Topic 15 min read   # What is EIS ? (Electrochemistry Basics Series)

Latest updated: November 19, 2021

Electrochemical Impedance Spectroscopy (EIS) is a powerful tool enabling the study of processes that occur at the interface of an electrode.

In EIS a periodic signal is applied in current or voltage at several frequencies. The periodic signal is traditionally built with a sinus. The transfer function H of the system is defined as:

$H(s) = \dfrac{\text{ℒ[Output(}t\text{)}]}{\text{ℒ[Input(}t\text{)}]}$ (1)

ℒ  being the Laplace transform

Measurements as a function of the frequency of the perturbation give an impedance, Z,  (or admittance) diagram. The impedance is given in Ohm as it is the ratio of the voltage vs. the current and is a complex number.

To be valid, the system under study has to be:

• Linear: The response (output) of the cell has to be directly proportional to the input. The small perturbation of the electrode state has the advantage that the solutions of relevant mathematical equations used are transformed in linear forms.
• Time invariant: The state of the cell must not change during the measurements.
• Causal: The output has to be correlated directly with the input.

The modulus Z and phase Phi are the parameters of interest, so the impedance data can be plotted in Bode plot (Z and Phi vs frequency), but in electrochemistry, the most common plot is the Nyquist plot -Im(Z) vs Re(Z). As the periodical perturbation is performed at several frequencies, Electrochemical Impedance Spectroscopy (EIS) is capable of characterizing processes that have different time constants i.e. fast process at high frequency (> 10 kHz) and low process such as diffusion at low frequencies (<100 mHz).

Tutorial I:  Background

## Powerful and sensitive

• Powerful: Electrochemical impedance spectroscopy (EIS) is used to study a wide variety of systems in many fields of electrochemistry such as electrode kinetics, double-layer studies, batteries, corrosion, solid-state electrochemistry, bioelectrochemistry, photovoltaic systems.

Tutorial II: Corrosion

Tutorial III: Battery testing

• Sensitive: It can measure tiny signals, so as with all sensitive techniques, certain precautions should be considered with EIS.

Tutorial IV: Experimental conditions

## How to interpret EIS data

To interpret EIS data, it is common to make an analogy between the experimental data and an equivalent circuit made of capacitor, resistor, inductance and element that mimic diffusion processes, which depends on the electrode reactions. The elements used to build the equivalent circuit have to have a physical meaning.

An EIS data modeling tool is required to be able to withdraw the value of the element of the equivalent circuit.

Below how it looks like in BioLogic EC-Lab software to select the appropriate equivalent circuit: For more information on the BioLogic EIS modeling tool (ZFit), please have a look at the videos below:

EIS electrochemical impedance spectroscopy transfer function

## Related products

Bio-Logic is a leader in Electrochemical Impedance Spectroscopy (EIS). Bio-Logic contributed to put EIS within every researcher's reach, by making it available on all its potentiostats and battery cyclers. Bio-Logic provides built-in EIS to make it easy and smooth for the user to mix DC and AC techniques. Electrochemical Impedance Spectroscopy (EIS) measurements can be made in both controlled potential and controlled current modes from 10 μHz to 7 MHz. The patented “drift correction” algorithm and multiple stability parameters allow users to acquire high quality data from their EIS measurements. BioLogic EIS-capable battery cyclers provide EIS over a frequency range from 10 kHz to 10 mHz for accurate and fast determination of the battery internal resistance on every channel.

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