• Investigation of dielectric relaxation in tributyl phosphate from susceptibility and conductivity measurement under microwave field

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    • Keywords


      Dielectric relaxation; relaxation time; susceptibility; conductivity; dipole moment; penetration depth.

    • Abstract


      Susceptibility (${\chi}$$_{ij}$’s) and conductivity (${\sigma}$$_{ij}$’s) measurement techniques are proposed to determine dielectric behaviour in terms of relaxation time ${\tau}$ and dipole moment ${\mu}$ of tributyl phosphate (TBP, $j$) dissolved in various non-polar solvent ($i$) ($p$-xylene, cyclohexane and $n$-heptane) under S-band, C-band, X-band and Ku-band microwave field at different temperatures (25, 30 and 35$^{\circ}$C) within Debye’s dielectric model. The possibility of double relaxation times(${\tau}$$_2$ and ${\tau}$$_1$) for inter- and intra-molecular rotation of the polar molecule TBP is predicted from measured data of ${\chi}$'$_{ij}$ (= ${\varepsilon}$'$_{ij}$-${\varepsilon}_{\infty}{ij}$), ${\chi}$"$_{ij}$ (= ${\varepsilon}$"$_{ij}$) and ${\chi}$$_{0ij}$ (= ${\varepsilon}$$_{0ij}$ – ${\varepsilon}$$_{\infty}{ij}$) at different weight fractions w$_j$’s of solute, applying slope and intercept of $\frac{{\chi}_{0ij} - {\chi}'_{ij}}{{\chi}'_{ij}}$against $\frac{{\chi}"_{ij}}{{\chi}'_{ij}}$ linear equation to confirm mono relaxation behaviour ${\tau}$$_2$ only. ${\tau}$ ’s are measured from individual variation of real and imaginary parts of ${\chi}$$_{ij}$ and ${\sigma}$$_{ij}$ with w$_j$’s as well as linear relation of imaginary against real. The dipole moments ${\mu}$$_j$’s are measured from both the measurement techniques under S-band (3.2 GHz), C-band (6.8 GHz),X-band (11.2 GHz) and Ku-band (16.5 GHz) microwave field at 25, 30 and 35$^{\circ}$C temperatures. Various molecular associations are determined in terms of relaxation time ${\tau}$ and dipole moment ${\mu}$ in polar–non-polar liquid mixture.Thermodynamic energy parameters are also calculated from Eyring rate theory to predict molecular dynamics or natureof molecular environment surrounding the polar molecule TBP. Debye relaxation mechanism in all the systems under observation is validated by the estimated Debye factor from both the measurement methods. A new simple microwave sensor is proposed to design for determination of TBP concentration from measured penetration depth at different temperatures under microwave field.

    • Author Affiliations



      1. Department of Electronics and Instrumentation Engineering, National Institute of Technology Silchar, Silchar 788010, India
      2. Department of Physics, Dr. Meghnad Saha Institute of Technology, Haldia 721657, India
      3. Department of Electronics and Communication Engineering, National Institute of Technology Jamshedpur, Jamshedpur 831014, India
    • Dates

  • Bulletin of Materials Science | News

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      Posted on July 25, 2019

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