In the present study, computational quantum chemistry
is used to
obtain lattice energies (LEs) for a range of ionic clusters with the
NaCl structure. Specifically, the compounds include NaF, NaCl, MgO,
MgS, KF, CaO, and CaS clusters, (MX)
n
,
with n = 1, 2, 4, 6, 8, 12, 16, 24, 32, 40, 50, 60,
75, 90, and 108. The highest-level W2 and W1X-2 methods are applied
to the small clusters with n = 1 to 8 (the MX35 data
set). The assessment with MX35 shows that, for the calculation of
geometries and vibrational frequencies, the PBE0-D3(BJ) and PBE-D3(BJ)
DFT methods are reasonable, but the calculation of atomization energies
is more challenging. This is a result of different systematic deviations
for clusters of different species. Thus, species-specific adjustments
are applied for larger clusters, which are calculated with the DuT-D3
double-hybrid DFT method, the MN15 DFT method, and the PM7 semi-empirical
method. They yield smoothly converging LEs to the bulk values. It
is also found that, for the alkali-metal species, the LEs for a single
molecule are ∼70% of the bulk values, while for the alkali-earth
species, they are ∼80%. This has enabled a straightforward
means to the first-principles estimation of LEs for similarly structured
ionic compounds.