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.     

Development and validation of a thin-layer chromatography-densitometric method for the quantitation of alliin from garlic (Allium sativum) and its formulations

A selective, precise, and accurate high-performance thin-layer chromatographic (HPTLC) method has been proposed for the analysis of garlic and its formulations for their alliin content. The method involves densitometric evaluation of alliin after resolving it by HPTLC on silica gel plates with n-butanol-acetic acid-water (6 + 2 + 2, v/v) as the mobile phase. For densitometric evaluation, peak areas were recorded at 540 nm after derivatizing the resolved bands with ninhydrin reagent. The relation between the concentration of alliin and corresponding peak areas was found to be linear within the range of 250 to 1500 ng/spot. The method was validated for precision (interday and intraday), repeatability, and accuracy. Mean recovery was 98.36%. The method was applied for the quantitation of alliin in bulbs of Allium sativum Linn. (garlic) and its formulations. The proposed TLC method was found to be precise, specific, sensitive, and accurate and can be used for routine quality control of garlic and its formulations.     

基于无基底扣除的数据趋势累积谱峰检测算法

谱峰的检测分析在色谱技术研究中具有十分重要的作用,但在色谱数据采集、传输的过程中,不同程度的噪声干扰给谱峰检测带来了极大的困难.目前传统的谱峰检测算法普遍通过基底扣除的方式对谱峰的形态进行预定义,将谱峰分为单峰、重叠峰等多个种类.针对不同种类的谱峰采用不同的检测方法,这就导致了传统的谱峰检测算法具有高复杂度、低自动化程...     

Development and validation of a visible absorption densitometry method for quantitation of conessine in Holarrhena antidysenterica (Kurchi)

A selective, precise, and accurate high-performance thin-layer chromatographic (HPTLC) method has been proposed for the analysis of conessine in Holarrhena antidysenterica. The method involves visible densitometric evaluation of conessine resolving it by HPTLC on aluminium-based silica gel plates. For visible densitometric evaluation, peak areas were recorded at 520 nm after the resolved bands were derivatized with Dragendorff's reagent and then sprayed with a 10% solution of aqueous sodium nitrite which resulted in reddish brown color. The correlation between the concentration and area was found to be linear within the range of 10 to 60 ng/spot. The method was validated for precision (interday and intraday), repeatability, and accuracy. Mean recovery for conessine was 98.34-100.25%. The method was applied for the quantitation of conessine in Kurchi. The proposed HPTLC method was found to be precise, specific, sensitive, and accurate and can be used for routine analysis of Kurchi.     

Estimation of L-dopa from Mucuna pruriens LINN and formulations containing M. pruriens by HPTLC method

A selective, precise, and accurate high-performance thin-layer chromatographic (HPTLC) method has been developed for the analysis of L-dopa in Mucuna pruriens seed extract and its formulations. The method involves densitometric evaluation of L-dopa after resolving it by HPTLC on silica gel plates with n-butanol-acetic acid-water (4.0+1.0+1.0, v/v) as the mobile phase. Densitometric analysis of L-dopa was carried out in the absorbance mode at 280 nm. The relationship between the concentration of L-dopa and corresponding peak areas was found to be linear in the range of 100 to 1200 ng/spot. The method was validated for precision (inter and intraday), repeatability, and accuracy. Mean recovery was 100.30%. The relative standard deviation (RSD) values of the precision were found to be in the range 0.64-1.52%. In conclusion, the proposed TLC method was found to be precise, specific and accurate and can be used for identification and quantitative determination of L-dopa in herbal extract and its formulations.     

Temperature dependence of the optical rotation in six bicyclic organic molecules calculated by vibrational averaging.

