Accurate Measurement of Liquid-Phase Diffusion Coefficients of L-Serine Using a Composite Liquid-Core Cylindrical Lens

$Comparison of simulated and experimental MTF curves of SLCL-Doublet filled with different refractive index liquids. (a) Deionized water (n=1.3333); (b) absolute ethanol (n=1.3610); (c) glycerol (n=1.4730); (d) 0.8 mol/L L-serine (n=1.3458)$

Fig. 3. Comparison of simulated and experimental MTF curves of SLCL-Doublet filled with different refractive index liquids. (a) Deionized water (n=1.3333); (b) absolute ethanol (n=1.3610); (c) glycerol (n=1.4730); (d) 0.8 mol/L L-serine (n=1.3458)

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$Imaging principle of the SLCL-Doublet. (a) Image of solution with single refractive index; (b) image of two solutions with different refractive indices; (c) image of solution with refractive index gradient distribution along the z-axis (n1<n2<n3 =nc<n4)$

Fig. 4. Imaging principle of the SLCL-Doublet. (a) Image of solution with single refractive index; (b) image of two solutions with different refractive indices; (c) image of solution with refractive index gradient distribution along the z-axis (n₁<n₂<n₃=n_c<n₄)

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Fig. 5. Diagram of experimental device

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Fig. 6. Diffusion images captured by the CCD at different moments

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Fig. 7. Diagram of the diffusion coefficient of L-serine varies with concentration

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Table 1. Refractive indexes of KCl aqueous solution with different concentrations
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Table 1. Refractive indexes of KCl aqueous solution with different concentrations
Concentration /（mol∙L^-1） 0 0.10 0.20 0.30 0.40
n 1.3333 1.3341 1.3350 1.3361 1.3369
Concentration /（mol∙L^-1） 0.50 0.60 0.80 1.00 1.20
n 1.3379 1.3387 1.3405 1.3425 1.3442

Table 2. The change of the focal position with time during the diffusion of 0.33 mol/L KCl aqueous solution
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Table 2. The change of the focal position with time during the diffusion of 0.33 mol/L KCl aqueous solution
t_i /s 1200 1500 1800 2100 2400 2700 3000 3300 3600
$\sqrt[]{t_{i}} / s^{\frac{1}{2}}$ 34.64 38.73 42.43 45.83 48.99 51.97 54.77 57.45 60.00
N_i /pixel 526 701 864 1011 1143 1269 1387 1502 1611
Z_i /µm 1262.4 1682.4 2073.6 2426.4 2743.2 3045.6 3328.8 3604.8 3866.4

Table 3. Refractive indexes of L-serine aqueous solution with different concentrations
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Table 3. Refractive indexes of L-serine aqueous solution with different concentrations
Concentration /（mol∙L^-1） 0 0.20 0.40 0.60
n 1.3333 1.3365 1.3395 1.3424
Concentration /（mol∙L^-1） 0.80 1.00 1.20 2.00
n 1.3458 1.3482 1.3509 1.3623

Table 4. The change of the focal position with time during the diffusion of infinitely diluted L-serine aqueous solution
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Table 4. The change of the focal position with time during the diffusion of infinitely diluted L-serine aqueous solution
t_i /s 1200 1500 1800 2100 2400 2700 3000 3300 3600
$\sqrt[]{t_{i}} / s^{\frac{1}{2}}$ 34.64 38.73 42.43 45.83 48.99 51.97 54.77 57.45 60.00
N_i /pixel 569 675 769 858 939 1016 1084 1163 1236
$Z_{i} / μ m$ 1365.6 1620 1845.6 2059.2 2253.6 2438.4 2601.6 2791.2 2966.4

Table 5. Experimental data of the equivalent refractive index method of L-serine aqueous solution for different concentrations

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Table 5. Experimental data of the equivalent refractive index method of L-serine aqueous solution for different concentrations

Concentration /（mol·L^-1）	Refractive index of thin layer	Concentration of thin layer /（mol·L^-1）	Fitting result	Correlation coefficient	D₀ /（10^-6 cm²·s^-1）
0.03	1.3366	0.203	$z_{c}^{i} = 57.40441 \sqrt[]{t_{i}} - 223.57871$	0.9996	8.98
0.07	1.3380	0.300	$z_{c}^{i} = 49.29604 \sqrt[]{t_{i}} - 473.96296$	0.9996	8.74
0.13	1.3390	0.370	$z_{c}^{i} = 46.66448 \sqrt[]{t_{i}} + 1624.56103$	0.9997	8.47
0.19	1.3392	0.383	$z_{c}^{i} = 50.49621 \sqrt[]{t_{i}} + 795.98237$	0.9996	8.23

Table 6. Uncertainty values for diffusion coefficients of different concentrations of L-serine solutions
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Table 6. Uncertainty values for diffusion coefficients of different concentrations of L-serine solutions
$C o n c e n t r a t i o n / (m o l \cdot L^{- 1})$ 0 0.03 0.07 0.13 0.19
$D / (10^{- 6} c m^{2} \cdot s^{- 1})$ 9.37 8.98 8.74 8.47 8.23
$u_{C} (D) / (10^{- 6} c m^{2} \cdot s^{- 1})$ 0.14 0.14 0.14 0.11 0.13

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Nan Yang, Yaqing Liu, Licun Sun. Accurate Measurement of Liquid-Phase Diffusion Coefficients of L-Serine Using a Composite Liquid-Core Cylindrical Lens[J]. Laser & Optoelectronics Progress, 2025, 62(5): 0512003

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Paper Information

Category: Instrumentation, Measurement and Metrology

Received: May. 17, 2024

Accepted: Jul. 29, 2024

Published Online: Mar. 12, 2025

The Author Email:

DOI:10.3788/LOP241311

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Refractive indexes of KCl aqueous solution with different concentrations

Table 1. Refractive indexes of KCl aqueous solution with different concentrations

Table 2. The change of the focal position with time during the diffusion of 0.33 mol/L KCl aqueous solution

Table 2. The change of the focal position with time during the diffusion of 0.33 mol/L KCl aqueous solution

Table 3. Refractive indexes of L-serine aqueous solution with different concentrations

Table 3. Refractive indexes of L-serine aqueous solution with different concentrations

Table 4. The change of the focal position with time during the diffusion of infinitely diluted L-serine aqueous solution

Table 4. The change of the focal position with time during the diffusion of infinitely diluted L-serine aqueous solution

Table 5. Experimental data of the equivalent refractive index method of L-serine aqueous solution for different concentrations

Table 5. Experimental data of the equivalent refractive index method of L-serine aqueous solution for different concentrations

Table 6. Uncertainty values for diffusion coefficients of different concentrations of L-serine solutions

Table 6. Uncertainty values for diffusion coefficients of different concentrations of L-serine solutions