Ion Mobility Calculator

Calculate Ionic Transport Properties in Solutions

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Ion Mobility Calculator

Calculate ion mobility from conductivity and solution properties.

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Diffusion Coefficient Calculator

Calculate diffusion coefficients using the Nernst-Einstein relation.

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Transport Number Calculator

Calculate transport numbers and ionic contributions.

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Understanding Ion Mobility

Basic Principles

Key concepts include:

  • Ionic conductivity
  • Electric field effects
  • Diffusion processes
  • Solution properties
  • Ion-solvent interactions

Applications

Common uses:

  • Electrochemistry
  • Battery design
  • Membrane science
  • Analytical chemistry
  • Materials research

Advanced Concepts

Important considerations:

  • Activity coefficients
  • Ion pairing
  • Concentration effects
  • Temperature dependence
  • Solvent effects

System Variables

Key factors:

  • Ion size
  • Solution viscosity
  • Dielectric constant
  • Ionic strength
  • Temperature

Essential Ion Mobility Formulas

Ion Mobility

μ = λ/(zF)

λ = κ/c

Diffusion Coefficient

D = μkT/ze

D = kT/(6πηr)

Transport Number

t₊ = λ₊/(λ₊ + λ₋)

t₋ = 1 - t₊