plates 36 and 38 depending on their mass. An electric pulse is applied to the deflection plates 36 and 38 to create a pulsed electric field having a certain duration for the purposes described herein. As will be discussed in more detail below, the combination of the ion optics 26 and the deflection plates 36 and 38 provide spatially resolved mass dispersion using velocity map imaging with pulsed deflection.
The focused ion packets 32 are deflected by the deflection plates 36 and 38. If the electric field applied to the deflection plates 36 and 38 was on all the time, then all of the ions in the ion packets 32 would be deflected the same, regardless of their mass. However, according to the invention, a pulsed electric field is provided by the deflection plates 36 and 38 so that the ions are deflected according to their mass. Particularly, the pulse applied to the deflection plates 36 and 38 is turned on before the first ion in the ion packet 32 reaches the deflection region between the plates 36 and 38, and is turned off before the first ion in the ion packet 32 leaves the deflection region between the plates 36 and 38, as illustrated in
The following is a detailed discussion of the physics behind how the ions are deflected according to their mass in this manner. When ions are born, they will have an initial energy U0 and can be accelerated to have an energy U that is independent of their mass m, but dependent on the energy U0, the distance s and ion charge q as:
U=U
0
+qsE
s
+qd
1
E
d
+qd
2
E
d
(1)
The time-of-flight of the ions at the field free regions in the spectrometer 12 is given by:
t=t
s
+t
d
+t
d
+t
L (2)
Where each term in equation (2) is given by:
When the leading edge of an ion packet 32 reaches some point just before the deflection plates 36 and 38, the pulsed electric field is applied by the plates 36 and 38 in a direction perpendicular to the initial ion packet propagation direction. The pulsed electric field is very short so that the electric field is turned off before any of the ions in the ion packet 32 leave the deflection region between the deflection plates 36 and 38. Under this condition, assuming simple transverse electrostatic deflection and no acceleration effects of transition fields, when the ions enter the region between the deflection plates 32 and 34, the transverse velocity νz of the ions is described as:
Where m is the mass of the ion, Ez is the transverse electric field strength, Id is the distance between the deflection plates 36 and 38, q is the charge of the ions, t is the time for the ion to reach the entrance of the region between the deflection plates 36 and 38, and toff is the turn-off time of the pulsed electric field. The difference in the time toff−t is equal to the time that the ion experiences the transverse field.
Because the time-of-flight in the field free region is proportional to the square root of the mass, the time t in equation (6) is different for different masses. By substituting equation (2) into equation (6), the transverse velocity of the ions arising from the pulsed electric field can be written in terms of the ion masses as:
The first term in equation (7) is related to the constant momentum pulse, when the range of time within the deflection region between the deflection plates 36 and 38 is independent of mass, and the second term represents the contribution of the projection of the initial time dispersion along the ion path direction in the transverse direction.
Equations (6) and (7) imply that two factors strongly influence the ultimate spatial mass resolution of the ions, the transverse velocity distribution of the ions and the spread in the deflection pulse duration of the ions. The transverse velocity resolution (Δυz/υz) is closely correlated with the spatial mass resolution on the ion detector (discussed below) and is primarily limited by small differences in flight times of ions entering the deflection region between the deflection plates 36 and 38 for ions of the same mass due to the initial energy distributions. The latter highly depends on the spatial distribution of the ion packets 32 in the deflection region along a traverse direction. The transverse velocity sz of the ions can be further transformed in the transverse distance of the ion on the detector, assuming that the reflectron (discussed below) only extends the total flight path under the homogeneous electric field as:
If the arrival time ta to the detector is simply proportional to the square root of the mass, the displacement of the ions along the transverse direction on the detector plane can be approximately described as:
In equation (9), it is apparent that different ions hitting the detector can be spatially separated according to two mass-dependent contribution terms. It should be noted that the range of different masses that can be detected simultaneously depends on the difference in length between the first field free region and the deflection plates 36 and 38, the size of the detector in the transverse axis and the mass value. The difference in length between the first field free region and the deflection plates 36 and 38 is governed by (L−Ld)/L.
The difference in the displacement Δsz that separates adjacent masses between m and m+1 is given by:
As shown in equation (10), the mass dispersion between adjacent masses is small for higher values of masses, but is large for lower values of masses. Thus, a large mass range can be detected simultaneously for higher values of masses in a small spatial separation.
As discussed above, the combination of the ion optics 26 and the deflection plates 36 and 38 simultaneously provides both mass and velocity information for the ions being analyzed. The mass of the various ions that are detected by the detector are shown along one axis of an image in the detector, and the velocity of the ions of the same mass are shown by the size of the spot on the image.
Simultaneously providing the mass and velocity of ions in one dimension has particular application for analyzing the constituency of small molecules. However, it may be desirable to use tandem mass spectrometry to further fragment the ions to provide a two-dimensional image of the mass of other constituents in larger molecules. To provide the second dimension of masses, a second set of deflection plates are required. Returning to
The ion packets 32 are then sent to a deflection region between two deflection plates 52 and 54 that are oriented perpendicular to the deflection plates 36 and 348 and are pulsed in the same manner as the plates 36 and 38 to provide a deflection of the ions in the opposite direction based on their mass to provide the two-dimensional mass image.
The ion packets 32 then enter a reflectron 58 including electrodes 60 that redirects the ions of different mass-to-charge ratios in a well known manner. The reflected ions are directed along separate paths by the reflectron 58 according to their mass, and impinge a position sensitive ion detector 62. The detector 62 can be any detector suitable for the purposes described herein, such as the position sensitive dual MCP/P-47 phosphor detector. A sensor 64 views the detector 62 and generates a signal that can be viewed on an oscilloscope 66. A CCD camera 68 provides an image of the detector 62 that can be viewed on a monitor 70. The degree of spatial separation on the detector 62 is effectively controlled through a timing delay, and the width and magnitude of the voltage pulse applied to the reflector 58. The relative timing of the pulsed ion beam, the laser 20, the deflection plates 36, 38, 52 and 54 and the detector 62 can be controlled by a delay generator (not shown).
As discussed above, the mass spectrometer 12 is able to provide both velocity and mass measurements of the ions simultaneously.
The foregoing discussion discloses and describes merely exemplary embodiments of the present invention. One skilled in the art will readily recognize from such discussion and from the accompanying drawings and claims that various changes, modifications and variations can be made therein without departing from the spirit and scope of the invention as defined in the following claims.
This application claims the benefit of the filing date of Provisional Application No. 60/817,757, filed Jun. 30, 2006.
Number | Date | Country | |
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60817757 | Jun 2006 | US |