Introduction to Electrochemical Impedance Spectroscopy (EIS: Maths and Theory)

Lecture deliver as part of a series from the Electrochemistry Network for graduates at Imperial College London (17/02/2021).

Dr Sam Cooper - https://www.imperial.ac.uk/people/sam...

If you enjoy this style of teaching, try my Mathematics for Machine Learning specialization on Coursera:
https://www.coursera.org/specializati...

Follow me on twitter:
  / camsooper  
And the tldr group:
  / tldr_group  
https://github.com/tldr-group

Slides: https://www.dropbox.com/s/2dxnssou0gz...

00:00 - Introduction
01:53 - Linearity
04:23 - The classic idealised components: L, R and C
07:49 - Hydraulic & mechanical analogies for circuits
16:59 - Scenario #1 : Just a resistor
19:12 - Scenario #2 : Just a capacitor (take 1)
21:28 - The big muddle and Fourier transform
27:00 - Scenario #2 : Just a capacitor (take 2)
30:21 - Scenario #2 : Just a capacitor (take 3)
33:09 - Scenario #3 : R and C in series
36:02 - Convenient representation
38:31 - Parallel circuits
41:59 - Scenario #4 : R and C in parallel
46:49 - Question on potentiostats
51:32 - Nyquist plots
54:14 - Nyquist plot of a resistor
55:48 - Nyquist plot of a capacitor
58:29 - Nyquist plot of an inductor
59:45 - Nyquist plot of series RC
1:04:12 - Nyquist plot of parallel RC
1:13:25 - The simplest complicated system
1:23:12 - The simplest complicated system animation!
1:24:41 - Constant Phase Elements (CPEs)
1:32:33 - Distribution of relaxation times (DRT)
1:33:57 - Warburg and DRT equivalence to infinite series
1:35:59 - Gerischer elements
1:36:50 - Simple equivalences of parallel RC to R or C
1:38:31 - My research #1 : Diffusion impedance
1:39:57 - My research #2 : The electrode tortuosity factor
1:40:38 - Copper or "copper"?
1:40:59 - Symmetrical cells are tricky!
1:41:43 - Goodbye :-)