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
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