The vibrational corrections and the temperature dependence of the specific rotation of six rigid organic molecules (alpha-pinene, beta-pinene, cis-pinane, camphene, camphor, and fenchone) were calculated at three wavelengths using hybrid time-dependent density functional theory (TDDFT). A technique for calculating the temperature dependence of the vibrational average of a molecular property has been applied to obtain the specific rotation of the molecules as a function of temperature. For cases in which accurate equilibrium optical rotations can be obtained as a "base value," and for which there is little effect from solvation, accurate predictions of the trends in the temperature-dependence of the specific rotations can be calculated. For other cases, the method can be used to extract purely vibrational contributions to the overall temperature dependence of optical rotation.     

High‐resolution peak analysis in TOF SIMS data

High mass resolution time‐of‐flight secondary ion mass spectrometry (TOF SIMS) can provide a wealth of chemical information about a sample, but the analysis of such data is complicated by detector dead‐time effects that lead to systematic shifts in peak shapes, positions, and intensities. We introduce a new maximum‐likelihood analysis that incorporates the detector behavior in the likelihood function, such that a parametric spectrum model can be fit directly to as‐measured data. In numerical testing, this approach is shown to be the most precise and lowest‐bias option when compared with both weighted and unweighted least‐squares fitting of data corrected for dead‐time effects. Unweighted least‐squares analysis is the next best, while weighted least‐squares suffers from significant bias when the number of pulses used is small. We also provide best‐case estimates of the achievable precision in fitting TOF SIMS peak positions and intensities and investigate the biases introduced by ignoring background intensity and by fitting to just the intense part of a peak. We apply the maximum‐likelihood method to fit two experimental data sets: a positive‐ion spectrum from a multilayer MoS₂ sample and a positive‐ion spectrum from a TiZrNi bulk metallic glass sample. The precision of extracted isotope masses and relative abundances obtained is close to the best‐case predictions from the numerical simulations despite the use of inexact peak shape functions and other approximations. Implications for instrument calibration, incorporation of prior information about the sample, and extension of this approach to the analysis of imaging data are also discussed.     

Optimal peak area determination in the presence of noise

A method is presented for determining optimal peak integration intervals on the basis of known peak shapes and noise characteristics. General theoretical considerations lead to conditions yielding optimal integration intervals. Examples of frequently occurring peak shapes and noise types are given, such as gaussian or skewed peak shapes, with band-limited first-order noise or flicker noise superimposed. The optimal integration intervals are approximately independent of the signal-to-noise ratio, and they are considerably smaller than the integration intervals normally used. The resulting expected peak area estimation errors are compared with the estimation error resulting from peak maximum amplitude measurement. On the basis of this comparison, rules of thumb are proposed to determine whether piak maximum measurement or peak integration yields the best results. Simulation of different peak shapes with noise superimposed confirms the results obtained. A flexible method is presented for the optimal measurement of the area of peaks with an unknown shape. This on-line method is simple, and could be used as a simple peak-finding procedure. The method requires almost no computer memory, and can be implemented on a microcomputer. A simulated example of this procedure is given.     

High-performance liquid chromatography of timolol and potential degradates on dynamically modified silica

A novel method for the determination of timolol in pharmaceutical products has been developed and is described. The method employs high-performance liquid chromatography (HPLC) on silica dynamically modified with the cetyltrimethylamomonium cation to quantitate the analyte. The use of this type of reversed-phase HPLC system for timolol determinations results in improved quality of chromatography, especially in terms of peak tailing and peak efficiency, in comparison to chromatography on bonded-phase silica. Column-to-column as well as manufacturer-to-manufacturer reproducibility for this separation on silica columns has been obtained and is better in our hands than that encountered with bonded-phase column packings. The method has been shown to be linear for the compounds studied, comparably accurate and precise to bonded-phase methods and specific for timolol in a variety of pharmaceutical formulations. Under the conditions specified, timolol can be successfully separated from its three potential degradates. Possible explanations of the primary retention mechanisms for the analytes are offered.     

