Electrochemical Impedance Calculator

Precise EIS Analysis Tools

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Complex Impedance Calculator

Calculate complex impedance from circuit elements.

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Warburg Impedance Calculator

Calculate Warburg impedance for diffusion processes.

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Phase Angle Calculator

Calculate phase angle and magnitude from impedance components.

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Understanding Electrochemical Impedance Spectroscopy

Basic Principles

Key concepts include:

  • Complex impedance
  • Phase relationships
  • Equivalent circuits
  • Frequency response
  • Data interpretation

Circuit Elements

Common components:

  • Resistors:
    • Solution resistance
    • Charge transfer resistance
  • Capacitors:
    • Double layer capacitance
    • Coating capacitance

Data Analysis

Analysis methods:

  • Nyquist plots
  • Bode plots
  • Equivalent circuit fitting
  • Parameter extraction
  • Model validation

Applications

Common uses include:

  • Corrosion studies
  • Battery analysis
  • Coating evaluation
  • Sensor development
  • Material characterization

Essential EIS Formulas

Complex Impedance

Z = Z' + jZ"

Where:

Z' = Real impedance

Z" = Imaginary impedance

Capacitive Impedance

Zc = 1/(jωC)

Where:

ω = Angular frequency

C = Capacitance

Warburg Impedance

Zw = σω^(-1/2)(1-j)

Where:

σ = Warburg coefficient

ω = Angular frequency