2017
DOI: 10.1002/cem.2913
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Quantitative analysis based on spectral shape deformation: A review of the theory and its applications

Abstract: Most of the commonly used calibration methods in quantitative spectroscopic analysis are established or derived from the assumption of a linear relationship between the concentrations of the analytes of interest and corresponding absolute spectral intensities. They are not applicable for heterogeneous samples where the potential uncontrolled variations in optical path length due to the changes in samples' physical properties undermine the basic assumption behind them. About a decade ago, a unique calibration s… Show more

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Cited by 14 publications
(7 citation statements)
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“…Then, Equation can be rewritten as follows: xibold=pi*·()rR,i·boldsbold+sSSbold+dibold,0.5emibold=1,2,,N. Here, pi*bold=pi·ci; ∆ s = s RS − s SS . Obviously, Equation complies with the spectral shape deformation quantitative theory―SSD (for detailed information on the SSD theory, readers please refer to Supporting Information or Chen et al and Jin et al and Hu et al and Du et al). Therefore, the multiplicative parameter vector p ( boldp=[];;;p1bold*p2bold*pNbold*) for the N calibration samples can be estimated out by the modified optical path length estimation and correction method .…”
Section: Quantification Of Propranolol Enantiomers By Mass Spectrometmentioning
confidence: 75%
See 1 more Smart Citation
“…Then, Equation can be rewritten as follows: xibold=pi*·()rR,i·boldsbold+sSSbold+dibold,0.5emibold=1,2,,N. Here, pi*bold=pi·ci; ∆ s = s RS − s SS . Obviously, Equation complies with the spectral shape deformation quantitative theory―SSD (for detailed information on the SSD theory, readers please refer to Supporting Information or Chen et al and Jin et al and Hu et al and Du et al). Therefore, the multiplicative parameter vector p ( boldp=[];;;p1bold*p2bold*pNbold*) for the N calibration samples can be estimated out by the modified optical path length estimation and correction method .…”
Section: Quantification Of Propranolol Enantiomers By Mass Spectrometmentioning
confidence: 75%
“…In this contribution, the mass spectrometric technique for the quantification of chiral compounds based on chemical derivatization was seamlessly integrated with latest developed spectroscopic quantitative theory (ie, the spectral shape deformation quantitative theory) to establish a simple but effective strategy for accurate and precise determination of chiral compounds. The performance of the proposed strategy was tested on the quantification of R‐propranolol in propranolol tablets.…”
Section: Introductionmentioning
confidence: 99%
“…Among all the available methods, the PLS regression has been used most widely for the analysis of NIR spectral data [18,22]. The biggest problem with PLS methods is that the spectrum property relationship is supposed to be linear.…”
Section: Discussionmentioning
confidence: 99%
“…Generally, internal standards are adopted to mitigate the influence of poor reproducibility of SERS measurements, and hence to improve the accuracy and precision of quantitative SERS assays. [14][15][16] Since TMT is a ratiometric SERS probe, the combination of TMT with the recently developed spectral shape deformation quantitative theory 17 can effectively solve the problem of poor reproducibility without the use of internal standards.…”
Section: Introductionmentioning
confidence: 99%