This disclosure relates to Time of Flight (TOF) mass spectrometry and a TOF mass analyser.
In general, a TOF mass analyser determines the mass to charge ratio of an ion by measuring the flight time of the ion between two points. In order to improve the accuracy of the mass to charge ratio determination, the TOF mass analyser may be calibrated by measuring the flight time of ions of a known mass to charge ratio. Such ions may generally be referred to as calibrant ions.
One method for calibrating a TOF mass analyser involves measuring the flight time of calibrant ions (e.g. from a calibration mixture) and fitting the measured times to a polynomial. Typically, a second order polynomial function of the form:
may be used.
While such an approach can achieve acceptable levels of accuracy, there are various processes occurring within a TOF mass analyser which may cause the time of flight of ions to diverge from a calibration curve. Some divergences are m/z dependent and/or highly non-linear, which may be particularly difficult to capture with a calibration curve.
One known approach is to use a higher order polynomial to fit to the calibration curve. However, such an approach has little relation to the underlying physics of the Time of Flight mass analyser.
GB-A-2426121 discloses a method of interpolating between measured calibration points which requires a wide m/z range of calibrant points to be available.
Calibration functions with parameters informed by simulation or measurement are also known, for example, U.S. Pat. No. 6,437,325B1, and Christian, N. P., Arnold, R. J., & Reilly, J. P. (2000), “Improved calibration of time-of-flight mass spectra by simplex optimization of electrostatic ion calculations”. Such methods do not account for complex m/z dependent behaviours resulting from electronics or deviations between different models.
Against this background, the present disclosure seeks to provide an improved, or at least a commercially relevant alternative, method of calibrating a Time of Flight mass analyser.
According to a first aspect, a method of calibrating a Time of Flight (TOF) mass analyser is provided. The method comprises performing a plurality of calibration analyses of calibrant ions using the TOF mass analyser. Each calibration analysis comprises measuring the flight times of the calibrant ions using the TOF mass analyser, wherein the TOF mass analyser has an associated instrument parameter which has an effect on the flight times of the calibrant ions. Each calibration analysis also comprises determining a reference calibration curve for the TOF mass analyser based on the known mass to charge ratios of the calibrant ions and the respective flight times, wherein the reference calibration curve is associated with the instrument parameter of the TOF mass analyser for the respective calibration analysis. For each of the plurality of calibration analyses, a value of the instrument parameter of the TOF mass analyser is different. The method also comprises determining a calibration curve for use in a TOF mass analysis performed by the TOF mass analyser, wherein the calibration curve is determined based on the plurality of reference calibration curves and the instrument parameter of the TOF mass analyser to be used in the TOF mass analysis.
By determining a plurality of reference calibration curves for different values of the instrument parameter, the relationship between the instrument parameter and the measured flight times may be accounted for. In particular, the plurality of reference calibration curves may more accurately account for any non-linear behaviour of the TOF mass analyser, which is challenging to account for using a single calibration measurement.
By determining a calibration curve for a TOF mass analyser based on the plurality of reference calibration curves and the instrument parameter to be used in a subsequent analysis, the method of the first aspect may provide a calibration for a TOF mass analyser with improved accuracy.
In some embodiments, the calibrant ions are initially stored in an ion preparation device, preferably an ion trap, connected to the TOF mass analyser, wherein measuring the flight times of the calibrant ions comprises injecting the calibrant ions from the ion trap into the TOF mass analyser. In some embodiments, the calibrant ions are initially stored in the ion trap by applying an RF trapping voltage. In some embodiments, the instrument parameter associated with each reference calibration curve may be an amplitude or frequency of the RF trapping voltage. As such, in some embodiments, the amplitude and/or frequency of the RF trapping voltage may impact the measured flight times of ions. Accordingly, calibrating the TOF mass analyser to account for the RF trapping voltage setting used with each TOF mass analysis may improve the accuracy of the analysis.
