Final answer:
The Born-Haber cycle for CaF2 involves sublimation of calcium, dissociation of F2, ionization of calcium, electron affinity of fluorine, and the lattice formation of CaF2. Each step in the cycle has an associated energy value that contributes to the overall enthalpy change.
Step-by-step explanation:
The Born-Haber cycle is a sequence of hypothetical steps that represents the formation of an ionic solid from its constituent elements. For the formation of CaF2, the cycle would involve the following steps:
- Sublimation of solid calcium (Ca(s) to Ca(g)) - where you would need the sublimation energy.
- Dissociation of F2 gas into individual fluorine atoms (F2(g) to 2F(g)) - requiring the bond dissociation energy.
- Ionization of gaseous calcium to form Ca2+ ions (Ca(g) to Ca2+(g) + 2e-) - corresponding to the first and second ionization energies.
- Gain of electrons by fluorine atoms to form F- ions (F(g) + e- to F-(g)) - known as electron affinity.
- The formation of CaF2 from gaseous ions - the lattice energy.
Each of these steps has an associated energy change, and the sum of these changes gives the overall enthalpy change for the formation of CaF2. The quantities mentioned are those that would need to be looked up to complete a quantitative energy analysis, although the values are not provided in this response.