Acta Optica Sinica, Volume. 43, Issue 10, 1012001(2023)
Theoretical Corrections of Instrumental Broadening Effect and Surface Property Measurement of Fluid at Low Scattering Angle by Surface Light Scattering Method
Figures & Tables(11)
Fig. 1. Surface light scattering experimental system. (a) Schematic diagram; (b) physical diagram
Fig. 2. Normalized intensity correlation function of scattering signals with different incident angles Θi. (a) Θi=0.594°; (b) Θi=1.386°;(c) Θi=2.970°
Fig. 3. Steps to obtain interfacial tension and viscosity in frequency domain. (a) Zero channel data acquisition; (b) data folding; (c) frequency domain data obtained by Fourier transform and spectrum model fitting
Fig. 4. Δq fitted by Eq. (11) varying with discrete component and integral interval variable. (a) Δq varying with discrete component
Fig. 6. Angle dependence of interfacial tension and viscosity data obtained in time and frequency domains with instrumental broadening effect corrected, and frequency domain data without instrumental broadening effect corrected for R1336mzz(Z). (a) Liquid viscosity; (b) interfacial tension
Fig. 7. Angle dependence of interfacial tension and viscosity data obtained in time and frequency domains with instrumental broadening effect corrected, and frequency domains data without instrumental broadening effect corrected at 298.14 K for Ethyl myristate. (a) Liquid viscosity; (b) interfacial tension
Table 1. Specification of R1336mzz(Z) and Ethyl myristate
View tableTable 1. Specification of R1336mzz(Z) and Ethyl myristate
Sample Chemical abstracts service No. Chemical formula Tc /K pc /MPa Mm /
（g·mol-1）
Purity（mass fraction） R1336mzz（Z） 692-49-9 C3H2F6 444.50 2.895 164.05 0.9994 Ethyl myristate 124-06-1 C16H32O2 705.18 1.338 256.42 0.9970
Table 2. Fitted parameters and corresponding uncertainties by fitting frequency domain data with different discrete components and integral interval variables at Θi=1.0° for R1336mzz(Z)
View tableTable 2. Fitted parameters and corresponding uncertainties by fitting frequency domain data with different discrete components and integral interval variables at Θi=1.0° for R1336mzz(Z)
n d Δq /m-1 ΔΔq /m-1 100ΔΔq/Δq q0 /m-1 Δq0 /m-1 100Δq0/q0 5 20 4131.55 51.1243 1.24 204794 31.1003 0.02 5 15 4131.53 54.7611 1.33 204794 33.3126 0.02 5 10 4131.53 54.7609 1.33 204794 33.3125 0.02 5 8 4131.54 51.1240 1.24 204794 31.1001 0.02 5 6 4131.67 51.1309 1.24 204794 31.1018 0.02 5 4 4139.22 54.5447 1.32 204796 33.0991 0.02 5 3 4231.43 67.2489 1.59 204777 37.3746 0.02 5 2 30893.40 381.4570 1.23 203704 697.2130 0.34 7 10 4131.54 51.1244 1.24 204794 31.0998 0.02 6 10 4131.52 54.7607 1.33 204794 33.3123 0.02 5 10 4131.53 54.7609 1.33 204794 33.3125 0.02 4 10 4131.77 54.7870 1.33 204794 33.3301 0.02 3 10 4148.73 51.9692 1.25 204794 31.6190 0.02 2 10 4469.37 59.6050 1.33 204793 34.5775 0.02 1 10 6950.55 108.1350 1.56 204790 41.6555 0.02
Table 3. Fitted parameters and corresponding uncertainties obtained by fitting frequency domain data at different angles by Eq. (11) for R1336mzz(Z)
