Acta Photonica Sinica, Volume. 52, Issue 6, 0629001(2023)
Optimal Selection of Correlation Function Fitting Window in Bimodal Particle Size Inversion by Dynamic Light Scattering
Figures & Tables(16)
Fig. 1. Example of sequential extraction of late exponentials method corresponding to bimodal particle systems
Fig. 2. Attenuation characteristics of the correlation function derived from the electric field correlation function
Fig. 3. Electric field correlation function and attenuation rate of correlation function for 140.9 nm equivalent mean particle size
Fig. 4. Electric field correlation function and attenuation rate of correlation function for 70.6 nm equivalent mean particle size
Fig. 5. Bimodal particle correlation function relative attenuation characteristics plots
Fig. 6. Extraction results of 95 nm/285 nm bimodal correlation function by SELE method under the first fitting window
Fig. 7. Extraction results of 95 nm/285 nm bimodal particle correlation function by SELE method under the second fitting window
Fig. 8. H-RAC plots and reference points of bimodal particles for different equivalent mean particle sizes
Fig. 9. Extraction results of 95 nm/285 nm bimodal correlation function by ACSELE method
Fig. 10. Extraction results of 100 nm/400 nm bimodal correlation function by ACSELE method
Fig. 11. ACSELE method for 60 nm/220 nm measured bimodal particle correlation function extraction results
Fig. 12. ACSELE method for 65 nm/450 nm measured bimodal particle correlation function extraction results
Table 1. Results of the simulated bimodal correlation function calculation using SELE method
View tableView in ArticleTable 1. Results of the simulated bimodal correlation function calculation using SELE method
nm
nm
nm
nm
%
%
nm
nm
%
%
Window1 Window2 140.9 285.0 95.0 134.8 4.5 52.6 95.2 187.3 3.5 34.2 96.3 0.104 3.63×10-4：1.10×10-3 4.25×10-5：1.245×10-4 159.1 78.5 44.1 17.3 231.0 1000.0 18.9 95.2 0.122 6.20×10-4：1.80×10-3 1.45×10-5：4.25×10-5 250.8 85.4 11.9 10.0 265.6 70.5 6.8 25.7 0.277 1.10×10-3：5.30×10-3 4.25×10-5：3.63×10-4 400.0 100.0 365.0 94.1 8.7 5.8 376.4 75.6 5.8 24.3 0.306 1.10×10-3：9.00×10-3 1.45×10-5：3.63×10-4 465.8 100.6 16.4 0.6 464.1 81.1 16.0 18.8 0.361 1.10×10-3：1.54×10-2 4.25×10-5：3.63×10-4 404.9 99.1 1.2 0.8 432.8 93.2 8.2 6.7 0.524 1.80×10-3：9.00×10-3 1.245×10-4：6.20×10-6 630.0 105.0 517.1 101.7 17.9 3.0 600.5 86.9 4.6 17.1 0.349 1.80×10-3：9.00×10-3 1.45×10-5：3.63×10-4 570.6 108.5 9.4 3.3 705.4 86.9 11.9 17.1 0.380 3.10×10-3：9.00×10-3 4.25×10-5：3.63×10-4 702.0 111.4 11.4 6.1 811.1 100.0 28.7 4.7 0.519 3.10×10-3：1.71×10-2 7.30×10-5：5.57×10-4 70.6 144.0 48.0 156.5 52.0 8.7 8.4 162.9 49.7 13.1 3.6 0.222 1.10×10-3：3.10×10-3 1.45×10-5：3.63×10-4 95.6 42.8 33.6 10.7 114.9 32.7 20.1 31.7 0.213 3.63×10-4：1.60×10-3 4.25×10-5：1.245×10-4 137.9 46.6 4.2 2.9 141.7 40.3 1.5 15.9 0.354 6.20×10-4：3.10×10-3 4.25×10-5：2.125×10-4 200.0 50.0 180.3 50.5 9.8 1.0 215.4 46.4 7.7 7.1 0.459 1.10×10-3：3.10×10-3 1.45×10-5：3.63×10-4 239.2 58.4 19.6 16.9 247.7 53.3 23.8 6.7 0.612 1.80×10-3：4.70×10-3 4.25×10-5：4.04×10-4 221.2 54.0 10.6 8.0 231.0 46.4 15.5 7.1 0.458 1.10×10-3：5.30×10-3 7.30×10-5：2.125×10-4 300.0 50.0 235.4 45.9 21.5 8.0 284.8 40.3 5.0 19.2 0.130 1.10×10-3：3.10×10-3 1.45×10-5：2.125×10-4 289.5 48.6 3.4 2.6 327.4 46.4 9.1 7.1 0.066 1.80×10-3：4.70×10-3 4.25×10-5：4.04×10-4 272.1 46.9 9.2 6.1 305.3 46.4 1.8 7.1 0.059 1.10×10-3：5.30×10-3 4.25×10-5：3.63×10-4