In some embodiments, a time of flight shift model may be determined based on the measured flight times of each of the plurality of calibration analyses, the known m/z of the calibrant ions for each of the plurality analyses, and an amplitude of the RF trapping voltage for each the plurality of calibration analyses. As such, the amplitude of the RF trapping voltage may cause a shift in the observed flight time for a calibrant ion of known m/z. That is to say, the observed flight time may be shifted (i.e. different to) an expected flight time for the calibrant ion based on its known m/z. This shift in time of flight may be characterised by a model (e.g. a polynomial) fitted to the observed time of flight shifts from the calibration analyses. In some embodiments, each reference calibration curve may be determined based on the known mass to charge ratios of the calibrant ions, the time of flight shift model, and the respective flight times. As such, the time of flight shift model may be utilised to improve the accuracy of the reference calibration curves determined under different RF voltage amplitudes.
In some embodiments, the flight times used to determine each reference calibration curve are based on the time of flight shift model and the measured flight time. As such, in some embodiments, where the instrument parameter is different to the amplitude of the RF trapping voltage, the effect of the amplitude of the RF trapping voltage may be accounted for by correcting the flight times used to determine each reference calibration curve.
In some embodiments, the plurality of calibration analyses comprise: a first calibration analysis where the calibrant ions are first calibrant ions having a first set of mass to charge ratios; and a second calibration analysis where the calibrant ions are second calibrant ions having a second set of mass to charge ratios different to the first set of mass to charge ratios of the first calibrant ions. As such, each of the first and second calibration analyses may cover a different mass to charge range of interest, wherein each of the first and second calibration analyses is performed with a different instrument parameter.
In some embodiments, the plurality of calibration analyses comprise: a first calibration analysis from which a first reference calibration curve is determined, the first reference calibration curve defined between a first mass to charge value and a second mass to charge value. The plurality of calibration analyses may also comprise a second calibration analysis from which a second reference calibration curve is determined, the second reference calibration curve defined between a third mass to charge value and a fourth mass to charge value, wherein the fourth mass to charge value is outside the range defined by the first and second mass to charge values. As such, in some embodiments the mass to charge range defined by the third and fourth mass to charge values may partially overlap with the mass to charge range defined by the first and second mass to charge values. In some embodiments, the mass to charge range defined by the third and fourth mass to charge values may not overlap with the mass to charge range defined by the first and second mass to charge values. It will be appreciated that where a plurality of calibration analyses are provided, the mass to charge range of one or more of the calibration analyses may overlap with one or more of the other calibration analyses. Each of the calibration analyses may have a different instrument parameter setting. Accordingly, the plurality of reference calibration curves determined may provide information on the non-linearities associated with the instrument parameter for a range of different instrument parameter settings and for different mass to charge ranges.
In some embodiments, a calibration curve is determined based on the reference calibration curve of the plurality of reference calibration curves having an associated instrument parameter which is closest to the instrument parameter of the TOF mass analyser to be used in the TOF mass analysis. As such, in some embodiments, an instrument parameter to be used in a TOF mass analysis may not correspond to an instrument parameter for which there is a reference calibration curve. In such cases, the TOF mass analyser may determine the calibration curve based on a reference calibration curve having an associated instrument parameter which is closest to the instrument parameter of interest. Thus, the calibration of the TOF mass analyser may take into account the effect of the instrument parameter on the measured flight time, thereby improving the accuracy of the calibration of the TOF mass analyser.
In some embodiments, a calibration curve is determined by interpolating between two of the reference calibration curves having associated instrument parameters which bound the instrument parameter to be used in the TOF mass analysis. By using interpolation to determine a calibration curve, the method may take into account a plurality of reference calibration curves, which may improve the accuracy of the calibration of the TOF mass analyser.
It will be appreciated that the method of the first aspect relates to the determination of a plurality of reference calibration curves and the determination of a calibration curve for a given instrument parameter setting. Such a method may be performed upon set-up of a TOF mass analyser such that the determined calibration curve is available for use by a user of the TOF mass analyser. As such, the method of the first aspect relates to calibration of the TOF mass analyser, including performing a plurality of calibration analyses using calibrant ions. Once the reference calibration curves are determined using the calibrant ions, a calibration curve may be determined for ions of a sample to be analysed.
