Non-linear signal response functions and their effects on the statistical and noise cancellation properties of isotope ratio measurements by multi-collector plasma mass spectrometry

A nebulizer-centric response function model of the analytical inductively coupled argon plasma ion source was used to investigate the statistical frequency distributions and noise reduction factors of simultaneously measured flicker noise limited isotope ion signals and their ratios. The response function model was extended by assuming i) a single gaussian distributed random noise source (nebulizer gas pressure fluctuations) and ii) the isotope ion signal response is a parabolic function of the nebulizer gas pressure.Model calculations of ion signal and signal ratio histograms were obtained by applying the statistical method of translation to the non-linear response function model of the plasma. Histograms of Ni, Cu, Pr, Tl and Pb isotope ion signals measured using a multi-collector plasma mass spectrometer were, without exception, negative skew. Histograms of the corresponding isotope ratios of Ni, Cu, Tl and Pb were either positive or negative skew. There was a complete agreement between the measured and model calculated histogram skew properties.The nebulizer-centric response function model was also used to investigate the effect of non-linear response functions on the effectiveness of noise cancellation by signal division. An alternative noise correction procedure suitable for parabolic signal response functions was derived and applied to measurements of isotope ratios of Cu, Ni, Pb and Tl. The largest noise reduction factors were always obtained when the non-linearity of the response functions was taken into account by the isotope ratio calculation.Possible applications of the nebulizer-centric response function model to other types of analytical instrumentation, large amplitude signal noise sources (e.g., lasers, pumped nebulizers) and analytical error in isotope ratio measurements by multi-collector plasma mass spectrometry are discussed.     

Noise filtering techniques for electrospray quadrupole time of flight mass spectra

The sensitivity of protein identification by peptide sequencing using a nanoelectrospray ion source is limited by our ability to identify peptide ions in the mass spectrum. Their intensity must be higher than the chemical noise level to allow a rapid localization in the spectrum. Multiply-charged peptide ions on or below this level can only be found because their isotopic pattern is denser than that of the mostly singly-charged chemical background ions. However, to find peptides by looking for multiply-charged isotope clusters can be very timeconsuming and may lead to misassignments of the first isotope. Here we present a software-based method to increase the signal to noise ratio of ion signals in an electrospray spectrum. The software has two elements, one to reduce the noise level and a second to increase the intensity of ion peaks. Both methods together generate a spectrum in which the signal to noise ratio of ion signals is considerably improved. Peptide ions previously hidden in the chemical background are dismantled and can now be localized and selected for fragmentation. The method has been used successfully to identify low level proteins separated by one dimensional gel electrophoresis.     

Application of static signal-to-noise theory to the detection and integration of dynamic signals

Static, time-independent noise terms are combined to estimate the noise and signal-to-noise ratio (S/N) of dynamic, time-dependent methods. Simplified S/N equations for shot-noise-limited and flicker-noise-limited analyte signals with and without background signal noises are given. The intuitive aspects of peak integration are justified by these equations. For an ideal Gaussian peak, the equations are used to derive the chromatographic limit of detection (LOD). A comparison of the chromatographic detection limit with the detection limit for a static system using the same amount of sample predicts poorer chromatographic detection limits because of peak broadening. A possible determinate error in area measurement is shown to result when integration limits are chosen on the basis of the static detection limit.     

Evaluation and correction of isotope ratio inaccuracy on inductively coupled plasma time-of-flight mass spectrometry

Isotope ratio measurements are found to have systematic bias when using the analog detection mode on an inductively coupled plasma time-of-flight (TOF) mass spectrometer. This bias is dependent upon the value of the ratio, the intensity of the signal, and the gain of the electron multiplier tube. The error should not appear if ion counting is employed instead of analog detection, although analog detection with time-of-flight has other distinct advantages. The cause of this isotope ratio inaccuracy is rooted in disproportionate recording of the analog signal because of the need to filter out noise by blocking analog signals below a threshold voltage. This attenuates smaller signals to a greater degree than larger signals. This variable “detection efficiency” causes a larger systematic error in the isotopic ratio as the isotopic abundances become more disparate. Ratios close to unity are generally accurate within the precision of the measurement. The use of an increased gain on the detector leads to improved ratio accuracy, but at the cost of decreased detector lifetime. This research presents a method of analyzing solutions using natural, known isotopic ratios to produce an efficiency correction curve. The average error of several isotope ratios for a 500 ng/mL solution of various elements with ratios between 3.4 and 10 was found to be 6.5% without correction, 3.0% with increased detector gain, 1.1% with efficiency correction and 0.6% with both increased gain and efficiency correction.     

