The instant invention relates generally to high field asymmetric waveform ion mobility spectrometry (FAIMS), and, more particularly, to methods for practicing FAIMS utilizing waveform generator electronics based on switched DC power supplies.
High sensitivity and amenability to miniaturization for field-portable applications have helped to make ion mobility spectrometry (IMS) an important technique for the detection of many compounds, including narcotics, explosives, and chemical warfare agents as described, for example, by G. Eiceman and Z. Karpas in their book entitled “Ion Mobility Spectrometry” (CRC, Boca Raton, 1994). In IMS, gas-phase ion mobilities are determined using a drift tube with a constant electric field. Ions are separated in the drift tube on the basis of differences in their drift velocities. At low electric field strength, for example 200 V/cm, the drift velocity of an ion is proportional to the applied electric field strength, and the mobility, K, which is determined from experimentation, is independent of the applied electric field. Additionally, in IMS, the ions travel through a bath gas that is at sufficiently high pressure that the ions rapidly reach constant velocity when driven by the force of an electric field that is constant both in time and location. This is to be clearly distinguished from those techniques, most of which are related to mass spectrometry, in which the gas pressure is sufficiently low that, if under the influence of a constant electric field, the ions continue to accelerate.
E. A. Mason and E. W. McDaniel in their book entitled “Transport Properties of Ions in Gases” (Wiley, New York, 1988) teach that at high electric field strength, for instance fields stronger than approximately 5000 V/cm, the ion drift velocity is no longer directly proportional to the applied electric field, and K is better represented by KH, a non-constant high field mobility term. The dependence of KH on the applied electric field has been the basis for the development of high field asymmetric waveform ion mobility spectrometry (FAIMS), also occasionally referred to as differential ion mobility spectrometry. Ions are separated in FAIMS on the basis of a difference in the mobility of an ion at high field strength, KH, relative to the mobility of the ion at low field strength, K. In other words, the ions are separated due to the compound dependent behavior of KH as a function of the applied electric field strength.
In general, a device for separating ions according to the FAIMS principle has an analyzer region that is defined by a space between first and second spaced-apart electrodes. The first electrode is maintained at a selected DC voltage, often at ground potential, while the second electrode has an asymmetric waveform V(t) applied to it. The asymmetric waveform V(t) is composed of a repeating pattern including a high voltage component, VH, lasting for a short period of time tH and a lower voltage component, VL, of opposite polarity, lasting a longer period of time tL. The waveform is synthesized such that the integrated voltage-time product, and thus the field-time product, applied to the second electrode during each complete cycle of the waveform is zero. For instance, for a square waveform, this condition becomes:
V
H
H
+V
L
L=0 (Eq. 1)
for example +2000 V for 10 μs followed by −1000 V for 20 μs. The peak voltage during the shorter, high voltage portion of the waveform is called the “dispersion voltage” or DV, which is identically referred to as the applied asymmetric waveform voltage.
Generally, the ions that are to be separated are entrained in a stream of gas flowing through the FAIMS analyzer region, for example between a pair of horizontally oriented, spaced-apart electrodes. Accordingly, the net motion of an ion within the analyzer region is the sum of a horizontal x-axis component due to the stream of gas and a transverse y-axis component due to the applied electric field. During the high voltage portion of the waveform an ion moves with a y-axis velocity component given by
νH=KHEH, (Eq. 2)
where EH is the applied field, and KH is the high field ion mobility under operating electric field, pressure and temperature conditions. The distance dH traveled by the ion during the high voltage portion of the waveform is given by
dH=νHtH=KHEHtH, (Eq. 3)
where tH is the time period of the applied high voltage. During the longer duration, opposite polarity, low voltage portion of the asymmetric waveform, the y-axis velocity component of the ion is
νL=KEL, (Eq. 4)
where K is the low field ion mobility under operating pressure and temperature conditions. The distance traveled is
dL=νLtL=KELtL. (Eq. 5)
Since the asymmetric waveform ensures that (VHtH)+(VLtL)=0, the field-time products EHtH and ELti, are equal in magnitude. Thus, if KH and K are identical, dH and dL are equal, and the ion is returned to its original position along the y-axis during the negative cycle of the waveform. If at EH the mobility KH>K, the ion experiences a net displacement from its original position relative to the y-axis. For example, if a positive ion travels farther during the positive portion of the waveform, for instance dH>dL, then the ion migrates away from the second electrode and eventually will be neutralized at the first electrode.
