The water dimer encapsulations into D 2 (22)-C 84 and D 2d (23)-C 84 fullerenes are evaluated. The encapsulation energy is computed at the M06-2X/6-31++G** level and it is found that the energy gain upon encapsulation into the D 2 (22)-C 84 and D 2d (23)-C 84 cages is −17.37 and −15.48 kcal/mol, respectively. Encapsulation equilibrium constants are computed using partitions functions based on the M06-2X/6-31++G** molecular data. The yield for (H 2 O) 2 @D 2 (22)-C 84 is higher than for (H 2 O) 2 @D 2d (23)-C 84 , however, the yield ratio decreases with increasing temperature and for high temperatures is close to 2:1. The M06-2X/6-31++G** computed rotational constants are presented for a possible use in detection of the water-dimer endohedrals by rotational spectroscopy in laboratory or interstellar space. The very recent production of C 70 with encapsulated water dimer 1 represents a further example of fullerene endohedrals prepared 2-5 via organic synthesis. Moreover, it offers a stabilized, conserved water dimer (though influenced by the carbon cage) that can be used for various spectral characterizations of the prototype hydrogen-bonded aggregate. It also represents an interesting observed species for further computational studies, this experiment-theory symbiosis being always quite common 6,7 in fullerene science, even in its prehistoric times 8,9 before the C 60 breakthrough observation 10 in 1985. In addition to the water 1,2,5 and hydrogen molecule 3,4 containing endohedrals, also encapsulations of other non-metal species inside the fullerene cages have been studied, for example atomic 11-15 and molecular 16,17 nitrogen. Endohedrals with rare gas atoms, in particular with He, were produced using 18,19 high temperatures (650 o C), high pressures (3000 atm) and a catalyst. Such fullerene encapsulations of non-metals have been computed, [20][21][22][23][24][25] too. This paper continues in the research line with calculations on two C 84 endohedrals containing encapsulated water dimer. [36][37][38] in saturated water vapor increases with increasing temperature. It may be a surprising result but in fact it can easily be rationalized. While the equilibrium constant for the dimer formation decreases with temperature, the saturated pressure increases and actually grows faster. 39 The water dimer formation is described by the usual dimerization equilibrium constant K p,2 in terms of the partial pressures of the components:
CalculationsIn fact, the recent evaluation 40 of the water dimerization constant (G3&MP2/AUG-cc-pVQZ level) reaches nearly perfect agreement with the available experimental data.The dimeric-water encapsulations into both C 84 cages (Figure 1) are similarly described by the encapsulation equilibrium constants K p,enc,i :The relative yields of both encapsulates (here represented by the ratio of their partial pressures p -see Eq. 4) can actually be estimated using the ratio of equilibrium constants (2) and (3), especially if the starting amount of both empty fullerenes (or more precisely, their am...