The use of sector field ICP-mass spectrometry for Rb-Sr geochronological dating

Rb-Sr dating, one of the most important tools in geochronology, requires determination of the Rb/Sr concentration ratios and the 87Sr/86Sr isotope ratios in co-genetic minerals or rocks and is traditionally performed by thermal ionization mass spectrometry (TIMS). In this work we investigated whether sector field inductively coupled plasma mass spectrometry (ICP-MS), which is characterized by a high sample throughput and straight-forward sample introduction, could be used as an alternative to TIMS. To avoid spectral overlap of the ion signals of the isobaric nuclides 87Sr and 87Rb, Sr was separated from Rb by cation-exchange chromatography. A mathematical correction was applied to take into account the small amount of Rb that can be present in the Sr fraction. The isotope ratio accuracy and precision attainable with ICP-MS were evaluated by analysis of several reference materials from the US Geological Survey. The results of this evaluation show that excellent accuracy could be achieved; the internal precision (repeatability) of the isotope ratio (expressed as the relative standard deviation for 10 successive 1-min measurements) was 0.04-0.12%. An attempt was made to calculate the total or combined uncertainty on the isotope ratio results, by also taking into account other possible error sources (corrections for mass discrimination, detector dead time, blank signal and Rb fraction). Finally, the same procedure was used for dating two rock formations that were 2,500 Ma and 350 Ma old, according to age determinations previously performed by the Rb-Sr laboratory of the University of München (Germany) using TIMS. The ICP-MS results (2,520 +/- 150 Ma and 379 +/- 48 Ma) obtained for these formations compare well with the corresponding TIMS data (2,509 +/- 120 Ma and 357 +/- 25 Ma).     

Mass Spectrometric Determination of Zirconium from a Resin Bead

Abstract

A sensitive, isotope dilution technique has been developed for the analysis of sub-microgram amounts of zirconium. The analysis is based on the increased thermal ion emission for Zr adsorbed on a single anion resin bead. Zr is isolated from a solution containing the sample and a highly enriched ⁹⁴Zr (96%) spike. The determination is made possible by using a high-sensitivity pulse-counting 2-stage 30-cm radius mass spectrometer. The detection limit depends upon the amount of the isotope spike added and the desired precision. Fifty nanograms of zirconium (sample plus spike) produce sufficient ion signals for reliable isotopic analysis so that fission Zr can be measured with blank correction to a precision of 3%. By this method for fission Zr in spent reactor fuel particles, contamination from normal Zr and Mo can be corrected out by making isotopic measurements before and after spiking and scanning masses 90 and 95 during analysis. Since neither masses 90 nor 95 are stable fission products, their presence is due to sample contamination and can be used for correction based on their normal isotopic distributions. Zone-refined tantalum ribbon, essentially free of normal Zr and Mo was selected as the ionizing filament. This method can be adapted to a wide variety of samples.     

Preparative separation of underivatized amino acids for compound-specific stable isotope analysis and radiocarbon dating of hydrolyzed bone collagen

Analysis of stable and radioactive isotopes from bone collagen provides useful information to archaeologists about the origin and age of bone artifacts. Isolation and analysis of single amino acids from the proteins can provide additional and more accurate information by removing contamination and separating a bulk isotope signal into its constituent parts. In this paper, we report a new method for the separation and isolation of underivatized amino acids from bone collagen, and their analysis by isotope ratio MS and accelerator MS. RP chromatography is used to separate the amino acids with nonpolar side chains, followed by an ion pair separation to isolate the remaining amino acids. The method produces single amino acids with little or no contamination from the separation process and allows for the measurement of accurate stable isotope ratios and pure samples for radiocarbon dating.     

Determination of (13)C natural abundance of amino acid enantiomers in soil: methodological considerations and first results

The application of a combined gas chromatography-combustion/isotope ratio mass spectrometry (GC-C/IRMS) method for stable carbon isotope analysis of amino acid enantiomers in soil samples is presented. Triplicate delta(13)C analyses of pentafluoropropionyl (PFP) isopropyl ester derivatives of 27 amino acid enantiomers revealed that discrimination of (13)C during derivatization is different for different amino acid enantiomers and different amounts. Injection of increasing amounts of amino acid derivatives showed that the isotopic signal varied up to 10 per thousand for D-aspartic acid. Correction for the delta(13)C signal of underivatized amino acid enantiomers is possible for all investigated amino acid enantiomers using logarithmic functions. Operating the GC-C/IRMS system in the split-mode (split ratio 1:12) is possible but resulted in a higher isotopic discrimination. The detection limit approached 3 ng for some amino acid enantiomers in the splitless mode, while the lower limit of routine determination exceeded 10 ng injection amount. The upper limit at which accurate stable isotope values were obtained was 200 ng injection amount. Compound-specific delta(13)C analysis of alanine, valine, aspartic and glutamic acid showed that the D-forms were enriched in (13)C relative to the L-forms, suggesting that microbes significantly contributed to the formation of the D-enantiomers in soil.     