Combinational numeral fingerprint spectra of Glycyrrhiza and analysis of common peak ratio invariableness in HPLC

To overcome the instability of traditional Chinese medicine (TCM) fingerprint spectra (FPS) and to build up absolute identification standard of TCM, the construction method of combinational numeral fingerprint spectra (CNFPS) was set up. The analysis of invariableness based on CNFPS was carried out. It can be used as absolute quantitative standard to identify the difference of TCM samples. According to this method, the HPLC FPS of components extracted from Glycyrrhiza root samples by ethanol was analyzed. Stable results and accurate quality evaluation were obtained perfectly. The common peak ratio invariableness is an absolute standard in identifying TCM samples, which is better than the similarity method of the FPS.     

The utility of statistical moments in chromatography using trapezoidal and Simpson's rules of peak integration

Modern chromatographic data acquisition softwares often behave as black boxes where the researchers have little control over the raw data processing. One of the significant interests of separation scientists is to extract physico‐chemical information from chromatographic experiments and peak parameters. In addition, column developers need the total peak shape analysis to characterize the flow profile in chromatographic beds. Statistical moments offer a robust approach for providing detailed information for peaks in terms of area, its center of gravity, variance, resolution, and its skew without assuming any peak model or shape. Despite their utility and theoretical significance, statistical moments are rarely incorporated as they often provide underestimated or overestimated results because of inappropriate choice of the integration method and selection of integration limits. The Gaussian model is universally used in most chromatography softwares to assess efficiency, resolution, and peak position. Herein we present a user‐friendly, and accessible approach for calculating the zeroth, first, second, and third moments through more accurate numerical integration techniques (Trapezoidal and Simpson's rule) which provide an accurate estimate of peak parameters as compared to rectangular integration. An Excel template is also provided which can calculate the four moments in three steps with or without baseline correction.     

Fast and accurate determination of the Wigner rotation matrices in the fast multipole method

In the rotation based fast multipole method the accurate determination of the Wigner rotation matrices is essential. The combination of two recurrence relations and the control of the error accumulations allow a very precise determination of the Wigner rotation matrices. The recurrence formulas are simple, efficient, and numerically stable. The advantages over other recursions are documented.     

Quality assurance in the determination of overlapping peak areas

The ability of different computer programs to yield accurate peak areas in statistical control in the case of partially overlapping photopeaks has been tested by the Analysis of Precision. A modified Covell method, two commercially available peak-fitting programs from Nuclear Data and Ortec, and the SAMPO80 program were used to evaluate the 843.8 keV peak area in the 843.8/846.6 keV doublet of²⁷Mg and⁵⁶Mn produced by thermal neutron activation of a candidate biological reference material to be certified for magnesium. The best performance was given by the Ortec program, but a modified SAMPO80 performed almost as well. The modified Covell program gave reliable results, but with poorer precision.     

Ciclosporin: HPLC routine method with column switching

Conclusion It seems to be a major advantage of the described method that standard HPLC equipment with column switching can be used. The procedure proved to be precise, accurate and specific. According to our experience with CyA determinations in more than 1,000 blood samples, this method is well suited for routine monitoring despite the necessity of sample preparation.

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Ciclosporin: Eine HPLC-Routinemethode mit Säulenschaltung

     

Voltammetric study of ketorolac and its differential pulse polarographic determination in pharmaceuticals

A differential pulse polarographic method for the quantitative determination of ketorolac is described. Ketorolac is an antiinflamatory-analgesic agent that is directly electroreducible at the mercury electrode. The polarographic reduction is due to the reduction of the benzoyl moiety in the ketorolac molecule. For analytical purposes, a very well resolved diffusion controlled differential pulse polarographic peak obtained at pH 9 was selected. This peak was used to develop a new method for the determination of ketorolac in pharmaceutical dosage forms. Recovery study shows that the method is sufficiently accurate and precise to be applied in the individual tablet assay of commercial samples.     

