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Excellence in Broadband Dielectric Spectroscopy • Impedance Spectroscopy • Conductivity Spectroscopy

Alpha-A Analyzer

Nonlinear Dielectric, Conductivity, Electrochemical and Impedance Spectroscopy

U/I higher harmonics

With the new Alpha-A series, Novocontrol introduces a turnkey commercial solution for nonlinear dielectric, conductivity, electrochemical and impedance spectroscopy. For this purpose, the Alpha-A mainframe and all test interfaces (except G22) support measurements of the sample voltage and current in terms of DC components, harmonic base waves and higher harmonics up to the interface high frequency limit.

Nonlinear evaluation is fully supported by WinDETA software, which reads and graphically displays all voltage and current base, and higher harmonic components. In addition, other parameters like DC material parameters, linear impedance, permittivity, conductivity and the corresponding higher harmonic terms are processed.

The higher harmonic current components I*n(ω) are calculated by the Alpha analyzer like the base wave (n=1) by complex Fourier Transform from the sampled current i(t), where n denotes harmonic n-1.

formula

Applications in impedance mode are

In gain phase mode, non-sinusoidal signal components in the measured voltages are detected by harmonic analysis.

Important publications

  1. Albert, S., Bauer, T., Michl, M., Biroli, G., Bouchaud, J.P., Loidl, A., Lunkenheimer, P., Tourbot, R., Wiertel-Gasquet, C. & Ladieu, F. 2016. Fifth-order susceptibility unveils growth of thermodynamic amorphous order in glass-formers. Science 352 (2016) 1308. DOI: 10.1126/science.aaf3182
  2. Michl, M., Bauer, T., Lunkenheimer, P. & Loidl, A. 2014. Cooperativity and Heterogeneity in Plastic Crystals Studied by Nonlinear Dielectric Spectroscopy. Phys. Rev. Lett. 114, 067601 (2015) DOI: 10.1103/PhysRevLett.114.067601
  3. Bauer, T., Lunkenheimer, P., Kastner, S. & Loidl, A. 2013. Nonlinear dielectric response at the excess wing of glass-forming liquids. Phys. Rev. Lett. 110:107603. DOI: 10.1103/PhysRevLett.110.107603
  4. Bauer, T., Michl, M., Lunkenheimer, P., Loidl, A., Nonlinear dielectric response of Debye, α and β relaxation in 1- propanol. J. Noncryst. Solids 407:66. DOI: 10.1016/j.jnoncrysol.2014.07.024
  5. Michl, M., Bauer, T., Lunkenheimer, P. & Loidl, A. 2015. Nonlinear dielectric spectroscopy in a fragile plastic crystal. J. Chem. Phys. 144 (2016) 114506 DOI: 10.1063/1.4944394
  6. Casalini, R., Fragiadakis, D. & Roland, C.M. 2015. Dynamic correlation length scales under isochronal conditions. Journal of Chemical Physics 142:064504 DOI: 10.1063/1.4907371