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M. Udayakumar et al. / Journal of Molecular Structure 1133 (2017) 510e518
2.3. Theoretical calculation
puckering parameters [Q
¼
0.480(2) Å, q2
¼
0.418(2) Å,
q3 ¼ ꢀ0.238(2) Å,
q
¼ 119.7(2)ꢂ and 4 ¼ 359.0(3)ꢂ for the atom
2
The crystal structure of the title compound was used as the
starting conformation for the gas phase geometry optimization for
the monomer with the Gaussian 09 program package [21]. Further,
two most stabilized dimers were considered on account of their
interaction energies from the PIXEL energy calculation. These di-
mers were optimized without any geometrical constraints using
the dispersion corrected M05-2X functional [22] with the 6-
31þG(d) basis set. Based on the previous studies, we selected the
M05-2X functional [20,23]. The CPCM method was used to include
the effect of the DMSO solvent. Furthermore, the vibrational fre-
quencies were computed to confirm the proper convergence to
global minima. The results obtained confirmed that no imaginary
frequencies were present. Moreover, the interaction energy Eint was
calculated for two different dimers after incorporating the zero
point vibrational energy (ZPVE) and counterpoise correction with
an account of basis set superposition error (BSSE) [24]. The second
order perturbation energies E(2) were computed for the two
different dimers using the natural bond orbital (NBO) program as
implemented in Gaussian 09 program. The topological analysis was
performed using the AIMALL package [25]. The time dependent-
DFT (TDDFT) calculation was carried out by extracting a mini-
mum of 100 roots using the time dependent Kohn-Sham formalism
[26].
sequence C18eC19eC20eC21eC22eC23]. In ring D, atom C21
is ꢀ0.327(2) Å from the plane containing the five remaining atoms.
The dihedral angle between ring D and the A/B/C rings are 65.13(6),
71.66(6) and 73.57(5)ꢂ, respectively. It is of interest to note that the
ring C exhibits a distorted envelope conformation. Atoms C11 and
C12 deviate by 0.344(2) and ꢀ0.284(2) Å, respectively from the
mean plane formed by ring C atoms. The Cremer & Pople puckering
parameters for this ring are Q ¼ 0.492(2) Å, q2 ¼ 0.413(2) Å,
q3 ¼ 0.267(2) Å,
q
¼ 57.1(2)ꢂ and 4 ¼ 134.0(3)ꢂ for the atom
2
sequence C9eC10eC11eC12eC13eC14. The C11eC15 and C11eC16
bonds are oriented equatorially and axially, respectively. Similarly,
the C21eC25 and C21eC26 bonds are oriented equatorially and
axially, respectively. In the methyl (II) and bromo analogs (III), rings
C and D have envelope conformations. These substitutions do not
affect the conformations of rings C and D.
The HS diagram and the two dimensional fingerprint plots are
given in Fig. 2. This analysis suggests that the intermolecular H/H
contacts contribute more (66.2%) to the crystal packing when
compared to the other contacts present in the crystal structure of
(I). As shown in Fig. 2, the shortest H/H contact in the fingerprint
plot as characteristic spikes (di þ de y 2.2 Å). The crystal structure is
also dominated by the intermolecular O/H/H/O and C/H/H/C
type contacts. The relative contributions of the O/H/H/O and
C/H/H/C contacts are 18.5% and 14.2%, respectively, to the total
HS area of the molecule. The shortest O/H/H/O contacts are
represented as sharp spikes (di þ de y 1.7 Å). The C/H/H/C
contacts are appeared as wings in the fingerprint plot with the
shortest contact di þ de y 2.8 Å. This type of contact is mainly
3. Results and discussion
3.1. Description of crystal structure
represented for CeH/p interactions. In (II) and (III), the intermo-
The single crystal X-ray diffraction data for the title compound
reveals that the crystal has the space group P21/c and belongs to the
monoclinic system. The title compound (I) crystallizes with just one
molecule in the asymmetric unit and ORTEP diagram of the title
compound with atom-numbering scheme is shown in Fig. 1. It is
clearly seen from the bond length [C19eO24 ¼ 1.337(2) Å] that the
title compound exists in the enol form. The values of the dihedral
angles between every two rings, i.e. A and B, A and C, and B and C
pairs, are 6.97(6), 14.38(7) and 9.60(6)ꢂ, respectively. Ring D adopts
an envelope conformation as shown by the Cremer & Pople [27]
lecular H/H contacts are predominant as observed in (I). For these
two structures, the HS diagram and the 2D fingerprint plots are
given in the supplementary section (Figs. S1eS2). Due to the
presence of methyl (II) and bromine (III) substituents on ring A, the
H/H contributions are altered [68.8% in (II) and 55% in (III)]. The
reduction of H/H contacts in (III) is compensated by the inter-
molecular H/Br contacts (11.9%). The intermolecular O/H/H/O
type contacts are nearly the same in (I) and (II). However, these
contacts are slightly reduced by ca. 2% in (III). Similar reduction is
also observed for C/H/H/C type contacts in (II) and (III) when
compared to (I).
The lattice energy is calculated at the crystal geometry using the
PIXEL method. Comparative lattice energy of structures (IeIII) is
given in the supplementary section (Table S1). The total lattice
energy was calculated to be ꢀ47.9 kcal molꢀ1 for (I). The corre-
sponding Coulombic, polarization, dispersion and repulsion en-
ergies are ꢀ13.5, ꢀ14.2, ꢀ38.4 and 18.1 kcal molꢀ1, respectively. It is
worthy to note that the dispersion contribution (58%) is greater
than the Coulombic (20%) and polarization (21%) contributions.
Moreover, lattice energy calculation shows that structure (II) is
5.2 kcal molꢀ1 more stable than structure (I) and structure (III) is
4.4 kcal molꢀ1 more stable than structure (I). Structures (II) and (III)
were observed to have similar lattice energies (see Table S1).
The interacting pair of molecules in (I) along with various en-
ergy components is listed in Table 1. In the crystal structure of the
title compound, the hydroxy group (O24eH24) is participating in
an intermolecular OeH/O hydrogen bonding interaction with the
carbonyl oxygen atom (O27). As a result, two molecules form a keto-
enol type hydrogen-bonded dimer (motif I; Dimer-I) as clearly seen
as an intense red spot on the HS diagram shown in Fig. 2. This dimer
is further stabilized by three intermolecular CeH/O interactions.
One of the carbonyl atom (O17) acts as an acceptor for these
intermolecular CeH/O interactions. It is of interest to note that the
two different methyl groups (via H15A and H16A) from ring C act as
Fig. 1. ORTEP diagram and atom-numbering scheme for title compound (I). Rings are
labelled.