M. F. NAZAR ET AL.
157.4, 141.9, 133.6, 133.6, 129.3, 129.3, 128.1, 128.1, 126.9, 126.9,
123.5, 116.3, 116.3, 63.4, 61.0, 59.7, 43.5, 36.0, 14.8, 14.0. IR (KBr,
cmꢀ1): 681, 1510, 1605, 1663, 1733, 2981. MS (EI): m/z (%) = 372
(30), 222(100), 194(18), 51(3), 39(2), 344(6), 299(2), 119(9), 91 (20).
Ethyl 4-(4-bromophenyl)-6-(4-methoxyphenyl)-2-oxocyclohex-
3-enecarboxylate (4BM4)
Yellow solid, Yield 3.0 g (62.0%); m.p.: 119–121 °C. 1H NMR (CDCl3,
300 MHz): δ 1.08 (t, J = 7.1Hz, 3H), 4.06 (q, J = 7.1Hz, 2H), 3.04 (dd,
J1 = 2.3Hz, J2 = 17.0, 1H), 2.79–2.87 (m, 1H), 3.70 (dd J1 = 3.2 Hz,
J2 = 6.95, 2H), 6.54 (s, 1H), 7.45 (dd J1 = 2.91 Hz, J2 = 7.0, 2H), 7.04
(dd J1 = 2.6 Hz, J2 = 6.9, 2H), 7.24 (dd J1 = 2.1Hz, J2 = 6.6, 2H), 6.90
(dd J1 = 2.1Hz, J2 = 6.6, 2H), 3.81 (s, 3H). 13C NMR (CDCl3,
300 MHz): δ 193.5, 169.5, 157.4, 157.4, 141.9, 133.8, 133.7, 129.3,
129.3, 128.1, 128.1, 126.9, 126.9, 123.4, 119.3, 119.3, 61.0, 59.6,
55.2, 43.3, 35.9, 14.0. IR (KBr, cm-1): 640, 1060, 1499, 1608, 1662,
1736, 2975. MS (EI): m/z (%) = 358(19), 222(100), 194(18), 51(5), 39
(2), 328(8), 297(3), 119(8), 91 (20).
Ethyl 4-(4-bromophenyl)-6-(2-chlorophenyl)-2-oxocyclohex-3-
enecarboxylate (4BC2)
1
Fluffy white solid, Yield 2.9 g (61.0%); m.p.: 109–110 °C. H NMR
(CDCl3, 300 MHz): δ 1.07 (t, J = 7.1 Hz, 3H), 4.06 (q, J = 7.2 Hz, 2H),
3.04 (dd, J1 = 2.3 Hz, J2 = 17.0, 1H), 2.75–2.85 (m, 1H), 3.68 (dd
J1 = 3.0 Hz, J2 = 6.9, 2H), 6.53 (s, 1H), 7.42 (dd J1 = 3.0 Hz, J2 = 7.0,
2H), 7.04 (dd J1 = 2.5 Hz, J2 = 6.9, 2H), 7.27 (m, 4H). 13C NMR (CDCl3,
300 MHz): δ 193.5, 169.5, 157.3, 142.1, 133.6, 133.6, 133.1, 129.2,
129.2, 128.9, 128.1, 128.1, 127.6, 127.1, 126.5, 123.4, 61.0, 59.5,
43.3, 35.9, 14.0. IR (KBr, cmꢀ1): 677, 756, 1483, 1605, 1665, 1738,
2976. MS (EI): m/z (%) = 362(35), 222(100), 194(25), 51(5), 39(4),
334(9), 299(5).
On the basis of aforementioned results the structures of CDs are
given in Table 1.
Computational procedure
All computations were performed using Gaussian 09 program
package (Gaussian Inc., Wallingford, CT),[30] and all systems were
optimized using DFT calculations. No symmetry constraint was
imposed during geometry optimization. For geometry optimization,
B3LYP functional and 6-31 + G* basis set were used; which have
been known to be quite reliable in having compromise between ac-
curacy of the results and computational time. Coulomb-attenuating
method CAM-B3LYP functional, a long-range corrected form of
B3LYP, was used to calculate absorption spectra of CDs. Ten (10)
lowest singlet–singlet excitation energies were computed. The
absorption spectra of the CDs were simulated by TD-DFT, a most
popular methods for calculating electron absorption spectra in
quantum chemistry[31,32] because of the accuracy and reliability.
Moreover, we used polarized continuum model to calculate the
absorption spectra.[33,34] When a molecule is placed in a uniform
static electric field, its electronic energy can be written as a series
involving coefficients identified as permanent multipole moments
and polarizabilities.[5] The first hyperpolarizabilities are evaluated
by finite field approach with the DFT level of theory. In finite field
method when a molecule is subjected to the static electric field,
the energy of the molecule is expressed by Eqn (1).
