Systematic and statistical errors in quantitative evaluation in TLC and HPTLC. 1. Evaluation by graphic methods

The paper discusses errors and error propagation in respect of graphic methods in quantitative in situ measurements in TLC. An error of 0.3% is possible by measuring only peak height if optimal conditions are chosen. This is in good agreement with analysis done practically which gives errors in the order of 0.3–0.6%. If the peak area is evaluated using the approximation peak height × half width, the error is in the order of 0.6%, but in real experiments only 1.5% had been found. Systematic errors in determining peak heights are introduced by the time constant of the amplifiers and the recorder.     

A dual electrospray ionization source combined with hexapole accumulation to achieve high mass accuracy of biopolymers in Fourier transform ion cyclotron resonance mass spectrometry

A dual electrospray ionization (ESI) source employed with hexapole accumulation and gated trapping provides a novel method of using an internal standard to achieve high mass accuracies in Fourier transform ion cyclotron resonance mass spectrometry. Two ESI emitters are sequentially positioned in front of the heated metal capillary inlet by a solenoid fitted to an XYZ micromanipulator; one emitter contains the analyte(s) of interest and the other an internal standard. A 5 V transistor-transistor logic pulse from the data station controls the solenoid by means of a solid-state relay so that matching of spectral peak intensities (i.e., analyte and internal standard intensities) can be accomplished by adjusting the hexapole accumulation time for each species. Polythymidine, d(pT)18, was used as the internal standard for all studies reported here. The absolute average error for an internally calibrated 15-mer oligonucleotide (theoretical monoisotopic mass = 4548.769 Da) was -1.1 ppm (external calibration: 41 ppm) with a standard deviation of +/-3.0 ppm (external calibration: +/-24 ppm) for a total of 25 spectra obtained at various hexapole accumulation time ratios. Linear least squares regression analysis was carried out and revealed a linear dependence of the magnitudes of the peak height ratios (analyte/internal standard) vs. hexapole accumulation time ratios (analyte/internal standard) which is described by the following equation: y = 0.45 x - 0.02. The fitted line had a %RSD of the slope of 28% with an R2 of 0.93. The applicability of this methodology was extended to a polymerase chain reaction product with a theoretical average molecular mass of 50,849.20 Da. With the internal standard, d(pT)18, an absolute average error of -8.9 ppm (external calibration: 44 ppm) based on five measurements was achieved with a standard deviation of 11 ppm (external calibration: +/-36 ppm), thus illustrating this method's use for characterizing large biomolecules such as those encountered in genomics and proteomics related research.     

A processing method enabling the use of peak height for accurate and precise proton NMR quantitation

In NMR, peak area quantitation is the most common method used because the area under a peak or peak group is proportional to the number of nuclei at those frequencies. Peak height quantitation has not enjoyed as much utility because of poor precision and linearity as a result of inconsistent shapes and peak widths (measured at half height). By using a post‐acquisition processing method employing a Gaussian or line‐broadening (exponential decay) apodization (i.e. weighting function) to normalize the shape and width of the internal standard (ISTD) peak, the heights of an analyte calibration spectrum can be compared to the analyte peaks in a sample spectrum resulting in accurate and precise quantitative results. Peak height results compared favorably with ‘clean’ peak area results for several hundred illicit samples of methamphetamine HCl, cocaine HCl, and heroin HCl, of varying composition and purity. Using peak height and peak area results together can enhance the confidence in the reported purity value; a major advantage in high throughput, automated quantitative analyses. Published in 2009 by John Wiley & Sons, Ltd.     

Quantitative analysis of morphine in dried blood spots by using morphine-d3 pre-impregnated dried blood spot cards

Two different internal standard dried blood spot (DBS) pre-impregnation procedures (prior to blood spotting) were investigated. In the first procedure DBS pre-impregnation is performed by immersing the DBS card fully into an internal standard solution. In the second procedure pre-impregnation is performed by pipetting a certain volume of an internal standard solution onto the DBS card. Morphine-d3 was used as the model compound for all experiments. The pre-impregnation procedure by immersing was further investigated with respect to homogeneity of impregnation, influence of different blood spotting techniques and the influence of spotting different blood volumes on the internal standard distribution, calibration and stability of pre-impregnated cards. Finally, the immersing procedure was used for the analysis of morphine in dried blood spots and the results were compared to the conventional procedure in which the internal standard morphine-d3 was added to the extraction solvent. The new pre-impregnated cards couple simplicity of operation and convenient use in the field to results equivalent to the conventional procedure.     

