scholarly journals A comparative study of experimental and theoretical refractive index of binary liquid mixtures using mathematical methods

2018 ◽  
Vol 390 ◽  
pp. 012116
Author(s):  
A Gayathri ◽  
T Venugopal ◽  
R Padmanaban ◽  
K Venkatramanan ◽  
R Vijayalakshmi
Keyword(s):  
Refractive Index ◽  
Comparative Study ◽  
Liquid Mixtures ◽  
Binary Liquid Mixtures ◽  
Mathematical Methods ◽  
Binary Liquid

scholarly journals A Comparative Study of Experimental and Theoretical Ultrasonic Velocity of Binary Liquid Mixtures Using Mathematical Methods

2018 ◽  
Vol 7 (4.10) ◽  
pp. 602
Author(s):  
A. Gayathri ◽  
T. Venugopal ◽  
K. Venkatramanan
Keyword(s):  
Comparative Study ◽  
Ultrasonic Velocity ◽  
Liquid Mixtures ◽  
Industrial Applications ◽  
Binary Liquid Mixtures ◽  
Ultrasonic Velocities ◽  
Mathematical Methods ◽  
Binary Liquid ◽  
Mathematical Equations ◽  
Experimental Values

A comparative study of ultrasonic velocities of binary liquid mixtures such as O-cresol+carbon tetrachloride, anisicaldehyde+methylacetate, anisicaldehyde+ethylacetate, having industrial applications are analysed at temperature 303K for different concentrations [0 to 1%]. In the present study experimental values are taken from literature and there values are compared with theoretical values obtained by various mathematical equations such as Nomoto’s relation, VandealVangeal formula, Impedance relation, Rao’s specific relation. Thus, the present study reveals the nature of interaction between component molecules in the mixtures and enables us to identify a suitable mathematical model for predicting the ultrasonic velocity various binary liquid mixtures.    

Density, viscosity and refractive index of binary liquid mixtures at 293.15, 298.15, 303.15, 308.15 and 313.15K

2012 ◽  
Vol 37 ◽  
pp. 1-11 ◽  
Author(s):  
R.K. Shukla ◽  
Atul Kumar ◽  
Naveen Awasthi ◽  
Urvashi Srivastava ◽  
V.S. Gangwar
Keyword(s):  
Refractive Index ◽  
Liquid Mixtures ◽  
Binary Liquid Mixtures ◽  
Binary Liquid

scholarly journals Theoretical Evaluation of Refractive Index in Binary Liquid Mixtures

2005 ◽  
Vol 2 (2) ◽  
pp. 157-160 ◽  
Author(s):  
Shipra Baluja ◽  
Nirmal Pandaya ◽  
Nikunj Kachhadia ◽  
Asif Solanki
Keyword(s):  
Refractive Index ◽  
Diethyl Malonate ◽  
Liquid Mixtures ◽  
Binary Liquid Mixtures ◽  
Mixing Rules ◽  
Theoretical Evaluation ◽  
Binary Liquid ◽  
Experimental Values

The density and refractive index (RI) for four binary liquid mixtures: diethyl malonate + dimethylformamide (DEM+DMF), diethyl malonate + Hexane (DEM+HEX), diethyl malonate + tetrahydrofuran (DEM+THF), diethyl malonate + 1,4-dioxane (DEM+DO) have been measured. The experimental values are compared with those calculated from Lorentz-Lorentz, Heller, Newton and Gladstone -Dale mixing rules.

