Calibration Standard addition method

The trade-offs between direct calibration and standard addition are treated in Ref 103. The same recovery as is found for the native analyte has to be obtained for the spiked analyte (see Section 3.2). The application of spiking to potentiometry is reviewed in Refs. 104 and 105. A worked example for the application of standard addition methodology to FIA/AAS is found in Ref 106. Reference 70 discusses the optimization of the standard addition method. 

R. Sundberg, Interplay between chemistry and statistics, with special reference to calibration and the generalized standard addition method. Chemom. Intell. Lab. Syst., 4 (1988) 299-305. 

Most measurements include the determination of ions in aqueous solution, but electrodes that employ selective membranes also allow the determination of molecules. The sensitivity is high for certain ions. When specificity causes a problem, more precise complexometric or titri-metric measurements must replace direct potentiometry. According to the Nernst equation, the measured potential difference is a measure of the activity (rather than concentration) of certain ions. Since the concentration is related to the activity through an appropriate activity coefficient, calibration of the electrode with known solution(s) should be carried out under conditions of reasonable agreement of ionic strengths. For quantitation, the standard addition method is used. 

In addition to statistical peculiarities, special features may also result from certain properties of samples and standards which make it necessary to apply special calibration techniques. In cases when matrix effects appear and matrix-matched calibration standards are not available, the standard addition method (SAM, see Sect. 6.2.6) can be used. 

Yamamoto et al. [6] studied preservation of arsenic- and antimony-bearing samples of seawater. One-half of the sample (201) was acidified to pH 1 with hydrochloric acid immediately after sampling, and the remaining half was kept without acidification. In order to clarify the effect of acidification on storage, measurements were made over a period of a month after sampling. Results are given in Table 1.1. In this study, a standard addition method and calibration curve method were used for comparison and it was proven that the two gave the same results for the analyses of seawater. 

Bond et al. [791 ] studied strategies for trace metal determination in seawater by ASV using a computerised multi-time domain measurement method. A microcomputer-based system allowed the reliability of the determination of trace amounts of metals to be estimated. Peak height, width, and potential were measured as a function of time and concentration to construct the database. Measurements were made with a potentiostat polarographic analyser connected to the microcomputer and a hanging drop mercury electrode. The presence of surfactants, which presented a matrix problem, was detected via time domain dependent results and nonlinearity of the calibration. A decision to pretreat the samples could then be made. In the presence of surfactants, neither a direct calibration mode nor a linear standard addition method yielded precise data. Alternative ways to eliminate the interferences based either on theoretical considerations or destruction of the matrix needed to be considered. 

Quantification is usually achieved by a standard addition method, use of labeled internal standards, and/or external calibration curves. In order to allow for matrix interferences the most reliable method for a correct quantitation of the analytes is the isotope dilution method, which takes into account intrinsic matrix responses, using a deuterated internal standard or carbon-13-labeled internal standard with the same chemistry as the pesticide being analyzed (i.e., d-5 atrazine for atrazine analysis). Quality analytical parameters are usually achieved by participation in interlaboratory exercises and/or the analysis of certified reference materials [21]. 

In atomic absorption spectroscopy (AAS) the technique using calibration curves and the standard addition method are both equally suitable for the quantitative determinations of elements. 

Experimentally, an analyst will run several standards (at constant AEj to calibrate the analysis, and will then determine the amounts of analyte in solution. A standard additions method such as a Gran plot will further enhance the accuracy of measurement (e.g. see Section 4.3.2). 

At extreme overpotentials, the current is independent of potential. This maximum current is said to be limiting, that is, current a Cbuik- It is termed the diffusion current, /j. The dependence of la on concentration, drop speed, etc., is described by the Ilkovic equation (equation (6.5)), although calibration graphs or standard addition methods (Gran plots) are preferred for more accurate analyses. 

The detection and quantification capabilities of analytical methods often are important if they are used at trace levels of analytes. The description of the standard addition method, a special calibration in the sample finatises the chapter. 

The standard addition method is a calibration in the sample. Known amounts of analyte are added to the samples and the signal-concentration regression line is extrapolated to a signal of zero. 

