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the nature of substituents. A very strong CH Out of plane deforma-
tion band occurring at 840 50 cmꢁ1 is typical for 1,4-disubstitued
benzenes [17]. For the title compound, a very strong CH is observed
at 832 cmꢁ1 in the IR spectrum. The DFT calculations give this
mode at 822 cmꢁ1. The 1,3-susbtitued benzene resembles that of
tive bonds leading to stabilization of 10.69 kcal molꢁ1. Another
intramolecular hyper-conjugative interactions are formed by the
orbital overlap between n(O) and r⁄(CAC) bond orbitals which re-
sults in ICT causing stabilization of the system. The strong intramo-
lecular hyper-conjugative interaction of
C18AC19 from O2 of
mono substitution, with out-of-plane
c
CH vibration near
n2(O2) ? r⁄(C18AC19) which increases ED (0.06602e) that weak-
770 cmꢁ1 and out-of-plane ring vibration
c
Ph in the neighborhood
ens the respective bonds leading to stabilization of
of 685 cmꢁ1 [17]. These bands are observed at 771, 699 cmꢁ1 in the
IR spectrum and finds support from computational results, at 766,
703 cmꢁ1 for the phenyl ring PhI [17]. The bands observed at 970,
940, 925, 851, 832, 819, 771 cmꢁ1 in the IR spectrum are assigned
as the out-of-plane CH modes of the phenyl rings I and II. The sub-
stituent sensitive modes of the phenyl ring and other modes are
also identified and assigned (Table 4).
20.71 kcal molꢁ1
. The strong intramolecular hyper-conjugative
interaction of O4AC22 from O3 of n2(O3) ? p⁄(O4AC22) which in-
creases ED (0.26267e) that weakens the respective bonds leading
to stabilization of 44.92 kcal molꢁ1. Also another intramolecular
hyper-conjugative interactions are formed by the orbital overlap
between n(O) and r⁄(OAC) bond orbital which results in ICT caus-
ing stabilization of the system. The strong intramolecular hyper-
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 [42]
conjugative interaction of O3AC22 from O4 of n2(O4) ? r⁄(O3AC22
)
which increases ED (0.10326e) that weakens the respective bonds
leading to stabilization of 32.43 kcal molꢁ1. A very strong hyper-
conjugative interaction of O6AN7 from O5 of n3(O5) ? r⁄(O6AN7)
which increases ED (0.65474e) that weakens the respective bonds
leading to stabilization of 167.09 kcal molꢁ1. Also hyper-conjuga-
tive interaction of C30AN7 from O6 of n2(O6) ? r⁄(C30AN7) which
increases ED (0.10341e) that weakens the respective bonds leading
to stabilization of 10.61 kcal molꢁ1. The increased electron density
at the oxygen and chlorine atoms leads to the elongation of respec-
tive bond length and a lowering of the corresponding stretching
wavenumber. The electron density (ED) is transferred from the
n(Cl) to the anti-bonding p⁄ orbital of the CAC, n(O) to r⁄(NAC),
p⁄(OAC), p⁄(OAN) and n(O) to r⁄(NAC) explaining both the elon-
gation and the red shift [46]. The CACl, AC@O, ANO2 stretching
modes can be used as a good probe for evaluating the bonding con-
figuration around the corresponding atoms and the electronic dis-
tribution of the benzene molecule. Hence the title compound is
stabilized by these orbital interactions.
The NBO analysis also describes the bonding in terms of the nat-
ural hybrid orbital n2(Cl1), which occupy a higher energy orbital
(ꢁ0.33396 a.u.) with considerable p-character (100%) and low
occupation number (1.97665 a.u.) and the other n1(Cl1) occupy a
lower energy orbital (ꢁ0.95238 a.u.) with p-character (15.60%)
and high occupation number (1.98983 a.u.). Also n2(O2), which oc-
cupy a higher energy orbital (ꢁ0.29058 a.u.) with considerable p-
character (99.89%) and low occupation number (1.89899 a.u.) and
the other n1(O2) occupy a lower energy orbital (ꢁ0.70762 a.u.)
