synthesis, x-ray structural and vibrational analysis using...
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CHAPTER III
SYNTHESIS, X-RAY STRUCTURAL AND VIBRATIONAL
ANALYSIS USING DFT STUDY OF 4-METHYL-N-
(NAPHTHALENE-1-YL)BENZENE SULFONAMIDE
3.1 INTRODUCTION
Sulfonamides, an important class of pharmaceutical compounds exhibit a
wide spectrum of biological activities [1-3]. Over 30 drugs containing this
functionality are inclinical use, including, antibacterials, diuretics, anticonvulsants,
hypoglycemics and HIV protease inhibitors[4 ]. More recently, sulfonamides have
been found to be potent cysteine protease inhibitors, which could possibly extend
their therapeutic applications to include conditions such as Alzheimer’s disease,
arthritis and cancer [5-6]. The vast majority of sulfonamides are prepared from the
reaction of a sulfonyl chloride with ammonia or primary or secondary amines or
via related transformations [7,8].
The structure of naphthalene is benzene like, having two-six membered
rings fused together. Naphthalene resembles benzene in many of its reaction
although it is somewhat less aromatic but more reactive than benzene. Naphthalene
and its derivatives are used as a parent compound to make many drugs, a precursor
for the synthesis of plastics and dyes, also used synthetic resins, in dye stuffs,
coatings and celluloid [9-11]. Especially, naphthalene was studied because of its
technological applications in a vast amount of industrial process [9].
Extensive experimental and theoretical investigations have focused
on elucidating the structure and normal vibrations of naphthalene and
its derivatives. Doroto et al [12] reported experimental and theoretical
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76
examination of intramolecular motions in N-(4–X–naphthalene–1–yl)–N–ethyl–4-
methylbenzenesulfonamides. Shoba et al[13] reported FT-IR and FT-Raman
vibrational analysis, ab initio HF and DFT simulations of isocyanic acid
1-naphthyl ester.
Srivastava has investigated the infrared and Raman spectrum of the
condensed and liquid phase naphthalene and its cation [14]. Extensive recent
studies of vibrational spectra of substituted naphthalene compounds have assigned
[13-16] complete vibrational mode and frequency analyses. Arivazhagan et al [10]
studied the molecular structure and vibrational spectra of 1,5-dinitronaphthalene.
The vibrational spectra and normal coordinate analysis of plant growth regulator
1-naphthalene acetamide was investigated by Ravikumar et al [15]. Kavitha et al
[16] have studied the molecular structure, vibrational frequencies and NBO
analysis of naphthalene acetic acid. Govindarajan et al. [11] investigated
vibrational analysis of 1-Methoxynaphthalene by experimental techniques (FT-IR
and FT-Raman) and DFT methods. The IR and Raman spectra of the 2,6-, 2,7-, and
2,3-diisopropylnaphthalene molecules were calculated at the B3PW91/6-311G*
level and interpreted in terms of the potential energy distribution (PED) analysis by
Jamroz et al [17]. The vibrational properties of 1-naphthaldehyde have been
investigated by FT IR and FT-Raman spectroscopies and quantum chemical
calculations which were performed on the basis of DFT(B3LYP) method by
Krishnakumar et al [18]. Green and Harrison investigated the vibrational spectra of
monosubtituted naphthalenes [19].
Pimental et al [20] reported a spectroscopic study of naphthalene with
vibrational analysis. Polarized spectra of single crystals were taken and the infrared
dichroic effects were interpreted by an oriented-gas model.
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77
Sellers et al [21] reported theoretical prediction of vibrational spectra, force
field, refined geometry and reassignment of the vibrational spectrum of
naphthalene. The complete haromonic force field of naphthalene has been
calculated by ab initio at the 4-21 HF level.
A combined experimental and theoretical study on molecular and
vibrational structure of 2,3-dimethylnaphthalene has been presented by Prabhu
et al [22]. The FTIR and FT-Raman spectra were recorded in the region
4000-100 cm-1. The optimized geometries were calculated by HF and DFT
methods. The harmonic frequencies, IR intensity and Raman activities were
evaluated. From the vibrational analysis of the study it was concluded that the
substitution of methyl group in the naphthalene ring distorts the geometry and the
planarity of the molecule to some extent.
Several studies have been conducted on the vibrational spectra,electron
exchange, structural stability, lattice vibrations, antiresonance of naphthalene using
normal co-ordinate analysis and resonance Raman spectral analysis [23–35]. Das
et al. [36] studied the infrared spectra of dimethylnaphthalenes in the gas phase.
Librando and Alparone [37-39] investigated methyl naphthalene isomers on
quantum mechanical approach and the electronic polarizability of
dimethylnaphthalenes. Because of their spectroscopic properties and chemical
significance in particular, naphthalene and its derivatives have been studied
extensively by spectroscopic techniques and theoretical methods.
Since naphthalene and its derivatives have wide applications in the
biological, pharmaceutical and industrial processes 4-methyl-N-(naphthalene-1-yl)
benzene sulfonamide (abbreviated 4MNBS) has been taken for the present study.
And also, to the best of our knowledge, neither crystal structure nor DFT
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78
calculation of 4MNBS has been reported. Therefore, synthesis, crystal structure,
spectral studies, NBO analysis, atomic charges, Homo-Lumo analysis and
Molecular electro static potential of 4MNBS are reported here. Triclinic structure
of the title compound has been deposited at the Cambridge Crystallographic Data
Center with the deposition number CCDC 765626 for [4MNBS]. The geometrical
parameters, fundamental frequencies in the ground state have been calculated by
using the DFT (B3LYP) method with 6-31G (d,p) basis set, and compared with
experimental data. Recently, computational methods based on density functional
theory are becoming widely used. These methods predict relatively accurate
molecular structure and vibrational spectra with moderate computational effort. In
particular, for polyatomic molecules (typically normal modes exceeding 50) the
DFT methods lead to the prediction of more accurate molecular structure and
vibrational wavenumbers than the conventional ab initio restricted Hartree-Fock
(RHF) and Moller-plesset second order perturbation theory (MP2) calculations.
3.2 SYNTHESIS
1-naphthyl amine (7.15gm), Diethylamine (4ml) were dissolved in acetone
(8 ml). To this solution, 4-methyl benzene sulfonyl chloride (9.53gm) in acetone
(12.5ml) was added in drops with continuous stirring of the solution. The resulting
solution was allowed to evaporate. The residue was washed several times with
water and then with petroleum ether. The crude product of the title compound was
recrystallized from ethanol. After one week colourless crystals suitable for x-ray
diffraction studies were obtained. The scheme of the synthesis is shown in
Figure 3.1.
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Figure 3.1 Pathway of the synthesis of the title compound.
CH3
SO2Cl
NH2
+
NHSO2 CH3
ACETONE
︵C2H5 ︶2NH
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79
3.3 COMPUTATIONAL DETAILS
The entire calculations conducted in the present work were performed at
B3LYP levels included in the Gaussian 03W package [33] program together with
6-31G (d,p) basis set function of the density functional theory (DFT) utilizing
gradient geometry optimization [34]. Initial geometry generated from standard
geometrical parameters was minimized without any constraint in the potential
energy surface at Hartree-Focklevel, adopting the standard 6-31G (d,p) basis set.