Polynomial mass bias functions for the internal standardization of isotope ratio measurements by multi-collector inductively coupled plasma mass spectrometry

The development and application of a calibration strategy for routine isotope ratio analysis by multi-collector inductively coupled plasma mass spectrometry (ICP-MS) is described and assessed. Internal standardization was used to account for the mass dependant determinate error (mass bias). The general solution for polynomial isotope ratio mass bias functions for use with internal standardization and isotope ratio measurements by multi-collector inductively coupled plasma mass spectrometry was derived. The resulting linear isotope ratio mass bias function was demonstrated to be mathematically consistent and experimentally realistic for the analysis of acidified aqueous solutions of analyte and internal standard elements (clean solutions) by multi-collector inductively coupled plasma mass spectrometry.     

Fully automatic and precise data analysis developed for time‐of‐flight mass spectrometry

Scientific objectives of current and future space missions are focused on the investigation of the origin and evolution of the solar system with the particular emphasis on habitability and signatures of past and present life. For in situ measurements of the chemical composition of solid samples on planetary surfaces, the neutral atmospheric gas and the thermal plasma of planetary atmospheres, the application of mass spectrometers making use of time‐of‐flight mass analysers is a technique widely used. However, such investigations imply measurements with good statistics and, thus, a large amount of data to be analysed. Therefore, faster and especially robust automated data analysis with enhanced accuracy is required. In this contribution, an automatic data analysis software, which allows fast and precise quantitative data analysis of time‐of‐flight mass spectrometric data, is presented and discussed in detail. A crucial part of this software is a robust and fast peak finding algorithm with a consecutive numerical integration method allowing precise data analysis. We tested our analysis software with data from different time‐of‐flight mass spectrometers and different measurement campaigns thereof. The quantitative analysis of isotopes, using automatic data analysis, yields results with an accuracy of isotope ratios up to 100 ppm for a signal‐to‐noise ratio (SNR) of 10⁴. We show that the accuracy of isotope ratios is in fact proportional to SNR⁻¹. Furthermore, we observe that the accuracy of isotope ratios is inversely proportional to the mass resolution. Additionally, we show that the accuracy of isotope ratios is depending on the sample width T _s by T _s^0.5. Copyright © 2017 John Wiley & Sons, Ltd.     

Short transient signals, a challenge for inductively coupled plasma mass spectrometry, a review

The ability to acquire and handle short transient signals is key in order to open new applications for inductively coupled plasma mass spectrometry (ICP-MS), for example, in life sciences. Technological and methodological achievements are reviewed to show challenges and capabilities of short transients in ICP-MS technology or hyphenated techniques. The dynamic processes in the plasma need to be controlled or observed to assure quality of quantitative results. Most precise instrumentation is to date multiple collector sector field MS but drifting isotope ratios are observed in transient signals using these instruments, thus limiting precision of such measurements and leaving unknowns in quantitative results. TOFMS in principle provides fast simultaneous multi-element detection, scanning instruments like quadrupole MS or scanning sector field MS are fundamentally restricted. However, new commercial ICP-MS instruments can be expected in the near future, making short transients more and more attractive to shorten acquisition times and to increase signal to noise ratio of element analyses.     

Computational principles of determining and improving mass precision and accuracy for proteome measurements in an Orbitrap

Precision proteomics requires high-resolution and high mass accuracy peptide measurements. The Orbitrap instrument achieves excellent resolution on a chromatographic time scale and its design is favorable for very high mass accuracy. Here we describe how mass precision for each peptide increases successively by considering all associated measurements, starting from the MS peak and proceeding to its chromatographic elution profile, isotope envelope, and stable isotope pair in SILAC measurements. We extract peptide charge pairs to perform nonlinear recalibration of the Orbitrap mass scale through spline interpolation. The deviation of mass values determined from charge pairs is used to convert mass precision to mass accuracy for subsequent database search. The corrected mass precision is consistent with the mass accuracy independently determined by database identification. Individual mass deviations range from below 100 ppb for peptides with many associated mass measurements and good signal intensities to low ppm for peptides with few mass measurements and signals close to the noise level. This extremely high and individualized mass accuracy is equivalent to a substantial increase in database identification score.     

