New method for measuring liquid diffusion coefficient by equivalent concentration thin layer move

Table 1. Measured values of potassium chloride widths at different concentrations
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Table 1. Measured values of potassium chloride widths at different concentrations
C/(mol/L) 0.0 0.5 1.0 1.5 2.0 2.5 3.0
w/pixel 8 113 214 316 413 510 611

Table 2. Changes of position $Z_{w}'$ of thin layer C_w=0.09 mol/L (w=30 pixels) with time t

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Table 2. Changes of position $Z_{w}'$ of thin layer C_w=0.09 mol/L (w=30 pixels) with time t

t/s	t^1/2/s^1/2	$Z_{w}'$ /cm	t/s	t^1/2/s^1/2	$Z_{w}'$ /cm
1 200	34.641 0	0.8558	2 760	52.535 7	0.649 6
1 320	36.331 8	0.8355	2 880	53.665 6	0.638 0
1 440	37.947 3	0.8212	3 000	54.772 3	0.628 7
1560	39.496 8	0.8063	3 120	55.857 0	0.616 0
1 680	40.987 8	0.7871	3 240	56.921 0	0.605 0
1 800	42.426 4	0.7695	3 360	57.965 5	0.594 0
1 920	43.817 8	0.7563	3 480	58.991 5	0.585 8
2 040	45.166 4	0.7414	3 600	60.000 0	0.570 9
2 160	46.475 8	0.7255	3 720	60.991 8	0.563 8
2 280	47.749 3	0.7095	3 840	61.967 7	0.548 9
2 400	48.989 8	0.6952	3 960	62.928 5	0.537 4
2 520	50.199 6	0.6782	4 080	63.874 9	0.525 3
2 640	51.380 9	0.6611	4 200	64.807 4	0.514 8

Table 3. Corresponding calculation results of different thin layers

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Table 3. Corresponding calculation results of different thin layers

薄层宽度w/pixels	薄层浓度C_w/(mol/L)	拟合关系	相关系数R²	D/(×10⁻⁵ cm²/s)	相对误差/%
30	0.09	$Z_{w}'$ =−0.0113t^1/2+1.2499	0.999 3	1.804 9	2.3
32	0.10	$Z_{w}'$ =−0.0111t^1/2+1.2543	0.998 7	1.831 6	0.8
34	0.11	$Z_{w}'$ =−0.0108t^1/2+1.2513	0.997 6	1.818 5	1.5
36	0.12	$Z_{w}'$ =−0.0107t^1/2+1.2526	0.999 2	1.867 8	1.1
38	0.13	$Z_{w}'$ =−0.0105t^1/2+1.2531	0.998 3	1.877 9	1.7
40	0.14	$Z_{w}'$ =−0.0102t^1/2+1.2523	0.998 3	1.847 3	0.02
42	0.15	$Z_{w}'$ =−0.0100t^1/2+1.2537	0.996 9	1.848 0	0.06
44	0.16	$Z_{w}'$ =−0.0099t^1/2+1.2594	0.998 7	1.882 7	1.9
46	0.17	$Z_{w}'$ =−0.0100t^1/2+1.2659	0.998 4	1.994 4	8.0
48	0.18	$Z_{w}'$ =−0.0100t^1/2+1.2846	0.998 8	2.068 4	12.0
50	0.19	$Z_{w}'$ =−0.0100t^1/2+1.2842	0.999 1	2.143 4	16.1
60	0.24	$Z_{w}'$ =−0.0095t^1/2+1.2866	0.998 9	2.285 9	23.8
70	0.29	$Z_{w}'$ =−0.0091t^1/2+1.3085	0.998 5	2.447 0	32.5
80	0.34	$Z_{w}'$ =−0.0087t^1/2+1.3186	0.998 5	2.589 1	40.2
90	0.39	$Z_{w}'$ =−0.0083t^1/2+1.3316	0.997 3	2.714 7	47.0
100	0.44	$Z_{w}'$ =−0.0079t^1/2+1.3348	0.997 5	2.825 5	53.0

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Ruiqin YANG, Bolin GENG, Yuan LI, Xin LIANG, Weidong MENG. New method for measuring liquid diffusion coefficient by equivalent concentration thin layer move[J]. Journal of Applied Optics, 2025, 46(2): 253

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Paper Information

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Received: May. 23, 2024

Accepted: --

Published Online: May. 13, 2025

The Author Email: Weidong MENG (孟伟东)

DOI:10.5768/JAO202546.0201003

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Measured values of potassium chloride widths at different concentrations

Table 1. Measured values of potassium chloride widths at different concentrations

Table 2. Changes of position Zw' of thin layer Cw=0.09 mol/L (w=30 pixels) with time t

Table 2. Changes of position Zw' of thin layer Cw=0.09 mol/L (w=30 pixels) with time t

Table 3. Corresponding calculation results of different thin layers

Table 3. Corresponding calculation results of different thin layers

Table 2. Changes of position $Z_{w}'$ of thin layer C_w=0.09 mol/L (w=30 pixels) with time t

Table 2. Changes of position $Z_{w}'$ of thin layer C_w=0.09 mol/L (w=30 pixels) with time t