Quantitative analysis of the distribution and content of trace metal elements in liquid samples with a three-dimensional confocal x-ray technique

Zhujun Xiang; Zhaoying Meng; Zhiguo Liu; Yue Han; Kai Pan; Peng Zhou; Yude Li

doi:10.1364/AO.58.004250

Applied Optics
Vol. 58,
Issue 16,
pp. 4250-4257
(2019)
•https://doi.org/10.1364/AO.58.004250

Quantitative analysis of the distribution and content of trace metal elements in liquid samples with a three-dimensional confocal x-ray technique

Zhujun Xiang, Zhaoying Meng, Zhiguo Liu, Yue Han, Kai Pan, Peng Zhou, and Yude Li

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Zhujun Xiang, Zhaoying Meng, Zhiguo Liu, Yue Han, Kai Pan, Peng Zhou, and Yude Li, "Quantitative analysis of the distribution and content of trace metal elements in liquid samples with a three-dimensional confocal x-ray technique," Appl. Opt. 58, 4250-4257 (2019)

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Abstract

Three-dimensional (3D) confocal x-ray fluorescence analysis technology is widely used, but the quantitative analysis of elemental spatial distributions of solid samples is complicated. This paper explores a quantitative analysis method that can be applied to solid samples. Fluorescence spectra of liquid samples are obtained on a 3D confocal x-ray fluorescence spectrometer. Curves are plotted showing the relationships between the fluorescence count intensity and the mass percentage of metal ions, and the respective fitting-curve equations are determined according to the curve morphology. Fluorescence intensity as a function of the mass percentage and depth position is derived from the samples for a particular acquisition time. These data play a potential role in the subsequent quantitative analysis of unknown mass percentages of solid samples.

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Mass Percentage ( $\times 10^{4} mg / L$ )	$A$	$μ_{b}$	Standard Deviation ( $A$ )	Standard Deviation ( $μ_{b}$ )	$χ_{R}^{2}$ (Normalized)
1.8	6716.02103	−0.02712	58.39162	$3.5659 \times 10^{- 4}$	$1.98706 \times 10^{- 4}$
1.6	5593.99235	−0.02699	60.04483	$4.51182 \times 10^{- 4}$	$2.97365 \times 10^{- 4}$
1.4	4500.63047	−0.02644	66.1014	$5.05955 \times 10^{- 4}$	$5.10511 \times 10^{- 4}$
0.8	1629.61464	−0.02615	27.17972	$7.16654 \times 10^{- 4}$	$4.48888 \times 10^{- 4}$
0.6	1459.50872	−0.02610	70.95585	0.00228	0.00315

Mass Percentage ( $\times 10^{4} mg / L$ )	$A$	$μ_{b}$	Standard Deviation ( $A$ )	Standard Deviation ( $μ_{b}$ )	$χ_{R}^{2}$ (Normalized)
1.8	3231.38703	−0.00793	29.44005	$1.1109 \times 10^{- 4}$	$3.11855 \times 10^{- 4}$
1.6	2101.5573	−0.00763	28.85689	$1.62686 \times 10^{- 4}$	$8.01398 \times 10^{- 4}$
1.4	1154.24284	−0.00749	14.12258	$1.37793 \times 10^{- 4}$	$4.17798 \times 10^{- 4}$
1.2	1100.61201	−0.00746	24.0349	$2.68414 \times 10^{- 4}$	0.00106
1.0	732.50298	−0.00701	18.6097	$3.33628 \times 10^{- 4}$	0.00155
0.8	318.39451	−0.00694	12.25615	$5.7363 \times 10^{- 4}$	0.00216

Mass Percentage ( $\times 10^{4} mg / L$ )	$A$	$μ_{b}$	Standard Deviation ( $A$ )	Standard Deviation ( $μ_{b}$ )	$χ_{R}^{2}$ (Normalized)
1.8	2598.07521	−0.02660	31.50522	$5.02701 \times 10^{- 4}$	$3.79957 \times 10^{- 4}$
1.6	1534.98928	−0.01793	21.60417	$3.92751 \times 10^{- 4}$	$6.00965 \times 10^{- 4}$
1.4	1190.01335	−0.01609	20.54726	$3.46961 \times 10^{- 4}$	$9.97393 \times 10^{- 4}$
1.2	521.35344	−0.01303	21.76265	0.00127	0.00304
1.0	441.05065	−0.01301	14.65046	$9.67344 \times 10^{- 4}$	0.00257
0.8	328.28196	−0.01284	12.14134	0.00117	0.00228
0.6	142.81711	−0.01130	8.32366	0.00119	0.00638

Mass Percentage ( $\times 10^{3} mg / L$ )	$A$	$μ_{b}$	Standard Deviation ( $A$ )	Standard Deviation ( $μ_{b}$ )	$χ_{R}^{2}$ (Normalized)
9	2548.37815	−0.01409	31.71491	$2.78448 \times 10^{- 4}$	0.00120
8	1408.16620	−0.01252	27.37266	$4.69843 \times 10^{- 4}$	0.00263
7	1277.46146	−0.01231	31.59841	$4.42688 \times 10^{- 4}$	0.00199
6	958.337860	−0.01223	29.98910	0.0013	0.00574

Mass Percentage ( $\times 10^{3} mg / L$ )	$A$	$μ_{b}$	Standard Deviation ( $A$ )	Standard Deviation ( $μ_{b}$ )	$χ_{R}^{2}$ (Normalized)
9	736.60537	−0.00916	13.55059	$2.59618 \times 10^{- 4}$	$3.71055 \times 10^{- 4}$
8	180.04277	−0.00901	5.39449	$4.5834 \times 10^{- 4}$	0.00114
7	178.80971	−0.00803	4.86252	$4.13585 \times 10^{- 4}$	0.00152
6	143.51675	−0.00685	6.02554	0.00118	0.00165

Element	$R$ -Squared
Mn	0.98177
Ni	0.86808
Cu	0.91632

Element	$R$ -Squared
Mn	0.98177
Ni	0.86808
Cu	0.91632

Abstract

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Equations (6)

Applied Optics