Especially where no matrix adjusted external calibration is available the benefits of the standard addition method are obvious. 

The standard addition method of calibration (see Chapter 1) is often used to combat the uncertainties of varying interference effects in electrothermal atomization. However, care should be taken with this approach, as errors from spurious blanks and background may go undetected. It must also be emphasized that the technique of standard additions does not correct for all types of interference. 

GSAM is a combination of the standard addition method and multicomponent analysis. The general calibration model in GSAM is Rq = K Cq, where Ro is a vector of responses, obtained for the sample at NW sensors, K is the matrix of NW calibration factors of NA analytes, C is the vector of the concentrations of NA analytes, in the sample. The calibration of the system and the determination of the concentrations of the analytes are carried out in two stejK. 

Figure 9.26—NMR plot for the standard additions method. The unknown concentration corresponds to the abscissa segment between the origin of the axis and the intersection with the calibration curve.

Copper, Chromium, Manganese, and Nickel. The analytical method for determining copper, chromium, manganese, and nickel involves digesting the coal with nitric and perchloric acids, fusing the residue with lithium metaborate, and determining the combined digestion and leach solutions by atomic absorption spectrophotometry. Since there is no standard material to analyze for the construction of calibration curves, the standard additions method is used for the assay. While this method increases the time required for analysis, it helps to eliminate the effect of the matrix. 

The concept of order applies across the analytical field (recall the discussion of kinetics in Chapter 2). Order is also applied in classifying chemical sensors. When only one physical parameter constitutes the output of the sensor and is correlated with concentration, we call it a first-order sensor. An example is optical sensing of a component at one fixed wavelength. The concentration of the unknown sample is then obtained from the calibration curve (Fig. 10.1a) against absorbance, or by a standard addition method. For nonlinear sensors it is possible to use a linearization function /. 

Alternatively, the analysis may be performed by standard addition method (see Chapter 1.9) in which no calibration curve is required. Prepare an NH3 standard solution that is about 10 times as concentrated as the estimated concentration of NH3-N in the sample. Determine the electrode slope following the instruction manual. To 100 mL sample, add 1 mL 10 A NaOH and immerse the electrode and stir the solution. Record the millivolt value Ex when the reading is stable. Add 10 mL of standard solution into the sample. Mix thoroughly and record the stable millivolt reading E2. Calculate the millivolt difference AE as E2 - E and determine the concentration, Cx mg NH3-N/L, from the following expression ... 

Physical and chemical effects can be combined for identification as sample matrix effects. Matrix effects alter the slope of calibration curves, while spectral interferences cause parallel shifts in the calibration curve. The water-methanol data set contains matrix effects stemming from chemical interferences. As already noted in Section 5.2, using the univariate calibration defined in Equation 5.4 requires an interference-free wavelength. Going to multivariate models can correct for spectral interferences and some matrix effects. The standard addition method described in Section 5.7 can be used in some cases to correct for matrix effects. Severe matrix effects can cause nonlinear responses requiring a nonlinear modeling method. 

Booksh, K., Henshaw, J.M., Burgess, L.W., and Kowalski, B.R., A second-order standard addition method with application to calibration of a kinetics-spectroscopic sensor for quantitation of trichloroethylene, J. Chemom., 9, 263-282, 1995. 

As with univariate and multivariate calibration, three-way calibration assumes linear additivity of signals. When the sample matrix influences the spectral profiles or sensitivities, either care must be taken to match the standard matrix to those of the unknown samples, or the method of standard additions must be employed for calibration. Employing the standard addition method with three-way analysis is straightforward only standard additions of known analyte quantity are needed [42], When the standard addition method is applied to nonbilinear data, the lowest predicted analyte concentration that is stable with respect to the leave-one-out cross-validation method is unique to the analyte. 

Figure 7.11. Example of a calibration plot using the standard addition method.

It is clear that the standard additions method compensates for the change in slope of the calibration graph which the matrix components would cause. It is... 

Figure 1 An illustration of the use of the standard additions method. From the aqueous standards calibration graph, the unspiked sample would appear to contain LI3 mg of determinant per litre. The spiked samples allow a calibration graph with the correct slope to be used, and give a result of 1.50 mg l 1...

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