This geometry was reoptimized again at B3LYP level, using basis set 6-31G (d, p)
for better description. The optimized structural parameters were used in the
vibrational frequency calculations at the DFT levels to characterize all stationary
points as minima. At the optimized structure of the examined species, no
imaginary frequency modes were obtained proving that a true minimum on the
potential energy surface was found. We have utilized the gradient corrected density
functional theory[35] with the three parameter hybrid functional (B3) [36] for the
exchange part and the Lee- Yang –Parr (LYP) correlation function [37], accepted
as a cost effective approach for the computation of molecular structure, vibrational
frequencies and energies of optimized structures. By combining the results of the
Gauss view program [38] with symmetry considerations, vibrational frequency
assignments were made with a high degree of accuracy. The harmonic Vibrational
frequencies were calculated at the same level of theory for the optimized structures
and obtained frequencies were scaled by 0.961. 1H and 13C chemical shifts were
calculated with GIAO method using corresponding TMS shielding calculated at
the B3LYP (6-31G (d,p)) level. The natural bonding orbitals (NBO) calculations
[39] were performed using NBO 3.1 program as implemented in the Gaussian 03W
[33] package at the DFT/B3LYP/6-31G(d,p) level in order to understand various
second order interactions between the filled orbitals of one subsystem and vacant
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80
orbitals of another subsystem, which is a measure of the intramolecular
delocalization or hyper conjugation. HOMO and LUMO analysis have been used
to elucidate the information regarding charge transfer within the molecule.
Molecular electrostatic potential analysis has been used to find the reactive sites of
the compound.
3.4 SINGLE CRYSTAL X-RAY DIFFRACTION ANALYSIS
3.4.1 Crystal Structure Determination
A crystal with dimensions of 0.28 x 0.22 x 0.18 mm was used for
collection of intensity data on a “Bruker Apex II CCD” area detector
diffractometer with graphite monochromated MOKα radiation (0.71073), ω scan
technique. The programs used to solve and refine the structure were SHELXS-97,
SHELXL97 and PLATON [40-41]. The refinement was carried out by using the
Full matrix least square on F2. All non hydrogen atoms were refined
anisotropically. All hydrogen atoms were geometrically fixed and refined with
isotropic thermal parameters. Crystallographic details are shown in Table 3.1,
whereas selected bond lengths and bond angles are shown in Table 3.2.
3.4.2 Crystal Structure analysis
An ORTEP [49] view of the title compound is shown in Figure 3.2. In the
crystal structure of the title compound (C17H15NO2S), the dihedral angle between
the mean planes of the tolyl and naphthyl ring is 66.6(3)⁰. This shows their non
coplanar conformation. This is in contrast with the near coplanar conformation
reported for the crystal structure of 4-[(2-hydroxy-benzylidene)-amino]-N-(5-
methyl-isoxazol-3-yl)-benzenesulfonamide [50]. All the C-C and C-O bond
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Table 3.1 Crystal data and structure refinement parameters for 4MNBS
Empirical formula C17 H15 N O2 S Formula weight 297.36 Temperature 298(2) K Wavelength 0.71073 Å Crystal system, space group Triclinic, p-1 Unit cell dimension a = 10.3873(7)Å α =75.735(3)⁰ b = 10.4090(7)Å ß=70.737(3)⁰ c = 15.7084(10)Å ᵞ= 68.120(3)⁰ Volume (Å3) 1472.98(17) Z, Calculated density 4, 1.341 Mg/m3
Absorption coefficient 0.223 mm-1
F(000) 624 Crystal size 0.28 x 0.22 x 0.18 (mm3) Theta range for data collection 1.39 to 28.63⁰ Limiting indices -13<=h<=13, -14<=k<=12, -20<=l<=16 Reflections collected / unique 18793 / 6687 [R(int) = 0.0565] Completeness to theta = 25.00 96.3 % Max. and min. transmission 0.9609 and 0.9402 Refinement method Full-matrix least-squares on F2
Data / restraints / parameters 6687 / 0 / 390 Goodness-of-fit on F^2 0.933 Final R indices [I>2sigma(I)] R1 = 0.0534, wR2 = 0.1057 R indices (all data) R1 = 0.1675, wR2 = 0.1460 Extinction coefficient 0.0106(15) Largest diff. peak and hole 0.210 and -0.253 e.Å-3
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Table 3.2 Selected molecular structure parameters of 4MNBS Parameters Experimental B3LYP6‐31G(d,p)
Bond Lengths (Å) C1‐C2 1.372(4) 1.397 C1‐C6 1.376(4) 1.394 C3‐C4 1.369 1.401 C5‐C6 1.374 1.391 C2‐C3 1.384 1.394 C4‐C7 1.507(4) 1.509 C1‐S1 1.747(3) 1.789 S1‐O1 1.435(2) 1.467 S1‐O2 1.427(2) 1.467 S1‐N1 1.626 1.647 N1‐H1 0.77(3) 1.018 C7‐H(7A) 0.96 1.093 C8‐N1 1.419(4) 1.44 C8‐C17 1.432(4) 1.421 C8‐C9 1.359(4) 1.381 C10‐C11 1.35(4) 1.375 C13‐C14 1.348(5) 1.375 C9‐C10 1.394(4) 1.376 C8‐C17 1.432(4) 1.43 C11‐C12 1.411(4) 1.415 C12‐C13 1.417(4) 1.421 C12‐C17 1.423(4) 1.421 C14‐C15 1.391(4) 1.412 C9‐H9 0.93 1.084 Bond angles(⁰) C2‐C1‐S1 120.8(2) 119.6 C6‐C1‐S1 119.0(2) 119.3 C1‐C2‐C3 119.3(3) 120.2 C1‐C2‐H2 120.3 120.4 C3‐C2‐H2 120.3 121.1 C3‐C4‐C5 117.5(3) 118.5 O2‐S1‐N1 108.88(15) 109.5 O1‐S1‐C1 108.05(13) 109.1 O2‐S1‐O1 118.86(12) 121.2
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O1‐S1‐N1 104.77(14) 105.5 N1‐S1‐C1 107.77(14) 108.6 C8‐N1‐S1 125.3(2) 124.1 C4‐C7‐H7(A) 109.5 111.5 C4‐C3‐C7 121.5(4) 120.6 C17‐C8‐N1 120.3(3) 118.12 C9‐C8‐C17 120(3) 120.61 C9‐C8‐N1 119.6(3) 121.24 C8‐N1‐H(1N) 115(2) 114.8
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Figure (3.2a) An ORTEP drawing of 4MNBS, with the atom numbering Scheme. Displacement ellipsoids are drawn at the 30% Probability level.
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81
lengths are comparable to the reported mean values of Caro-Caro =1.380Å and C-C
=1.530Å [51].
