How should I calculate conductivity

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Discussion Overview

The discussion revolves around calculating conductivity from impedance spectroscopy data, specifically focusing on the use of imaginary and real components of impedance (Z(im) and Z(Real)). Participants explore the implications of frequency data and phase information in determining conductivity, particularly for a perovskite material at a specific temperature.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant suggests using the formula $$\frac{1}{\sqrt{R_{Im}^2+R_{Re}^2}}$$ to calculate conductivity.
  • Another participant questions the importance of phase information in the context of the data being gathered.
  • A participant provides context about their experiment, stating they have frequency data from 1 MHz to 1 Hz and are working with perovskite material, needing to calculate ionic conductivity.
  • Concerns are raised about the large range of conductivity data obtained from varying frequencies and the challenge of determining a single value at a specific temperature.
  • There is a suggestion that calculating an average conductivity might not be appropriate and that phase information could help identify the most relevant value.
  • Questions are posed regarding the purpose of measuring conductivity over a wide frequency range and the specific application of the results.

Areas of Agreement / Disagreement

Participants express varying opinions on the best approach to calculate conductivity, with no consensus reached on the use of phase information or the appropriateness of averaging multiple conductivity values.

Contextual Notes

The discussion highlights limitations in the assumptions made about the relevance of phase information and the implications of using a wide frequency range for conductivity measurements.

emma
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Hello, I would like to ask if I have this data from impedance spectroscopy: frequency, Z(im), Z(Real), how should I calculate conductivity ? Should I use R(im) or R(re)?
 
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I think it is: $$\frac{1}{\sqrt{R_{Im}^2+R_{Re}^2}}$$
 
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emma said:
Hello, I would like to ask if I have this data from impedance spectroscopy: frequency, Z(im), Z(Real), how should I calculate conductivity ? Should I use R(im) or R(re)?
Welcome to the PF. :smile:

What is the context of your question? You may be able to calculate and use just the magnitude as @Replusz shows, but the phase information may also be important, depending on what exactly you are gathering this data for...
 
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Thank you for your answers :) Well, I have r(im) and r(re) and frequency values and i need to calculate elements conductivity in particular temperature. Could you tell me more about how phase can be important?
 
Please tell us more about this experiment. What is the purpose? What is the material? What frequency range are you testing over? What do you plan to do with the results? The more you can tell us, the easier it is to help you. :smile:
 
Frequency is from 1MHz to 1 Hz, material is perovskite. Ionic conductivity has to be calculated from sigma=L/R*A(where L- distance between electrodes, A- cross section area, R- resistivity). :) Problem is that there is whole range of data of frequency and R'', R' values so i get a lot of conductivity data. And I just need one value in particular temperature. I suppose it is quite stupid (or not) to calculate average. So maybe phase can determine which value do i need?
 
emma said:
Frequency is from 1MHz to 1 Hz, material is perovskite. Ionic conductivity has to be calculated from sigma=L/R*A(where L- distance between electrodes, A- cross section area, R- resistivity). :) Problem is that there is whole range of data of frequency and R'', R' values so i get a lot of conductivity data. And I just need one value in particular temperature. I suppose it is quite stupid (or not) to calculate average. So maybe phase can determine which value do i need?
Why do you need the conductivity measured over that wide frequency range? What is the application? Why not just measure it at the single frequency of interest?
 

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