Diffusion Impedance in a Thin Layer Cell

In electrochemistry, a thin layer cell is a device used to perform analytical microanalysis within a thin electrolyte layer. This Demonstration shows the electrochemical diffusion impedance in a thin layer cell. On the left, the configuration of a thin layer cell is shown; the blue plate is the large working electrode, separated from the insulating substrate (green plate) by a distance (m). On the right, the electrochemical impedance is shown in a Nyquist diagram.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


For a thin layer cell of thickness and the insulating substrate (a boundary impermeable to the diffusing species at the substrate), the diffusion impedance is given [1]:
is the frequency of the impedance perturbation,
is the scaling factor,
is the electrolyte film thickness,
is the diffusion coefficient,
is the imaginary unit.
This Demonstration shows that when the electrolyte film thickness is larger than about 100 m, the diffusional impedance behaves like a Warburg impedance (Snapshot 4). For smaller , however, the impedance at high frequency maintains Warburg behavior, but at low frequencies, it changes to resemble a capacitive impedance (Snapshots 1–3).
[1] T. Jacobsen and K. West, "Diffusion Impedance in Planar, Cylindrical and Spherical Symmetry," Electrochimica Acta, 40, 1995 pp. 255–262.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2018 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+