The atoms around the ‘S’ atom in the title compound exhibit a slightly
distorted tetrahedral configuration with the largest angle O (2)-S (1)-O (1) of
118.86(12) °, but it conforms to the non-tetrahedral arrangement commonly
observed in sulfonamides [52-58]. The bond angle N1-S1-C1 of 107.70 (14) ° is
correspondingly smaller than the tetrahedral value of 109° [59]. The S1-C1
distance of 1.7561(13) Å is normal single bond value and agrees well with those
observed in other sulfonamides [60-61]. The two torsion angles τ1(C-C-S-N) and
τ2(C-S-N-C) defining the conformation of the sulfonamide group were reported to
lie in the range 70-120⁰ and 60-90⁰ respectively [62]. In the present crystal
structure, the torsion angles τ1 (C6-C1-S1-N1) and τ2 (C8-N1-S1-C1) are
70.3 (3)⁰ and 66.6(3)⁰ respectively. The position of the methyl group C7 is defined
by the torsion angles τ1 (C7-C4-C5-C6) and τ2 (C2-C3-C4-C7) are -178.4(3) and
178.2 (3)° respectively. In each molecule the tolyl and naphthyl rings are nearly
perpendicular to each other. The tolyl ring is slightly twisted towards the naphthyl
ring which can be attributed to the compression of the tolyl ring as shown by the
C1-S1-N1 bond angle.
3.4.3 Hydrogen Bonding and Crystal Packing
The crystal packing is stabilized by intermolecular N-H…O interaction.
The crystal packing of molecules of the title compound viewed down the ‘a’ axis is
shown in Fig. 3.3. Atom N1 in the molecule at (x, y, z) donates one proton to atom
O1 in the molecule at (-x+1,-Y+1, -Z+2), similarly atom N1 in the molecule at
(-x+1,-Y+1, -Z+2) donates one proton to atom O1 in the molecule at (x, y, z). This
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intermolecular hydrogen bond forms a R2 (6) ring motif. Hydrogen bonds for
4MNBS is shown in Table 3.3.
3.4.4 Geometrical Structure
The optimized structure parameters of the title compound were calculated
by DFT –B3LYP levels with the 6-31G (d, p) basis set. The selected bond lengths,
bond angles and torsion angles are compared with the experimental data of the title
compound (Table 3.2). All calculated geometrical parameters obtained at the DFT
level of theory are in good agreement with the experimental structural parameters.
No X-ray crystallographic data of the title compound have yet been
reported to best of our knowledge. However, the theoretical results (B3LYP)
obtained are almost comparable with the reported structural parameters of similar
derivatives. Unlike benzene, the carbon –carbon bands for naphthalene derivatives
are not of the same length [63, 64]. For the title compound, the bonds C8–C9,
C10–C11, C13–C14, C9–C10, and C14–C15 are 1.381, 1.3751, 1.3754, 1.3765,
1.412 Å in length, whereas the other C–C bonds lie in the range of 1.4158–1.4302
Å. This difference occurs due to that electronegative substituent (NH) on
naphthalene ring trend to shorten the C–C bonds adjacent to the substituent. The
same trend is observed for XRD data. In toluene ring, all the carbon- carbon bond
lengths are calculated in the range of 1.395-1.401 Å for B3LYP and observed in
the range of 1.369-1.378 Å for XRD data.
Loughrey et al. [65] reported the bond lengths, S31–O32 = 1.4337, S31–
O33 = 1.4256, S31–N34 = 1.6051, S31–C28 = 1.7737 and C21–N20 = 1.4212 Å,
whereas the corresponding values for the title compound are, 1.467, 1.467, 1.647,
1.789, and 1.44 Å . The above said bond lengths, S1-O1, S1-O2, S1-N1, S1-C1and
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Table 3.3 Hydrogen bond geoeometry(Å) D‐H‐A D‐H H‐A D…A <(DHA) N1‐H1…O1 0.77(3) 2.28(3) 3.018(4) 161(3)#1
C9‐H9…O2 0.93(3) 3.011(3) 2.404(3) 122.77#2
C16‐H16…O1 0.93(3) 3.548(4) 2.768(2) 142.02#3
Note: D: Donor, A: Acceptor
Symmetry transformations used to generate equivalent atoms: #1 ‐x+1,‐y+1,‐z+2 #2 X,Y,Z #3 –X+1, ‐Y+1,‐Z+2
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Figure 3.3 Molecular Packing Diagram of 4MNBS crystal.
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83
C8-N1 are in agreement with the experimental values (1.435, 1.427, 1.626, 1.747
and 1.419 Å). Petrov et al. [66] reported the molecular structure and
conformations of benzenesulfonamide by gas electron diffraction and quantum
chemical calculations and according to their results, the bond lengths, CS, SN, SO
vary in the range of 1.7756–1.7930, 1.6630–1.6925, 1.4284–1.4450 Å and the
bond angles, CSN, CSO, NSO, vary in the range, 103.9–107.1, 107.6–109.8,
105.5–107.7◦. These values are in agreement with the corresponding values for the
title compound. At C8 position, the bond angles C17–C8–N1, C9–C8–C17 and
C9–C8–N1 are 118.12, 120.619 and 121.249◦ respectively. This asymmetry in
angles reveals the interaction between NH group and naphthalene ring. The torsion
angles Ʈ1 (C6-C1-S1-N1) is calculated as 97.6° for B3LYP, which falls within the
expected range (70-120°). The torsion angles Ʈ1 (C7-C4-C5-C6) and Ʈ2 (C2-C3-
C4-C7) are -178.534 and 178.658° respectively for B3LYP. These torsion angles
are in agreement with the XRD data.
Further, the results of our calculations showed that S8- O9 and S8- O10
bonds show typical double bond characteristics and all other bond lengths fall
within the expected range. Some values deviates where comparing with the XRD
data and these differences are probably due to intramolecular interactions in the
solid state. In spite of the differences, calculated geometric parameters represent a
good approximation and they are the bases for calculating other parameters such as
vibrational frequencies and thermodynamic properties.
3.5 VIBRATIONAL ASSIGNMENTS
The FTIR spectrum of the sample was recorded in the KBr phase in the
frequency region of 450cm-1 – 4500cm-1 and the harmonic vibrational frequencies
calculated by using DFT/B3LYP with 6-31G (d, p) basic set are given in Table 3.4.
