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For questions about systems with a repetitive arrangement of constituents, such as a crystal lattice or Bravais lattice.

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If AlCl3 has such a high lattice energy, why is it so soluble in organic solvents?

AlCl3 is well known to be relatively covalent, but doesn't solubility generally go down as lattice energy increases, (I.e born-haber cycle?)? However it's soluble in many organic solvents