Thus, according to a second aspect of the disclosure, a method of Time of Flight mass spectrometry for a mass to charge ratio range of interest using a TOF mass analyser is provided. The method of the second aspect comprises:
As such, the method of the second aspect relates to performing a method of TOF mass spectrometry which makes use of the reference calibration curves determined according to the first aspect. It will be appreciated that it is not required to obtain the reference calibration curves each time a TOF mass analysis is performed. However, in some embodiments, the calibration curve to be applied may be determined from the reference calibration curves each time a TOF mass analysis is performed based on the instrument parameter.
In some embodiments, the ions are initially stored in an ion preparation device, preferably an ion trap, connected to the TOF mass analyser, wherein measuring the flight times of the ions comprises injecting the ions from the ion trap into the TOF mass analyser. In some embodiments, the ions are initially stored in the ion trap by applying an RF trapping voltage, wherein the instrument parameter associated with each reference calibration curve is an amplitude or frequency of the RF trapping voltage. As such, in some embodiments, the amplitude and/or frequency of the RF trapping voltage may impact the measured flight times of ions. Accordingly, calibrating the TOF mass analyser to account for the RF trapping voltage setting used with each TOF mass analysis may improve the accuracy of the analysis.
In some embodiments, the mass to charge range of interest and the associated instrument parameter are specified by a user. As such, in some embodiments, the instrument parameter may be selected based on the mass to charge range of interest specified by the user. For example, for the injection of ions into the TOF mass analyser, one or more instrument parameters associated with the injection of ions may be specified based on the mass to charge ratio of the ions to be analysed, for example to improve the injection efficiency of ions into the TOF mass analyser. However, such an instrument parameter may also affect the calibration of the TOF mass analyser. The method according to the second aspect provides a method of determining a calibration curve which accounts for the instrument parameter selected in order to improve the accuracy of the analysis.
In some embodiments, the mass to charge range of interest comprises a first subrange having an associated first instrument parameter and a second subrange having an associated second instrument parameter, the first and second instrument parameters being different. In some embodiments, the method of TOF mass spectrometry comprises: measuring the flight times of the ions having a mass to charge ratio within the first subrange using the first instrument parameter, and measuring the flight times of the ions having a mass to charge ratio within the second subrange using the second instrument parameter. In some embodiments, a first calibration curve is determined for the first subrange, and a second calibration curve is determined for the second subrange. As such the method of mass spectrometry may vary the instrument parameter over a mass to charge range of interest, wherein the calibration curve used is also updated in accordance with the variation in the instrument parameter.
According to a third aspect of the disclosure, a Time of Flight (TOF) mass analysis system is provided. The TOF mass analysis system comprises: a Time of Flight (TOF) mass analyser; and a controller. The TOF mass analysis system has an instrument parameter which is controlled by the controller, wherein the instrument parameter has an effect on the flight time of a calibrant ion. The controller is configured to cause the TOF mass analyser to perform a plurality of calibration analyses of calibrant ions. Each calibration analysis comprises measuring the flight times of the calibrant ions using the TOF mass analyser; and determining a reference calibration curve for the TOF mass analyser based on known mass to charge ratios of the calibrant ions and the respective flight times, wherein the reference calibration curve is associated with the instrument parameter of the TOF mass analyser for the respective calibration analysis. For each of the plurality of calibration analyses, a value of the instrument parameter of the TOF mass analyser is different. The controller is also configured to determine a calibration curve for use in a TOF mass analysis performed by the TOF mass analyser, wherein the calibration curve is determined based on the plurality of reference calibration curves and the instrument parameter of the TOF mass analyser to be used in the TOF mass analysis.
As such, a TOF mass analysis system, for example a TOF mass spectrometer, may be provided which is configured to perform the method of the first aspect. It will be appreciated that the TOF mass analysis system of the third aspect may be configured to perform any of the optional features discussed above in relation to the first aspect (and also the second aspect).
