Electrochemical Lab
Manual Equations

  • Anson Equation
    • Electrochemistry Equations - Anson Equation
    • Q is charge (C)
    • n is number of electrons transferred
    • F is Faraday’s Constant (96,485.3 C/mol)
    • A is surface area of the working electrode (cm2)
    • C0 is initial concentration of the analyte (mol/cm3)
    • D is diffusion coefficient of the analyte (cm2/s)
    • t is time (s)

     

  • Corrosion Rate
    • Electrochemistry equations: Corrosion Rate
    • CR is corrosion rate in milli-inches per year (mpy)
    • Icorr is corrosion current (A)
    • K is constant that defines the units for corrosion (1.288 x 105 milli-inches/A·cm·year)
    • EW is equivalent weight (g/equivalent)
    • d is density (g/cm3)
    • A is area of the electrode (cm2)

     

  • Cottrell Equation
    • Electrochemistry Equations: cottrell equation
    • i is current (A)
    • n is number of electrons transferred
    • F is Faraday’s Constant (96,485.3 C/mol)
    • A is surface area of the working electrode (cm2)
    • C0 is initial concentration of the analyte (mol/cm3)
    • D is diffusion coefficient of the analyte (cm2/s)
    • t is time (s)

     

  • Diffusion Layer Thickness
    • Electrochemical Equations: Diffusion Layer Thickness
    • l is distance (cm)
    • D is diffusion coefficient of the analyte (cm2/s)
    • t is time (s)

     

  • Faraday’s Law of Electrolysis
    • Electrochemistry Equations: Faraday’s Law of Electrolysis
    • m is mass (g)
    • Q is charge (C)
    • M is molar mass (g/mol)
    • F is Faraday’s Constant (96,485.3 C/mol)
    • z is valance number

     

  • Fick’s First Law of Diffusion
    • Electromical Equations: Fick’s First Law of Diffusion
    • J is diffusional flux (mol/m2s)
    • D is diffusion coefficient of the analyte (m2/s)
    • \varphi is concentration (mol/m3)
    • x is position (m)
    • Fick’s First Law of Diffusion
    • id is diffusion limited current (A)
    • n is the number of electrons transferred
    • F is Faraday’s Constant (96,485.3 C/mol)
    • A is surface area of the working electrode (cm2)
    • D is diffusion coefficient of the analyte (cm2/s)
    • (dC/dx)0 is concentration gradient at the surface of the electrode

     

  • Formal Peak Potential
    • Electrochemistry Equations: Formal Peak Potential
    • Eo is the formal potential of the analyte
    • Epc is the cathodic peak potential
    • Epa is the anodic peak potential

     

  • Levich Equation
    • Electrochemical Equations: Levich Equation
    • iL is Levich current (A)
    • n is the number of electrons transferred
    • F is Faraday’s Constant (96,485.3 C/mol)
    • A is surface area of the working electrode (cm2)
    • D is diffusion coefficient of the analyte (cm2/s)
    • \varpi is the angular rotation rate of the electrode (rad/s)
    • ν is the kinematic viscosity (cm2/s)
    • C is concentration of the analyte (mol/cm3)

     

  • Nernst Equation
    •  Electrochemistry Equations: Nernst Equation
    •  Electrochemical equations: Nernst Equation
    • E is cell potential at the temperature of interest
    • Eo is the standard cell potential
    • R is the Molar Gas Constant (8.31446 J/mol•K)
    • T is temperature (K)
    • n is number of electrons transferred
    • F is Faraday’s Constant (96,485.3 C/mol)
    • Q is the reaction quotient

     

  • Ohm’s Law
    • Electrochemistry Equations: Ohm’s Law
    • R is resistance
    • E is applied potential
    • I is applied current

     

  • Peak-to-peak separation for reversible reaction
    • Electrochemistry equations: Peak-to-peak separation for reversible reaction
    • n is the number of electrons transferred
    • \Delta Epeak is the different between the cathodic and anodic peak potentials

     

  • Randles – Sevcik equation
    • Electrochemistry equations: Randles – Sevcik equation
    •  Electrochemical equations: Randles – Sevcik equation
    • n is the number of electrons transferred
    • F is Faraday’s Constant (96,485.3 C/mol)
    • A is surface area of the working electrode (cm2)
    • D is diffusion coefficient of the analyte (cm2/s)
    • R is the Molar Gas Constant (8.31446 J/mol•K)
    • T is temperature (K)

     

  • Ratio of peak heights for a reversible reaction
    • Electrochemistry Equations: Ratio of peak heights for a reversible reaction
    • ipc is cathodic peak current
    • ipa is anodic peak current

     

  • Steady-State Current at a Microelectrode
    •  Electrochemistry Equations: Steady-State Current at a Microelectrode
    • I is steady-state current (A)
    • n is the number of electrons transferred
    • F is Faraday’s Constant (96,485.3 C/mol)
    • D is diffusion coefficient of the analyte (cm2/s)
    • Cb is analyte concentration (mol/cm3)
    • r0 is radius of the electrode (cm)

     

  • Stern Geary Equation
    • Electrochemical Equations: Stern Geary Equation
    • Icorr is corrosion current (A),
    • Rp is polarization resistance
    • βa is anodic Tafel constant
    • βc is cathodic Tafel constant