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Table 3.4
Vibrational wavenumbers obtained for 4MNBS at B3LYP/6-31G(d,p)
[(harmonic frequency cm−1), IR intensities (Kmmol−1), Raman intensities
(arb. units)]
Experimental
(cm−1)
FT-IR
FT-Raman
DFT Calculated (cm−1) (scaled
IbIR Ic
Raman Vibrational assignments PED (%)
3294
3265
3065
2921
1513
3075
2921
1588
1524
1472
3415
3119
3097
3090
3078
3077
3064
3060
3059
3057
3053
3050
3006
2980
2921
1613
1587
1585
1562
1561
1498
1474
1444
1444
0.2
0.1
0.1
0.1
0.8
0.7
0.4
0.5
0.5
0.1
0.7
2.0
0.5
0.8
0.5
1.2
0.2
0.0
2.4
3.0
4.1
0.1
9.2
2.2
2.8
1.4
2.6
1.5
2.4
1.5
1.3
0.3
0.2
0.4
1.6
1.7
2.0
1.2
0.4
0.3
0.8
0.0
0.7
1.3
2.4
0.1
7.9
3.1
νNH(100)
νCH(97)
νCH(96)
νCH(95)
νCH(88)
νCH(78)
νCH(96)
νCH(96)
νCH(87)
νCH(87)
νCH(87)
νCH(84)
νCH(99)
νCH(99)
νCH(100)
νCC(38)+βNSC(13)
νCC(38)
νCC(54)
νCC(36)
νCC(14)+βHCC(11)+βSCC(10)
νNC(36)
βHCH(51)+ΒCCC(14)+ΒCNS(14)
ΒCCC(70)+ƮCCCC(14)
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1413
1313
1142
1091
1019
914
1381
1319
1256
1223
1159
1100
1031
940
1442
1438
1383
1376
1370
1363
1350
1314
1295
1280
1258
1242
1209
1194
1186
1162
1151
1143
1129
1097
1096
1066
1046
1028
1022
1006
991
974
960
942
940
937
928
878
16.8
19.9
17.0
43.6
4.7
0.1
13.8
100.2
3.1
0.2
0.5
23.3
1.9
22.1
1.8
9.9
24.1
0.3
2.4
9.3
1.1
0.2
0.0
1.1
0.0
0.1
0.0
2.1
6.9
7.8
6.9
24.5
5.3
10.8
2.3
1.7
1.5
6.1
4.3
2.4
1.7
10.8
0.1
7.1
2.5
1.0
1.3
2.2
5.4
2.4
3.5
1.3
0.4
12.7
2.0
0.2
0.2
0.1
0.3
0.2
0.6
0.4
7.1
0.1
2.9
4.6
8.4
1.5
ΒHCC(28)
ΒCCC(75)
ΒHCC(12)+ΒHCH(29)
νCC(30)+βHCH(14)+βCCC(14)
ΒHCH(22)+ΒHCC(12)
ΒCCC(93)
νCC(30)+βHCC(11)
νCC(24)+βHCC(11)+βSCC(15)
νSN(17)+βCCC(17)
νCC(70)
βHCH(60)+ βCCC(19)
νSN(26)+βCCC(20)+βHCC(22)
βHCH(41)+ βSCC(13)
νCC(22)+νSO(16)+βHCC(31)
νCC(29)+βHCC(14)+βNSC(10)
νCC(10)+νSC(40)+βHCC(14)
νCC(14)+βCCC(18)+βHCH(53)
βHCC(44)
βHCC(42)+ βHCH(25)
νCC(16)+βHCH(48)
νSN(27)+βCCC(29)
νCC(29)+βHCH(39)+βCCC(12)
νCC(31)+βHCC(26)
νCC(38)+νSN(14)+βCCC(17)
νSO(13)+βHCC(19)+βCCC(13)
τCCCN(13)+ τCCCC(43)
νNC(45)
βCNS(19)+ βCCC(55)
νCC(11)+ τCCCN(12)+ τCCCC(37)
τCNSC(18)+ τHCCC(71)
τCCCC(72)+ τHCCC(19)
τHCCC(64)
τCCCC(61)+ τHCCC(17)+ τONOS(10)
τHCCC(77)
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777
661
563
814
761
658
581
527
485
449
319
286
253
865
850
824
814
798
783
777
772
756
723
704
684
641
628
622
596
567
549
517
507
494
483
464
458
438
413
400
392
347
316
299
265
257
223
80.4
0.3
1.6
3.4
1.2
1.4
0.7
9.5
6.5
25.8
0.4
9.0
40.8
7.1
10.2
0.1
7.3
5.1
1.8
2.5
1.5
6.1
3.7
2.1
1.8
2.1
5.4
8.7
0.2
10.9
7.1
6.0
0.5
0.2
16.3
5.1
1.1
2.3
1.4
4.3
1.8
11.7
1.7
8.9
0.5
1.0
1.0
42.6
42.6
17.2
1.7
0.5
19.9
8.8
8.9
5.9
0.3
5.7
30.5
13.3
0.4
28.6
1.6
100.3
38.2
22.1
11.6
21.6
τHCCC(80)
νSO(10)+βHCC(11)+βCCC(24)
τHCCC(46)
τCCCC(75)+ τHCCC(24)
βHNC(23)
τCCCC(54)+ τHCCC(16)
νSC(13)+βCNS(25)
τHCCC(28)
νCC(11)+βCCC(17)+βOSO(29)
τHCCC(35)+ τCCCC(16)
τHCCC(39)
βHCC(15)
τONCS(18)+ τCCCC(47)
τONOS(25)
τCCNS(11)
βCCC(57)
τCCNS(15)
τCCCC(12)
τCCCC(12)
τONOS(17)
τHCCS(11)+ τCCCC(10)
βOSN(22)+ βOSO(12)
τHCCC(22)+ τONOS(16)
τCCCC(22)+ τCCNS(17)
τHCCS(23)
τSCCC(11)
τHCCC(12)+ τSCCC(16)+ τONCS(23)
τHCCC(14)+ τCCCC(13)+ τONOS(24)+ τONC
τSCCC(16)+ τONCS(23)
τHCCC(13)
τHCCC(44)+ τONCS(21)
τHCCS(15)
τHCCS(15)
τHNCC(10)+ τCCCC(11)
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15
183
168
153
133
88
70
41
33
29
15
7.0
4.3
7.0
10.1
17.3
5.7
0.8
0.4
0.9
13.7
41.3
30.6
28.5
47.8
54.5
125.2
31.7
20.6
26.7
29.5
ΒCCN(15)+ΒNSC(10)
τHNCC(10)+ τCNSC(22)
τCCCC(29)+ τCNCC(17)
τNSCC(17)+ τSCCC(20)+ τHNCC(13)+ τHCC
τHCCC(10)+ τCCCC(25)
τNSCC(26)+ τSCCC(24)
τHNCC(22)+ τCCCC(24)+ τNSCC(10)
τCCCN(23)+ τCCCC(35)+ τNSCC(27)
τNSCC(17)+ τSCCC(20)+ τHNCC(13)+ τHCC
τNSCC(66)
τCCCC(12)+ τCCNS(79)
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4000 3500 3000 2500 2000 1500 1000 500
Wavenumber(cm-1)
B3LYPTran
smis
sion
(arb
.uni
ts)
X Axis Title
Experimental
Figure 3.4(a) Experimental and Theoretical FTIR spectrum of 4MNBS
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3500 3000 2500 2000 1500 1000 500
R
aman
Inte
nsity
(arb
.uni
t)
Wavenumber(cm-1)
B3LYP
Experiment
Figure 3.4(b) Experimental and Theoretical FT‐Raman Spectrum of 4MNBS.
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84
The FTIR and FT Raman spectra of the 4MNBS compound are shown in
Fig.3.4. (a) and Fig 3.4 (b) The assignments of various bands in different
compounds, in general, have been reported in detail in the references [67-68].
3.5.1 N-H Vibration
As it is seen in Table 3.4, the N-H stretching mode, calculated as 3414 cm-1
is observed at 3294 cm-1. This difference between experimental and calculated
N-H stretching vibration (120 cm-1) can be due to N-H-O strong intermolecular
hydrogen bond which has not been taken into consideration in the calculation. As
expected, this is a pure stretching mode with a P.E.D contribution 100% and is
evident from P.E.D. table. In the literature, some N-H stretching modes observed
experimentally for the different substituent-sulfonamide are 3273 cm-1, 3343 and
3284 cm-1 [69]. Theoretical value for the N-H stretching vibration was reported as
3422 cm-1 by the method of B3LYP/6-31 G (d,p) level [70] .
