Chemical Papers
The optical density at 570 nm, which has direct correlation
with cell quantity, was read for each plate after thorough
mixing. Following usual practice, the results are represented
as percentage viability. All the measurements were repeated
thrice for the purpose of accuracy.
N16–C18, C18–N20) in order to obtain dihedral angles cor-
responding to C2–C13, N15–N16, N16–C18, and C18–N20
bonds (see Table S1 of supplementary information), which
can be employed as starting values for further computations.
Note that the computations were made at 1083 (i.e. 3×361)
data points for the three pairs of bonds, as each pair of bond
contains 19×19=361 such points. The values of dihedral
angles obtained, as above, were used in rigorous geometry
optimization, by allowing all structural parameters to relax,
simultaneously. This procedure gave a nonplanar structure
of C1 symmetry for APHT. Absence of imaginary or nega-
tive frequencies substantiated the reliability of the results for
optimized structure.
Computational considerations
program package (Frisch et al. 2010). Becke’s three param-
et al. 1988) using enlarged basis set 6-311++G(d,p).
In order to get chemically meaningful results, DFT geom-
etry optimization should be initiated with the experimental
structure data if available, or a structure, obtained by using
theoretical methods, that is as close to the fnal structure as
possible. For APHT, experimental information is not avail-
able. There are fve bonds (C–NH2 pyridyl, C–CN, N–N,
N–CS, C–NH2 aliphatic) in APHT, around which rotation
is permitted. Their values are not known with certainty. If
calculations are initiated, using assumed values for the dihe-
dral angles associated with these fve bonds, and then the
possibility of getting unrealistic results, such as generation
of negative frequencies, may not be avoided. We addressed
this problem, for biphenyl carboxaldehyde (BPA), by pair-
ing bonds that can rotate and evaluating torsional potential
energy at various values of dihedral angles about the paired
bonds (Srishailam et al. 2019). But, each BPA molecule con-
such pairs. Hence, we want to examine the method used
for BPA in order to check whether it works, for APHT as
well. Therefore, torsional potential energy, as a function of
angle of rotation, around C–CN bond (i.e. C2–C13 bond; see
Fig. 4 for numbering of atoms), was estimated, between 0°
angle of rotation around C–NH2 (pyridyl) bond (i.e. C1–N10
bond) in increments of 10°, between 0° and 180°, for APHT,
without disturbing all other structure parameters imported
from Gauss View (Dennington et al. 2009). This provides
19 × 19 = 361 data points). In each data set, one can iden-
tify the minimum energy conformer and the corresponding
angle of rotation around the C2–C13 bond (note that there
are 19 minimum energy points, see Table S1 of supplemen-
tary information). Then, a graph was drawn showing rela-
tive energy (which is the energy of rotamer with respect to
the energy of rotamer of the lowest energy) versus angle of
rotation around the C1–N10 bond. This gave us the dihe-
dral angle around C1–N10 bond, corresponding to the stable
rotamer. The above procedure was repeated for the pair of
bonds C–CN, N–N (i.e. C2–C13, N15–N16), N–N, N–CS
(i.e. N15–N16, N16–C18), and N–CS, C–NH2 aliphatic (i.e.
From the above discussion, it should be clear that the
torsional potential energy was evaluated at 1444 difer-
ent data points (361 data points for each of the four bond
pairs). It may appear that these is a collection of discrete
and disconnected data points. This is not true because the
data relationship under discussion propagates from C–NH2
pyridyl to C–NH2 aliphatic with the help of common bonds
C–CN, N–N, and N–CS, which are common to the bond
pairs (C–NH2 pyridyl, C–CN; C–CN, N–N), (C–CN, N–N;
N–N, N–CS) and (N–N, N–CS; N–CS, C–NH2 aliphatic),
respectively. Hence, the data corresponding to 1444 data
points are related, interconnected, and correlated just like
the elements of a matrix. Hence, an analysis of these data
points is expected to yield reliable, convincing, and scientif-
cally acceptable results, for the dihedral angles, to be used
as preliminary values, as in the case of APHT presented in
the preceding paragraph.
In the case of APMHT, geometry optimization pro-
Ramaiah et al. (2018) and CDCC fle number 1576355. This
also yielded nonplanar structure of C1 symmetry.
To simulate electronic absorption spectra of APHT and
APMHT, time-dependent density functional theory (TD-
DFT) was used employing B3LYP/6-311++G(d, p) basis
set. Solvent efects were accounted for, by the Polarisable
Continuum Model (PCM) through the integral equation
formalism (IEF-PCM) variant (Scalmani and Frisch 2010)
integrated into Gaussian 09 program package. Computed
values of absorption maxima were compared with their cor-
responding observed values in UV–Vis spectra.
To understand NLO behaviour of APHT and APMHT,
computation of the total molecular dipole moment (μt) and
its components, total molecular polarizability (αt) and its
components, anisotropy of polarizability (∆α), and frst-
order static hyperpolarizability (βt) was attempted accord-
ing to Buckingham’s defnition (Buckingham 1967) using
density functional theory based on fnite feld approach.
Using frontier molecular orbital energies, comprising
of highest occupied molecular orbital (HOMO) and low-
est unoccupied molecular orbital (LUMO), we obtained
1 3