Development of a nano-liquid chromatography on chip tandem mass spectrometry method for high-sensitivity hepcidin quantitation

Microfluidic LC systems present undeniable advantages over classical LC in terms of sensitivity. Hepcidin, a peptide marker of clinical disorders linked to iron metabolism, was used as model to demonstrate peptide quantification potentialities of LC-chip coupled to a nanoelectrospray source ion trap mass spectrometer in an aqueous sample. First, stable isotope labelled hepcidin was chosen as internal standard and gradient as well as sample compositions were optimised using design of experiments as development tool. The method was then prevalidated using accuracy profiles in order to select the most appropriate response function and to confirm the ability of the technique to quantify low hepcidin concentration. A reliable and very sensitive quantitation method was finally obtained using this integrated microfluidic technology. Indeed, good results with respect to accuracy, trueness and precision were achieved, as well as a very low limit of quantitation (0.07 ng/ml). Method suitability of nano-LC on chip tandem mass spectrometry for hepcidin quantitation was also demonstrated in complex media such as human plasma.     

Correction of mass spectrometric isotope ratio measurements for isobaric isotopologues of O2, CO,CO2, N2O and SO2

Gas isotope ratio mass spectrometers usually measure ion current ratios of molecules, not atoms. Often several isotopologues contribute to an ion current at a particular mass‐to‐charge ratio (m/z). Therefore, corrections have to be applied to derive the desired isotope ratios. These corrections are usually formulated in terms of isotope ratios (R), but this does not reflect the practice of measuring the ion current ratios of the sample relative to those of a reference material. Correspondingly, the relative ion current ratio differences (expressed as δ values) are first converted into isotopologue ratios, then into isotope ratios and finally back into elemental δ values. Here, we present a reformulation of this data reduction procedure entirely in terms of δ values and the ‘absolute’ isotope ratios of the reference material. This also shows that not the absolute isotope ratios of the reference material themselves, but only product and ratio combinations of them, are required for the data reduction. These combinations can be and, for carbon and oxygen have been, measured by conventional isotope ratio mass spectrometers. The frequently implied use of absolute isotope ratios measured by specially calibrated instruments is actually unnecessary. Following related work on CO₂, we here derive data reduction equations for the species O₂, CO, N₂O and SO₂. We also suggest experiments to measure the required absolute ratio combinations for N₂O, SO₂ and O₂. As a prelude, we summarise historic and recent measurements of absolute isotope ratios in international isotope reference materials. Copyright © 2008 John Wiley & Sons, Ltd.     

Negative ion source for chlorine isotope ratio measurements

A negative chlorine ion source has been designed and constructed. The source utilizes direct surface ionization of chloromethane gas on a hot metal filament. Four different alloys for the filament material were tested: W99Th1, W75Re25, Hf97.5Zr2.5 and Mo52.5Re47.5. We conclude that the best filament material is the MoRe alloy, for which the signal‐to‐noise ratio is optimal. The ion source is used for chlorine isotope ratio measurements with higher precision and sensitivity than the positive ionization source used previously. Inasmuch as only negative ions of the two isotopes of interest are observed, no corrections to the measured isotope ratio are necessary, and less rigously purified samples may be analyzed. The negative ion currents are considerably larger than positive ion currents obtained with an electron ionization source. This implies higher analytical precision (typically 0.005 permil) and sensitivity. Copyright © 2008 John Wiley & Sons, Ltd.     

Precise and accurate isotope ratio measurements by ICP-MS

The precise and accurate determination of isotope ratios by inductively coupled plasma mass spectrometry (ICP-MS) and laser ablation ICP-MS (LA-ICP-MS) is important for quite different application fields (e.g. for isotope ratio measurements of stable isotopes in nature, especially for the investigation of isotope variation in nature or age dating, for determining isotope ratios of radiogenic elements in the nuclear industry, quality assurance of fuel material, for reprocessing plants, nuclear material accounting and radioactive waste control, for tracer experiments using stable isotopes or long-lived radionuclides in biological or medical studies). Thermal ionization mass spectrometry (TIMS), which used to be the dominant analytical technique for precise isotope ratio measurements, is being increasingly replaced for isotope ratio measurements by ICP-MS due to its excellent sensitivity, precision and good accuracy. Instrumental progress in ICP-MS was achieved by the introduction of the collision cell interface in order to dissociate many disturbing argon-based molecular ions, thermalize the ions and neutralize the disturbing argon ions of plasma gas (Ar+). The application of the collision cell in ICP-QMS results in a higher ion transmission, improved sensitivity and better precision of isotope ratio measurements compared to quadrupole ICP-MS without the collision cell [e.g., for 235U/238U approximately 1 (10 microg x L(-1) uranium) 0.07% relative standard deviation (RSD) vs. 0.2% RSD in short-term measurements (n = 5)]. A significant instrumental improvement for ICP-MS is the multicollector device (MC-ICP-MS) in order to obtain a better precision of isotope ratio measurements (with a precision of up to 0.002%, RSD). CE- and HPLC-ICP-MS are used for the separation of isobaric interferences of long-lived radionuclides and stable isotopes by determination of spallation nuclide abundances in an irradiated tantalum target.     