Stripping voltammetry with the electrode material acting as a ‘built-in' internal standard

The oxidation peak of the bismuth layer of bismuth-film electrodes is used as an internal standard in anodic stripping voltammetry. Such use of the electrode material as a ‘built-in' internal standard simplifies the analytical protocol (as it obviates the need for an external standard or long calibration and standard additions procedures) while correcting for run-to-run variations due to uncertainties (e.g., changes in mass transport, surface area, or other variables). The new internal standard strategy relies on common in situ plated film electrodes, where the deposition of both the analyte and electrode material is subject to the same variations. Such one-step quantitation and improvements are illustrated for trace measurements of lead. The use of the intrinsic signal of the system for obtaining the concentration of the target analyte is unique not only for electroanalysis, but for analytical chemistry in general.     

The new approach of standardization of capillary electrophoresis

In this paper, we develope the new standardization methods to eliminate the influence in capillary electrophoresis (CE). The markers were used to determine the basis position and then correct the data of sample by the migration time of standard sample, and make the migration time of samples consistent with the standard sample by the criterion of the marker. The problem of time transition was corrected in this way. Then according to the peak height or peak area of the marker in the sample (peak height was used here) compared with the standard sample, the sample data was zoomed appropriately. The absorbance error was made to be correct. The wavelet de-noise method was also used to make the data smooth and get a good baseline.     

The new approach of standardization of capillary electrophoresis

In this paper, we develope the new standardization methods to eliminate the influence in capillary electrophoresis (CE). The markers were used to determine the basis position and then correct the data of sample by the migration time of standard sample, and make the migration time of samples consistent with the standard sample by the criterion of the marker. The problem of time transition was corrected in this way. Then according to the peak height or peak area of the marker in the sample (peak height was used here) compared with the standard sample, the sample data was zoomed appropriately. The absorbance error was made to be correct. The wavelet de-noise method was also used to make the data smooth and get a good baseline.     

毛细管柱气相色谱法测定液化石油气中二甲醚含量

建立毛细管柱气相色谱法测定液化石油气中二甲醚含量的分析方法。采用静止进样法直接进样,用PLOT–Q毛细管色谱柱进行分离,以FID检测器进行检测,外标法进行定量分析。液化石油气中二甲醚的含量(体积分数)在0%~20.0%范围内与其色谱峰面积呈良好线性关系,线性相关系数r=0.999 9,方法检出限为0.05%(体积分数),测定结果的相对标准偏差小于5%(n=6),回收率在98.2%~102.9%之间。该方法与校正面积归一法测定结果相一致。该方法准确、快速、简便,适用于液化石油气中二甲醚含量的检测。     

Specific rotation measurements from peak height data, with a Gaussian peak model

A method is described whereby a sensitive laser-based polarimeter can be used to make very accurate and precise specific rotation measurements on microgram quantities of optically active materials. Flow-injection or liquid chromatography systems provide reproducible introduction of the sample into the polarimetric system. If a Gaussian distribution of the analyte concentration is assumed, the peak height can be used in the determination of specific rotation. This method provides a direct calibration with an absolute standard which yields more accurate and precise results than those obtainable by using peak area.     

Two-Step Derivatization of Amino Acids for Stable-Isotope Dilution GC–MS Analysis: Long-Term Stability of Methyl Ester-Pentafluoropropionic Derivatives in Toluene Extracts

Analysis of amino acids by gas chromatography-mass spectrometry (GC–MS) requires at least one derivatization step to enable solubility in GC–MS-compatible water-immiscible organic solvents such as toluene, to make them volatile to introduce into the gas chromatograph and thermally stable enough for separation in the GC column and introduction into the ion-source, and finally to increase their ionization by increasing their electronegativity using F-rich reagents. In this work we investigated the long-term stability of the methyl esters pentafluoropropionic (Me-PFP) derivatives of 21 urinary amino acids prepared by a two-step derivatization procedure and extraction by toluene. In situ prepared trideuteromethyl ester pentafluoropropionic derivatives were used as internal standards. GC–MS analysis (injection of 1 µL aliquots and quantification by selected-ion monitoring of specific mass fragments) was performed on days 1, 2, 8, and 15. Measured peak areas and calculated peak area ratios were used to evaluate the stability of the derivatives of endogenous amino acids and their internal standards, as well as the precision and the accuracy of the method. All analyses were performed under routine conditions. Me-PFP derivatives of endogenous amino acids and their stable-isotope labelled analogs were stable in toluene for 14 days. The peak area values of the derivatives of most amino acids and their internal standards were slightly higher on days 8 and 15 compared to days 1 and 2, yet the peak area ratio values of endogenous amino acids to their internal standards did not change. Our study indicates that Me-PFP derivatives of amino acids from human urine samples can easily be prepared, are stable at least for 14 days in the extraction solvent toluene, and allow for precise and accurate quantitative measurements by GC–MS using in situ prepared deuterium-labelled methyl ester as internal standard.     

