J. Chil. Chem. Soc., 56, Nº 4 (2011)
4-bromophenyl ring), 7.48 (2H, dd, CH, J = 8 Hz, 4-chlorophenyl ring), 7.64
(2H, dd, CH, J = 8 Hz, 4-chlorophenyl ring);13C NMR (100 MHz, CDCl ), dC
38.8 (CH2), 50.0 (CH), 116.7 (C ≡ N), 114.1, 115.1, 127.3, 129.1, 132.2, 1335.9,
142.5 (C, phenyl rings), 147.7 (C = N). Anal. Calcd for C H11Br ClN3: C,
53.29; H, 3.07; N, 11.65. Found: C, 53.33; H, 3.09;N, 11.67).16
η ≈ (εL − εH )
(3)
As usual, local indexes are computed in atomic condensed form 23. The
24,25
well-known Fukui function
for electrophilic (f k-) and nucleophilic attack
(f k+) can be written as
RESULTS AND DISCUSSION
fk− = [ρk (N) − ρk (N −1)]
fk+ = [ρk (N +1) − ρk (N)]
(4)
(5)
Nitrilimines 2 were generated in situ from base treatment of corresponding
hydrazonoyl chlorides 1 by refluxing in chloroform. 1,3-DC of nitrilimines 2
with the dipolarophile proceeded smoothly in a selective manner to give a single
regioisomer of each pair 4a-5a and 4b -5b in 90% and 88% yields respectively
(scheme 1). For each one of these cycloaddition reactions, two cyclization
modes have been investigated. They are related to the two regioisomeric
approaching modes of nitrilimines 2 to the acrylonitrile 3 mentioned as 4a - 5a
and 4b - 5b. The assignment of the regiochemistry of these products was based
upon i) comparing the theoretical 13C NMR spectral data obtained by GIAO
method with the observed values for both regioisomers; ii) activation energy
calculations and iii) DFT-based reactivity indexes.
Where ρ (N), ρk (N - 1) and ρk (N + 1) are the gross electronic populations
of the site k ikn neutral, cationic, and anionic systems, respectively.
The local electrophilicity index14, ωk, condensed to atom k is easily
obtained by projecting the global quantity onto any atomic center k in the
molecule by using the electrophilic Fukui function (i.e. the Fukui function for
14
nucleophilic attack, f +
)
k
i) For further cycloadduct characterization, we obtained the theoretical
13C chemical shifts values for the products through the GIAO method and
compared it with the observed values. As it can be seen in Table 1 and Scheme
1, the observed values for C1 and C2 in each of the isolated products (48.7
and 39.0, 38.8 and 50.0 ppm in compounds 4 and 5, respectively) are in closer
proximity to the theoretical values for compounds 4a and 5b. It seems likely
that the isolated regioisomers are structurally similar to 4a and 5b. Further
proofs came from activation energy and DFT studies as followings:
ωk = ωfk+
(6)
Recently, Domingo et al. has introduced an empirical (relative)
nucleophilicity index 13, N, based on the HOMO energies obtained within
the Kohn–Sham scheme 22, and defined as E
(Nu) - E
(TCE). This
nucleophilicity scale is referred to tetracyanHoOeMthOylene (THCOEM)O taken as a
reference. Local nucleophilicity index 26, Nk, was evaluated using the following
equation 26
:
Table 1. The comparison of theoretical 13C NMR chemical shifts data (δ,
ppm) of C-1 and C-2 of each pair of regioisomers with those obtained from the
experimental 13C NMR spectroscopy.
Nk =
(7)
Experimental
chemical shift
Calculated chemical
shift
where fk− is the Fukui function for an electrophilic attack 25
.
Atom number
Compound
The 13C NMR chemical shifts were calculated by means of the GIAO
method 9, using the tetramethylsilane (TMS) as 13C reference, at the B3LYP/6-
311+G (d) level of theory (reference value of 13C = 184.5307 ppm).
48.7
39.0
48.4
38.7
33.2
47.5
45.2
31.3
38.5
49.4
C-1
C-2
C-1
C-2
C-1
C-2
C-1
C-2
4a
5a
4b
5b
EXPERIMENTAL
The melting points were recorded on an Electrothermal type 9100 melting
1
point apparatus. The H NMR (400 MHz) spectra were recorded on a Bruker
AC 400 spectrometer. 13C NMR spectra were determined using the Bruker
AM-400 instrument operating at 100 MHz. IR spectra were determined as KBr
pellets on a Shimadzu model 470 spectrophotometer. The mass spectra were
scanned on a Varian Mat CH-7 instrument at 70 eV. Hydrazonoyl chlorides
(1) the precursors of nitrilimines (2) are known compounds and were prepared
38.8
50.0
ii) Activation energy calculations
The transition states have been localized for both cyclization modes. The
corresponding activation energies and structures are given in Table 2 and Figure
1 respectively. As it can be seen in Table 2, in the reaction between 2a and 3,
TS 4a is located 1.6 kcal below TS 5a and in the reaction between 2b and 3 TS
5b is located 0.5 kcal below TS 4b. The activation energies corresponding to
the two cyclization modes of the reactions are: 8.5, 10.1 for 2a+3, and 7.9, 7.2
for 2b+3. Thus, in 2a+3 reaction pathway, 4a regioisomer is kinetically more
favored than the 5a. In reaction between 2b + 3, 5b regioisomer is kinetically
more favored than the 4b. The presence of the nitro group in nitrilimine 2a
not only changes the regioselectivity but also slightly increases the barrier.
