Quantitative Analysis of Mn in Soil Based on Laser-Induced Breakdown Spectroscopy Optimization

Wen Sha; Jiangtao Li; Cuiping Lu

doi:10.3788/CJL202047.0511001

Journals >Chinese Journal of Lasers >Volume 47 >Issue 5 >Page 0511001 > Article

Chinese Journal of Lasers
Vol. 47, Issue 5, 0511001 (2020)

Quantitative Analysis of Mn in Soil Based on Laser-Induced Breakdown Spectroscopy Optimization

Wen Sha¹, Jiangtao Li¹, and Cuiping Lu^2、*

Author Affiliations

¹School of Electrical Engineering and Automation, Anhui University, Hefei, Anhui 230061, China

²School of Advanced Manufacturing Engineering, Hefei University, Hefei, Anhui 230601, China

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DOI: 10.3788/CJL202047.0511001 Cite this Article Set citation alerts

Wen Sha, Jiangtao Li, Cuiping Lu. Quantitative Analysis of Mn in Soil Based on Laser-Induced Breakdown Spectroscopy Optimization[J]. Chinese Journal of Lasers, 2020, 47(5): 0511001 Copy Citation Text

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Fig. 1. Schematic of LIBS system

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Fig. 2. Mn element spectrum of No.1 soil sample

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Fig. 5. Renderings of GA-SVM method. (a) Training set; (b) test set

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Fig. 6. Renderings of PSO-SVM method. (a) Training set; (b) test set

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Fig. 7. Renderings of LS-SVM method. (a) Training set; (b) test set

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Fig. 8. Absolute error diagrams of Mn element. (a) Training set; (b) test set

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Training setnumber	Actualmass fraction /(10^-4%)	Training setnumber	Actualmass fraction /(10^-4%)	Training setnumber	Actualmass fraction /(10^-4%)	Test setnumber	Actualmass fraction /(10^-4%)
1	1134.6	13	1157.5	25	1229.2	1	533.4
2	432.3	14	622.3	26	788.8	2	540.6
3	468.9	15	1220.5	27	769.2	3	581.1
4	997.8	16	1036.9	28	1333.1	4	613.6
5	905.8	17	498.8	29	728.2	5	622.2
6	650.6	18	510.9	30	523.6	6	666.4
7	1184.7	19	906.9	31	619.5	7	717.9
8	1470.3	20	499.0	32	633.1	8	751.4
9	744.2	21	643.9	33	789.0	9	1025.0
10	703.5	22	973.0	34	827.5	10	1258.7
11	715.9	23	730.5
12	631.1	24	888.1

Table 1. Actual mass fraction of Mn element

Parameter	t /s	$\begin{matrix} R_{tra}^{2} \end{matrix}$	$\begin{matrix} R_{t}^{2} \end{matrix}$	AverageR_e /%
Result	1.8313	0.866	0.897	8.7

Table 2. Results of GSM-SVM optimization method

Parameter	t /s	$\begin{matrix} R_{tra}^{2} \end{matrix}$	$\begin{matrix} R_{t}^{2} \end{matrix}$	AverageR_e /%
Result	3.8475	0.939	0.894	7.7

Table 3. Results of GA-SVM optimization method

Parameter	t /s	$\begin{matrix} R_{tra}^{2} \end{matrix}$	$\begin{matrix} R_{t}^{2} \end{matrix}$	AverageR_e /%
Result	3.5037	0.862	0.895	8.8

Table 4. Results of PSO-SVM optimization method

Parameter	t /s	$\begin{matrix} R_{tra}^{2} \end{matrix}$	$\begin{matrix} R_{t}^{2} \end{matrix}$	AverageR_e /%
Result	0.0182	0.998	0.967	5.4

Table 5. Results of LS-SVM optimization method

No.		1	2	3	4	5	6	7	8	9	10	Average
Actual /(10^-4%)		533.6	540.6	518.1	613.6	622.2	666.2	718.0	751.4	1025.0	1258.7	724.7
	MIR	583.7	564.1	671.4	598.0	812.5	656.9	655.5	803.7	1043.6	1323.9	771.3
	GSM	575.5	568.6	685.0	604.6	828.5	661.0	658.6	800.7	1037.1	1316.3	773.6
Predicted /(10^-4%)	GA	529.1	516.8	592.2	590.9	715.8	601.7	529.9	699.0	1088.9	1232.3	709.7
	PSO	580.4	572.9	687.8	606.9	830.2	664.7	662.1	802.9	1033.2	1311.9	775.3
	LS	616.6	587.0	556.7	625.3	652.6	686.6	702.7	703.4	1060.6	1316.8	750.8
	MIR	9.4	4.3	15.5	2.5	30.6	1.4	8.7	7.0	1.8	5.2	8.6
	GSM	7.9	5.2	17.9	1.5	33.2	0.8	8.3	6.6	1.2	4.6	8.7
R_e/%	GA	0.8	4.4	1.9	3.7	15.0	9.7	26.2	7.0	6.2	2.1	7.7
	PSO	8.8	6.0	18.4	1.1	33.4	0.2	7.8	6.9	0.8	4.2	8.8
	LS	15.6	8.6	4.2	1.9	4.9	3.1	2.1	6.4	3.5	3.3	5.4

Table 6. Relative error of mass fraction of Mn element test set

Wen Sha, Jiangtao Li, Cuiping Lu. Quantitative Analysis of Mn in Soil Based on Laser-Induced Breakdown Spectroscopy Optimization[J]. Chinese Journal of Lasers, 2020, 47(5): 0511001

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