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Homework Statement
The potential energy "V" of NaCl can be described empirically by:
V = -(e2/(4*Pi*epsilon)) + A*exp[-R/rho]
where R is the internuclear separation. The equilibrium separation of the nuclei Ro is 2.4 Angstroms and the dissociation energy is 3.6 eV.
a) Calculate A and rho/Ro, neglecting zero-point vibrations.
b) Sketch V and each of the terms in V on one graph.
c) Give the physical significance of A and rho.
Homework Equations
Electrostatic Potential: V = V = -(e2/(4*Pi*epsilon))
The Attempt at a Solution
I found the uncorrected electrostatic potential to be -6 eV, so I plugged that in and found the following:
2.4 = A*exp[-2.4*10-10/Rho]
The chapter talked about A and rho for the photon and phonon gas, but I'm not sure how to apply it to NaCl. Do I have to find the degeneracy of states for Sodium, Chlorine and then somehow combine the two? Thanks.
By the way: This is problem 4 in Chapter 12 of Eisberg-Resnick "Quantum Physics of Atoms-Molecules-Nuclei-Particles"
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