In operation of the apparatus shown in
When a mixture including several species of ions, each with a unique KH/K ratio, is being analyzed by FAIMS, only one species of ion is selectively transmitted to a detector for a given combination of CV and DV. In one type of FAIMS experiment, the applied CV is scanned with time, for instance the CV is slowly ramped or optionally the CV is stepped from one voltage to a next voltage, and a resulting intensity of transmitted ions is measured. In this way a CV spectrum showing the total ion current as a function of CV, is obtained.
The ideal waveform for a FAIMS device consists of an asymmetric square wave, such as waveform 10 shown in
Further, it is experimentally advantageous to be able to vary the frequency of the FAIMS waveform during a single experiment or set of experiments. However, the frequency of the waveform resulting from sums of separate sinusoidal waves generated in the conventional fashion cannot easily be changed outside of a very narrow range.
A novel apparatus and method for providing the asymmetric radio frequency waveform for a FAIMS device is disclosed. An apparatus includes at least first and second direct current (DC) supplies and a switch—which may comprise an analog or a digital device and may comprise a solid-state switch device—electrically coupled to the power supplies and to at least one of the FAIMS electrodes. The switches could be controlled by logic-level pulses supplied by digital control electronics. The DC power supplies can be controlled by analogue control voltages, or digitally. The resulting waveform is a sufficiently close approximation to the ideal square one.
Accordingly, in a first aspect of the invention, there is provided a high field asymmetric waveform ion mobility spectrometry (FAIMS) apparatus for selectively transmitting ions provided by an ionization source, the apparatus comprising: i) an analyzer region defined by a space between first and second spaced apart electrodes, said analyzer region having a gas inlet at a first end and a gas outlet at a second end for providing a flow of gas through said analyzer region, said analyzer region having an ion inlet and an ion outlet, said ion inlet for introducing a flow of ions produced by said ionization source into said analyzer region and said ion outlet for supporting extraction of ions from said analyzer region; and ii) an electrical power supply electrically connected to at least one of said electrodes and operable to as to apply a periodic asymmetric square-wave waveform voltage to at least one of said electrodes so as to selectively transmit a type of ion in and through said analyzer region to the ion outlet, wherein said electrical power supply is operable so as to vary a time duration of pulses of said asymmetric square-wave waveform so as to control the type of ion selectively transmitted, an efficiency of said selective transmission or the ability to prevent transmission of a different type of ions in and through said analyzer region to the ion outlet.
In a second aspect of the invention, there is provided a method for operating a high field asymmetric waveform ion mobility spectrometry (FAIMS) apparatus for selectively transmitting ions provided by an ionization source comprising an analyzer region defined by a space between first and second spaced apart electrodes, said analyzer region having a gas inlet at a first end and a gas outlet at a second end for providing a flow of gas through said analyzer region, said analyzer region having an ion inlet and an ion outlet, said ion inlet for introducing a flow of ions produced by said ionization source into said analyzer region and said ion outlet for supporting extraction of ions from said analyzer region; the method comprising: (a) providing an electrical power supply electrically connected to at least one of said electrodes and operable to as to apply a periodic asymmetric square-wave waveform voltage to at least one of said electrodes so as to selectively transmit a type of ion in and through said analyzer region to the ion outlet; (b) introducing ions from said ionization source into said analyzer region through said ion inlet; (c) applying pulses of said periodic asymmetric square-wave waveform voltage applied to said at least one of said electrodes, said pulses comprising a time duration chosen so as to control the type of ion selectively transmitted, an efficiency of said selective transmission or the ability to prevent transmission of a different type of ions in and through said analyzer region to said ion outlet.
