The isotopic mass defect: a tool for limiting molecular formulas by accurate mass

This paper describes the use of the relative isotopic mass defect, which is the mass defect between the monoisotopic mass of an element and the mass of its A + 1 or its A + 2 isotopic cluster. The relative isotopic mass defect is combined with the intensity of the isotopic cluster and a formula generator to find the correct molecular formula for unknown pesticides, using accurate mass measurements. This paper introduces the concept of the relative mass defect of isotopes and the isotopic mass average (IMA), especially for C, H, N, O, S, Cl, and Br, and how to correlate these measurements to the correct molecular formula of an unknown compound. A heuristic rule of ±3 × 10⁻³ u (+3 millimass units) is developed as a simple observational tool for viewing accurate mass data with four-decimal-place mass accuracy. This heuristic rule allows one to rapidly scan data “by eye” without the use of sophisticated software, and is a useful and rapid way of examining a molecular formula.     

A general approach to calculating isotopic distributions for mass spectrometry

Fundamental principles for obtaining mass spectral isotopic distributions are applied to a general computer program that can be used to calculate and present in tabular and graphic form the isotopic contributions for any molecular formula. A unique feature is the retention of the isotopic distribution, exact mass, and absolute abundance for all individual peaks at each mass. Special considerations have been made for the large number of isotopic combinations that occur for many higher mass compounds. The computer program accepts the input of a molecular formula followed by interactive input of a number of parameters that affect the final presentation of the theoretical distribution profile.     

Alfred Nier and the sector field mass spectrometer

Science and technology are intimately related, and advances in science often become possible with the availability of new instrumentation. This has certainly been the case in mass spectrometry, which is used in so many scientific disciplines. Originally developed as an instrument for research in physics it was used in the discovery of isotopes, their recognition as the fundamental species comprising the elements, and the investigation of elemental isotopic composition. Isotope ratio mass spectrometry is a metrological technique of the highest order, and has been widely used in chemical, biochemical, cosmochemical, environmental, geological, physical, and nuclear research. Mass spectrometry presently plays a key role not only in scientific research, but also in industrial operations. This paper highlights the role that Alfred Otto Carl Nier played in bringing mass spectrometry into the mainstream of science. Nier's career spanned a remarkable period in science, and he made crucial contributions to atomic weights, geochronology, isotope geochemistry, nuclear physics, and space science. He is widely viewed as the 'father of modern mass spectrometry', because of his genius with instrumentation, his innovations, and the generosity with which he shared his ideas and designs. It is timely to remember his fundamental work in mass spectrometry, particularly the development of the sector field mass spectrometer, which is still the instrument of choice for many isotope scientists some 66 years after its first appearance in 1940.     

Fractional mass values of large molecules

From the standpoint of relative molecular mass (RMM) determination by mass spectrometry, the average relative molecular masses of organic molecules in the range over 2000 daltons are significantly influenced both by the fractional masses of the constituent elements and by natural variations in isotopic abundance. Differences between monoisotopic RMM and relative atomic mass (RAM) based RMM tend characteristically to differ between major classes of biomolecules primarily because of molar carbon content, the difference between polypeptides and nucleic acids being about 4 daltons at M_r = 25 000. Considering terrestrial sources alone, variations in the isotopic abundance of carbon lead to differences of about 10–25 ppm in average molecular mass, which is significant with respect to present mass measurement capability in the region up to several thousand daltons. Comments are made concerning the calculation of average RMM values horn isotopic probability profiles versus those from RAMs.     

Algorithms for automatic interpretation of high resolution mass spectra

Automated interpretation of high-resolution mass spectra in a reliable and efficient manner represents a highly challenging computational problem. This work aims at developing methods for reducing a high-resolution mass spectrum into its monoisotopic peak list, and automatically assigning observed masses to known fragment ion masses if the protein sequence is available. The methods are compiled into a suite of data reduction algorithms which is called MasSPIKE (Mass Spectrum Interpretation and Kernel Extraction). MasSPIKE includes modules for modeling noise across the spectrum, isotopic cluster identification, charge state determination, separation of overlapping isotopic distributions, picking isotopic peaks, aligning experimental and theoretical isotopic distributions for estimating a monoisotopic peak's location, generating the monoisotopic mass list, and assigning the observed monoisotopic masses to possible protein fragments. The method is tested against a complex top-down spectrum of bovine carbonic anhydrase. Results of each of the individual modules are compared with previously published work.     

