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In a simple binary ionic salt, $MX$, each individual $M^+$ cation is electrostatically bound to EVERY OTHER $X^-$ anion in the lattice. Of course, it is also electrostatically REPELLED by every other $M^+$ in the lattice, but if you sum up attractive versus repulsive electrostatic interactions across the entire lattice, which can certainly be done quantitatively, a net attractive force results that binds the lattice together.

The result? Ionic solids TEND to be high-melting, non-molecular materials, which display (some) solubility in polar solvents that are capable of separating positive and negative charge.

On a microscopic level, the structure of ionic compounds are highly ordered, and feature interpenetrating arrays of cations and anions that are close-packed together.

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