A software package for the evaluation of peak parameters in an analytical signal based on a non-linear regression method

Computer-based data handling of analytical signals to extract commonly used analytical parameters often produces poor results if the signals are affected by noise and a drifting baseline. Only a minor part of the information present in the signal is used for correction. A computer package is presented, in which the total information of the signal is used to give accurate evaluation of analytical parameters. The program uses a non-linear regression method to deconvolute analytical signals into a number of peaks and a baseline. To describe the peak shape any mathematical model can be used. In the computer package, a Gaussian curve-related model is used, with variable asymmetry. The baseline is described with a polynomial of variable order. The method is simultaneously a filter procedure Deconvolution of poorly separated peaks is possible. The software is developed on a minicomputer; however, test results of this study indicate the feasibility of implementation on a microcomputer without extremely time-consuming runs of the program.     

Three‐peak Autler‐Townes splitting in the photoelectron spectrum of Li2 molecules caused by femtosecond laser pulses

Three‐peak Autler‐Townes (A‐T) splitting in the resonant multiphoton ionization photoelectron spectrum for a rotating Li₂ molecular system in femtosecond pulse laser fields is studied by using two‐dimension time‐dependent quantum wave packet method. The A‐T splitting results from rapid Rabi oscillation caused by intense femtosecond laser pulses. Because of the effects of molecular rotation and alignment, the Rabi oscillation in the population distribution will be damped in a certain degree. The three‐peak A‐T splitting can only be observed for a strongly aligned molecule with rapid Rabi oscillation. The three‐peak A‐T splitting dynamics can be affected by intensity, duration, temporal profile of laser pulse, and initial molecular rotational temperature. The conditions to observe the A‐T splitting are discussed in detail. © 2009 Wiley Periodicals, Inc. Int J Quantum Chem, 2010     

Measuring screw-sense preference in a helical oligomer by comparison of 13C NMR signal separation at slow and fast exchange

While an unequal population of rapidly interconverting left- and right-handed conformers of a helical oligomer can be detected by circular dichroism, precise quantification of a conformer ratio has not previously been achieved. We demonstrate, using a set of labeled peptide analogues, that simple analysis of peak separation in their (13)C NMR spectra at slow and fast exchange allows an accurate value for the ratio of helical conformers to be obtained. The method reports the ratio of conformers at the site of the label and can therefore be used to investigate local variations in helical conformational control.     

Analysis of peak asymmetry in chromatography

The knowledge of the symmetry of chromatographic peaks is extremely important regarding the digital signal processing. The significant deviation of the peak shape from the symmetrical peak makes hardly possible the acquisition of chromatographic signal information, such as the retention time, the peak area, the peak width at half peak height, the peak overlapping, etc. In the literature one can find many methods for the determination of the asymmetry factor. For example it is suitable to calculate the skewness from the third central moment. However in case of noisy baseline the value of the skewness oscillates highly depending on the number of points used for the mathematical calculation. In this work a new method is presented for the determination peak shape asymmetry. We order mathematical function to the chromatographic peaks by fitting, and then symmetrical curve is generated with the same peak maximum position and height, the peak width is fitted. The difference of the two functions is constituted and areas of the data differences are calculated, which are really characteristics of the peak asymmetry. Correlation between the area of the difference signal and the asymmetry factor is established. The method was applied for different types of chromatographic peak shapes and the results were interpreted.     

On the use of the Edgeworth-Cramér series to obtain diffusion coefficients from taylor dispersion peaks

Three methods of determining the parameters required for the calculation of diffusion coefficients in Taylor dispersion experiments from quasi-Gaussian output signals have been examined, the height-area method, moment calculation by direct integration, and moment calculation from a nonlinear least squares fit to a truncated Edgeworth-Cramér series.The method using moments determined by integration has been found to be unsatisfactory, as it yields diffusion coefficients very heavily dependent on the choice made for the width of the peak base. Those derived from the height-area method can deviate systematically and significantly from those determined from the variance obtained from the least squares series fit where, as is usual, the peak varies from a true Gaussian. The series fit method, within our reproducibility of 1–2%, yields values consistent with accurate and precise literature data, and is recommended for precise work.