An analysis of the geometries at the TSs given in Figure1 indicates that they
correspond to an asynchronous bond formation processes. The extent of bond
formation along a reaction pathway is provided by the concept of bond order
(BO) 28. The BO (Wiberg indexes) values of the N – C and C – C forming bonds
at TSs are shown in brackets in Figure1. These values are within the range
of 0.17 to 0.26. Therefore, it may be suggested that these TSs correspond to
early processes. In general, the asynchronicity shown by the geometrical data
is accounted for by the BO values. A qualitative reactivity can be estimated by
applying Hammond’s postulate 29. All the reactions proceeded exothermically
with large ΔEr (relative energies between products and reactives) energy
values which make them irreversible processes (see Table 2). According to
Hammond’s postulate, the TSs should then be closer to the reactives. The
activation energy values, ΔE , also favor the formation of the cycloadducts 4a
and 5b against their regioisoamers 5a and 4b respectively. The polar nature of
the two cyclization modes can be estimated by a charge transfer (CT) analysis
at the TSs. The CT from nitrilimine 2a to acrylonitrile 3 is 0.19 e at TS 4a and
0.16 e at TS 5a. Therefore the CT calculations show a NED (normal electron
demand) character for this reaction. For 2b + 3, The CT from nitrilimine 2b to
according to generally used methods 27
.
Typical experimental procedure for 4a and 5b
To a solution of acrylonitrile 3 (5 mmol) and hydrazonoyl chlorides 1a,b
(5 mmol) in chloroform (20 ml) was added triethylamine (0.7 ml, 5 mmol).
The reaction mixture was refluxed for 8-10 h till the hydrazonoyl chloride
disappeared as indicated by TLC analysis. The solvent was evaporated and
the residue was treated with methanol. The solid that formed was collected
and crystallized from suitable solvent to afford the pure products 4a and 5b
respectively in good yields.
3-(4-chlorophenyl)-1-(4-nitrophenyl)-4,5-dihydro-1H-pyrazole-4-
carbonitrile (4a): This compound was obtained as brown solid (90%). m.p.
182 °C. IR (KBr) (nmax/cm-1):1395, 1493,1597 cm-1. MS (EI, 70 eV) m/z: 326
(M+), 328(M++2). 1H NMR (400 MHz, CDCl ) dH 3.88 (1H, d, J = 16 Hz,
CHAHB), 4.01 (1H, d, J = 16 Hz, CHAHB), 5.932 (1H, t, CH, J= 8 Hz), 7.39
(2H, dd, CH, J = 8 Hz, 4-nitrophenyl ring), 7.58 (2H, dd, CH, J = 8 Hz,
4-chlorophenyl ring), 7.85 (2H, dd, CH, J = 8 Hz, 4-chlorophenyl ring), 8.27
(2H, dd, CH, J = 8 Hz, 4-nitrophenyl ring). 13C NMR (100 MHz, CDCl3) dC
39.0 (CH), 48.7 (CH2), 115.9 (C ≡ N), 113.0, 127.6, 128.2, 128.5, 129.3, 136.8,
147.2 (C, phenyl rings), 149.9 (C = N). Anal. Calcd for C16H11N4O2: C, 58.82;
H, 3.39; N, 17.15. Found: C, 58.85; H, 3.43; N, 17.19.
1-(4-bromophenyl)-3-(4-chlorophenyl)-4,5-dihydro-1H-pyrazole-5-
carbonitrile (5b): This compound was obtained as light pink solid (88%). m.p.
165 °C. IR (KBr) (nmax/cm-1):1336, 1558, 1580 cm-1. MS (EI, 70 eV) m/z: 359
(M+), 361(M++2), 363 (M++4). 1H NMR (400 MHz, CDCl ) dH 3.64 (1H, d, J
= 12 Hz, CHAHB), 3.66 (1H, d, J = 12 Hz, CHAHB), 4.98 (13H, t, CH, J= 8 Hz),
7.13 (2H, dd, CH, J = 8 Hz, 4-bromophenyl ring), 7.42 (2H, dd, CH, J = 8 Hz,
871