In some embodiments, the TOF mass analysis system may comprise an ion preparation device, preferably an ion trap, which is configured to store calibrant ions and to inject calibrant ions into the TOF mass analyser. For each calibration analysis, the controller may be configured to cause the ion preparation device to inject the calibrant ions from the ion trap into the TOF mass analyser. In some embodiments, the ion trap is configured to apply an RF trapping voltage to store the calibrant ions in the ion trap. In some embodiments, the instrument parameter associated with each reference calibration curve is an amplitude or frequency of the RF trapping voltage. As such, in some embodiments, the amplitude and/or frequency of the RF trapping voltage may impact the measured flight times of ions. Accordingly, calibrating the TOF mass analyser to account for the RF trapping voltage setting used with each TOF mass analysis may improve the accuracy of the analysis.
In some embodiments, the controller is configured to cause the TOF mass analyser to perform plurality of calibration analyses comprising causing the TOF mass analyser to perform a first calibration analysis where the calibrant ions are first calibrant ions having a first set of mass to charge ratios, and causing the TOF mass analyser to perform a second calibration analysis where the calibrant ions are second calibrant ions having a second set of mass to charge ratios different to the first set of mass to charge ratios of the first calibrant ions. As such, each of the first and second calibration analyses may cover a different mass to charge range of interest, wherein each of the first and second calibration analyses is performed with a different instrument parameter.
In some embodiments, the controller is configured to cause the TOF mass analyser to perform the plurality of calibration analyses comprising causing the TOF mass analyser to perform a first calibration analysis from which the controller determines a first refence calibration curve, the first reference calibration curve defined between a first mass to charge value and a second mass to charge value. The controller may also be configured to cause the TOF mass analyser to perform a second calibration analysis from which the controller determines a second reference calibration curve, the second reference calibration curve defined between a third mass to charge value and a fourth mass to charge value, wherein the fourth mass to charge value is outside the range defined by the first and second mass to charge values. As such, in some embodiments the mass to charge range defined by the third and fourth mass to charge values may partially overlap with the mass to charge range defined by the first and second mass to charge values. In some embodiments, the mass to charge range defined by the third and fourth mass to charge values may not overlap with the mass to charge range defined by the first and second mass to charge values. It will be appreciated that where a plurality of calibration analyses are provided, the mass to charge range of one or more of the calibration analyses may overlap with one or more of the other calibration analyses. Each of the calibration analyses may have a different instrument parameter setting. Accordingly, the plurality of reference calibration curves determined may provide information on the non-linearities associated with the instrument parameter for a range of different instrument parameter setting and for different mass to charge ranges.
In some embodiments, the controller is configured to determine a calibration curve based on the reference calibration curve of the plurality of reference calibration curves having an associated instrument parameter which is closest to the instrument parameter of the TOF mass analyser to be used in the TOF mass analysis.
In some embodiments, the controller is configured to determine a calibration curve by interpolating between two of the reference calibration curves having associated instrument parameters which bound the instrument parameter to be used in the TOF mass analysis. By using interpolation to determine a calibration curve, the method may take into account a plurality of reference calibration curves, which may improve the accuracy of the calibration.
According to a fourth aspect, a TOF mass analysis system configured to mass analyse a plurality of ions having a mass to charge ratio range of interest is provided. The TOF mass analysis system comprises a TOF mass analyser and a controller. The controller is configured to cause the TOF mass analyser to measure the flight times of a plurality of ions having a mass to charge ratio within the mass to charge range of interest, wherein the TOF mass analyser performs the measurement of the flight times with an associated instrument parameter of the TOF mass analysis system. The controller is also configured to determine a calibration curve for the TOF mass analyser. The controller determines the calibration curve based on a plurality of reference calibration curves, each reference calibration curve associated with a different value for the instrument parameter of the TOF mass analyser; and the instrument parameter of the TOF mass analysis system used to measure the flight times of the ions. The controller is also configured to apply the calibration curve to the measured flight times of the ions in order to determine mass to charge ratios for the ions.
As such, it will be appreciated that the TOF mass analysis system of the fourth aspect may be configured to perform the method of the second aspect of the disclosure. In some embodiments, the TOF mass analysis system of the fourth aspect may also be capable of performing the method of the first aspect.