3.5.2 C-H Vibration
The sulfonamide derivatives are gives rise to C–H stretching, C–H in-plane
and C–H out-of-plane bending vibrations. Aromatic compounds commonly
exhibit multiple weak bands in the region 3100–3000 cm−1 [71] due to aromatic
C–H stretching vibrations. In pure naphthalene has been occurred in the region
3080–3000 cm−1. They are not appreciably affected by the nature of the
substituents [72-–74]. All the C–H stretching vibrations are very weak in intensity.
In the present study, the 4MNBS has seven C–H vibrations for naphthyl ring and
four C-H vibrations for phenyl ring. All bands have very weak intensities and
were obtained in the expected region. As expected, these eleven modes (2–12
modes) are pure stretching modes with a PED contribution nearly 90%. as it is
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85
evident from PED column. The C-H aromatic stretching modes are calculated as
3049–3118 cm-1 and they are observed at 3265, 3065 cm-1 in the IR spectrum and
the corresponding Raman band is observed at 3075 cm-1 (Table 3). The bands due
to C-H in-plane ring vibrations interacting with C-C stretching vibration which are
medium-weak intensity sharp bands in the region 1000-1300 cm-1. In general,
substitution patterns on the ring can be judged from the out-of-plane bending of the
ring C-H bond in the region 960-675 cm-1 and these bands are highly informative
[75]. C-H out-of-plane bending vibrations are strongly coupled vibrations and
occur in the region 900-667cm-1 [76]. Consequently, in this work, the peaks
appeared at 914, 777 cm-1 in FTIR and 940, 814, 761 cm-1 in FT Raman confirms
the C-H out of plane bending vibrations. Naphthalene CH stretching vibrations are
reported in the IR spectrum at 3259, 3171, 3067, 3057 and 3046 cm−1 as weak
bands and the corresponding Raman band is observed at 3058 cm−1 as strong band
as expected [69,70]. Krishnakumar et al. [71] reported 1055, 1037, 778, 742, 690,
675, 538, 488, 458, 355, 298, 257 cm−1 as in plane and out-of-plane ring
deformation bands of naphthalene ring. Ravikumar et al. [77] reported Raman
bands at 1440, 1420 and 1141 cm−1 and the IR bands at 1440, 1424, 1238, 1187,
1147 and 1140 cm−1 correspond to the naphthalene C–H in-plane bending modes,
which are mixed with other vibrational modes. In 1-substituted naphthalene
derivatives, the CH out-of-plane bending vibrations occur at 810–785 cm−1 due to
three adjacent hydrogen atoms on the ring, and at 780–760 cm−1 for four adjacent
hydrogen atoms [69]. The in-plane and out-of plane CH deformations are assigned
theoretically (B3LYP) at 1333, 1293, 1198, 1175, 1141, 1110 cm−1 and 999, 981,
978 884, 858 cm−1, respectively. For 4MNBS, these bands are observed at 1313,
777 in the IR and 1319, 1159, 1031, 814 cm−1 in the Raman spectrum.
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86
3.5.3 C-C Vibration
The stretching C=C vibration gives rise to a band at 1513 cm-1 in the
infrared experimental spectrum, 1588 cm-1 in the Raman spectrum, while the
calculated values are at 1613, 1587, 1498 cm-1. The ring stretching vibrations are
expected within the region 1620–1390 cm−1 [67]. In the following discussion,
naphthalene ring and para substituted phenyl ring are designated as ring I and
ring II, respectively. The naphthalene ring modes are influenced more C–C bands.
Most of the ring modes are altered and missing by the substitutions to aromatic
ring of naphthalene. Generally the C–C stretching vibrations in aromatic
compounds form the strong bands. Govindarajan et al. [63] reported the C–C
stretching vibrations at 1564, 1490, 1417, 1340, 1261, 1212 and 1114 cm−1
experimentally and at 1570, 1496, 1424, 1354, 1269, 1213, 1120 cm−1 theoretically
for the naphthalene ring.
3.5.4 Methyl Group Vibrations
The C-H stretching in CH3 occurs at lower frequencies than those of
aromatic ring (3100-3000 cm-1). The vibrations of methyl group in this title
molecule are observed in the typical range reported in earlier literatures [75-77]. In
view with the literatures, the CH3 asymmetric stretching frequencies are
established at 3005 (FT-R), 2980 (FT-R), 2970 (FTIR) and 2950 cm-1 (FTIR)
whereas CH3 symmetric frequencies are assigned at 2950 (both) and 2920 cm-1
(FT-IR). For the compound 4MNBS, the weak band observed at 2931cm-1 in the
raman spectrum and 2921cm-1 in the IR spectrum are assigned to CH3 stretching
vibrations and calculated as 3006, 2979, 2920cm-1. The methyl group in-plane
bending vibrations comprises of in-plane asymmetric and symmetric bending
deformations. In this work, the strong bands appeared at 1472 cm-1 in Raman,
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87
1413 cm-1 in FTIR and 1444cm-1 in B3LYP are assigned to CH3 in-plane bending
deformation vibrations which coincides with the values stated in the earlier
literatures [75-78], where the asymmetric deformation of CH3 group was observed
at around 1450 cm-1 for methyl substituted aromatic rings. The peak at 1381 cm-1
(FT-IR) is assigned to CH3 symmetrical methyl deformation vibrations, calculated
as 1369 cm-1.
3.5.5 Heavy Atoms Fundamentals Vibrations
The antisymmetric and symmetric stretching modes of SO2 group appear in
the region 1360–1310 and 1165–1135 cm−1, respectively [79]. The SO stretching
mode is not pure, but contains contributions from other modes also. The two bands
attributed to the SO stretching vibrations, appearing at 1313 and 1142 cm-1 in IR
spectrum, 1319, 1159 cm-1 in Raman spectrum are calculated as 1314 and
1096 cm-1 respectively (Table 3). The strong peak at 1313cm-1 is mainly because
of the asymmetric stretching vibration of SO2 group. The moderate band at
1142 cm-1 is assigned to the symmetric stretching vibration of SO2 group. CN
stretching vibration appears at 1091 cm-1 as a moderate intensity. The moderate
peak at 1019 cm-1 is due to the out of plane bending vibrations of CH and CN. The
band at 914 cm-1 shows SN and CH out of plane bending vibrations and 777 cm-1
is due to the in plane bending vibration of the aromatic rings. The strong peak at
661 cm-1 is due to the out of plane bending vibrations of CS and CN. The strong
Peak at 563 cm-1 in IR and medium band at 527cm-1 in the Raman spectrum are
mainly because of the wagging motion of SO2 group and out of plane bending
vibration of aromatic ring. The wagging motion of SO2 group calculated as
528 and 477 cm-1. The absorptions at the above mentioned frequencies suggest the
presence of functional groups corresponding to both -SO2 and N-H indicating the
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88
formation of sulfonamide. The above conclusions are in good agreement with the
similar sulfonamide compounds [80].
3.6 FT NMR SPECTRAL ANALYSIS
1H NMR spectrum provides information about the number of different
types of protons and also the nature of immediate environment to each of them. 13C
NMR spectrum also provides the structural information with regard to different
carbon atoms present in the molecules. The experimental 13C and 1H spectra are
presented in Fig.3.5 (a) and Fig. 3.5 (b) respectively. The theoretical 13C and 1H
chemical shift values (with respect to TMS) of the title compound are generally
compared to the experimental13C and 1H chemical shift values. The results in
Table 3.5, show that the range 13C NMR chemical shift of typical organic molecule
is usually >100ppm [81]; the accuracy ensures reliable interpretation of
spectroscopic parameters. It is true from the above literature value, in our present
study, the title molecule also falls with the above literature data.
