5254 J . Org. Chem., Vol. 66, No. 15, 2001
Notes
regiochemistry of 1,3-DCs,6 so that our results can be directly
compared with existing literature. It has also been recently
considered as an appropriate local descriptor of charge.19 Reac-
tivity indices were computed within the finite difference ap-
proximation:1 µ ) -(IP + EA)/2 and S ) (IP - EA)-1, where IP
and EA are the (vertical) ionization potential and electron
affinity, respectively. The local softness s (condensed to each
individual atom20) was computed as s ) S [p(N0 + 1) - p(N0)]
for electrophiles, and as s ) S [p(N0) - p(N0 - 1)] for nucleo-
philes, where p(N), N ) N0 - 1, N0, N0 + 1, is the atomic electron
population of the cationic, neutral, and anionic system, respec-
tively.
Gen er a l Meth od s. Melting points were determined in open
tubes and are uncorrected. IR spectra were recorded with a FT-
IR spectrophotometer. Mass spectra were determined with a 70
1
eV EI apparatus. H NMR (300 MHz), 13C NMR (75 MHz), and
F igu r e 1. Linear relationship between the computed differ-
ence δ∆Ω in grand potential variation for the pathways leading
to products 4 and 5 and the correspondent difference in
activation energy δ∆E, computed from the experimental ratio.
The error bars show the uncertainty in δ∆E due to the error
in the 4:5 ratio, estimated at 1%.
19F NMR (282 MHz) spectra were taken in CDCl3 solutions at
297 K. Chemical shifts are given as ppm from tetramethylsilane
(hexafluorobenzene for 19F NMR); J values are given in Hz.
Cycloaddition between Nitrilimines 2 and Methyl Propiolate
3: General Procedure. A solution of 1 (2.0 mmol) and 3 (0.34 g,
4.0 mmol) in dry toluene (20 mL) was added with triethylamine
(1.01 g, 10 mmol) and then heated to 100 °C for the time
indicated in Table 1. Evaporation of the solvent in vacuo gave a
residue which was chromatographed on a silica gel column with
ethyl acetate-hexane 1:1. Unreacted 1 was eluted first, followed
by the pyrazolic cycloadduct 4; further elution gave 5. Crystal-
lization from diisopropyl ether gave analytically pure 4 and 5.
4a : 0.16 g, 28%; pale yellow solid; mp 103-105 °C; 1H NMR
(300 MHz, CDCl3): δ 3.83 (3H, s), 3.90 (3H, s), 3.95 (3H, s), 7.48
(1H, s), 7.10-7.30 (4H, m); 13C NMR (75 MHz, CDCl3) δ 44.12
(q), 52.13 (q), 53.50 (q), 120.0-127.0, 128.20 (d), 135.21 (s),
137.26 (s), 144.13 (s), 158.66 (s), 161.21 (s), 162 0.10 (s); IR
(Nujol) 1730 cm-1; MS m/z 290 (M+). Anal. Calcd for C14H14N2-
O5: C, 57.93; H, 4.86; N, 9.65. Found: C, 57.87; H, 4.80; N, 9.62.
4b: 0.18 g, 32%; white solid; mp 96-97 °C; 1H NMR (300
MHz, CDCl3) δ 2.42 (3H, s), 3.81 (3H, s), 3.96 (3H, s), 7.20-7.30
(4H, m), 7.50 (1H, s); 13C NMR (75 MHz, CDCl3) δ 20.82 (q),
52.60 (q), 52.88 (q), 120.0-125.4, 128.16 (d), 135.02 (s), 136.60
(s), 142.10 (s), 158.95 (s), 161.55 (s), 162 0.90 (s); IR (Nujol) 1725
cm-1; MS m/z 274 (M+). Anal. Calcd for C14H14N2O3: C, 61.31;
H, 5.14; N, 10.21. Found: C, 61.23; H, 5.17; N, 10.24.
computed δ∆Ω via eq 3, are in good agreement with the
experimental values (Table 1).
The very low selectivity of the reaction of 2f with 3 is
due to two concurrent causes. First, µ(2f) and µ(3) are so
close that ∆Ω (and hence δ∆Ω) is nearly 3 orders of
magnitude smaller than in the remaining cases. Besides,
the grand potential change due to the formation of the
N1-C1 bond is close to that for the N1-C2 bond; the same
occurs for the C3-C1 and the C3-C2 bonds. At the other
extreme, 2b shows higher selectivity toward 4b, a fact
somewhat unexpected on the basis of the usual substitu-
ent effect. Indeed, 2b has the highest chemical potential
(see Table 2) but this fact alone is not sufficient to account
for the large difference in ∆Ω. Dissecting the latter into
bond contributions, it turns out that the high selectivity
is caused by the particularly unfavorable interaction
between N1 and C2.