View tableTable 3. Fitted parameters and corresponding uncertainties obtained by fitting frequency domain data at different angles by Eq. (11) for R1336mzz(Z)
n d Θi /（°） Δq /m-1 ΔΔq /m-1 100ΔΔq/Δq q0 /m-1 Δq0 /m-1 100Δq0/q0 100Δq/q0 5 10 0.990 4305.64 38.0089 0.88 200539 24.0535 0.01 2.11 5 10 1.188 4260.89 63.3372 1.49 242849 34.1189 0.01 1.74 5 10 1.386 5171.89 78.7842 1.52 278780 44.1738 0.02 1.81 5 10 1.584 4706.45 90.9179 1.93 321566 39.2594 0.01 1.44 5 10 1.782 4708.12 77.2845 1.64 361886 29.1347 0.01 1.28 5 10 1.980 4986.25 133.8820 2.69 402191 49.1722 0.01 1.22 5 10 2.178 5148.59 182.2270 3.54 442802 61.1861 0.01 1.15 5 10 2.376 5009.68 213.9240 4.27 483322 63.2647 0.01 1.02 5 10 2.574 5738.31 352.7310 6.15 523208 109.4310 0.02 1.08 5 10 2.772 3837.30 1149.2200 29.95 563680 167.1910 0.03 0.67 5 10 0.990 4131.53 54.7609 1.33 204794 33.3125 0.02 2.02 5 10 1.188 4129.40 65.4816 1.59 245790 34.1765 0.01 1.69 5 10 1.386 4295.21 104.0010 2.42 286202 48.5959 0.02 1.50 5 10 1.584 4456.52 117.3400 2.63 328521 48.7031 0.01 1.37 5 10 1.782 4267.18 107.3870 2.52 370192 37.7596 0.01 1.16 5 10 1.980 4702.65 148.2860 3.15 413333 49.8953 0.01 1.15 5 10 2.178 4270.55 193.0420 4.52 458468 52.7809 0.01 0.95 5 10 2.376 4688.84 314.8820 6.72 498458 84.5633 0.02 0.96 5 10 2.574 4387.33 416.5590 9.49 538334 95.6441 0.02 0.83 5 10 2.772 3370.95 535.8460 15.90 580791 86.8993 0.01 0.59 5 10 2.970 4846.19 737.0180 15.21 621782 157.9240 0.03 0.79 5 10 3.168 3744.65 1047.1500 27.96 664828 150.1240 0.02 0.57
Table 4. Experimental surface tension and viscosity of R1336mzz(Z) and Ethyl myristate
View tableTable 4. Experimental surface tension and viscosity of R1336mzz(Z) and Ethyl myristate
Material T /K Y' Θi /（°） η /（mPa·s） 100ur（η）
（k=1）
σ /
（mN·m-1）
100ur（σ）
（k=1）
373.05 157.62 1.188 0.1663 0.88 5.61 0.05 373.05 143.67 1.386 0.1683 0.76 5.61 0.10 373.05 136.84 1.584 0.1635 0.70 5.60 0.07 373.05 128.14 1.782 0.1647 0.60 5.57 0.06 373.05 117.41 1.980 0.1655 0.41 5.61 0.04 R1336mzz（Z） 373.05 109.60 2.178 0.1658 0.37 5.63 0.04 373.05 101.83 2.376 0.1653 0.45 5.55 0.04 373.05 96.65 2.574 0.1630 0.41 5.51 0.04 373.05 91.14 2.772 0.1636 0.50 5.49 0.04 373.05 84.62 2.970 0.1644 0.62 5.38 0.05 373.05 79.95 3.168 0.1613 0.71 5.53 0.05 298.14 1.34 1.386 4.0129 0.64 23.10 0.45 298.14 1.11 1.584 4.0957 0.62 23.82 0.46 Ethyl myristate 298.14 1.00 1.782 4.1495 0.62 24.41 0.48 298.14 0.88 1.980 4.1786 0.74 24.64 0.59 298.14 0.76 2.178 4.1748 1.09 24.60 0.90 298.14 0.70 2.376 4.1765 1.04 24.68 0.88
Tools
Get Citation
Copy Citation Text
Xing Zhang, Guanjia Zhao, Jianguo Yin, Suxia Ma. Theoretical Corrections of Instrumental Broadening Effect and Surface Property Measurement of Fluid at Low Scattering Angle by Surface Light Scattering Method[J]. Acta Optica Sinica, 2023, 43(10): 1012001
Paper Information
Category: Instrumentation, Measurement and Metrology
Received: Nov. 14, 2022
Accepted: Dec. 25, 2022
Published Online: May. 9, 2023
The Author Email: Zhao Guanjia (xjtuthermo@foxmail.com)
© Copyright 2018-2021 | Chinese Laser Press.
All Rights Reserved 沪ICP备15018463号-20