In some embodiments, the TOF mass analysis system of the fourth aspect may comprise an ion preparation device, preferably an ion trap. In some embodiments, the ions to be measured are initially stored in the ion preparation device, which is connected to the TOF mass analyser, wherein for the measurement of the flight times of the ions the controller is configured to cause the ion preparation device to inject the ions from the ion trap into the TOF mass analyser. In some embodiments, the ion preparation device is configured to apply an RF trapping voltage in order to store the ions in the ion trap, wherein the instrument parameter associated with the measurement of the ions is an amplitude or frequency of the RF trapping voltage.
In some embodiments, the mass to charge range of interest and the instrument parameter are specified by a user.
In some embodiments, the mass to charge range of interest comprises a first subrange having an associated first instrument parameter and a second subrange having an associated second instrument parameter, the first and second instrument parameters being different. In some embodiments, the controller is configured to cause the TOF mass analyser to measure the flight times of the ions for each of the first and second subranges with the respective first and second instrument parameters. In some embodiments, the controller is configured to determine a first calibration curve for the first subrange, and to determine a second calibration curve for the second subrange, wherein the controller is configured to apply the first calibration curve to the measured flight times of the ions over the first subrange and to apply the second calibration curve to the measured flight times of the ions over the second subrange in order to determine mass to charge ratios for the ions.
According to a fifth aspect of the disclosure, a computer program comprising instructions to cause the TOF mass analysis system of the third or fourth aspects to execute the steps of the method according to the first and/or second aspects of the disclosure is provided.
According to a sixth aspect of the disclosure, a computer-readable medium having stored thereon the computer program of the fifth aspect is provided.
The disclosure will now be described with reference to the following non-limiting figures in which:
According to an embodiment of the disclosure, a TOF mass analysis system 1 is provided. A schematic diagram of the TOF mass analysis system is shown in
The ion source 2 is configured to provide a source of ions for analysis by the TOF mass analyser 10. The ion source 2 may be configured to ionise sample molecules to produce sample ions which are to be analysed by the TOF mass analyser 10. In some embodiments, the ion source 2 may be an electrospray ionisation source. In some embodiments, the ion source 2 may be configured to ionise a stream of sample molecules provided from a chromatographic apparatus (not shown in
The ion preparation device 4 is configured to receive ions from the ion source 2. Ions may be accumulated (stored) in the ion preparation device 4. The ion preparation device 4 may comprise a plurality of electrodes arranged to define an ion storage volume in which ions are stored. The ion preparation device 4 may be configured to apply one or more voltages to the electrodes in order to receive, trap, and eject ions from the ion storage volume. The ion preparation device 4 is configured to eject the stored ions from the ion preparation device (directly) into the TOF mass analyser 10. In some embodiments, the ion preparation device 4 may be an ion trap. For example, the ion trap may be a linear ion trap or a curved ion trap (C-trap).
The ion preparation device 4 may be configured to store ions received from the ion source 2 until a desired number of ions have been accumulated in the ion preparation device 4, or until a predetermined time period has elapsed, following which the ion preparation device 4 may eject the stored ions into the TOF mass analyser 10. The ion preparation device 4 may be configured to store ions by applying an RF trapping voltage to electrodes of the ion preparation device 4. The RF trapping voltage applied has an RF voltage amplitude and an RF voltage frequency. Trapped ions may be ejected from the ion preparation device 4 by application of an ejection voltage to the electrodes of the ion preparation device 4.
In some embodiments, other ion transport devices (not shown in
The TOF mass analyser 10 is configured to receive ions from the ion preparation device 4. In some embodiments, the TOF mass analyser 10 may be a multiple reflection TOF mass analyser (MR-TOF). A schematic diagram of an MR-TOF mass analyser 10a is shown in
The MR-ToF 200 comprises a first converging ion mirror 11 and a second converging ion mirror 12. The first and second converging ion mirrors 11, 12 are arranged opposite each other in order to define an ion trajectory which involves multiple reflections between the first and second converging ion mirrors 11, 12. As further shown in
While the following description of the calibration of a TOF mass analyser 10 will discuss the calibration of the MR-TOF 10a of
TOF mass analysers 10 are generally capable of determining the m/z ratio of ions within an accuracy of about 5 ppm (parts per million), more preferably up to about 1 ppm.
