Retrieval of Polydisperse Au-Ag Alloy Nanospheres by Spectral Extinction Method

Yu-xia ZHENG; Paerhatijiang TUERSUN; Remilai ABULAITI; Long CHENG; Deng-pan MA

doi:10.3964/j.issn.1000-0593(2022)10-3039-07

Journals >Spectroscopy and Spectral Analysis >Volume 42 >Issue 10 >Page 3039 > Article

Spectroscopy and Spectral Analysis
Vol. 42, Issue 10, 3039 (2022)

Retrieval of Polydisperse Au-Ag Alloy Nanospheres by Spectral Extinction Method

Yu-xia ZHENG^*, Paerhatijiang TUERSUN^{1; 2; *;}, Remilai ABULAITI^{1; 2;}, Long CHENG^{1; 2;}, and Deng-pan MA^{1; 2;}

Author Affiliations

1. School of Physics and Electronic Engineering, Xinjiang Normal University, Urumqi 830054, China

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DOI: 10.3964/j.issn.1000-0593(2022)10-3039-07 Cite this Article

Yu-xia ZHENG, Paerhatijiang TUERSUN, Remilai ABULAITI, Long CHENG, Deng-pan MA. Retrieval of Polydisperse Au-Ag Alloy Nanospheres by Spectral Extinction Method[J]. Spectroscopy and Spectral Analysis, 2022, 42(10): 3039 Copy Citation Text

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Fig. 1. Comparison of inverted results with original distribution for particle systems Ⅰ
(a): Particle size distribution; (a): Extinction spectrum

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Fig. 2. Comparison of inverted results with original distribution for particle systems Ⅱ
(a): Particle size distribution; (a): Extinction spectrum

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Fig. 3. Variations of inversion relative error with mean particle size and particle size distribution standard deviation
(a): Variation of inversion relative error with mean particle size; (b): Variation of inversion relative error with particle size distribution standard deviation

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Fig. 4. Inversion results after adding 0.5% random noise
(a): Particle size distribution; (b): Extinction spectrum

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Fig. 5. Inversion results after adding 1.0% random noise
(a): Particle size distribution; (b): Extinction spectrum

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Fig. 6. Comparison of the inversion results with the original distribution after adding 0.5% random noises (Calculated 100 inversion results)
(a): Mean particle size; (b): Standard deviation of particle size; (c): Particle number concentration

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波长范围 /nm	颗粒系Ⅰ			颗粒系Ⅱ
波长范围 /nm	D_m的误差/%	σ的误差/%	N的误差/%	D_m的误差/%	σ的误差/%	N的误差/%
[200, 300]	+1.74	+23.90	-3.96	-6.11	+40.39	+11.08
[200, 400]	+1.64	+31.18	-3.85	-5.75	+38.31	+10.37
[200, 500]	-0.22	+40.02	+0.48	-5.01	+36.18	+8.52
[200, 600]	+0.01	-0.52	-0.02	-4.72	+35.53	+7.76
[300, 400]	+2.18	+57.23	-5.30	0.36	+42.66	-6.08
[300, 500]	0	-0.03	0	+0.06	-1.19	-0.04
[300, 600]	-0.01	-0.56	+0.02	-1.19	+8.80	+2.08
[400, 500]	+0.01	-0.84	-0.01	-1.90	+14.25	+3.32
[400, 600]	+0.02	-0.73	-0.04	-3.60	+30.46	+5.35
[500, 600]	-0.06	+0.98	+0.19	+39.35	+53.36	-78.85

Table 1. Inversion errors of particle ensembles Ⅰ and particle ensembles Ⅱ in different wavelength ranges

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颗粒系Ⅰ	0.5%随机噪声	1.0%随机噪声
原始的D_m/nm	80	80
反演的 ${\bar{D}}_{m}$ /nm	79.93	79.84
${\bar{D}}_{m}$ 的误差/%	-0.09	-0.19
原始的σ/nm	6	6
反演的 $\bar{σ}$ /nm	6.12	6.37
$\bar{σ}$ 的误差/%	+2.31	+5.72
原始的N/(个·cm^-3)	1×10¹⁰	1×10¹⁰
反演的 $\bar{N}$ /(个·cm^-3)	1.001 8×10¹⁰	1.004 3×10¹⁰
$\bar{N}$ 的误差/%	+0.18	+0.43

Table 2. Comparison of original and inversion parameters (obtained by averaging 100 inversion results)

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