A. Karakas¸ et al. / Journal of Molecular Structure 702 (2004) 103–110
109
projection of btot quantities [30]. The dipoles may oppose
or enhance one another or at least, bring the dipoles the
required or out of the required net alignment necessary for
NLO properties such as btot values. The connection between
the electric dipole moments of an organic molecule having
donor–acceptor substituents and first hyperpolarizability is
widely recognized in Refs. [2,31–34]. Several research
groups have tried to identify molecules with potentially
optimal nonlinearities through the two-level model. For
example, Marder et al. [35–38] used a four-site Hu¨ckel
model to examine how each of the two-level parameters
varies with the electron donating and electron accepting
abilities of appended substituents. The b responses derived
from this model were not optimized with maximal electronic
asymmetry unique to a given bridge structure. The maximum
was due to the behavior of non-zero m value. One of their
conclusions obtained from this work is that non-zero m value
might permit to find non-zero b value. In this study, so that
the first hyperpolarizabilities are computed by the numerical
second-derivatives of the electric dipole moments according
to the applied field strength in FF approach, there are rather
strong relationship among the calculated m and btot values of
the compounds 1–6. Therefore, these m values of the
compounds in Table 5 may be responsible for enhancing and
decreasing the btot values given in Table 4.
at MP2 3-21 þ G** level encourage the future use of these
compounds (Fig. 2) for electro-optics applications.
Our computational results yield that the donor–acceptor
substitution at appropriate positions enhances the btot and m
values (Tables 4 and 5). While the best btot results might be
obtained from the compounds having ortho and para
resonance interactions [29], Cheng et al. [28] have found
that the btot values of the compounds with substituents at
meta and ortho positions are rather small. In addition, we
have also computed that the compound 1 with substituents
at meta and ortho positions and, the compound 2 with ortho
and para resonance interactions have more interesting m and
btot values found as the smallest and the greatest for the
compounds 1 and 2, respectively, than the other investigated
compounds.
NLO properties for organic compounds are related to the
wavelength of absorption: molecules having a large l of
absorption show good hyperpolarizabilities. Thus, our
theoretical btot values could be clearly correlated with
spectroscopic data of UV–Visible in order to understand the
molecular structure–NLO property relationship in view of a
future optimization of the macroscopic NLO properties of
this family of Schiff bases. It has been found that the
synthesized the compounds 1 and 2 have rather great btot
and l values having shorter than 400 nm, implying good
optical nonlinearity.
The ab-initio calculated btot and m values for all the
compounds show that also it could be interesting to
synthesize the compounds 1 and 2 having the greatest and
the lowest, respectively, btot and m values. It is important to
stress that, in these btot investigations, we do not take into
account the effect of the field on the nuclear positions, i.e.
we evaluate only the electronic component of btot: The
vibrational contributions which, for conjugated systems, can
be important according to the NLO process are left for
further investigations.
Acknowledgements
The authors wish to acknowledge that this work was
supported by the Research Funds of Selc¸uk University and
Ankara University under grant numbers 2003/030 and CHE
2003 00 00 041, respectively.
References
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