Abstract
A graphical method has been used to evaluate the double relaxation time τ1 and τ2 for rotation of the flexible part and whole molecule of four butyl alcohols in p-xylene under 2.50 GHz (S-Band), 9.313 GHz (X-Band), 16.20 GHz (Ku-Band) and 23.98 GHz (K-Band) electric field at 25 °C using Fröhlich and Debye model. The fixed τ1 and τ2 obtained from graphical method at those frequencies agree well with the reported average τ’s. This reveals τ’s are independent of the electric field frequencies signifying the material properties of chemical systems in identical environment. This method is making no approximation, and the infinite number of solutions clearly shows that observation at one single frequency is not sufficient to determine the correct values of τ1 and τ2. The dipole moments µ1 and µ2 are measured at all the frequencies in terms of graphically obtained τ1 and τ2 and reported τ. Estimated penetration depth indicates development of a new simple and rapid sensor for determination of alcohol concentration.
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References
L S Anderson, G B Gujda and S S Stuchly IEEE Trans. Instr. & Measur.35 13 (1986)
YZ Wei and S Sridhar J. Chem. Phys. 99 3119 (1993)
W Guo, X Zhu, Y Liu and H Zhuang J. Food. Eng.97 275 (2010)
K Grzybowska, S Capaccioli and M Paluch Adv. Drug. Deliv. Rev.100 158 (2016)
A Algeria and J Colmenero Soft. Matter12 7709 (2016)
N Saylanmak, A I Nielsen, N B Olsen, J C Dyre and K Niss J. Chem. Phys132 1 (2010)
K Asami Prog. Poly. Sci.27 1617 (2002)
H Kim, J Kim and Y Eo IEEE. Trans. Microwave. Theory & Techs64 931 (2016)
M Y Onimisi and J T Ikyumbur Am. J. Condens. Matter. Phys.5 69 (2015)
Z Hogga, N Merzouk and M M Hafid, Bio Ceram. Dev. Appl.6 1 (2016)
S O Nelson Res. Agric. Eng.54 104 (2008)
X Qi, J Zhou, Z Yue, Z Gui, L Li and S Buddhudu Adv. Funct. Mater.14 920 (2004)
D E Khaled, N Novas, J A Gazaquez, R M Garcia and F M Agugliaro, Renew. Sustain. Energy Rev.66 556 (2016)
T Vishwam, V Subramanian, D V Subbiah and V R K Murthy Mol. Phys. 106 95 (2008)
P Debye, Chemical Catalogue (1929)
H Frohliich, Theory of Dielectrics (Oxford: Oxford University Press) (1949)
J Crossley Can. J. Chem.49 712 (1971)
A Mansingh and P Kumar J. Phys. Chem.69 4197 (1965)
S Sahoo and S K Sit Ind. J. Pure Appl. Phys55 207 (2017)
A K Bansal, P J Singh and K S Sharma Ind. J. Pure Appl. Phys. 39 329 (2001)
S Sahoo and S K Sit Pramana. J. Phys.88 1 (2017)
A K Jonscher, J. Mater. Sci.16 2037 (1981)
S Sahoo and S K Sit Mater. Sci. Eng. B 163 31(2009).
S Sahoo, T R Middya and S K Sit Indian J. Pure Appl. Phys.53 725 (2015)
M B R Murthy, R L Patil and D K Deshpande Indian J. Phys.63B 491 (1989)
S Sahoo and S K Sit, Can. J. Phys.94 1 (2016)
A R Von Hippel Dielectric Properties and Waves (New York: Willey) (1954)
K Dutta, A Karmakar, S K Sit and S Acharyya, J. Mol. Phys.128 161(2006)
N Ghosh, A Karmakar, S K Sit and S Acharyya Indian J. Pure Appl. Phys.38 574 (2000)
J Rumble, Hand book of Chemistry and Physics, 58 edn. (C.R.C Press) (1977)
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Sahoo, S. Investigation of dielectric relaxation in dipolar liquids. Indian J Phys 94, 17–29 (2020). https://doi.org/10.1007/s12648-019-01437-3
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DOI: https://doi.org/10.1007/s12648-019-01437-3