Comparative study of binary liquid mixtures containing aniline and formamide at different temperatures

2018 ◽  
Vol 5 (13) ◽  
pp. 26263-26270
Author(s):  
T. kalimulla ◽  
K.Govinda Rao ◽  
G.V. Gangadhara Rao ◽  
Shaik Babu
Keyword(s):  
Comparative Study ◽  
Liquid Mixtures ◽  
Binary Liquid Mixtures ◽  
Binary Liquid ◽  
Different Temperatures

scholarly journals Density and Comparative Refractive Index Study on Mixing Properties of Binary Liquid Mixtures of Eucalyptol with Hydrocarbons at 303.15, 308.15 and 313.15 K

2007 ◽  
Vol 4 (3) ◽  
pp. 343-349 ◽  
Author(s):  
Sangita Sharma ◽  
Pragnesh B. Patel ◽  
Rignesh S. Patel ◽  
J. J. Vora
Keyword(s):  
Refractive Index ◽  
Polynomial Equation ◽  
Liquid Mixtures ◽  
Binary Liquid Mixtures ◽  
Average Deviation ◽  
Mixing Properties ◽  
Binary Liquid ◽  
Index Study ◽  
Different Temperatures ◽  
Mole Fraction Range

Density and refractive index have been experimentally determined for binary liquid mixtures of eucalyptol with hydrocarbons (o-xylene,m-xylene and toluene) at 303.15 K, 308.15 K and 313.15 K. A comparative study of Lorentz-Lorenz (L-L), Weiner (W), Heller (H), Gladstone-Dale (G-D), Arago-Biot (A-B), Eykman (Eyk), Newton (Nw), Eyring-John (E-J) and Oster (Os) relations for determining the refractive index of a liquid has been carried out to test their validity for the three binaries over the entire mole fraction range of eucalyptol at 303.15 K, 308.15 K and 313.15 K. Comparison of various mixing rules has been expressed in terms of average deviation. From the experimentally measured values, refractive index deviations at different temperatures have been computed and fitted to the Redlich-Kister polynomial equation to derive the binary coefficients and standard deviations.

scholarly journals Measuring the refractive index of a methanol - water mixture according to the wavelength

2021 ◽  
Vol 13 (1) ◽  
pp. 10
Author(s):  
Dung Tien Nguyen ◽  
Le Canh Trung ◽  
Nguyen Duy Cuong ◽  
Ho Dinh Quang ◽  
Dinh Xuan Khoa ◽  
...  
Keyword(s):  
Refractive Index ◽  
Comparative Study ◽  
White Light ◽  
Near Infrared ◽  
Michelson Interferometer ◽  
Liquid Mixtures ◽  
Refractive Indices ◽  
Water Mixture ◽  
Spectral Interferometry ◽  
Binary Liquid

