1
32
J. Jayabharathi et al. / Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy 97 (2012) 131–136
applications related to telecommunications, optical computing,
optical storage, and optical information processing [9–12]. Herein
we report the synthesis and theoretical studies of some benzimid-
azole derivatives (1–6).
For each donor (i) and acceptor (j), the stabilization energy E(2)
associated with the delocalization i ? j is estimated as
2
Fði; jÞ
Eð2Þ ¼
D
E
ij ¼ qi
ð4Þ
e
j
ꢁ
e
i
where q
i
is the donor orbital occupancy,
e
i
and
e
j
are diagonal ele-
Experimental
ments and F(i,j) is the off diagonal NBO Fock matrix element [15].
The larger the E(2)value, the more intensive is the interaction be-
tween electron donors and electron acceptors, i.e., the more donat-
ing tendency from electron donors to electron acceptors and the
greater the extent of charge transfer or conjugation of the whole
system.
Spectral measurements
NMR spectra were recorded on Bruker 400 MHz NMR spectrom-
eter. Mass spectrum was recorded using Agilant 1100 Mass
spectrometer.
General procedure for the synthesis of ligands
Non-linear optical measurements
A mixture of corresponding aldehyde (2 mmol), o-phenylenedi-
amine (1 mmol) and ammonium acetate (2.5 mmol) has been re-
fluxed at 80 °C in ethanol for appropriate time. The reaction was
monitored by TLC and purified by column chromatography using
petroleum ether: ethyl acetate (9:1) as the eluent.
The non-linear optical conversion efficiencies were parted using
a modified set up of Kurtz and Perry. A Q-switched Nd: YAG laser
beam of wavelength of 1064 nm was used with an input power of
4
.1 mJ/pulse width of 10 ns, scattering geometry 90°, the repetition
rate being 10 Hz, monochromater Jobin Youon Triax 550, slit width
.5 mm, focal length of focusing lens 20 cm, PMT model number
XP2262B used in Philips photonics, power supply for PMT is
.81 KU/mA with oscilloscope Jektronix TDS 3052B.
0
Results and discussion
1
1,2-Disubstituted benzimidazole: X-ray analysis
Computational details
1
-(4-Methyl benzyl)-2-p-tolyl-1H-benzo[d]imidazole [16] is a
ꢀ
triclinic crystal. It crystallizes in the space group P1. The cell dimen-
sions are a = 9.6610 Å, b = 10.2900 Å, c = 17.7271 Å. ORTEP diagram
of 5 (Fig. 1) shows that the benzimidazole ring is essentially planar.
The dihedral angles between the planes of the benzimidazole and
the benzene rings of the 4-methylbenzyl and the p-tolyl groups
are 76.64(3)° and 46.87(4)°, respectively, in molecule A. The corre-
sponding values in molecule B are 86.31(2)° and 39.14(4)°. The dihe-
dral angle between the planes of the two benzene rings is 73.73(3)°
and 80.69(4)° in molecules A and B, respectively. Optimization of 5
have been performed by DFT at B3LYP/6-31G(d,p) using Gaussian-
Quantum mechanical calculations were used to carry out the
optimized geometry, NLO, NBO and HOMO–LUMO analysis with
Gaussian-03 program using the Becke3–Lee–Yang–Parr (B3LYP)
functional supplemented with the standard 6-31G(d,p) basis set
[
13]. As the first step of our DFT calculation for NLO, NBO and
HOMO–LUMO analysis, the geometry taken from the starting
structures were optimized and then, the electric dipole moment
l
and b tensor components of the studied compounds were calcu-
lated, which has been found to be more than adequate for obtain-
ing reliable trends in the first hyperpolarizability values.
We have reported the btot (total first hyperpolarizability) for the
investigated molecules and the components of the first hyperpo-
larizability can be calculated using equation:
0
3. All these XRD data are in good agreement with the theoretical
values (Table 1). However, from the theoretical values it can be
found that most of the optimized bond lengths, bond angles and
dihedral angles are slightly higher than that of XRD values. These
deviations can be attributed to the fact that the theoretical calcula-
tions were aimed at the isolated molecule in the gaseous phase and
the XRD results were aimed at the molecule in the solid state.
X
bi ¼ biii þ 1=3 ðbijj þ bjij þ bjjiÞ
ð1Þ
i–j
Using the x, y and z components, the magnitude of the first
hyperpolarizability tensor can be calculated by
The key twist, designated as
a have been examined. a is used to
indicate the twist of benzimidazole ring from the aromatic six-
membered ring at C-2. The twist originates from the interaction
of substituent at benzyl rig attached nitrogen of the benzimidazole
with the substituent at C-2. The present structural information al-
lows us to further explore the correlation between structural fea-
tures and fluorescent property. When the two adjacent aromatic
species are in a coplanar geometry, the p-orbitals from the C–C
bond connecting the two species will have maximal overlapping
and the two rings will have a rigid and partial delocalized conjuga-
tion, as the result, the bond is no longer a pure single bond, as evi-
dent from the X-ray data.
2
x
2
y
2
1=2
btot ¼ ðb þ b þ b Þ
ð2Þ
z
The complete equation for calculating the magnitude of first
hyperpolarizability from Gaussian-03 output is given as follows:
2
2
btot ¼ ½ðbxxx þ b þ bxzzÞ þ ðb þ byzz þ byxxÞ þ ðb þ bzxx
xyy
yyy
zzz
2
1=2
þ bzyyÞ ꢀ
ð3Þ
All the electric dipole moment and the first hyperpolarizabili-
ties are calculated by taking the Cartesian coordinate system (x,
y, z) = (0, 0, 0) at own center of mass of the compounds.
Second harmonic generation (SHG) studies of 1,2-disubstituted
benzimidazole derivatives
Natural bond orbital (NBO) analysis
NBO analysis have been performed on the molecule at the DFT/
B3LYP/6-31G(d,p) level in order to elucidate the intramolecular,
rehybridization and delocalization of electron density within the
molecule. The second order Fock matrix was carried out to evalu-
ate the donor–acceptor interactions in the NBO analysis [14]. The
interactions result in a loss of occupancy from the localized NBO
of the idealized Lewis structure into an empty non-Lewis orbital.
Second harmonic signals of 45 (1), 47 (2), 51 (3), 46 (4), 54 (5)
and 52 (6) mV was obtained for 1,2-disubstituted benzimidazole
derivatives by an input energy of 4.1 mJ/pulse. But the standard
KDP crystal gave a SHG signal of 110 mV/pulse for the same input
energy. The second order non-linear efficiency will vary with the
particle size of the powder sample [17]. Higher efficiencies are
achieved by optimizing the phase matching [18]. On a molecular