F. Deproft et al., AB-INITIO STUDY OF THE ENDOHEDRAL COMPLEXES OF C-60, SI-60, AND GE-60WITH MONOATOMIC IONS - INFLUENCE OF ELECTROSTATIC EFFECTS AND HARDNESS, Journal of physical chemistry, 100(18), 1996, pp. 7440-7448
An ab initio study of endohedral complexes of C-60 and its Si and Ge a
nalogues with first, second, third, and fourth row alkali metal and ha
logen ions is performed using the multiplicative integral approximatio
n and the 3-21 G basis set (3-21+G for the halogen ions). The properti
es of the endohedral ions are studied, and complexation energies are c
alculated using the counterpoise correction for the basis set superpos
ition error. An (approximate) analytical expression for this complexat
ion energy is derived within the framework of density-functional theor
y. The complexation energy sequences are rationalized using this expre
ssion and the properties of the fullerene cages, such as the electrost
atic potential within the cage and the average distance of the electro
ns from the cage center. Besides electrostatic effects, i.e., the inte
raction of the ion with the electrostatic potential within the cage, t
he influence of the cage and guest-ion hardnesses on the stabilization
energies are also investigated: a local hard and soft acids and bases
principle can be invoked to explain the complexation energies within
alkali metal and halogen ion series.