• Acta Optica Sinica
  • Vol. 39, Issue 2, 0230002 (2019)
Hongqiu Zhu*, Shujun Wu, Yonggang Li*, and Chunhua Yang
Author Affiliations
  • College of Information Science and Engineering, Central South University, Changsha, Hunan 410083, China
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    DOI: 10.3788/AOS201939.0230002 Cite this Article Set citation alerts
    Hongqiu Zhu, Shujun Wu, Yonggang Li, Chunhua Yang. A Spectrophotometric Detecting Method of Trace Copper Ion in Zinc Solution Based on Partition Modeling[J]. Acta Optica Sinica, 2019, 39(2): 0230002 Copy Citation Text show less
    Original spectral signals of Zn(II),Cu(II),Co(II)
    Fig. 1. Original spectral signals of Zn(II),Cu(II),Co(II)
    Derivative denoising spectral signals of Zn(II), Cu(II), Co(II)
    Fig. 2. Derivative denoising spectral signals of Zn(II), Cu(II), Co(II)
    (a) Spectral signals of different mass concentrations of Cu(II) in the background of high mass concentration of Zn(II)and trace concentration of Co(II); (b) relationship between Cu(II) mass concentration and spectral signal at 9 wavelength points
    Fig. 3. (a) Spectral signals of different mass concentrations of Cu(II) in the background of high mass concentration of Zn(II)and trace concentration of Co(II); (b) relationship between Cu(II) mass concentration and spectral signal at 9 wavelength points
    Correlation coefficient-stability value of wavelength variables of trace Cu(II)
    Fig. 4. Correlation coefficient-stability value of wavelength variables of trace Cu(II)
    Stability value of wavelength variables with MC-UVE PLS method
    Fig. 5. Stability value of wavelength variables with MC-UVE PLS method
    CVmse of models with different number of wavelength variables
    Fig. 6. CVmse of models with different number of wavelength variables
    Scatter plots of predicted and measured mass concentrations of Cu(II)
    Fig. 7. Scatter plots of predicted and measured mass concentrations of Cu(II)
    Wavelength /nmFitting methodFitting function
    Linear fitting2.8×10-3c+3.8×10-3
    500Nonlinear fitting-2.2×10-5c3+6.1×10-5c2+2.9×10-3c+3.6×10-3
    Partition fitting1) -6.1×10-4c3+1.8×10-3c2+1.4×10-3c+3.9×10-3;2) 2.5×10-3c+4.5×10-3
    Linear fitting9.1×10-4c+2.4×10-3
    520Nonlinear fitting-1.8×10-6c3-6.0×10-5c2+1.2×10-3c+2.2×10-3
    Partition fitting1) -5.4×10-4c3+1.5×10-3c2-1.3×10-4c+2.4×10-3;2) 7.1×10-4c+3.0×10-3
    Linear fitting3.8×10-4c+2.6×10-3
    540Nonlinear fitting-1.3×10-6c3-5.4×10-5c2+6.3×10-4c+2.4×10-3
    Partition fitting1) -4.5×10-4c3+1.2×10-3c2-3.2×10-4c+2.6×10-3;2) 2.2×10-4c+3.1×10-3
    Table 1. Fitting functions of Cu(II) mass concentration c and spectral signal at different wavelengths
    IonSVM modelPenalty parameter CKernel function parameter σ
    PSO-SVC4.10950.10
    Cu(II)PSO-SVR with low concentration interval8.82500.01
    PSO-SVR with high concentration interval4.16040.01
    Table 2. Parameters of SVM model
    ItemPredicted interval of mass concentration
    HighLow
    True interval ofHigh50
    mass concentrationLow09
    Table 3. Confusion matrix of mass concentration interval prediction results for Cu(II)
    IonModelWavelength numberMaximum relative error /%R2 /%RMSEP
    PLS40113.7898.160.1424
    PSO-SVR40197.5393.230.2835
    CARS PLS4610.8899.060.1020
    Cu(II)MC-UVE PLS678.1398.990.1057
    MC -UVE LS SVM6714.7999.180.0986
    VR-S SVR508.3299.470.0794
    VR-S C-SVR506.9499.610.0678
    Table 4. Modeling results based on seven methods
    Hongqiu Zhu, Shujun Wu, Yonggang Li, Chunhua Yang. A Spectrophotometric Detecting Method of Trace Copper Ion in Zinc Solution Based on Partition Modeling[J]. Acta Optica Sinica, 2019, 39(2): 0230002
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