The above noted and various other aspects of the present invention will become apparent from the following description which is given by way of example only and with reference to the accompanying drawings, not drawn to scale, in which:
a is a schematic illustration of paths of ions having similar but non-identical mobility through a FAIMS apparatus, in the case of application of a low-frequency asymmetric waveform to an electrode;
b is a schematic illustration of paths of the same ions considered in regard to
The present invention provides improved methods and apparatus for providing FAIMS waveforms. The following description is presented to enable one of ordinary skill in the art to make and use the invention and is provided in the context of a particular application and its requirements. It will be clear from this description that the invention is not limited to the illustrated examples but that the invention also includes a variety of modifications and embodiments thereto. Therefore the present description should be seen as illustrative and not limiting. While the invention is susceptible of various modifications and alternative constructions, it should be understood that there is no intention to limit the invention to the specific forms disclosed. On the contrary, the invention is to cover all modifications, alternative constructions, and equivalents falling within the essence and scope of the invention as defined in the claims. To more particularly describe the features of the present invention, please refer to
The power supply system 100 provides several advantages relative to a conventional system that generates a conventional sinusoidal waveform. A first advantage is mechanical simplicity with no moving parts, potentially leading to lower cost relative to a conventional system. Another advantage is that the waveform produced is closer to the ideal square one. A third advantage is that the system 100 enables greater operational flexibility and additional operating modes as compared to a conventional system. Still a fourth advantage results from the fact that the design illustrated in
As noted above, the system 100 provides advantages of greater operational flexibility and provision of additional operating modes. For example, using the system 100, the frequency of the waveform can easily be varied, as needed, within a very broad range, simply by changing the frequency of switch control pulses.
In the situation illustrated in
The resolving power of the FAIMS apparatus is the ability of the apparatus to discriminate between transmission of different types of ions in and through the analyzer region to the ion outlet. Thus, from the above discussion, the resolving power of the instrument to analyze ions with different values of (KH−K) is improved by increasing the frequency of the FAIMS waveform. However, with such increased frequency, the throughput or transmission efficiency for any ion is relatively poorer than for the situation in which a lower frequency waveform is applied. The increased resolution could also be achieved by increasing the magnitude(s) of the applied voltage(s). However, driving power requirements increase as the square of the applied voltage but only linearly with frequency.
As described above, the system 100 provides an analyst with the ability to choose waveform frequency that is optimal under any particular experimental conditions so as to best balance the requirements of resolution and throughput. For instance, if the mobilities of two different types of ions are sufficiently different so that the two ions may be resolved (in an ion spectrum generated by a detector coupled to the FAIMS apparatus) under application of a relatively low-frequency waveform, then it may be desirable to not increase the frequency. If sufficient sample material is available, such optimal resolution could be determined, in advance, be performing combined CV and frequency scans—that is, a set of CV scans, each such successive CV scan performed at a respective incrementally modified frequency or, alternatively, a set of frequency scans, each successive frequency scan performed at respective incrementally modified CV value. If candidate ionic species to be analyzed or separated are known beforehand, such a program of combined frequency and CV scanning could form part of an instrument calibration.
Other advantages provided by the system 100 are related to the fact that the ratio between the high voltage value and low voltage value can be varied from the usual 2:1, as can the ratio of the durations of application of the two voltages, by changing the set points of the two DC supplies and the timing of the switch control pulses, respectively. Let the ratio of the applied voltages and the ratio of the time durations be given by the quantities bV and bT, defined as:
Note that, in conventional FAIMS, bV=bT=2. Further, let K′H and K′ represent the high-field and low-field mobility constants for a first ion and let K″H and K″ represent the high-field and low-field mobility constants for a second ion.
Considering just the first ion, the magnitude of the distance traversed under application of the low voltage is, as described previously, d′L=K′ELtL. Also, the magnitude of the distance traversed (in the opposite direction) under application of the high voltage is d′H=K′HEHtH=K′H(bVEL)(tL/bT). Then, the movement of the first ion, in the y-coordinate (see
Likewise, the movement of the second ion, in the y-coordinate, induced by application of one full cycle of the asymmetric waveform is given by Δd″, wherein
The incremental separation, s, between the two ions, induced by a single cycle, is then
These equations (Eqs. 7a, 7b and Eq. 8) are statements of the well-known result that, in general, each of the two ions will drift, transverse to the flow of bath gas, towards one or another of the two electrodes and that the separation between the two ions will change incrementally upon each cycle of the asymmetric waveform.