Ethyl 4-(4-bromophenyl)-6-(4-chlorophenyl)-2-oxocyclohex-3-
enecarboxylate (4BC4)
Yellow solid, Yield 2.8 g (60.0%); m.p.: 111–112 °C. 1H NMR (CDCl3,
300 MHz): δ 1.08 (t, J = 7.1 Hz, 3H), 4.07 (q, J = 7.1 Hz, 2H), 3.05 (dd,
J1 = 2.4 Hz, J2 = 16.5, 1H), 2.79–2.88 (m, 1H), 3.72 (dd J1 = 2.9 Hz,
J2 = 7.0, 2H), 6.54 (s, 1H), 7.41 (dd J1 = 2.9 Hz, J2 = 6.9, 2H), 7.03
(dd J1 = 2.6 Hz, J2 = 6.9, 2H), 7.28 (dd J1 = 1.2 Hz, J2 = 4.5, 2H), 7.30
(dd J1 = 2.1 Hz, J2 = 6.6, 2H). 13C NMR (CDCl3, 300 MHz): δ 193.7,
169.5, 157.5, 141.1, 133.7, 133.6, 133.5, 129.2, 129.2, 128.6, 128.6,
128.1, 128.1, 127.6, 127.6, 123.5, 61.0, 59.5, 43.4, 36.0, 14.0. IR
(KBr, cmꢀ1): 665, 760, 1502, 1600, 1670, 1736, 2977. MS (EI): m/z
(%) = 362(35), 222(100), 194(20), 51(5), 39(3), 334(8), 299(2).
Ethyl 4-(4-bromophenyl)-6-(2-methoxyphenyl)-2-oxocyclohex-
3-enecarboxylate (4BM2)
1
Fluffy white solid, Yield 2.9 g (61.0%); m.p.: 118–120 °C. H NMR
(CDCl3, 300 MHz): δ 1.08 (t, J = 7.1 Hz, 3H), 4.07 (q, J = 7.1 Hz, 2H),
3.03 (dd, J1 = 2.3 Hz, J2 = 17.0, 1H), 2.80–2.87 (m, 1H), 3.69 (dd
J1 = 3.0 Hz, J2 = 7.1, 2H), 6.54 (s, 1H), 7.54 (dd J1 = 2.9 Hz, J2 = 7.0,
2H), 7.01 (dd J1 = 2.6 Hz, J2 = 7.0, 2H), 7.10 (m, 4H), 3.81 (s, 3H).
13C NMR (CDCl3, 300 MHz): δ 193.5, 169.4, 157.3, 155.8, 141.9,
133.7, 133.5, 129.3, 129.3, 128.0, 128.0, 127.3, 127.0, 123.4,
120.8, 114.0, 55.2, 61.0, 59.5, 43.5, 36.0, 14.0. IR (KBr, cmꢀ1): 630,
1045, 1495, 1607, 1662, 1735, 2975. MS (EI): m/z (%) = 358(30),
222(100), 194(20), 51(5), 39(2), 328(7), 297(2), 119(10), 91 (20).
1
2
1
6
1
24
E ¼ Eð0Þ ꢀ μiFi ꢀ αijFiFj ꢀ βijkFiFjFk ꢀ
γijklFiFjFkFl ꢀ … (1)
where E(0) is the energy of molecule in the absence of an electronic
field, μ is the component of the dipole moment vector, α is the linear
polarizability tensor, β and γ are the first and second hyper-
polarizability tensors whereas i, j and k label the x, y, and z compo-
nents, respectively. Average polarizability (αav) is determined by
considering only the diagonal elements.[35]
Ethyl 4-(4-bromophenyl)-6-(3-methoxyphenyl)-2-oxocyclohex-
3-enecarboxylate (4BM3)
Fluffy white solid, Yield 2.8 g (60.0%); m.p.: 121–123 °C. 1H NMR
(CDCl3, 300 MHz): δ 1.08 (t, J = 7.2 Hz, 3H), 4.08 (q, J = 7.2 Hz, 2H),
3.02 (dd, J1 = 2.2 Hz, J2 = 17.5, 1H), 2.81–2.89 (m, 1H), 3.71 (dd
J1 = 3.1 Hz, J2 = 7.0, 2H), 6.53 (s, 1H), 7.44 (dd J1 = 2.85 Hz,
J2 = 6.9, 2H), 7.03 (dd J1 = 2.5 Hz, J2 = 7.0, 2H), 7.20 (m, 4H),
3.81 (s, 3H). 13C NMR (CDCl3, 300 MHz): δ 193.6, 169.4, 160.4,
157.4, 142.1, 133.8, 133.7, 129.5, 129.2, 129.2, 128.1, 128.1,
126.9, 123.4, 111.5, 110.4, 55.3, 61.0, 59.5, 43.4, 35.9, 14.0. IR
(KBr, cmꢀ1): 628, 1050, 1488, 1609, 1660, 1738, 2970. MS (EI):
m/z (%) = 358(20), 222(100), 194(18), 51(4), 39(3), 328(7), 297
(2), 119(9), 91 (19).
ꢀ
ꢁ
αav ¼ 1=3 αxx þ αyy þ αzz
(2)
Ten components (βxxx, βxxy, βxyy, βyyy, βxxz, βxyz, βyyz, βxzz, βyzz
,
and βzzz) produced by Gaussian 09 are used to calculate total
hyperpolarizability (βtot):[35]
hꢂ
ꢃ
ꢂ
ꢃ
βtot
¼
βxxx þ βxyy þ βxzz 2 þ βyyy þ βxxy þ βyzz 2 (3)
ꢂ
ꢃ i
2
þ
βzzz þ βxxz þ βyyz
1=2
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Copyright © 2015 John Wiley & Sons, Ltd.
J. Phys. Org. Chem. 2016, 29 152–160