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Fig. 4.10 Energy profile (in kcal mol 1 ) corresponding to the Diels-Alder reaction of C 60 with
cyclopentadiene computed at B3LYP/6-31G(d) (represented in orange and continuous line ),
B3LYP-D/6-31G(d) (in orange , discontinuous line ), ONIOM2(B3LYP/6-31G(d):SVWN/STO-3G)
(in blue , continuous line ), ONIOM2-D(B3LYP/6-31G(d):SVWN/STO-3G) (in blue , discontinuous
line ) and ONIOM2(M06-2X/6-31G(d):SVWN/STO-3G) (in cyan , continuous line ). Comparison
between the reaction energies H R and activation barriers H (in kcal mol 1 . H corresponds to
the activation barrier calculated with respect to isolated reactants (i.e H TS
(H C60
H diene )) whereas
+
H I is referred to the optimized reactant complex (i.e H TS
H int ). The difference between the
computed energies and the experimental values is also indicated (the experimental reaction energy
is
2.2 kcal mol 1 and the activation barrier is 6.9 kcal mol 1 ). In parentheses are given
the relative enthalpies including solvent effects (PCM and toluene as the solvent)
19.8
±
indicate that inclusion of dispersion corrections is compulsory to accurately repro-
duce the experimental reaction and activation energies for the study of the chemical
reactivity of fullerenes and nanotubes.
4.3.2
The Diels-Alder Regioselectivity and Different
Product Stability of La@C 2v -C 82
(1,2,3,4,5-Pentamethyl)cyclopentadiene
In the DA addition of cyclopentadiene (Cp) on La@ C 2v -C 82 the attack of Cp on
bond 19 (see Fig. 4.11 a) was proposed to be the major product of the reaction
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