As in conventional FAIMS, a variable DC compensation voltage (CV) may be applied to either one of the FAIMS electrodes or may be distributed between the two electrodes in order to counteract the drift of one of the ions so that it may pass through an ion outlet to a detector. However, it is also possible to accomplish a similar result by varying the relative time durations of the high-voltage and low-voltage pulses comprising an asymmetric periodic square wave. For instance, suppose that it is desired to counteract the drift of the second ion, such that the quantity Δd″=0. From Eq. 7b, this condition implies that
and, thus
Eq. 9 shows that either one of the experimental parameters bV or bT (or both) may be adjusted or appropriately chosen, at a fixed frequency, in order to provide drift compensation to the transverse movement of the second ion. Substituting this result into Eq. 7b, it can be shown that, in general, the incremental (i.e., per cycle) transverse drift of the first ion will be non-zero (and thus the two ions may be separated), provided that (K″/K″H)≠(K′/K′H).
As another example, it is shown below that the capabilities of independently varying the ratio of high voltage to low voltage and the ratio of high-voltage to low-voltage pulse durations enable a FAIMS apparatus to be used as a simple ion mobility spectrometer, under certain special circumstances. Assume that, within experimental accuracy, the two conditions
(K′H−K′)=(K″H−K″)≠0 (Eq. 10a)
K′≠K″ (Eq. 10b)
can be assumed to hold true, where the mobility constants relate to two different ions, as defined above. Under these circumstances, the ions cannot be separated by conventional FAIMS but can be separated by normal ion mobility spectrometry (IMS). Substituting the equality of Eq. 10a into Eq. 8 yields the relation
Eq. 11 shows that the ion separation in the transverse direction, s, is non-zero provided that Eqs. 10a and 10b hold and also provided that the voltages and timing signals are chosen such that bV≠bT. (Note that, in a conventional FAIMS experiment, bV=bT.) The conditions noted in Eqs. 10a and 10b generally also ensure that (K″/K″H)≠(K′/K′H). With these conditions met, then the ion separation, s, increases in magnitude with either increasing bV or decreasing bT. The apparatus 100 permits such voltages and timing signals to be chosen and applied, accordingly.
As in a normal FAIMS experiment, when a FAIMS analyzer is used as a simple ion mobility spectrometer in accordance with the conditions (Eqs. 7a and 7b) described above, both the first and second ions will, in general, drift away from a region (for instance, a plane or other surface) that is mid-way between the electrodes and, in the absence of further intervention, will eventually encounter an electrode or other surface so as to be neutralized. Such neutralized ions will not pass through an ion outlet aperture and will not be detected. As described previously, a DC compensation voltage may be supplied to either (or both) of the FAIMS electrodes. Alternatively, the ratio (bV/bT) may be varied in order to counteract the drift of one of the ions, as described above.
In the next step, step 54 of the method 50, the frequency of an asymmetric square waveform to be applied to the FAIMS apparatus is adjusted so as to optimize or produce a desired balance between spectral resolution and throughput of at least two ions through the FAIMS analyzer region. In this situation, possible analyte ions in a sample are either known or hypothesized and the frequency is adjusted so as to either maximize detection resolution of such ions, to maximize transmission efficiency of the ions, or to produce a best or desired balance between spectral resolution and transmission efficiency. In the subsequent step 56, ions are transmitted through the FAIMS analyzer region (so as to be detected) under application of the square waveform with the adjusted frequency.
A second method 60 presented in
In the first step, step 62 of the method 60 (
The discussion included in this application is intended to serve as a basic description. Neither the description nor the terminology is intended to limit the scope of the invention. The reader should be aware that the specific discussion may not explicitly describe all embodiments possible; many alternatives are implicit. Further, each feature or element can actually be representative of a broader function or of a great variety of alternative or equivalent elements. Again, these are implicitly included in this disclosure. Thus, a variety of changes may be made without departing from the essence of the invention. Such changes are also implicitly included in the description. As but one example, although the present description of the invention has made reference to FAIMS apparatuses having flat plate electrodes (e.g., see