R. Renjith et al. / Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy 129 (2014) 438–450
445
reported the CAN stretching vibrations of the piperazine ring in the
region 1154–756 cmꢂ1. Piperazine ring stretching modes are re-
ported at 1240, 1155, 1134, 1043, 1032, 1018, 1002, 974,
880 cmꢂ1 theoretically and at 1238, 1143, 1045, 1004, 874 cmꢂ1
experimentally [49]. Gunasekaran and Anita [50] reported the
piperazine ring stretching modes at 1055, 1173, 1199, 1218,
1268, 1323 cmꢂ1 in the IR spectrum and at 1049, 1120, 1186,
1294 cmꢂ1 in the Raman spectrum. The substituent sensitive
modes and other deformation modes are also identified and as-
signed (Table 1).
In order to investigate the performance of vibrational wave-
numbers of the title compound, the root mean square (RMS) value
between the calculated and observed wavenumbers were calcu-
lated. The RMS values of wavenumbers were calculated using the
following expression [51].
In the present case, the oxygen atoms O17 and O18 are equally
inclined from the N15 atom given by the angles O17AC16AN15
18AC13AN15 (124.3°) and from C4 and C5 atoms given by the
,
O
angles O17AC16AC5, O18AC13AC4 (127.4°) as reported in literature
[56]. The methoxy groups, O14AC11AH23,24,27 and O9AC8AH20,21,22
inclined almost equally with respect to the other parts of the six
member ring. The bond angles C1AC6AC7, C5AC6AC7, C2AC3AC7,
C4AC3AC7, C6AC1AC2 and C4AC3AC2 are respectively 99.7°,
102.1°, 99.7°, 102.8°, 107.8° and 105.2°. In addition, the declination
of the R3 from the R4 are given by the angles C6AC5AC16 and
C3AC4AC13 by 118.6° and 119.3° which are almost equal as
reported in literature [24]. The conjugation in the imido group is
essentially disturbed; the torsion angles
C13AN15AC16AC5,
C
16AN15AC13AC4 are 8.5°, ꢂ6.3° and the C13AN15 and C16AN15
bond lengths are elongated to 1.4037, 1.4025 Å relative to the
average value 1.371 Å [57].
rffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
X
À
Á
1
n
i
For the cyclohexene ring, Manohar et al. [58] reported the bond
2
RMS ¼
tci alc
ꢂ
tei xp
:
lengths
C1AC2 = 1.3194,
C1AC6 = 1.5174,
C6AC5 = 1.5523,
n ꢂ 1
C6AC7 = 1.5484, C5AC4 = 1.5353, C4AC3 = 1.5543, C3AC7 = 1.5473,
C3AC2 = 1.5144 Å and the corresponding bond lengths of the title
compound are 1.3471, 1.5334, 1.5702, 1.5866, 1.5697, 1.5757,
1.5901, 1.5309 Å. The bond angles reported by Manohar et al.
[58] are C3AC4AC5 = 102.9°, C3AC2AC1 = 107.5°, C3AC7AC6 = 92.4°,
C2AC3AC4 = 107.2°, C6AC5AC4 = 103.1°, C6AC1AC2 = 107.7°, C5A
C6AC1 = 106.8°, C2AC3AC7 = 99.5°, C4AC3AC7 = 101.12°, C5A
C6AC7 = 101.1°, C1AC6AC7 = 99.4°, where as the corresponding
calculated (SDD) values of the title compound are 102.8°, 107.3°,
91.3°, 105.2°, 102.9°, 107.8°, 106.2°, 99.7°, 102.8°, 102.1°, 99.7°.
The propyl group is tilted from the R3, as is evident from torsion
angles, C5AC16AN15AC19 (ꢂ176.2°), C16AN15AC19AC28 (ꢂ93.8°),
C4AC13AN15AC19 (178.3°) and C13AN15AC19AC28 (81.1°). The dou-
The RMS error of the observed IR and Raman bands are found to
be 11.64 (B3LYP/6-31Gꢁ), 9.63 (B3LYP/SDD) and 12.38 (B3LYP/
6-31Gꢁ), 6.25(B3LYP/SDD), respectively. The small differences
between experimental and calculated vibrational modes are
observed. This is due to the fact that experimental results belong
to solid phase and theoretical calculations belong to gaseous phase.