Characterization of bis-carboxyethyl germanium sesquioxide and its complexes with amino acids using electrospray QqTOF mass spectrometry

This work deals with the application of electrospray ionization mass spectrometry (ESI-MS) with QqTOF analyzer for the characterization of Ge-132 complexes with different amino acids in aqueous solution with the emphasis on the determination of elemental composition. ESI mass spectra provide complementary structural information in both polarity modes. Some reaction products were suggested based on the interpretation of high resolution mass spectra. Moreover, the experimental isotopic distributions of ions were compared with theoretical calculated isotopic clusters. The superposition of many ion overlays was observed due to the wide isotopic distributions of studied polyisotopic complexes. The high resolution QqTOF analyzer enabled the discrimination of these ion signals differing at least by 0.12 mass units. The occurrence of overlaid signals from ions with smaller mass difference was successfully recognized based on the shift of isotopic distribution, and their elemental composition was verified using mass accuracies of non-overlaid isotopes at the borders of the isotopic cluster. Mass spectra obtained with ion trap and single quadrupole analyzers support QqTOF data.     

Calculation methods for direct internal mass fractionation correction of spiked isotopic ratios from multi-collector mass spectrometric measurements

It is difficult to do internal mass fractionation corrections for isotope dilution analysis by thermal ionization mass spectrometry (TIMS) or multi-collector inductively coupled plasma mass spectrometry (MC-ICP-MS), especially for MC-ICP-MS. In this study, calculation methods for direct internal fractionation correction of spiked isotope analysis by TIMS or MC-ICP-MS cycle by cycle for elements having at least two internal reference isotopic ratios are presented. For TIMS, direct internal mass fractionation correction calculation methods, based on both power and exponential laws, are derived; whereas for MC-ICP-MS, due to larger mass fractionation effects, only exponential law is considered. These calculation strategies can be applied for both static and multi-dynamic measurements. For multi-dynamic measurements, the isotope fractionation effect, gain and cup efficiency effects of different collectors, as well as ion beam fluctuation effects are all simultaneously eliminated. The calculation methods were verified by Sr isotopic analyses of spiked NBS987 standard solutions by TIMS and Hf isotopic analyses of spiked geological reference materials by MC-ICP-MS. In addition, precise and accurate calibrations of isotopic ratios of the spikes, based on the calculation methods, are discussed.     

Automated deconvolution and deisotoping of electrospray mass spectra

Electrospray ionization (ESI) of peptides and proteins produces a series of multiply charged ions with a mass/charge (m/z) ratio between 500 and 2000. The resulting mass spectra are crowded by these multiple charge values for each molecular mass and an isotopic cluster for each nominal m/z value. Here, we report a new algorithm simultaneously to deconvolute and deisotope ESI mass spectra from complex peptide samples based on their mass-dependent isotopic mean pattern. All signals corresponding to one peptide in the sample were reduced to one singly charged monoisotopic peak, thereby significantly reducing the number of signals, increasing the signal intensity and improving the signal-to-noise ratio. The mass list produced could be used directly for database searching. The developed algorithm also simplified interpretation of fragment ion spectra of multiply charged parent ions.     