In brief, the ion time-of-flight t may be expressed as a function of effective path length L, energy induced per charge by the acceleration voltage U in units of electron Volts, and mass/charge ratio of the ion m/z:
Therefore, as m/z˜t2, one method for calibrating a TOF mass analyser involves measuring the time-of-flight of a plurality of calibrant ions of known m/z. The calibrant ions may be provided a part of a calibration mixture (for example Pierce™ Flexmix™) which is ionised by the ion source 2. The measured flight times may then be used to fit parameters from a 2nd order polynomial calibration function.
Polynomial-based calibration methods have been found to be suitable for TOF mass analysers, including MR-TOFs such as the MR-TOF of
While the calibration curve obtained in
The present inventors have realised that for TOF mass analysis systems comprising an ion preparation device 4 that both RF traps ions and pulse extracts them into the TOF mass analyser 10, variation in instrument parameters associated with the ion preparation device may be highly m/z dependent. As such, the inventors have realised that variation of the trapping RF amplitude of the ion preparation device 4 produces very substantial shifts in measured m/z. Moreover, the variation in measured m/z with trapping RF amplitude is highly non-linear and m/z dependent, such that the variation is challenging to capture with a single calibration curve.
For the RF trapping voltage, the source of the mass shift is believed to result from interference from residual RF that interferes with the pulsed extraction process.
As shown in
Thus, according to an embodiment of the disclosure a method 100 of calibrating the TOF mass analyser 10 of
According to the method 100, a plurality of calibration analyses of calibrant ions are performed using the TOF mass analyser 10. For each calibration analysis, the flight times of calibrant ions are measured using the TOF mass analyser 10, wherein the TOF mass analyser has an associated instrument parameter which has an effect on the flight times of the calibrant ions.
For example, in method 100, the instrument parameter is the RF trapping voltage amplitude of the ion preparation device 4. Thus, in steps 101, 102, 103, and 104 of method 100, a plurality of calibration analyses are performed using different RF trapping voltage amplitudes.
Thus, in step 101 the RF trapping voltage amplitude (instrument parameter) is selected from a list of RF trapping voltages to be measured. In general, the calibration should be performed over a range of instrument parameter values over which the TOF mass analysis system 1 is to be operated. For example, for the TOF mass analyser 10a, the calibration may be performed for RF trapping voltage amplitudes from about 400 V to about 1800 V at intervals of about 50 V for example. As such, at least 10, preferably at least 20 calibration analyses may be performed for the instrument parameter to be calibrated.
In step 102, the calibrant ions are analysed using the TOF mass analyser 10, wherein the selected instrument parameter is applied to the TOF mass analysis system 1.
In step 103, a reference calibration curve is determined for the TOF mass analyser 10 based on the known mass to charge ratios of the calibrant ions and the respective flight times. In some embodiments, the reference calibration curve determined may be a polynomial calibration curve. For example, the reference calibration curve may be of the form:
As such, in some embodiments, the reference calibration curve may be a polynomial of order at least: 2, 3 or 5. Determining a reference calibration curve may comprise fitting the parameters A, B, and C such that the measured m/z ratios of the calibrant ions are fitted to the known m/z ratios of the calibrant ions.
In step 104 of the method, the TOF mass analysis system 1 may assess whether reference calibration curves have been obtained for all instrument parameter settings of interest. As such, steps 101, 102 and 103 may be repeated at different instrument parameter settings in order to obtain the desired plurality of reference calibration curves.
In some embodiments, each calibration analysis may be performed using the same calibrant ions over the same m/z range.
In some embodiments, it may be desirable calibrate the TOF mass analysis system 1 over a relatively wide m/z range, such that different calibrant ions and/or different m/z ranges may be used for the calibration analyses.
For example, in some embodiments, one or more first calibration analyses may be performed where the calibrant ions are first calibrant ions having a first set of mass to charge ratios. In some embodiments, one or more second calibration analyses may also be performed where the calibrant ions are second calibrant ions having a second set of mass to charge ratios different to the first set of mass to charge ratios of the first calibrant ions. As such, the plurality of calibration analyses may use different calibrant ions (or different subsets of calibrant ions) in order to build up library of reference calibration curves over a relative broad m/z range with improved accuracy.