Dynamics of ions of intact proteins in the Orbitrap mass analyzer

While allowing analysis of intact proteins without a theoretical upper mass limit, the Orbitrap mass analyzer demonstrates reduced resolving power as ion mass increases even at a constant mass-to-charge ratio. It is shown that this effect comes from the effects of ion scattering on background gas molecules. The main mechanisms causing decay of acquired transient appear to be fragmentation as well as accelerated dephasing of ion packets. Isotopic resolution of proteins including bovine serum albumin (MW 66.4 kDa) and transferrin (MW 78 kDa) has also been demonstrated. As a part of this study, detection of individual multiply-charged ions of myoglobin (MW 16.9 kDa) has been demonstrated. Quantized distribution of signal intensities for myoglobin ions well above the noise threshold was observed, with high mass accuracy and resolution of recorded individual ions used as an independent confirmation of correct assignment of signal to ions rather than to noise. The latter also allowed us to benchmark the sensitivity of image-current detection and explore in detail factors responsible for signal decay.     

Microanalysis of minerals by laser ablation ICPMS and SIRMS

Due to permanent re-equilibration processes that minerals undergo during dynamic processes within the earth, minerals build up concentration profiles – mainly from rim to core – which are ideal indicators of the geological processes the rocks have suffered. To understand these fingerprints of geological processes micro-analytical facilities are required that allow measurement of the isotopic and chemical composition of spot sizes from about 1 μm to 1 mm at concentration levels in the ng/g-range. Laser ablation techniques combined with inductively coupled plasma mass spectrometry (LA-ICPMS) and stable isotope ratio mass spectrometry (SIRMS) recently have achieved these demands. This contribution gives an example about their potential in establishing concentration gradients within minerals for geological questions.     

Heavy element stable isotope ratios : analytical approaches and applications

Continuous developments in inorganic mass spectrometry techniques, including a combination of an inductively coupled plasma ion source and a magnetic sector-based mass spectrometer equipped with a multiple-collector array, have revolutionized the precision of isotope ratio measurements, and applications of inorganic mass spectrometry for biochemistry, geochemistry, and marine chemistry are beginning to appear on the horizon. Series of pioneering studies have revealed that natural stable isotope fractionations of many elements heavier than S (e.g., Fe, Cu, Zn, Sr, Ce, Nd, Mo, Cd, W, Tl, and U) are common on Earth, and it had been widely recognized that most physicochemical reactions or biochemical processes induce mass-dependent isotope fractionation. The variations in isotope ratios of the heavy elements can provide new insights into past and present biochemical and geochemical processes. To achieve this, the analytical community is actively solving problems such as spectral interference, mass discrimination drift, chemical separation and purification, and reduction of the contamination of analytes. This article describes data calibration and standardization protocols to allow interlaboratory comparisons or to maintain traceability of data, and basic principles of isotope fractionation in nature, together with high-selectivity and high-yield chemical separation and purification techniques for stable isotope studies.

A study of the relation between the limit of detection and the limit of quantitation in inductively coupled plasma spectrochemistry

The limit of quantitation based on a repeatability threshold concept is compared with the limit of detection in induction coupled plasma atomic emission spectrometry (ICP-AES) and induction coupled plasma mass spectrometry (ICP-MS). A 5%-based limit of quantitation would normally correspond to 10 times the 3-σ based limit of detection. However, because of a possible lack of linearity of the calibration graph at low concentrations, some additional noise not taken into consideration and the possible use of time-correlated multichannel detection, this ratio of 10 cannot be used in every case. It is suggested that a suitable way of determining the limit of quantitation is to establish the plot of the percentage relative standard deviation (RSD) of the net signal as a function of the concentration in a range from the limit of detection to 50 times this limit.