Quantitative field desorption mass spectrometry

Summary The first application of field desorption mass spectrometry (FD-MS) to the determination of the label content and the statistical isotopic distribution in radiolabelled substances is reported. The total amount of tritium in steroids such as [6,7-³H]estradiol and [2,4,6,7-³H]estradiol was estimated. Data are easily derived from the field desorption mass spectra which allow the calculation of the distribution of the radioisotope in the investigated biochemicals with an accuracy below 1%.The two main advantages of the technique reported here are the small sample consumption in the nanogram range (which is particularly important for radiolabelled chemicals of high specific activity) and the highmolecular ion abundance of polar substances (the thermal and mass spectrometric fragmentation is almost completely missing) which give optimal information about the isotopic composition of the intact molecule. In addition, the short analysis time by FD-MS of approximately 30 min for the complete isotopic determination and the good precision of a few tenths of a percent underline the utility of this new method for the assay of radioisotopes in compounds of biochemical, medical and environmental interest.For part XVIII see reference [1]     

Efficient calculation of exact mass isotopic distributions

This paper presents a new method for efficiently calculating the exact masses in an isotopic distribution using a dynamic programming approach. The resulting program, isoDalton, can generate extremely high isotopic resolutions as demonstrated by a FWHM resolution of 2 x 10(11). This resolution allows very fine mass structures in isotopic distributions to be seen, even for large molecules. Since the number of exact masses grows exponentially with molecular size, only the most probable exact masses are kept, the number of which is user specified.     

Polydimethylsiloxane-based wide-range mass calibration for direct analysis in real-time mass spectrometry

Direct analysis in real-time mass spectrometry (DART-MS) is normally applied for small-molecule analysis up to about m/z 1,000. Here, for the analysis of polydimethylsiloxanes, high-mass capabilities expanding beyond m/z 3,000 are demonstrated. In addition, polydimethylsiloxanes provide an ideal mass calibration standard for positive-ion DART-MS. A mass reference list has been compiled to cover ions from m/z 200 up to m/z 2,600. Species with more than 20 silicon atoms exhibit increasingly broader isotopic patterns with decreasing abundances of the monoisotopic ions. The use of the first isotopic peaks for analyte ions above m/z 2,000 serves as a work-around and ensures easy and reproducible recognition of the reference peaks by the instrument data system. Here, the positive-ion DART mass spectra of polydimethylsiloxanes and the corresponding experimental procedures are described, and the mass reference list is provided.     

Isotopic pattern and accurate mass determination in urine drug screening by liquid chromatography/time-of-flight mass spectrometry

An efficient method was developed for toxicological drug screening in urine by liquid chromatography coupled with electrospray ionization time-of-flight mass spectrometry. The method relies on a large target database of exact monoisotopic masses representing the elemental formulae of reference drugs and their metabolites. Mass spectral identification is based on matching measured accurate mass and isotopic pattern (SigmaFit) of a sample component with those in the database. Data post-processing software was developed for automated reporting of findings in an easily interpretable form. The mean and median of SigmaFit for true-positive findings were 0.0066 and 0.0051, respectively. The mean and median of mass error absolute values for true-positive findings were 2.51 and 2.17 ppm, respectively, corresponding to 0.65 and 0.60 mTh. For routine screening practice, a SigmaFit tolerance of 0.03 and a mass tolerance of 10 ppm were chosen. Ion abundance differences from urine extracts did not affect the accuracy of the automatically acquired SigmaFit or mass values. The results show that isotopic pattern matching by SigmaFit is a powerful means of identification in addition to accurate mass measurement.     

Effect of post-excitation radius on ion abundance, mass measurement accuracy, and isotopic distributions in Fourier transform ion cyclotron resonance mass spectrometry

We report an evaluation of a modern Fourier transform ion cyclotron resonance mass spectrometry (FT-ICR-MS) instrument to determine the general trend of post-excitation radius on total ion abundance, mass measurement accuracy, and isotopic distributions for internally calibrated mass spectra. The optimum post-excitation radius was determined using total ion abundance, mass measurement accuracy (MMA), and isotope ratios. However, despite the utility of internal calibration for achieving ultimate MMA, the internal calibrant ions were insufficient for compensating for sub-optimum ICR cell conditions. The findings presented herein underscore the importance of determining the optimal post-excitation radius in FT-ICR-MS to achieve high ion abundance (low limits of detection), high MMA, and valid isotopic distributions.     

