513.001 Molecular and Solid State Physics

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Ionic binding

A crystal has the crystal structure of NaCl but the positive ions have a charge of +2e and the negative ions have a charge of -2e. The repulsive part of the bond potential is described by the same parameters as for NaCl: ρ = 0.321 Å, zλ = 1.05×10-8 erg.

(a) What is the expression for the total energy?

(b) Calculate the equilibrium distance to the nearest neighbors.

(c) Calculate the effective spring constant of a single bond.