The cohesive energy of a sodium chloride crystal is 6eV per ion pair. The ionization energy of Na is 5eV and the electron affinity of Cl is 3.75eV. Neglecting the energy of repulsion, estimate the interionic spacing. (The electron affinity of Cl is the binding energy of the last electron of Cl?).
Adding all the three, E + 3.75 - 5 = 6 ; E = 7.25 eV
Let the inter ionic spacing be d. and (since repulsion is neglected)
This potential energy = k*q1*q2/d ; where q1 and q2 are charges on the two ions , each equal to 1e in this case.
7.25 * 1.6*10^-19 = k*e*e/d
d = 1/[7.25/(k*e)] = 1.986 * 10^-10 m = 2 Angstrom
The cohesive energy of a sodium chloride crystal is 6eV per ion pair. The ionization energy...
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For an Na^+ --Cl^- ion pair, attractive and repulsive energies E_A and E_R, respectively depend on the distance between the ions r, according to E_A = - 1.436/r E_R = 7.32 times 10^-6/r^6 For these expression, energies are expressed in electron volts per Na^+ --Cl^- pair, and r is the distance in nanometers (nm). The net energy E_N is just the sum of the two expressions above. Determine the equilibrium spacing r_0 between the Na^+ and Cl^- Ions. 0) 0.68...
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