Charge reduction lowers mass resolving power for isotopically resolved electrospray ionization Fourier transform ion cyclotron resonance mass spectra

Electrospray ionization of synthetic or biological macromolecules above ∼1–2 kDa in mass typically produces ions of multiple charge states. Several recent papers have illustrated charge reduction as a means to simplify low-resolution electrospray ionization mass spectra, at the cost of significant loss in signal-to-noise ratio. However, if mass resolving power is sufficiently high (as in Fourier transform ion cyclotron resonance mass spectrometry) to resolve the heavy-atom isotopic distribution, then charge reduction actually lowers mass resolving power by a factor proportional to the ion charge. For proteins or nucleic acids of 10–50 kDa in mass, reducing the charge state to unity thus lowers mass resolving power by a factor of 10–50. In other words, as long as it is possible to resolve the isotopic distributions, charge reduction has no advantages for electrospray ionization mass spectrometry and has the very serious disadvantage of greatly degraded mass resolving power. Copyright © 2001 John Wiley & Sons, Ltd.     

Collisional activation mass spectra of ions containing polyisotopic elements

If a mass selected ion containing multiple isotopes of an element fragments by loss of a neutral containing the element, the product ions will be observed as multiple peaks. This ‘isotopic cluster’ of peaks, although of a different appearance than those found in normal mass spectra, also indicates the isotopic composition of the precursor ion.     

多接收器电感耦合等离子体质谱方法的开发和应用进展

稳定同位素分析是分析化学一项颇具前景的分支,通过精确测定物质的稳定同位素比值,可以追溯物质来源并探究其转化过程。高精度稳定同位素分析技术的进步依赖于新一代质谱仪的不断发展。其中,多接收器电感耦合等离子体质谱(MC-ICP-MS)是近年发展迅速的一种同位素组成测定工具。稳定同位素分析对样品基质十分敏感,复杂基质能严重干扰同位素测定的精密度和准确度。这对MC-ICP-MS的样品净化提出了极高要求,目前也是同位素分析领域的热点问题。该文聚焦于近年来MC-ICP-MS在样品净化及仪器联用方法方面的相关研究进展,并展望了MC-ICP-MS稳定同位素分析的应用前景。     

High-precision isotopic analysis of palmitoylcarnitine by liquid chromatography/electrospray ionization ion-trap tandem mass spectrometry

Single quadrupole gas chromatography/mass spectrometry (GC/MS) has been widely used for isotopic analysis in metabolic investigations using stable isotopes as tracers. However, its inherent shortcomings prohibit it from broader use, including low isotopic precision and the need for chemical derivatization of the analyte. In order to improve isotopic detection power, liquid chromatography/electrospray ionization ion-trap tandem mass spectrometry (LC/ESI-itMS2) has been evaluated for its isotopic precision and chemical sensitivity for the analysis of [13C]palmitoylcarnitine. Over the enrichment range of 0.4-10 MPE (molar % excess), the isotopic response of LC/ESI-itMS2 to [13C]palmitoylcarnitine was linear (r = 1.00) and the average isotopic precision (standard deviation, SD) was 0.11 MPE with an average coefficient of variation (CV) of 5.6%. At the lower end of isotopic enrichments (0.4-0.9 MPE), the isotopic precision was 0.05 MPE (CV = 8%). Routine analysis of rat skeletal muscle [13C4]palmitoylcarnitine demonstrated an isotopic precision of 0.03 MPE for gastrocnemius (n = 16) and of 0.02 MPE for tibialis anterior (n = 16). The high precision enabled the detection of a small (0.08 MPE) but significant (P = 0.01) difference in [13C4]palmitoylcarnitine enrichments between the two muscles, 0.51 MPE (CV = 5.8%) and 0.43 MPE (CV = 4.6%), respectively. Therefore, the system demonstrated an isotopic lower detection limit (LDL) of < or =0.1 MPE (2 x SD) that has been impossible previously with other organic mass spectrometry instruments. LC/ESI-itMS2 systems have the potential to advance metabolic investigations using stable isotopes to a new level by significantly increasing the isotopic solving power.     