The refractive index of the methanol-water mixture depending on the wavelength at different concentrations was determined by our experimental method using a Michelson interferometer system. A comparative study of Gladstone-Dale, Arago–Biot and Newton relations for predicting the refractive index of a liquid has been carried out to test their validity for the methanol-water mixture with the different concentrations 30%, 40%, 50%, 60%, 80%, and 100%. The comparison shows the good agreement between our experimental results and the results in the expressions studied over the wavelength range approximately from 450 to 850 nm. Full Text: PDF ReferencesS. Sharma, P.B. Patel, R.S. Patel, "Density and Comparative Refractive Index Study on Mixing Properties of Binary Liquid Mixtures of Eucalyptol with Hydrocarbons at 303.15, 308.15 and 313.15 K", E-Journal of Chemistry 4(3), 343 (2007). CrossRef A. Gayathri, T. Venugopal, R. Padmanaban, K. Venkatramanan, R. Vijayalakshmi, "A comparative study of experimental and theoretical refractive index of binary liquid mixtures using mathematical methods", IOP Conf. Series: Materials Science and Engineering 390, 012116 (2018). CrossRef A. Jahan, M.A. Alam, M.A.R. Khan, S. Akhtar, "Refractive Indices for the Binary Mixtures of N, N-Dimethylformamide with 2-Butanol and 2-Pentanol at Temperatures 303.15 K, 313.15 K, and 323.15 K", American Journal of Physical Chemistry 7(4), 55 (2018). CrossRef N. An, B. Zhuang, M. Li, Y. Lu, Z. Wang, "Combined Theoretical and Experimental Study of Refractive Indices of Water–Acetonitrile–Salt Systems", J. Phys. Chem. B 119(33), 10701 (2015). CrossRef M. Upadhyay, S.U. Lego, "Refractive Index of Acetone-Water mixture at different concentrations", American International Journal of Research in Science, Technology, Engineering & Mathematics 20(1), 77 (2017). CrossRef T.H. Barnes, K.Matsumoto, T. Eiju, K. Matsuda, N. Ooyama, "Grating interferometer with extremely high stability, suitable for measuring small refractive index changes", Appl. Opt. 30, 745 (1991). CrossRef B. W. Grange, W. H. Stevenson, R. Viskanta, "Refractive index of liquid solutions at low temperatures: an accurate measurement", Applied Optics 15(4), 858 (1976). CrossRef P. Hlubina, "White-light spectral interferometry with the uncompensated Michelson interferometer and the group refractive index dispersion in fused silica", Optics Communications 193(1-6), 1 (2001). CrossRef P. Hlubina, W. Urbanczyk, "Dispersion of the group birefringence of a calcite crystal measured by white-light spectral interferometry", Meas. Sci. Technol. 16(6), 1267 (2005). CrossRef P. Hlubina, D. Ciprian, L. Knyblová, "Direct measurement of dispersion of the group refractive indices of quartz crystal by white-light spectral interferometry", Optics Communications 269(1), 8 (2007). CrossRef S. R. Kachiraju, D. A. Gregory, "Determining the refractive index of liquids using a modified Michelson interferometer", Optics & Laser Technology 44(8), 2361 (2012). CrossRef F. Gladstone, D. Dale, "XXXVI. On the influence of temperature on the refraction of light", Philos. Trans. R. Soc. 148, 887 (1858). CrossRef D.F.J. Arago, J.B. Biot, Mem. Acad. Fr. 15, 7 (1806). CrossRef Kurtz S S and Ward A L J, "The refractivity intercept and the specific refraction equation of Newton. I. development of the refractivity intercept and comparison with specific refraction equations", Franklin Inst. 222, 563-592 (1936). CrossRef K. Moutzouris, M. Papamichael, S. C. Betsis, I. Stavrakas, G. Hloupis, D. Triantis, "Refractive, dispersive and thermo-optic properties of twelve organic solvents in the visible and near-infrared", Appl. Phys. B 116, 617 (2013). CrossRef S. Kedenburg, M. Vieweg, T. Gissibl, H. Giessen, "Linear refractive index and absorption measurements of nonlinear optical liquids in the visible and near-infrared spectral region", Opt. Mater. Express 2(11), 1588 (2012). CrossRef

scholarly journals Practical Feasibility of Arago-Biot and Lorentz-Lorenz Theory Through Variation of Refractive Index of Typical Binary Liquid Mixtures Employing Low-Cost Experimental Setup

2021 ◽  
Vol 12 (3) ◽  
pp. 3762-3779
Keyword(s):  
Refractive Index ◽  
Ethyl Acetate ◽  
Volume Fraction ◽  
Low Cost ◽  
High Standard ◽  
Liquid Mixtures ◽  
Binary Liquid Mixtures ◽  
Lorenz Equation ◽  
Binary Liquid ◽  
Set Up

Optical properties of the solutions comprising of two or more miscible liquids have been of immense interest both in the area of chemical and physical sciences. To date, there are reports on studies regarding different combinations of binary liquid mixtures. However, the experiments involved are either high-ended or using sophisticated instrumentation. Our prime objective is to set up a simple laboratory arrangement to estimate the refractive index of typical binary-liquid mixtures obtained by proportionate variations in combinations selecting from benzene, ethyl acetate, tetrahydrofuran, and water; without involving high-standard instrumentation or expensive laboratory setups. In the present study, we adopted a basic method to determine the refractive index of pure liquids of low polarity, like, benzene (C6H6) and tetrahydrofuran or THF (C4H8O) and of high polarities, such as ethyl acetate or EtOAc or EA (C4H8O2), and water (H2O) and also their binary homogeneous mixture with high accuracy. Our experimental data involving variation of refractive index with molar volume fraction matched very well with theoretical interpretations by Arago-Biot and Lorentz-Lorenz equation. In our results, density corrections have been neglected as we have chosen non-volatile solvents.

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