with p-character (37.84%) and high occupation number
(1.97679 a.u.). n2(O3), which occupy a higher energy orbital
(ꢁ0.35390 a.u.) with considerable p-character (100.0%) and low
occupation number (1.80152 a.u.) and the other n1(O3) occupy a
lower energy orbital (ꢁ0.58895 a.u.) with p-character (57.33%)
and high occupation number (1.96676 a.u.). Again n2(O4), which
occupy a higher energy orbital (ꢁ0.29782 a.u.) with considerable
p-character (100.0%) and low occupation number (1.86271 a.u.)
rffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
X
À
Á
1
n
i
2
RMS ¼
tci alc
ꢁ
tei xp
:
n ꢁ 1
The RMS error of the observed IR bands is found to 27.57 for HF
and 11.43 for DFT methods, respectively. The small differences be-
tween experimental and calculated vibrational modes are ob-
served. This is due to the fact that experimental results belong to
solid phase and theoretical calculations belong to gaseous phase.
NBO analysis
In NBO analysis, the input atomic orbital basis set is trans-
formed via natural atomic orbitals and natural hybrid orbitals into
natural bond orbitals. The NBOs obtained in this fashion corre-
spond to the widely used Lewis picture, in which two center bonds
and lone pairs localized [43]. The natural bond orbitals (NBO) cal-
culations were performed using NBO 3.1 program [44] as imple-
mented in the Gaussian09 package at the DFT/B3lYP level in
order to understand various second order interactions between
the filled orbitals of one subsystem and vacant orbitals of another
subsystem. In the NBO analysis, the electronic wave functions are
interpreted in terms of a set of Lewis and a set of non-Lewis local-
ized orbitals [45]. Delocalization effects can be identified from the
presence of off diagonal elements of the Fock matrix in the NBO ba-
sis. The output obtained by the second order perturbation theory
analysis is normally the first to be examined by the experience
NBO user in searching for significant delocalization effects. How-
ever the strength of these delocalization interactions E(2) are esti-
mated by the second order perturbation theory as estimated by the
equation
2
and the other n1(O4) occupy
a
lower energy orbital
ðFi;jÞ
Eð2Þ ¼ Eij ¼ qi
D
(ꢁ0.72047 a.u.) with p-character (36.23%) and high occupation
number (1.97575 a.u.). Also n2(O5), which occupy a higher energy
orbital (ꢁ0.31340 a.u.) with considerable p-character (99.81%) and
low occupation number (1.91246 a.u.) and the other n1(O5) occupy
a lower energy orbital (ꢁ0.83453 a.u.) with p-character (19.55%)
and high occupation number (1.97776 a.u.). Thus, a very close to
pure p-type lone pair orbital participates in the electron donation
to the r⁄(CAC) orbital for n2(Cl1) ? r⁄(CAC) and n(O) to r⁄(NAC),
p⁄(OAC), p⁄(OAN) and n(O) to r⁄(NAC) interactions in the com-
pound. The results are given in Table 6.
ðEj ꢁ EiÞ
where qi is the donor orbital occupancy, Ei, Ej the diagonal elements,
and Fij is the off diagonal NBO Fock matrix element.
In NBO analysis large E(2) value shows the intensive interaction
between electron-donors and electron-acceptors and greater the
extent of conjugation of the whole system, the possible intensive
interactions are given in Table 5. The second-order perturbation
theory analysis of Fock matrix in NBO basis shows strong intramo-
lecular hyper-conjugative interactions of p-electrons. The intramo-
lecular hyper-conjugative interactions are formed by the orbital
overlap between n(Cl and p⁄(CAC) bond orbital which results in
ICT causing stabilization of the system. The strong intramolecular
hyper-conjugative interaction of C10AC12 from Cl1 of n3(Cl1) ? p⁄(-
First hyperpolarizability
The nonlinear optical activity provides the key functions for fre-
quency shifting, optical modulation, optical switching and optical
C10AC12) which increases ED (0.37434e) that weakens the respec-