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R. Nandi et al. / Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy 128 (2014) 248–256
Parr hybrid functional for correlation part (B3LYP) [25,26]. The
optimization of monomer and frequency calculation were done
with basis set 6-31G(d,p). We have also evaluated dimers with ba-
sis set 6-31G(d). The input structure was drawn and the output
geometry as well as vibrational animations were observed in Gauss
View 4.1 [27]. Potential energy distribution (PED) for accurate
vibrational assignment was done using GAR2PED software [28].
The Gaussian-03 output gives the Raman activity which comes
from the second derivative of the polarizability with respect to
the normal coordinate [29,30] and can be converted into Raman
intensity. Raman intensity is proportional to the Raman scattering
The lower and higher homologues of MABBAB with hexyloxy and
octyloxy chain lengths (MABBAB-6 and MABBAB-8) and dodecyloxy
to hexadecyloxy chain lengths (MABBAB-12, 14 and 16) show
similar phase behaviour and transition behaviour as obtained
through POM and DSC studies for MABBAB-10. The observation of
SmA phase for all the compounds of the series could be expected. In-
deed, lamellar mesophases are most commonly observed for cala-
mitic (rod like) compounds with polar end group. The strong
dipole moment in the series of compound due to polar methyl ben-
zoate group at one end and anisotropic tail at opposite end promotes
intermolecular interactions between neighbouring layers by
cross section; d
r
/d
x
, which is given by the expression:
dipole–dipole interactions and hence stabilizes
arrangement.
Table 1 summarizes the thermodynamic parameters associated
with the mesomorphic transitions of the MABBAB. The large en-
a lamellar
2
3
4
d
r
24p4
45
ð
m0
ꢁ
mj
Þ
h
4
5
ꢀ
ꢁ
¼
Sj
8p
2cmj
ꢁhcmj
dx
1 ꢁ exp
kT
thalpy (DH) and entropy changes (DS) are observed for these com-
pounds during the transitions from crystal to liquid crystal and
liquid crystal to isotropic states for lower to higher homologues.
In the series of MABBAB 6 ? 16, liquid crystal transition tem-
perature decreases from hexyloxy (MABBAB-6) to decyloxy deriv-
ative (MABBAB-10) and again increases for dodecyloxy
(MABBAB-12) to hexadecyloxy (MABBAB-16) in heating and cool-
ing cycle both as shown in Fig. 3. Thus, in the series of MABBAB
6 ? 16, a random order of melting (Tm) and isotropization temper-
atures (Ti) is found. Although, Tm and Ti generally decrease with in-
crease in the spacer length due to the plasticization effect of the
long alkyl spacers in mesogenic compounds [34]. Therefore, it
can be concluded that along with packing/disassembling some
molecular phenomenon is also playing role which affects the Tm
and Ti of the mesogens. It will be further discussed in DFT section.
where m0 is the excitation frequency, mj is the harmonic vibrational
wavenumber of the jth normal mode and Sj is the Raman activity of
the jth normal mode. The Raman scattering cross section for the
individual modes is calculated using the above relationship, which
gives the relative intensity.
Result and discussions
Mesomorphic property
Differential scanning calorimetry (DSC) and polarized optical
microscopic (POM) studies
The mesomorphic properties of MABBAB were characterized and
investigated by DSC and POM. The phase transition temperatures
and thermodynamic data of the compounds are listed in Table 1.
All the compounds exhibit enantiotropic SmA mesophase.
The DSC thermograms of all compounds of MABBAB series are
shown in Fig. 1. In the first heating scan of MABBAB-10, two sharp
peaks appear at 95.9 and 143.3 °C (Fig. 1a). The DSC thermogram re-
corded in the cooling scan exhibits two separate peaks at 133.3 and
83.5 °C (Fig. 1b). POM observations reveal that upon heating from
crystal state to 95.9 °C, oily streak textures with homeotropic areas
emerges as shown in Fig. 2. It is to be noted that oily streak texture is
commonly observed for chiral compounds as cholesteric mesophase
while fan shaped texture is characteristic of smectic phase [31]. Our
compounds are simple rod like in nature and are not chiral at all. Oily
streak texture for smectic phase is very rare, however, few such re-
ports of oily streak texture for smectic phase are available in the lit-
erature [32,33]. Furthermore, taking thin layer of MABBAB-10
exhibits typical focal conic textures of the SmA mesophase with
some oily streak textures under cross polarizer in heating cycle
(Fig. 2b). In cooling cycle, POM observation reveals typical focal
conic textures of SmA mesophase with hexagonal patterns that
emerges from 133.3 °C and solidifies at 83.5 °C (Fig. 2c). Reheating
regenerates the same mesophase with similar pattern; that is, the
mesomorphism is enatiotropic.
DFT study
The various inter-molecular and induced intra-molecular inter-
actions decide the symmetry and packing of the molecules that
play a crucial role in formation of LC phases and their physical
properties. Therefore optimization of monomer and dimers, calcu-
lation of harmonic wavenumber and vibrational assignment with
PED have been done to investigate the molecular properties using
the DFT method. We optimized all the members of MABBAB. The
optimized structure of MABBAB-10 molecule is shown in Fig. 4.
The absence of any imaginary frequency in the calculated vibra-
tional frequencies ensures that the optimized geometry corre-
sponds to a true energy minimum and most of the molecules are
favoured to present at this structure. The dihedral angles of linking
groups and dipole moment of all compounds of series are almost
same for all members.
The room temperature experimental and theoretical spectra of
MABBAB-10 are shown in Fig. 5. In the DFT calculation, the
B3LYP function tends to overestimate the wavenumber of the fun-
damental modes compared to the experimentally observed values
due to the combination of electron correlation effects and basis set
deficiencies. In order to obtain a considerably better agreement
Table 1
Thermal transitions and corresponding thermodynamic parameters of MABBAB 6-16.
No.
Compounds
T (°C) [
DH, kJ/mol; DS, J/(mol K)]
Heating
Cooling
1
2
3
4
5
6
MABBAB-6
MABBAB-8
MABBAB-10
MABBAB-12
MABBAB-14
MABBAB-16
k 118.9 (33.2; 84.7) SmA 158.6 (6.0; 14.1) i
k 117.5 (24.5; 62.8) SmA 155.0 (9.0; 21.1) i
k 95.9 (21.0; 56.9) SmA 143.3 (22.1; 52.9) i
k 102.7 (28.5; 75.7) SmA 137.5 (15.9; 39.3) i
k 106.8 (74.5; 196.1) SmA 136.5 (12.2; 29.8) i
k 97.8 (66.4; 178.9) SmA 130.9 (12.9; 31.8) i
i 135.7 (ꢁ10.8; ꢁ26.4) SmA 102.6 (ꢁ32.0; ꢁ85.2) k
i 141.8 (ꢁ2.6; ꢁ6.2) SmA 111.7 (ꢁ22.1; ꢁ57.4) k
i 133.3 (ꢁ16.7; ꢁ41.2) SmA 83.5 (ꢁ21.8; ꢁ61.1) k
i 127.5 (ꢁ13.7; ꢁ33.6) SmA 88.3 (ꢁ31.9; ꢁ88.4) k
i 125.6 (ꢁ12.2; ꢁ30.6) SmA 85.7 (ꢁ29.9; ꢁ83.5) k
i 126.6 (ꢁ8.3; ꢁ20.7) SmA 65.3 (ꢁ29.6; ꢁ87.4) k
Abbreviations: k = crystalline state, SmA = smectic A mesophase, i = isotropic liquid.