Statement from Electricity and Magnetism (Edward Purcell):
$$U = −0.8738Ne^2 /4π\epsilon_0 a$$ The negative sign shows that work would have to be done to take the crystal apart into ions. In other words, the electrical energy helps to explain the cohesion of the crystal. If this were the whole story, however, the crystal would collapse, for the potential energy of the charge distribution is obviously lowered by shrinking all the distances. We meet here again the familiar dilemma of classical – that is, nonquantum – physics. No system of stationary particles can be in stable equilibrium, according to classical laws, under the action of electrical forces alone.
This explanation was based on the crystal lattice of Nacl.
I'm very new to this. What is the dilemma?
In my guess the dilemma is that the ions in NaCl are in static equilibrium due to electrostatics forces alone, which contradicts with theory in the classical physics mentioned in the text. Am I right in thinking so?