Chapter 16: Poisson-Boltzmann Theory

Question 1

Poisson Equation and Boltzmann Distribution

Answer 1

Question 2

Poisson-Boltzmann Equation

Answer 2

combine Boltzmann Distribution and Poisson Equation

Question 3

Debye-Hückel Equation

Answer 3

Linearized approximation of PB equation for highT and low valency (i.e. z_i)

• Assumptions:
  
  • point charges
  • “thermodynamic” nu,ber of ions

Question 4

Debye-Hückel Potential

Answer 4

potential for solvent ions clouding around colloid

• short-range:
  
  • Coulomb potential
• long-range:
  
  • solvent ions screen charge of colloid