In some embodiments, the first calibration analyses may be performed over a first m/z range, and the second calibration analyses may be performed over a second m/z range. Accordingly, the first calibration analyses may be used to determined respective first reference calibration curves defined between a first mass to charge value and a second mass to charge value. The one or more second calibration analyses may be used to determine respective second reference calibration curves defined between a third mass to charge value and a fourth mass to charge value, wherein the fourth mass to charge value is outside the range defined by the first and second mass to charge values. As such, the first and second reference calibration curves may cover different m/z ranges. In some embodiments, the first and second reference calibration curves may overlap in m/z at least partially. As such, the plurality of calibration analyses may cover different m/z ranges in order to build up library of reference calibration curves over a relative broad m/z range with improved accuracy.
In step 105, the reference calibration curves may be stored by the TOF mass analysis system 1 for use at a later date. In some embodiments, as part of step 105 the TOF mass analysis system 1 may determine a calibration curve for use in a TOF mass analysis performed by the TOF mass analyser 10. The calibration curve may be determined based on the plurality of reference calibration curves and the instrument parameter of the TOF mass analyser to be used in the TOF mass analysis.
For example, in some embodiments a calibration curve is determined based on the reference calibration curve of the plurality of reference calibration curves having an associated instrument parameter which is closest to the instrument parameter of the TOF mass analyser to be used in the TOF mass analysis. As such, a reference calibration curve may be selected which was obtained under an instrument parameter setting which is most similar to the instrument parameter setting to be used in the TOF mass analysis.
In some embodiments, a calibration curve may be determined by interpolating between two of the reference calibration curves having associated instrument parameters which bound the instrument parameter of the ion trap to be used in the TOF mass analysis. For example, where the reference calibration curves are defined by a plurality of parameters (e.g. A, B, C, . . . etc.), a calibration curve may be determined by interpolation of each of the parameters between two sets of parameters (e.g. parameter A is obtained by interpolation between parameters A1 and A2 etc.).
While the above description describes a method for calibrating a TOF mass analyser for variations in RF trapping voltage, it will be appreciated that other instrument parameters may be calibrated using a similar methodology. For example, instrument parameters such as RF trapping voltage frequency, ion population per TOF mass analysis and the like may also be calibrated using similar techniques.
In some embodiments, a calibration curve may be determined which takes into account a variation in two (or more) instrument parameters. In such cases, the above described methods of determining a calibration curve may take into account a two-dimensional selection of reference calibration curves. For example, a reference calibration curve which is most similar to the combination of instrument parameters may be used to determine the calibration curve. In other embodiments, a two-dimensional interpolation of parameters A, B, C may be used to determine a calibration curve.
Thus, a calibration curve may be obtained which more accurately accounts for the effect of one or more instrument parameters on the calibration of the TOF mass analysis system 1.
In addition to method 100 for calibrating the TOF mass analyser, according to a further embodiment of the disclosure a method 200 of TOF mass spectrometry for a mass to charge ratio range of interest is provided.
In step 201, a plurality of ions having mass to charge ratios within the mass to charge ratio range of interest are provided. For example, the plurality of ions may be sample ions to be analysed. The sample ions may be provided by the chromatographic apparatus.
In step 202, the flight times of the ions may be measured using the TOF mass analyser 10, wherein the TOF mass analyser has an associated instrument parameter used to measure the flight times. For example, where the instrument parameter is RF trapping voltage, the RF trapping voltage may be selected based on the m/z range of the ions to be analysed. It will be appreciated that steps 201 and 202 of providing and mass analysing ions may be performed in a similar manner to the calibration analyses discussed above, and so these steps will not be discussed in further detail.
In step 203, a calibration curve for the TOF mass analyser is obtained. The calibration curve is obtained based on a plurality of reference calibration curves, each reference calibration curve associated with a different value for the instrument parameter of the TOF mass analyser; and the instrument parameter of the TOF mass analyser used to measure the flight times of the ions. It will be appreciated that the reference calibration curves may be obtained using the method of calibrating the TOF mass analysis system described above.
In step 204, the calibration curve is applied to the measured flight times of the ions in order to determine mass to charge ratios for the ions.
