Physics:Born–Mayer equation

From HandWiki

The Born–Mayer equation is an equation that is used to calculate the lattice energy of a crystalline ionic compound. It is a refinement of the Born–Landé equation by using an improved repulsion term.[1]

[math]\displaystyle{ E =- \frac{N_AMz^+z^- e^2 }{4 \pi \epsilon_0 r_0}\left(1-\frac{\rho}{r_0}\right) }[/math]

where:

  • NA = Avogadro constant;
  • M = Madelung constant, relating to the geometry of the crystal;
  • z+ = charge number of cation
  • z = charge number of anion
  • e = elementary charge, 1.6022×10−19 C
  • ε0 = permittivity of free space
    4πε0 = 1.112×10−10 C2/(J·m)
  • r0 = distance to closest ion
  • ρ = a constant dependent on the compressibility of the crystal; 30 pm works well for all alkali metal halides

See also

References