Acta Optica Sinica, Volume. 37, Issue 10, 1029003(2017)
An Optimal Expression for Henry Function for the Calculation of Zeta Potential
Figures & Tables(8)
Fig. 2. ka curves for spherical particles of different concentrations and different types of electrolyte
Table 1. Comparison of the errors of different Henry functions
View tableTable 1. Comparison of the errors of different Henry functions
ka Wiersema Ohshima Optimization f (ka )f (ka )Error /% f (ka )Error /% 0.01 1.000 1.000 0 1.000 0 0.1 1.000 1.001 0.1 1.000 0 0.2 1.000 1.003 0.3 1.001 0.1 0.5 1.000 1.014 1.4 1.005 0.5 1 1.009 1.034 2.5 1.015 0.6 2 1.040 1.064 2.3 1.038 0.2 5 1.134 1.150 1.4 1.118 1.4 10 1.220 1.256 3.0 1.222 0.2 20 1.325 1.351 2.0 1.324 0.08 50 1.418 1.432 1.0 1.417 0.07 100 1.450 1.464 1.0 1.456 0.5 200 1.470 1.482 0.8 1.477 0.5 500 1.490 1.493 0.2 1.491 0.07 1000 1.500 1.496 0.3 1.495 0.3
Table 2. Expressions of ionic strength for different types of electrolyte
View tableTable 2. Expressions of ionic strength for different types of electrolyte
Type of electrolyte Ionic strength 1∶1 I= ( c× 12+c× 12)=c 1∶2 or 2∶1 I= (2 ×c× 12+c× 22)= 3c 2∶2 I= ( c× 22+c× 22)= 4c 1∶3 or 3∶1 I= (3 ×c× 12+c× 32)= 6c 3∶3 I= ( c× 32+c× 32)= 9c 2∶3 or 3∶2 I= (3 ×c× 22+ 2×c× 32)= 15c
Table 3. Double layer thickness of different concentrations and different types of electrolyte
View tableTable 3. Double layer thickness of different concentrations and different types of electrolyte
Type of electrolyte Double layer thickness /nm 10-7 mol·L-1 10-6 mol·L-1 10-5 mol·L-1 10-4 mol·L-1 10-3 mol·L-1 10-2 mol·L-1 10-1 mol·L-1 1∶1 962 304 96.2 30.4 9.62 3.04 0.962 1∶2 or 2∶1 555 176 55.5 17.6 5.55 1.76 0.555 2∶2 481 152 48.1 15.2 4.81 1.52 0.481 1∶3 or 3∶1 393 124 39.3 12.4 3.93 1.24 0.393 3∶3 321 101 32.1 10.1 3.21 1.01 0.321 2∶3 or 3∶2 248 78.5 24.8 7.85 2.48 0.785 0.248
Table 4. Henry function for the samples to be measured
View tableTable 4. Henry function for the samples to be measured
Parameter Sample 1 Sample 2 Sample 3 Sample 4 a /nm101.5 101.5 101.5 101.5 1/ k /nm0.962 3.04 9.62 962 ka 105.51 33.388 10.551 0.1055 f (ka )01.4528 1.3961 1.2267 1.0000 f (ka )11.4661 1.4026 1.2642 1.0006 f (ka )21.4583 1.3827 1.2303 1.0001
Table 5. Comparison of Zeta potentials calculated by different Henry functions
View tableTable 5. Comparison of Zeta potentials calculated by different Henry functions
No. Sample 1 Sample 2 Sample 3 Sample 4 μ ζ0 ζ1 ζ2 μ ζ0 ζ1 ζ2 μ ζ0 ζ1 ζ2 μ ζ0 ζ1 ζ2 1 -2.992 -39.4 -39.0 -39.2 -4.284 -58.8 -58.3 -59.2 -5.590 -87.3 -84.5 -86.8 -3.316 -64.1 -63.7 -64.1 2 -3.085 -40.6 -40.2 -40.4 -4.165 -57.1 -56.7 -57.5 -5.533 -86.4 -83.6 -85.9 -3.345 -64.7 -64.3 -64.6 3 -2.895 -38.2 -37.7 -37.9 -4.140 -56.8 -56.4 -57.2 -5.567 -86.9 -84.1 -86.4 -3.368 -65.1 -64.7 -65.1 4 -2.930 -38.6 -38.2 -38.4 -4.222 -58.0 -57.5 -58.3 -5.392 -84.2 -81.5 -83.7 -3.409 -65.9 -65.5 -65.9 5 -3.063 -40.4 -39.9 -40.1 -4.133 -56.7 -56.3 -57.1 -5.388 -84.1 -81.4 -83.6 -3.399 -65.7 -65.3 -65.7 6 -2.984 -39.3 -38.9 -39.1 -4.312 -59.1 -58.7 -59.6 -5.546 -86.6 -83.8 -86.1 -3.434 -66.4 -66.0 -66.3 Average -2.992 -39.4 -39.0 -39.2 -4.209 -57.8 -57.3 -58.2 -5.503 -85.9 -83.2 -85.4 -3.379 -65.3 -64.9 -65.3 Relative error /% - - 1.0 0.5 - - 0.9 0.7 - - 3.1 0.6 - - 0.5 0 Repeatability /% - - 2.5 2.4 - - 1.8 1.8 - - 1.6 1.6 - - 1.3 1.3
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Fuyuan Qin, Wei Liu, Wenjing Wang, C. Thomas John, Yajing Wang, Jin Shen. An Optimal Expression for Henry Function for the Calculation of Zeta Potential[J]. Acta Optica Sinica, 2017, 37(10): 1029003
Paper Information
Category: Scattering
Received: May. 17, 2017
Accepted: --
Published Online: Sep. 7, 2018
The Author Email: Wei Liu (weikey@sdut.edu.cn)
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