Comparison of thermal ionization mass spectrometry and Multiple Collector Inductively Coupled Plasma Mass Spectrometry for cesium isotope ratio measurements

In the nuclear domain, precise and accurate isotopic composition determination of elements in spent nuclear fuels is mandatory to validate neutron calculation codes and for nuclear waste disposal. The present study presents the results obtained on Cs isotope ratio by mass spectrometric measurements. Natural cesium is monoisotopic (¹³³Cs) whereas cesium in spent fuels has 4 isotopes (¹³³Cs, ¹³⁴Cs, ¹³⁵Cs, and ¹³⁷Cs). As no standard reference material is available to evaluate the accuracy of Cs isotopic measurements, a comparison of cesium isotopic composition in spent nuclear fuels has been performed between Thermal Ionization Mass Spectrometry (TIMS) and a new method involving Multiple Collector Inductively Coupled Plasma Mass Spectrometry (MC-ICPMS) measurements. For TIMS measurements, isotopic fractionation has been evaluated by studying the behavior of cesium isotope ratios (¹³³Cs/¹³⁷Cs and ¹³⁵Cs/¹³⁷Cs) during the analyses. For MC-ICPMS measurements, the mass bias effects have been corrected with an external mass bias correction using elements (Eu and Sb) close to cesium masses. The results obtained by the two techniques show good agreement: relative difference on ¹³³Cs/¹³⁷Cs and ¹³⁵Cs/¹³⁷Cs ratios for two nuclear samples, analyzed after chemical separation, ranges from 0.2% to 0.5% depending on the choice of reference value for mass bias correction by MC-ICPMS. Finally the quantification of the ¹³⁵Cs/²³⁸U ratio by the isotope dilution technique is presented in the case of a MOx (mixed oxide) spent fuel sample. Evaluation of the global uncertainties shows that this ratio could be defined at an uncertainty of 0.5% (k = 2). The intercomparison between two independent mass spectrometric techniques is fundamental for the evaluation of uncertainty when no isotopic standard is available.     

Resonance ionization mass spectrometry for precise measurements of isotope ratios

Resonance ionization mass spectrometry offers extremely high sensitivity and elemental selectivity in microanalysis, but the isotopic precision attainable by this technique has been limited. Measured isotope ratios are sensitive to small fluctuations in the pointing, pulse timing, and wavelength of the resonance lasers. We show that, by minimizing these fluctuations using feedback controls and by power-broadening the optical transitions, we are able to measure chromium isotope ratios with statistics-limited precision better than 1%. Small additional improvements in reproducibility come from careful shaping of the electric field in the region where atoms are photoionized and from minimizing pulse-to-pulse variations in the time-of-flight mass spectrometer through which the photoions travel. The increased reproducibility of isotopic measurements on standard materials has enabled us to detect anomalous chromium isotopic abundances in presolar SiC grains extracted from primitive meteorites.     

Isotopic analysis of single uranium and plutonium particles by chemical treatment and mass spectrometry

The isotopic composition of single uranium and plutonium particles was measured with an inductively coupled plasma mass spectrometer (ICP-MS) and a thermal ionization mass spectrometer (TIMS). Particles deposited on a carbon planchet were first analyzed with an energy dispersive X-ray spectrometer (EDX) attached to a scanning electron microscope (SEM) and then transferred on to a silicon wafer using a manipulator. The particle on the silicon wafer was dissolved with nitric acid and the isotopic ratios of U and Pu were measured with ICP-MS and TIMS. The results obtained by both methods for particles of certified reference materials showed good agreement with the certified values within the expected uncertainty. The measurement uncertainties obtained in this study were similar for both mass spectrometric methods. This study was performed to establish the method of particle analysis with SEM, EDX, the particle manipulation and chemical preparation technique, and the measurement of isotopic ratios of U and Pu in a single particle by mass spectrometry.