In some embodiments, the mass to charge range of interest comprises a first subrange having an associated first instrument parameter and a second subrange having an associated instrument parameter, the first and second instrument parameters being different. Thus, for TOF analyses where it is desirable to change instrument parameter settings for different m/z range, the method 200 may update the calibration curves used accordingly.
Thus in some embodiments of method 200, step 202 comprises measuring the flight times of the ions having a mass to charge ratio within the first subrange using the first instrument parameter; and measuring the flight times of the ions have a mass to charge ratio within the second subrange using the second instrument parameter. In such embodiments, in step 203 a first calibration curve is determined for the first subrange and a second calibration curve is determined for the second subrange. The associated calibration curves are then applied in step 204 in order to determine the m/z of the ions.
Thus, according to method 200, the calibration curve used for the TOF mass analysis system 1 may be determined on a per-measurement basis. As such, where a TOF mass analysis workflow is to be performed comprising a plurality of TOF measurements in which the instrument parameter is varied, the calibration of the TOF mass analyser may be adjusted to compensate for any mass shift associated with the variation in the instrument parameter.
In the example of
Turning to
In
In
As discussed above, in some embodiments, the amplitude of the RF trapping voltage may, at least in part cause a shift in the determined m/z of an ion. This shift may be observed as a shift in the observed time of flight (flight time) for an ion of a known m/z. As such, in some embodiments the plurality of calibration analyses may be used to determine a time of flight shift for a given instrument parameter (RF trapping voltage).
As will be appreciated from
where c0, c1, c2, c3 are parameters to be fitted to the determined time of flight shifts from the plurality of calibration analyses.
This RF trapping voltage dependent time of flight shift can be incorporated in the process of determining a plurality of reference calibration curves and/or the determining of a calibration curve for use in a TOF analysis.
For example, in some embodiments, reference calibration curves of the form m/z=At2+Bt+C may be determined based on a time of flight value t which is updated based on the time of flight shift. As such, prior to finding RF amplitude dependent model parameters, an RF amplitude dependent time of flight shift t (A) can be subtracted from the arrival time. This offset can be found by fitting a model of the form:
to calibration data that has been obtained using different (singly charged) calibrant ion species of known mass m and under known RF amplitudes A. Here, tm is an offset parameter for each known calibrant ion mass and the model t (A) for the RF amplitude dependent time of flight shift is mass independent. In
For example, in some embodiments, an initial estimate for the model may be based on a linear fit using the calibration data:
In such an embodiment, the parameters ao, c0, c1, c2, c3 may be estimated initially using a linear fit of the calibration data. In some embodiments, the model may be further refined using a curve fitting algorithm. For example, a Levenberg-Marquardt algorithm (damped least-squares) algorithm may be used to refine the estimated parameters in order to improve the model behavior.
In some embodiments, the updated time of flight value t (m, A) may then be used to determine an associated reference calibration curve of the form m/z=At2+Bt+C according to the methods as discussed above. As such, the reference calibration curve for each calibrant ion may be modelled as:
where a (A), b (A), and c (A) are RF-dependent parameters to be fitted.
Alternatively, another possible model for each reference calibration curve to obtain the m/z from a given arrival time t and RF amplitude A could be of the form:
where to is a time of flight/mass dependent parameter and a0 is an RF-dependent parameter to be fitted.
So, in some embodiments, the determination of each reference calibration curve may be a multi-stage process in which the time of flight data is first shifted to account for the influence of the RF trapping voltage on time of flight, followed by determining a reference calibration curve which takes into account any m/z dependent behavior.
As such, in some embodiments, the multi-stage process for determining each reference calibration curve may take into account a plurality of instrument parameters. For example, in some embodiments the RF trapping voltage behavior may be accounted for in a step of calculating the time of flight shift. A reference calibration curve may then be determined based on a different instrument parameter (e.g. RF trapping voltage frequency, ion population per TOF mass analysis and the like) using the time-shifted time of flight measurements.
Thus, in accordance with embodiments of this disclosure methods of calibrating a TOF mass analyser and performing TOF mass analysis are provided.
Number | Date | Country | Kind |
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2304506.5 | Mar 2023 | GB | national |