In the 1H NMR spectrum, a singlet at 2.3δ indicates the three protons of
methyl group. The above said, methyl group protons are calculated in the range of
1.7 δ-2.07 δ for B3LYP. The eleven aromatic protons of naphthyl and tolyl group
are appeared as multiplet in the range of 7-8 δ and are found to be in the range of
7.52-8.29 δ for B3LYP. The NH group of the naphthyl is responsible for the
appearance of broad singlet at 7.25δ and calculated as 4.7 δ for B3LYP.
In the 13C NMR spectrum, the methyl carbon of the tolyl group give signal
at 20δ, calculated as 10.89 δ. The sixteen aromatic carbons of napthyl and tolyl
group are appeared as multiplet in the range of 121.59-143.79δ and are found to be
in the range of 109.99-132.71 δ for B3LYP. The signal at143.79 δ is assigned to
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Table 3.5
The chemical shift in 1H NMR and 13C NMR spectrum of 4MNBS
Spectrum Experimental (CDCl3)
Signal at δ(PPM)
B3LYP
Calculated chemical shift at
δ(PPM)
Group Identification
1H NMR
2.3 (singlet) 1.7 - 2.07 3 protons of methyl group
7- 8 ( multiplet) 7.52 -8.29 10 aromatic protons
7.25( broad singlet) 4.706 For N-H proton 13C NMR
20 10.899 methyl carbon of the tolyl group
143.79 132.71 C8 carbon of the naphthyl ring attached with NH group
136.35 128.03 C4 carbon of the tolyl ring attached with methyl group
134.23 121.94 C1 carbon of the tolyl ring attached with SO2 group
129.57 115.88 C3,C5 (meta) carbons of the tolyl ring
125.38 112.67 C2,C6 (ortho) carbons of the tolyl ring
125.43 112.91 C16 carbon of the naphthyl ring
126.28 113.94 C17 carbon of the naphthyl ring
131.51 118.43 C12 carbon of the naphthyl ring
128.9 114.9 C13 carbon of the naphthyl ring
127.16 114.81 C14 carbon of the naphthyl ring
126.64 114.71 C15 Carbon of the naphthyl ring
121.59 109.99 C9 carbon of the naphthyl ring
127.37 114.9 C10 carbon of the naphthyl ring
122.65 109.99 C11 carbon of the naphthyl ring
76-78 79.86 Carbon of the solvent CDCl3
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Figure 3.5 (b) 13C NMR spectrum of 4MNBS.
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Figure 3.5(a) 1H NMR spectrum of 4MNBS.
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89
the C8 carbon of naphthyl ring which is bonded with NH group, calculated as
132.71 δ. The signal at 136.35δ is assigned to the C4 carbon of tolyl ring which is
bonded with methyl group, calculated as 128.03 δ. The signal at 134.23δ is
assigned to the C1 carbon of tolyl ring which is bonded with sulfonyl group,
calculated as 121.94 δ. The Meta carbons (C3, C5) of the tolyl ring are responsible
for the signal at 129.57δ, calculated as 115.88 δ. The ortho carbons (C2, C6) of the
tolyl ring are responsible for the signal at 128.38 δ, calculated as 112.67 δ. The
signals at 131.51δ, 128.9δ, 127.16δ and 126.64 δ, are assigned to the (C12-C15)
carbons of the naphthyl ring. The above said carbons of the naphthyl ring are
calculated as, 118.43 δ, 114.9 δ, 114.81 δ and 114.71 δ for B3LYP. The C16 and
C17 carbons of the naphthyl ring are responsible for the signals at 125.43δ and
126.28 δ respectively. The signals at 121.59 δ, 127.37 δ and 122.65 δ are assigned
to the carbons C9, C10 and C11 of the naphthyl ring. The above said relevant
calculated 13C chemical shifts are listed in the table. (See ortep diagram for
numbering of atoms). A Signal at 76-78 δ indicates the carbon atom of the CDCl3
(solvent), calculated as 79 δ. As it is seen from Table, calculated 1H and 13C
chemical shifts values of the title compound are generally agreement with the
experimental 1H and 13C chemical shifts data.
3.7 NBO ANALYSIS
NBO analysis provides a possible ‘natural Lewis structure’ picture of ø,
because all orbital details are mathematically chosen to include the highest possible
percentage of the electron density. A useful aspect of the NBO method is that it
gives information about interactions in both filled and virtual orbital spaces that
could enhance the analysis of intra- and intermolecular interactions.
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90
The second order Fock matrix was carried out to evaluate the donor–
acceptor interactions in the NBO analysis [82]. The interactions result is a loss of
occupancy from the localized NBO of the idealized Lewis structure into an empty
non-Lewis orbital. For each donor (i) and acceptor (j), the stabilization energy E
(2) associated with the delocalization i→j is estimated as
E(2) = ∆Eij = qi ⎟⎟⎠
⎞⎜⎜⎝
⎛
− )(),( 2
ij
jiFεε (3.1)
where qi is the donor orbital occupancy, are εi and εj diagonal elements and F(i, j)
is the off diagonal NBO Fock matrix element.Natural bond orbital analysis
provides an efficient method for studying intra and intermolecular bonding and
interaction among bonds, and also provides a convenient basis for investigating
charge transfer or conjugative interaction in molecular systems. Some electron
donor orbital, acceptor orbital and the interacting stabilization energy resulted from
the second-order micro-disturbance theory are reported [83,84]. The larger the E(2)
value, the more intensive is the interaction between electron donors and electron
acceptors, i.e. the more donating tendency from electron donors to electron
acceptors and the greater the extent of conjugation of the whole system.
Delocalization of electron density between occupied Lewis type (bond or lone pair)
NBO orbitals and formally unoccupied (antibond or Rydgberg) non-Lewis NBO
orbitals correspond to a stabilizing donor–acceptor interaction.
NBO analysis has been performed on the molecule at the DFT/B3LYP/
6-31G (d,p) level in order to elucidate the intra molecular, rehybridization and
delocalization of electron density within the molecule. The intra molecular
interaction are formed by the orbital overlap between (σ and π (C–C, C-H and
C-N) and σ* and π* of C-C, C-H and C-N)) bond orbital which results intra
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Table 3.6
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91
molecular charge transfer (ICT) causing stabilization of the system. These
interactions are observed as increase in electron density (ED) in C–C anti bonding
orbital that weakens the respective bonds [85]. The electron density of conjugated
double as well as single bond of the aromatic ring (~1.9e) clearly demonstrates
strong delocalization inside the molecule.
The strong intramolecular hyperconjugation interaction of the σ and π
electrons of C–C to the anti C–C bond in the ring leads to stabilization of some
part of the ring as evident from Table 3.6. For example, the intra molecular hyper
conjugative interaction of σ (C1–C2) distribute to σ* (C3–C10) and (C1–C2)
leading to stabilization of ~3.0 kJ/mol. This enhanced further conjugate with anti-
bonding orbital of π* (C3–C4) and (C5–C6), leads to strong delocalization of
17.36 and 19.11 kJ/mol respectively. The magnitude of charges transferred from
lone pair nitrogen LP (1) N18 shows that stabilization energy of about ~ 7 KJ/Mol.