We have thus shown that the combined use of DFT
reactivity indices (of the reactants) with the HSAB
principle is superior to FMO theory in predicting the
favored regioisomer, and most important, it provides
quantitative prediction of regioselectivity and insight into
the details of atom-atom interactions in 1,3-DC reactions
without the need of locating transition states or even
characterizing products.
1
4c: 0.16 g, 30%; white solid; mp 100-102 °C; H NMR (300
MHz, CDCl3) δ 3.81 (3H, s), 3.94 (3H, s), 7.40-7.46 (5H, m),
7.51 (1H, s); 13C NMR (75 MHz, CDCl3) δ 52.21 (q), 52.0 (q),
114.0-128.0, 128.99 (d), 134.31 (s), 139.65 (s), 143.27 (s), 158.76
(s), 161.90 (s); IR (Nujol) 1720 cm-1; MS m/z 260 (M+). Anal.
Calcd for C13H12N2O4: C, 60.00; H, 4.65; N, 10.76. Found: C,
59.98; H, 4.60; N, 10.71.
4d : 0.13 g, 23%; pale yellow solid; mp 73-74 °C; 1H NMR
(300 MHz, CDCl3) δ 3.81 (3H, s), 3.95 (3H, s), 7.25-7.40 (4H,
m), 7.53 (1H, s); 13C NMR (75 MHz, CDCl3) δ 52.67 (q), 52.75
(q), 118.0-125.0, 127.98 (d), 133.72 (s), 135.80 (s), 159.95 (s),
160.80 (s), 162.06 (s); 19F NMR (282 MHz, CDCl3) δ -96.42; IR
Exp er im en ta l Section
(Nujol) 1735 cm-1; MS m/z 278 (M+). Anal. Calcd for C13H11
-
Com p u ta tion a l Meth od s. DFT calculations were performed
by means of the GAUSSIAN 94 program suite.16 The hybrid
B3LYP functional was employed with the standard 6-311+G-
(d,p) basis set. Geometry of 2a -f and 3 was fully optimized and
characterized with vibrational analysis at the same level of
theory. The anion and cation of 2a -f and 3 were treated at the
UB3LYP/6-311+G(d,p) level using the geometry of the neutral
systems. Atomic electron populations were evaluated following
the Merz-Kollman scheme.17 This scheme, which already proved
to be reliable,18 has been used in most DFT calculations of
FN2O4: C, 56.12; H, 3.98; N, 10.07. Found: C, 56.15; H, 4.04;
N, 10.11.
4e: 0.15 g, 26%; pale yellow solid; mp 102-103 °C; 1H NMR
(300 MHz, CDCl3) δ 3.80 (3H, s), 3.96 (3H, s), 7.25-7.32 (4H,
m), 7.46 (1H, s); 13C NMR (75 MHz, CDCl3) δ 51.90 (q), 53.22
(q), 116.0-124.8, 128.90 (d), 135.23 (s), 138.39 (s), 153.12 (s),
161.22 (s), 164.13 (s); IR (Nujol) 1730 cm-1; MS m/z 295 (M+).
Anal. Calcd for C13H11ClN2O4: C, 52.98; H, 3.76; N, 9.51.
Found: C, 52.92; H, 3.73; N, 9.57.
4f: 18 mg, 3%; yellow solid; mp 114-116 °C; 1H NMR (300
MHz, CDCl3) δ 3.76 (3H, s), 3.96 (3H, s), 7.59 (1H, s), 7.75-8.20
(4H, m); 13C NMR (75 MHz, CDCl3) δ 52.28 (q), 54.11 (q), 122.1-
126.7, 129.90 (d), 139.10 (s), 154.43 (s), 160.02 (s), 161.97 (s),
165.53 (s); IR (Nujol) 1740 cm-1; MS m/z 305 (M+). Anal. Calcd
for C13H11N3O6: C, 51.15; H, 3.63; N, 13.77. Found: C, 51.18;
H, 3.69; N, 13.70.
(16) Frisch, M. J .; Trucks, G. W.; Schlegel, H. B.; Gill, P. M. W.;
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G. A.; Montgomery, J . A.; Raghavachari, K.; Al-Laham, M. A.;
Zakrzewski, V. G.; Ortiz, J . V.; Foresman, J . B.; Cioslowski, J .;
Stefanov, B. B.; Nanayakkara, A.; Challacombe, M.; Peng, C. Y.; Ayala,
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(19) Chattaraj, P. K. J . Phys. Chem. 2001, 105, 511-513.
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