Exact mass measurements using a 7 tesla fourier transform ion cyclotron resonance mass spectrometer in a good laboratory practices-regulated environment

Fourier transform ion cyclotron resonance mass spectrometry has been found to produce reliable exact mass measurements using two different internal calibration methods. For these measurements, electrospray ionization (ESI) and matrix-assisted laser desorption/ionization (MALDI) were utilized both individually and in tandem. For internal calibration with a co-dissolved polyethylene glycol standard, measurements of 41 compounds resulted in an average absolute mass determination error of 0.7 ppm, with a standard deviation of 0.9 ppm. For comparison, internal calibration was effected through the simultaneous use of ESI and MALDI, with the former being used for the introduction of analyte ions and the latter for formation of polymethylmethacrylate calibrant ions. This technique led to mass measurements with an average absolute error of 0.8 ppm and a standard deviation of 1.0 ppm. In addition, exact mass measurements of tandem mass spectrometry fragment ions were made for 35 compounds using external calibration with a single internal mass standard. The observed average absolute error was 0.7 ppm with a standard deviation of 1.0 ppm.     

A Rapid Qualitative and Quantitative Method of Assaying Histamine in Small Plasma Volume

Abstract

A modified method for a qualitative and quantitative determination of histamine in small plasma volume (≤300 μl) was developed. According to this method, blood samples containing methylhistamine, the internal standard, are centrifuged to collect plasma. These plasma samples which contain underivatized histamine are injected into a Dionex BioLC System coupled with a pulsed amperometric detector. Histamine and methylhistamine are separated through a C-18 Zorbax ODS 4.5mm ID ± 25cm (5 microns) column. Histamine is quantitated by comparing histamine peak height with that of known quantity of the internal standard. The sensitivity of the method is 0.03 pmols. The peak heights were found to be linearly related to histamine concentrations providing a quantitative means of assaying histamine in biological samples. The retention time of histamine was 6 min in contrast to that of methlyhistamine which was 10 min.     

Quantitative analysis of trace levels of surface contamination by X‐ray photoelectron spectroscopy. Part I: Statistical uncertainty near the detection limit

We discuss the problem of quantifying common sources of statistical uncertainties for analyses of trace levels of surface contamination by using X‐ray photoelectron spectroscopy. We examine the propagation of error for peak‐area measurements by using common forms of linear and polynomial background subtraction including the correlation of points used to determine both background and peak areas. This correlation has been neglected in previous analyses, but we show that it contributes significantly to the peak‐area uncertainty near the detection limit. We introduce the concept of relative background subtraction variance (RBSV) that quantifies the uncertainty introduced by the method of background determination relative to the uncertainty of the background area itself. The uncertainties of the peak area and atomic concentration and of the detection limit are expressed using the RBSV, which separates the contributions from the acquisition parameters, the background‐determination method, and the properties of the measured spectrum. These results are then combined to find acquisition strategies that minimize the total measurement time needed to achieve a desired detection limit or atomic‐percentage uncertainty for a particular trace element. Minimization of data‐acquisition time is important for samples that are sensitive to X‐ray dose and also for laboratories that need to optimize throughput.     

Automatic chemiluminescence-based determination of carbaryl in various types of matrices

Carbaryl, a modern pesticide widely used for both agricultural and non-agricultural purposes, was determined from the chemiluminescence produced in its reaction with Ce(IV) in a nitric acid medium containing rhodamine 6G as sensitizer, using flow-injection techniques. A straightforward automatic method based on measurements peak height and peak area, which are directly proportional to the carbaryl concentration, was thus developed. Calibration graphs are linear over the concentration range from 50 to 2000 ng mL⁻¹. The limit of detection, as determined according to Clayton, is 45.6 and 28.7 ng mL⁻¹ for peak height and peak area measurements, respectively. The relative standard deviation for 10 samples was less than 1.4% with both types of measurements. Two commercial formulations containing carbaryl were analysed using both types of measurements, which provided acceptable recovery values. Solid-phase extraction was used to concentrate and separate the analyte from the matrix. The method was successfully applied to the analysis of spiked water samples as well as in soil and grain samples. The proposed method exhibited a high selectivity no other pesticide containing the naphthalene group such as antu, napropamide or naftalam, etc., was found to interfere with the determination of carbaryl.     

