Determine the lattice enthalpy of calcium bromide, assuming the bonding is purely ionic. Use sections 9 and 12 of the data booklet and the following data: Enthalpy of formation of calcium bromide = -648 \( kJ~mol^{-1} \), Second ionization energy of calcium = +1145 \( kJ~mol^{-1} \), Enthalpy of atomization of calcium = +178 \( kJ~mol^{-1} \), Enthalpy of vaporization of \( Br_{2}(l) \) = +31 \( kJ~mol^{-1} \).