Where as in the case of LP (2) O35 the stabilization energy of about ~ 19 KJ/Mol
which clearly manifests the evidence for the elongation of the bond S20-C21. The
delocalization of electron π*(C1-C2) to π*(C3-C4) with enormous stabilization
energy of about ~ 299 KJ/Mol. (see Fig.3.2 for numbering of atom).
3.8 HYPERPOLARIZABILITY CALCULATIONS
The first order hyperpolarizability (βtotal) along with related properties (μ,
⟨α⟩ and Δα) are calculated by using DFT-B3LYP method with 6-31G(d,p) basis
set, based on the finite-field approach. In the presence of an applied electric field,
the energy of a system is a function of the electric field. First order
hyperpolarizability is a third rank tensor that can be described by a 3 × 3 × 3 array.
The 27 components of the 3D matrix can be reduced to 10 components due to the
Kleinman symmetry [67]. It can be given in the lower tetrahedral format.
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92
The components of βtotal are defined as the coefficients in the Taylor series
expansion of the energy in the external electric field. When the external electric
field is weak and homogeneous, this expansion becomes:
E = E0 - μαFα - 1/2ααβFαFβ - 1/6βαβγFαFβFγ + … (3.2)
where E0 is the energy of unperturbed molecule, Fα the field at the origin, μα, ααβ ,
and βαβγ are the components of dipole moment, polarizability and the first order
hyperpolarizabilities, respectively. The total static dipole moment μ, the mean
dipole polarizability (α), the anisotropyof the polarizability Δα and the total first
order hyperpolarizability βtotal, using x, y, z components they are defined as
μ = (μx2+ μy2+ μz2)1/2, (3.3)
3zzyyxx ααα
α++
= (3.4)
Δα = 2-1/2 [(αxx - αyy)2 + (αyy - αzz)2 + (αzz - αxx)2 + 6 ]1/2 (3.5)
( ) 2/1222zyxtotal ββββ ++= (3.6)
And
β x = β xxx + β xyy + β xzz, (3.7)
β y = β yyy + β xxy + β yzz, (3.8)
β z = β zzz + β xxz + β yyz (3.9)
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93
The calculated dipole moment, polarizability and first order
hyperpolarizability values obtained from B3LYP/6-31G(d,p) method are collected
in Table 3.7. The total molecular dipole moment of 4MNBS from B3LYP with 6-
31G(d,p) basic set is 1.543D, which is nearer to the value for urea (µ = 1.3732 D).
Similarly the first order hyperpolarizability of 4MNBS is 3.3336 x 10-30
which is nearly 4 times greater than the value of urea
(β = 6.09×10−30 esu). From the computation the high values of the
hyperpolarizabilities of 4MNBS are probably attributed to the charge-transfer
existing between the phenyl rings within the molecular skeleton. So we conclude
that the title compound is an attractive object for future studies of nonlinear optical
properties.
3.9 MULLIKEN ATOMIC CHARGES
Mulliken atomic charge calculation plays an important role in the
application of quantum mechanical calculations to molecular systems [87]. The
calculated Mulliken charge values of 4MNBS are listed in Table 3.8. The charge
distribution structure is shown in Fig 3.6. The Mulliken atomic charge analysis of
4MNBS shows that the presence of two oxygen atoms in the sulphonamide moiety
(O21 = −0.5453); (O22 =−0.5251) imposes positive charge on the sulfur atom S8 =
1.1821. However, the carbon atoms C1, C2, C6, C10, C11, C14, C15, C23, C24,
C25, C26, and C28 posses small negative charges, whereas carbon atoms C3, C4,
and C5 posses positive charge due to large negative charge (-0.6858) of N18.
Moreover, there is no difference in charge distribution observed on all hydrogen
atoms except the H19 and methyl group hydrogens (H32, H33 and H34). The large
positive charges on H19 (0.2894) and H33 (0.1419) is due to large negative charge
accumulated on the N18 atom and C31 (methyl carbon) atom respectively.
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Table 3.7
The electric dipolemoment(D), Polarizability and first hyperpolarizability of 4MNBS
a.u esu(x10-24) a.u (esux10-33)
αxx 249.72 1685.011 Βxxx 24.28 209.7622
αxy -5.58 -37.6516 Βxxy -9.49 -81.987
αyy 127.74 861.9384 Βxyy 96.93 837.4073
αxz -53.68 -362.211 Βyyy 33.21 286.9112
αyz 9.57 64.57453 Βxxz -72.07 -622.634
αzz 252.63 1704.646 Βxyz 35.41 305.9176
αtotal 210.3 1419.02 Βyyz -47.24 -408.121
µx 1.895 Βxzz 5.76 49.76237
µy .906 Βyzz -41.41 -357.753
µz -0.237 Βzzz -163.61 -1413.48
µ 2.109 Βtotal 310.6 2683.44
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Table 3.8
Mulliken Atomic Charges of 4MNBS
Atoms Charges C1 C2 C3 C4 C5 C6 H7 H8 H9 C10 C11 H12 C13 C14 H15 H16 H17 N18 H19 S20 O21 O22 C23 C24 C25 C26 H27 C28 H29 C30 H31 H32 C33 H34 H35 H36
0.120541-0.125960.1074330.1217610.10216
-0.069990.0855090.0902680.081804-0.14064-0.131950.180254-0.09055-0.089470.0947690.0825240.082553
-0.68590.28947
1.182135-0.54531-0.52511-0.16389-0.08147-0.08852-0.102740.143426
-0.10380.1069290.1038810.099536
0.0964-0.375230.1250750.1419810.123185
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94
3.10 MOLECULAR ELECTROSTATIC POTENTIAL
Molecular Electrostatic potential at the B3LYP/6-31G (d,p) optimized
geometry was calculated. The molecular electrostatic potential (MEP) is related to
the electronic density and a very useful descriptor for determining sites for
electrophilic attack and nucleophilic reactions as well as hydrogen–bonding
interactions (88-91). As it is seen in Figure 3.7, the red region is localized on the
oxygens of the sulfonyl group has value of -.0994a.u. and the maximum blue
region localized on the N1-H1 bond has value of +.0993 a.u, indicating the
possible sites for electrophilic attack and nucleophilic reaction respectively. These
sites give the information about the region, from where the compound can have
intermolecular interactions. Hence, the molecular electrostatic potential map
confirms the existence of intermolecular N-H…O interactions.
3.11 ELECTRONIC ABSORPTION SPECTRA
To provide better insights into the nature of the UV-Vis absorptions spectra
observed experimentally, the low energy electronic excited states of EPAB have
been calculated at the B3LYP/6-31G(d,p) level using the TD-DFT approach on the
previously optimized groundstate geometry of the molecule. Position and
absorbance of the experimental peaks shown in (Figure-3.8). TD-DFT calculations
predict three transitions in the near ultraviolet region for 4MNBS molecule. The
strong transitions at 215 nm with an oscillator strength f=0.2910 in gas phase are
assigned to an n to π*. The experimental absorption spectrum shows broad
absorption peaks around at 285 nm is observed owing to n to π*.