Alternative calibration approaches to compensate the effect of co-extracted matrix components in liquid chromatography-electrospray ionisation tandem mass spectrometry analysis of pesticide residues in plant materials

The aim of this study was to evaluate the applicability of different calibration approaches in a multi- and single-residue analysis of modern pesticides in plant matrices using liquid chromatography-electrospray mass spectrometry (HPLC-ESI-MS). In the first set of experiments the determination of eight pesticides representing different groups of polar/unstable pesticides (carbamates, benzimidazoles, azoles, benzoylphenylurea) in apple samples was performed. The trueness and precision of data obtained by using: (i) external solvent standard calibration, (ii) external matrix-matched standard calibration and (iii) echo-peak internal standard calibration was compared. The last mentioned method is a novel technique providing the possibility to inject internal standard of the same identity as a target analyte, so that its retention time is close to the analyte from the sample. According to expectation, when using external standard solvent calibration the results were under- or overestimated due to suppression or enhancement of analyte's signal by matrix components. On the other hand with the use of matrix-matched calibration accurate data were obtained. With echo-peak technique accurate results comparable to those obtained by matrix calibration were obtained for six out of eight pesticides. In the second set of experiment we used the echo-peak technique to overcome the problem with the response instability in the analysis of chlormequat in pear concentrate samples. As an internal standard method the echo-peak technique provided the possibility of monitoring of signal decrease during the analytical sequence and to compensate this decrease by relating sample peak area relatively to this internal standard.     

A simple optimization strategy based on Rs-minimum and information theory of chromatography

Summary A simple optimization method based on the well-known Rs-minimum method and on the information theory of FUMI Φ is proposed. Resolution (Rs), peak area and height (or width) are the only parameters necessary for the calculation of the information Φ and information flow ϑ. The most precise analysis can be selected as the chromatogram having maximal ϑ. Mobile phase composition, column length, flow rate, detection wavelength, amount of internal standard, etc. can be optimized by this method.     

Quantitative estimates of precision for molecular isotopic measurements.

At least three methods of calculating the random errors or variance of molecular isotopic data are presently in use. The major components of variance are differentiated and quantified here into least three to four individual components. The measurement of error of the analyte relative to a working (whether an internal or an external) standard is quantified via the statistical pooled estimate of error. A statistical method for calculating the total variance associated with the difference of two individual isotopic compositions from two isotope laboratories is given, including the variances of the laboratory (secondary) and working standards, as well as those of the analytes. An abbreviated method for estimation of of error typical for chromatographic/isotope mass spectrometric methods is also presented.     

Prediction of precision from signal and noise measurement in liquid chromatography: Mathematical relationship between integration domain and precision

Summary The precision of integration over noisy instrumental output for quantitative analysis is studied. A probability theory is developed to predict the relative standard deviation (RSD) of integration results over an integration domain from one-point integration (peak height measurement) to entire area integration in HPLC. Common integration modes of horizontal zero line and oblique zero line are taken into account, but no peak overlap is assumed. The question of the analytical superiority of peak height measurement or integration for quantitation is answered. In the HPLC apparatus used, the minimum RSD of measurements is found in the integration domain of ca. ±0.5 σ for analytes [peaks are approximated by the Gaussian signal of width, σ (standard deviation)]. The RSD of integration measurements is also shown to depend on the stochastic properties of background noise (uncorrelated noise and correlated 1/f type noise). The theoretical conclusion is verified by Monte Carlo simulation and HPLC experiments for some aromatic compounds. Second Part of series cited as Ref. [1].     

高效液相色谱法测定酒花α-酸含量

介绍反相液相色谱测定酒花和酒花浸膏中的α-酸含量的方法,反相色谱分离α-酸,外标法定量。方法具有样品处理简单、快速、定量准确和重复的特点。酒花和酒花浸膏的α-酸测定相对偏差分别为2.02％和1.78％。     

Assessment of the capabilities of capillary zone electrophoresis for the determination of hippuric and orotic acid in whey.

A rapid method was developed for the simultaneous determination of hippuric and orotic acid in rennet whey by capillary zone electrophoresis using an uncoated capillary utilizing a 0.04 M amino-2-methyl-1,3-propanediol (AMPD)-N,N-bis(2-hydroxyethyl) glycine (BICINE) buffer (pH 8.8) with UV detection at 254 and 280 nm. Whey proteins were removed by ultrafiltration. The method was evaluated for external, internal and standard addition procedures for both peak areas and peak heights. The use of an internal standard (sorbic acid) eliminated injection errors and gave, when applied to peak areas, the same levels for hippuric and orotic acid in those obtained with high-performance liquid chromatography. Relative standard deviations were 1-2%. Peak heights gave erratic results owing to sample matrix effects on peak widths.