Table 2. Calculation of start and end point of fitting window of simulated bimodal correlation function
View tableView in ArticleTable 2. Calculation of start and end point of fitting window of simulated bimodal correlation function
nm nm
nm
140.9 285.0 95.0 3.45×10-5 1.00×10-2 0.026 4 0.172 8.800 0.003 0 0.019 400.0 100.0 2.80×10-5 1.24×10-2 0.040 6 0.296 11.900 0.003 4 0.024 630.0 105.0 2.25×10-5 1.91×10-2 0.039 6 0.260 12.300 0.003 2 0.021 70.6 144.0 48.0 1.80×10-5 6.50×10-3 0.025 0 0.142 7.600 0.003 2 0.018 200.0 50.0 2.25×10-5 6.50×10-3 0.033 6 0.253 11.200 0.003 0 0.022 300.0 50.0 1.45×10-5 9.00×10-3 0.039 6 0.300 12.400 0.003 1 0.024
Table 3. Results of the simulated bimodal correlation function calculation using the ACSELE method
View tableView in ArticleTable 3. Results of the simulated bimodal correlation function calculation using the ACSELE method
nm nm
nm
nm
nm
%
nm
nm
%
%
140.9 285.0 95.0 3.45×10-5 1.20×10-3 9.00×10-3 285.6 95.0 0.2 2.5×10-2 327.4 93.2 14.9 1.8 0.066 400.0 100.0 2.80×10-4 1.30×10-3 1.12×10-2 403.7 98.6 0.9 1.3 432.8 100.0 8.2 0.0 0.531 630.0 105.0 2.25×10-5 1.50×10-3 1.91×10-2 631.6 104.1 0.2 0.8 657.9 107.2 4.4 0.2 0.056 70.6 144.0 48.0 1.80×10-5 6.20×10-4 5.30×10-3 146.7 51.4 1.9 7.2 162.9 49.7 13.1 3.6 0.043 200.0 50.0 2.25×10-5 6.20×10-4 5.30×10-3 198.9 49.1 0.5 1.6 200.9 49.7 0.4 0.4 0.548 300.0 50.0 1.45×10-5 7.68×10-4 8.10×10-3 300.7 47.4 0.2 5.0 305.3 49.7 1.8 0.4 0.043
Table 4. Results of correlation function calculation for two groups of real bimodal particles using different methods
View tableView in ArticleTable 4. Results of correlation function calculation for two groups of real bimodal particles using different methods
nm nm
Method nm
nm
%
%
nm
nm
%
%
220 60 ACSELE 7.65×10-5 8.29×10-4 / 3.60×10-3 217.4 62.8 1.1 4.6 215.4 56.4 2.0 5.9 0.110 SELE 4.45×10-5 2.85×10-4 1.00×10-3 3.60×10-3 227.1 63.7 3.2 6.3 213.3 50.3 3.0 16.1 1.023 450 65 ACSELE 5.65×10-5 1.00×10-3 / 3.10×10-3 452 64.7 0.4 0.4 442.6 62.4 1.6 4.2 0.011 SELE 2.85×10-5 3.81×10-4 7.01×10-4 3.30×10-3 457.2 66.1 1.6 1.7 422.9 59.9 6.0 7.7 0.735
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Yuexin LIU, Wei LIU, Hongyan JIA, Jizhou CHEN, Yajin WANG, Jin SHEN. Optimal Selection of Correlation Function Fitting Window in Bimodal Particle Size Inversion by Dynamic Light Scattering[J]. Acta Photonica Sinica, 2023, 52(6): 0629001
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Received: Jan. 4, 2023
Accepted: Feb. 9, 2023
Published Online: Jul. 27, 2023
The Author Email: LIU Wei (weikey@sdut.edu.cn)
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