Geometrical parameters
To the best of their knowledge, no X-ray crystallographic data of
this molecule has yet been established. However, the theoretical
results obtained are almost comparable with the reported struc-
tural parameters of the parent molecules. For the imido fragment
of the title compound, the SDD calculations give the bond angles,
ble bonds C16AO17 and C13AO18 are conjugated with the
p-system
of the R3, with the torsion angles O17AC16AN15AC13, C16AN15A
C
16AN15AC13, O18AC13AN15, O18AC13AC4, N15AC13AC4, C13AC4-
C
C
13AC4 being ꢂ175.4°, -6.3° and O18AC13AN15AC16, C13AN15A
16AC5 being 178.6°, 8.5° respectively as reported by Kasyan
AC5, O17AC16AN15, O17AC16AC5, N15AC16AC5, as 113.7°, 124.3°
127.4°, 108.1°, 104.9°, 124.3°, 127.4°, 108.2°, respectively, whereas
the reported values of similar derivatives are 112.1°, 126.3°, 125.9°,
107.9°, 103.7°, 126.3°, 126.6°, 106.9° [52]. Conley et al. [53]
et al. [59]. The asymmetry of the bond angles C16AN15AC19
=
123.5°, C13AN15AC19 = 122.6° and C16AN15AC13 = 113.7° at N15 posi-
tion reveal the steric repulsion of the atoms H26, H25 and O17, O18 [59].
For the piperazine ring, Gao et al. [60] reported the bond
lengths
N
reported the dihedral angles,
15AC13AC4 = A4.0, 18AC13AC4AC5 = 177.5,
1.5, 13AC4AC5AC16 = 1.7, 13AN15AC16AC5 = 5.1, C4AC5AC16
C
16AN15AC13AO18 = 179.5,
C16A
N
O
N15AC13AC4AC5 =
N38AC40 = 1.4796, N38AC39 = 1.4927, C39-AC46 = 1.4997,
47AC45 = 1.4807, N47AC46 = 1.4837, C40AC45 = 1.4937 Å and the
C
C
AO17 = 176.7, C4AC5AC16AN15 = ꢂ4.0° whereas for the title com-
pound the corresponding values are 178.6, ꢂ6.3, 176.3, 1.4, 3.3,
8.5, 177.1, and ꢂ6.9° respectively. Lee and Swager [54] reported
corresponding bond lengths of the title compound are 1.4887,
1.4811, 1.5364, 1.4721, 1.4746, 1.5456 Å respectively. The SDD cal-
culations give the bond angles within the piperazine ring N38AC39-
the
bond
lengths
O17AC16 = 1.1954,
O
18AC13 = 1.2054,
AC46 = 111.2°,
N
38A40AC45 = 113.6°,
N47AC45AC40 = 110.1°,
N
C
15AC16 = 1.3776, N15AC13 = 1.3765 Å and the bond angles C5A
16AN15 = 106.3°, C4AC13AN15 = 106.5°. Naz et al. [52] reported
the bond lengths in the imido fragment as C16AO17 = 1.2023,
15AC16 = 1.3996, 13AO18 = 1.2000, 13AN15 = 1.3971,
13AC4 = 1.5196, C16AC5 = 1.5252, C5AC4 = 1.5136, whereas the
N
47AC46AC39 = 110.4°, C45AN47AC46 = 116.7°. El-Emam et al. [46]
reported the corresponding values as 110.0°, 109.7°, 109.7°,
110.0° and 110.0° for different similar derivatives. Gao et al. [60]
reported the dihedral angles C40AN38AC39AC46 = 56.9, C45AN47
N
C
C
C
AC46AC39 = 58.8, N38AC39AC46AN47 = ꢂ56.7, C46AN47AC45AC40
=
SDD calculations give the corresponding bond lengths within the
imido fragment as 1.2426, 1.4025, 1.2412, 1.4037, 1.5344,
1.5387, 1.5697 Å. The N15AC19 bond length (1.4729 Å) is longer
than N15AC13 (1.4037 Å) and N15AC16 (1.4025 Å) bond lengths.
ꢂ58.9,
C39AN38AC40AC45 = ꢂ57.7,
N
47AC45AC40AN38 = 57.7°,
which are in agreement with our calculated values.
First hyperpolarizability
This indicates, as expected, a delocalized p-electron system along
the imide part of the molecule (O18AC13AN15AC9AO17) as reported
by Bartkowska et al. [55].
Nonlinear optics deals with the interaction of applied electro-
magnetic fields in various materials to generate new electromag-
netic fields, altered in wavenumber, phase, or other physical
properties [61]. Organic molecules able to manipulate photonic
signals efficiently are of importance in technologies such as optical
communication, optical computing, and dynamic image processing
[62,63]. In this context, the dynamic first hyperpolarizability of the
title compound is also calculated in the present study. The first
hyperpolarizability (b0) of this novel molecular system is calcu-
lated using SDD method, based on the finite field approach. In
the presence of an applied electric field, the energy of a system is
For the title compound the C4AH10, C5AH12, bond lengths are
1.0936, 1.0939 Å whereas reported values are 0.96, 0.9601 Å [53].
The cyclohexene ring fragment is a sterically strained system. Pre-
sumably, this is the reason for elongation of skeletal CAC bonds,
C1AC2, C2AC3, C3AC4, C5AC6 and C6AC1. The CAC bond lengths in
the five member ring (C5AC16, C4AC13) are elongated to a lesser ex-
tent. These may be explained by change of the substitution pattern
in the nitrogen containing five member ring as reported by Tara-
bara et al. [24].