of the monocation 7a, derived from the electron-rich substrate
(5a) bearing dimethoxy groups on the benzene ring, through
the transition state TS3 (Figure 1) is 25.8 kcal/mol,10 much
smaller than that of the monocationic cyclization of the
inactivated case (TS1).11 The enthalpy of activation of the
cyclization of the dication 4a, the N-protonated form of the
monocation 3a, is calculated to be 9.2 kcal/mol (TS2).12
These differences of activation barriers are consistent with
the observation that the cyclization of N-benzylidene-2-
phenethylamine (1a) requires a strong acid (TFSA) while
the corresponding cyclization of N-benzylidene-2-(3′,4′-
dimethoxy)phenethylamine (5a) is catalyzed by TFA.
The activation energy for the cyclization of 1a in TFSA
was evaluated experimentally from the rate constants of the
cyclization at three different temperatures. The enthalpy of
activation (∆Hq) of the cyclization of 1a in TFSA was found
to be 17.7 kcal/mol.6 Other experimentally evaluated en-
thalpies of activation (∆Hq) are 11.5 kcal/mol (N-p-meth-
ylbenzylidene-2-phenethylamine) and 18.0 kcal/mol (N-p-
chlorobenzylidene-2-phenethylamine 8a), respectively. Thus,
these values are consistent with the calculated enthalpy of
activation of the dicationic cyclization of 4a (9.2 kcal/mol),
rather than that of the monocationic cyclization of 3a (32.0
kcal/mol). The transition-state structures of the monocationic
and dicationic cyclizations are significantly different, par-
ticularly in the distances of the forming C-C bond: TS1,
1.930 Å; TS2, 2.327 Å; TS3, 1.931 Å. Thus, the structural
distortion in the dicationic cyclization (TS2) is less pro-
gressed than in the monocationic cyclization (TS1). The
transition structure (TS3) of the monocationic cyclization
of the electron-rich substrate is more distorted as compared
with that (TS1) of the unreactive substrate. The magnitudes
of the out-of-plane angle of the aromatic hydrogen atoms at
the reaction center, i.e., the angle between the C-H bond
and the aromatic plane, supported this trend (Figure 1).13
The out-of-plane angle of the aromatic bending hydrogen
atom of TS3 is 31.9° and that of TS1 is 15.7°, which is
comparable to that of dicationic TS2 (15.6°). However,
generally the magnitudes of the structural changes, particu-
larly the forming C-C bond lengths in the TSs, are consistent
with the height of the activation barriers: the earlier a
transition structure is, the less endothermic the activation
barrier is.
The present computational results are consistent with the
postulated involvement of the dicationic reactive species (4a)
in the superacid-catalyzed reactions of the N-benzylidene-
2-phenethylamine (1a).
Scheme 2. Stereoselectivity of the Cyclization
Our interest focus was next directed to the experimental
differences between the dicationic and monocationic mech-
anisms, apart from substituent effects of the cyclizing
aromatic rings, which may be reflected in the magnitude of
the stereoselectivity at the stereogenic center of the cycliza-
tion. There is little knowledge about the stereoselectivity of
superacid-catalyzed Pictet-Spengler reactions. Thus, we
studied here the stereoselectivity of the superacid-catalyzed
cyclizations of 1-substituted and 2-substituted N-benzylidene-
2-arylethylamines (Scheme 2).
While the cyclization of 2-alkyl-substituted N-benzylidene-
2-phenethylamine 1b-d (as well as 1a) did not proceed at
all in TFA, the cyclization proceeded in TFSA and gave a
mixture of trans and cis isomers of the tetrahydroisoquino-
lines. These cyclization reactions were stereoselective, and
the trans isomer (2b-d) is predominant over the cis isomer
(2′b-d). The ratios are consistent among methyl (1b; trans/
cis 88:12), ethyl (1c; 81:19) and n-butyl (1d; 82:18) groups
as the R2 substituent (Table 1). Acid-catalyzed isomerization
of cis-1,3-disubstituted 1,2,3,4-tetrahydro-â-carbolines to the
trans isomers has been studied.14 The stereoselectivity of the
cyclization was, however, determined kinetically in the
present cases because a fraction of the minor product did
not isomerize to the corresponding major isomer upon
heating in the presence of TFSA (Supporting Information,
Table 1S). A similar magnitude of the trans selectivity was
also found in the imines 8b,c where the substituent on the
1-phenyl group of the N-benzylidene moiety (X3) was a
chloro group.
(10) This value is the sum of electronic and thermal enthalpies (at 298.15
K) with a scaled thermal correction (a scale factor 0.8929, on the basis of
the RHF/6-31G* frequency calculation): (a) Pople, J. A.; Scott, A. P.; Wong,
M. W.; Radom, L. Isr. J. Chem. 1993, 33, 345. (b) Scott, A.; Radom, L. J.
Phys. Chem. 1996, 100, 16502. (c) Foresman, J. B.; Frish, Æ. Exploring
Chemistry with Electronic Structure Methods, 2nd ed.; Gaussian, Inc.:
Pittsburgh, 1996.
(11) The most stable conformer with respect to the conformations of
the dimethoxy groups of 5a was used. Another structure, e.g., with anti
and all-in-plane conformation of the methoxy groups of 5a, is higher in
energy than the present conformer (in Figure 1) by 2.2 kcal/mol (RHF/6-
31G*, after scaled ZPE correction).
(12) Single-point energy calculations with B3LYP/6-31G* levels on the
basis of the RHF/6-31G*-optimized geometries were carried out. The
enthalpies of activation (at 298.15 K, after the scaled thermal correction,
based on RHF/6-31G* frequency calculations) are as follows: TS1
(monocationic cyclization), 21.1 kcal/mol; TS2 (dicationic cyclization), -0.3
kcal/mol; TS3 (monocationic cyclization), 16.0 kcal/mol, respectively. The
energy differences of the enthalpies of activation through these relevant
TS structures are of similar magnitude as in the RHF calculations, while
the dicationic cycliztion through TS2 became a nonactivation barrier process.
This might be partially because of the incomplete estimation of electron
correlations in this type of reactions (see ref 10c).
(13) The dihedral angle between the bending aromatic C-H bond and
the neighoring aromatic C-H bond is also a descriptor of the strurural
distortion (in the reactant cations, these values are less than 0.9°): TS1,
23.3°; TS2, 13.5°; TS3, 28.1°.
(14) Cox, E. D.; Li, J.; Hamaker, L. K.; Yu, P.; Cook, J. M. Chem.
Commun 1996 2477-2478.
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