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Figure 7 Molecular Electrostatic potential (MEP) of 4MNBS
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200 250 300 350 400 450 500 550 600-0.2
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
285
223A
bsor
banc
e
Wavenumber(cm-1)
Figure 3. 8 UV‐Vis absorption spectrum of 4MNBS
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95
3.12 FRONTIER MOLECULAR ORBITALS (FMOs)
Both the highest occupied molecular orbitals (HOMOs) and lowest
unoccupied molecular orbitals (LUMOs) are the main orbitals taking part in
chemical stability. The HOMO represents the ability to donate an electron, LUMO
as an electron acceptor representing the ability to obtain an electron.
This electronic absorption corresponds to the transition from the ground to
the first excited state and is mainly described by one electron excitation from the
highest occupied molecular orbital (HOMO) to the lowest unoccupied molecular
orbital (LUMO). The HOMO is located over the naphthalene ring, NH and SO2
group. Lumo is delocalized on the entire compound except the CH2 of the methyl
group. The HOMO to LUMO transition implies an electron density transfer from
the naphthyl amino moiety to toluene sulfonyl moiety. Figure 3.8 shows the
surfaces of HOMO and LUMO. The HOMO - LUMO energy gap explains the
eventual charge transfer interactions taking place within the molecule. The HOMO
and LUMO energy are 5.5547 eV and 1.3154 eV at the DFT level (Table 3.3). The
DFT level calculated energy gaps 4.2392 eV shows the lowering of energy gap and
reflect the NLO activity of the molecule.
3.13 GLOBAL REACTIVITY DESCRIPTORS
Conceptual density functional theory and reactivity indices Parr et al and
other researchers [92-94] suggested that DFT methods and reactivity indices are
conceptually insightful and practically convenient to predict the chemical reactivity
of molecules. It was anticipated that some reactivity indices are equally important
for understanding structural changes. Electronic chemical potential (μ), one of the
reactivity indices, refers to the escaping tendency of electrons from equilibrium
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Figure 3.9 HOMO‐LUMO Surfaces of 4MNBS.
Energy Gap = 4.23 eV
LUMO Energy =1.31eV eV
LUMO Plot
HOMO Energy = 5.55 eV
HOMO Plot
l
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96
and is identified as the negative of electronegativity (χ = −μ). Chemical hardness
(η) measures the resistance of μ to change in total number of electrons. Several
studies have employed these parameters to describe the molecular reactivity by
obtaining η and χ values from semi-empirical data, the frontier molecular orbital
(FMO) energies.
The theoretical definitions of μ and η are provided by the DFT as the first
and second derivatives of the electronic energy with respect to the number of
electrons (N) for a constant external potential V(r):
External potential V(r);
µ = -χ = ην
,⎟⎠⎞
⎜⎝⎛
∂∂NE = ⎟
⎠⎞
⎜⎝⎛
∂∂
=⎟⎟⎠
⎞⎜⎜⎝
⎛∂∂
NNE μ
2
2
(3.1)
The electrophilicity index (ω) derived by Parr et al [94] takes the following
form:
⎟⎟⎠
⎞⎜⎜⎝
⎛=⎟⎟
⎠
⎞⎜⎜⎝
⎛=
ηχ
ημω
22
22
(3.2)
Based on the finite difference approach method, the working equations for
calculating μ and η are given by
2AI +
−=μ (3.3)
and
AI −=η (3.4)
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97
where I and A are the first ionization potential and the electron affinity,
respectively. Under Koopmans’ theorem, the above equations can be expressed as
2LUMOHOMO EE +
−=μ (3.5)
and
HOMOLUMO EE −=η (3.6)
where E HOMO and E LUMO designate the energies of the highest occupied and
lowest unoccupied molecular orbits, respectively. In addition, two new reactivity
indices related to electrophilicity and nucleophilicity, as well as electrofugality and
nucleofugality in terms of the reactant’s first ionization potential (I) and electron
affinity (A), have recently been introduced by Ayers et al. [95]. Electrofugality ΔEe
is defined as
( )ηημω
2
2−=+=Δ IEe (3.7)
Nucleofugality ΔEn is defined as
( )ηημω
2
2+=+−=Δ AEn (3.8)
These equations assess the quality of electron-fleeing and electron-
accepting, respectively.
Using the above equations, the chemical potential, hardness and
electrophilicity index have been calculated for 4MNBS and their values are shown
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98
in Table 3.9. The ionization potential calculated by B3LYP/6-31G(d,p) method
for 4MNBS is -5.5 eV
3.14 THERMAL ANALYSIS
Thermal analysis of 4MNBS was carried out using a Perkin Elmer model,
simultaneous thermo gravimetric / differential thermal (TG/DT) analyser. The
sample was scanned in the temperature range 30-600oC at a rate of 20oC for
0.5 sec. The TG/DT curve is shown in Figure 3.9. The first endothermic peak
observed at 152.1oC is attributed to the melting point of the 4MNBS crystal. At the
melting point, no weight loss was observed in the TG curve. The weight loss starts
around 295oC and the major weight loss (92.2%) takes place over a large
temperature range (295-400oC), where almost all the compounds decomposed as
gaseous products. The endothermic peak corresponding to major weight loss was
observed at 400oC in the DT curve. The 4MNBS is chemically stable up to 295oC,
above which temperature the sample gradually decomposes. No exothermic or
endothermic peak was observed below the melting point endotherm, indicating the
absence of any isomorphic phase transition in the sample.
3.15 CONCLUSION
4 methyl-N-(naphthalene-1-yl) benzene Sulfonamide has been synthesized
and characterized by FTIR, NMR and X-ray single-crystal diffraction. The crystal
structure is stabilized by N-H---O type hydrogen bonds. X-ray, FTIR and NMR
spectral data of the title compound indicate that the compound formed is
sulfonamide. The optimized geometrical parameters (B3LYP) are in agreement
with that of reported similar derivatives. The influences of the electronegative NH
group and naphthalene ring to the structural parameters of the title compound were
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Figure 3.10 TGA and DTA plot of 4MNBS
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99
discussed. And also, optimized geometrical parameters were compared with the
experimental values. Theoretical (B3LYP) structural parameters and scaled
vibrational frequencies are in agreement with the experimental values. Any
discrepancy noted between the observed and the calculated values may be due to
the fact that the calculations were actually done on a single molecule in the
gaseous phase contrary to the experimental values recorded in the solid state where
the presence of intermolecular Coulombic interactions. The considerable
differences between experimental and calculated results of FTIR can be attributed
to the existence of N-H--O type intermolecular hydrogen bonds in the crystal
structure. Theoretical 1H and 13C chemical shift values (with respect to TMS) were
reported and compared with experimental data, showing good agreement for both 1H and 13C. The comparison between experimental results and theoretical data
presents that the calculation level preferred is powerful approach for understanding
the identification of all the molecules studied in this work. NBO result reflects the
charge transfer mainly due to C-C group. Atomic charges are also determined for
the identification of the molecule. Moreover, frontier molecular orbitals and
molecular electrostatic potential were visualized. Electronic transition and energy
band gap of the title molecule were investigated and interpreted. HOMO–LUMO
gap with 4.23 eV indicates that the title compound has a good chemical stability.
The tile compound is chemically stable up to 295°C. In conclusion, all the
calculated data and experimental results not only show the way to the
characterization of the molecule but also useful in the application in industry and
fundamental researches in chemistry and biology in the future.
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100
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