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Spectrochimica Acta Part A 79 (2011) 962969
Contents lists available at ScienceDirect
Spectrochimica Acta Part A: Molecular andBiomolecular Spectroscopy
j ournal homepage: www.elsevier .com/locate /saa
FT-IR and FT-Raman, vibrational assignments, molecular geometry, ab initio (HF)
and DFT (B3LYP) calculations for 1,3-dichlorobenzene
D. Mahadevana,, S. Periandyb, S. Ramalingamc
a Department ofPhysics, Govt. ArtsCollege, Tindivanam, Tamilnadu, Indiab Department ofPhysics, TagoreArts college, Puducherry, Indiac Department ofPhysics, A.V.C. College, Mayiladuthurai, Tamilnadu, India
a r t i c l e i n f o
Article history:
Received 1 February 2011
Received in revised form 23 March 2011
Accepted 4 April 2011
Keywords:
1,3-Dichlorobenzene
Inductive effect
Ab initio HartreeFock
B3LYP
FT-IR
FT-Raman
a b s t r a c t
The FT-IR and FT-Raman vibrational spectra of1,3-dichlorobenzene (1,3-DCB) have been recorded using
Bruker IFS 66 V Spectrometer in the range 4000100 cm1. A detailed vibrational spectral analysis has
been carried out and assignments ofthe observed fundamental bands have been proposed on the basis
of peak positions and relative intensities. The optimized molecular geometry, vibrational frequencies,
atomic charges, dipole moment, rotational constants and several thermodynamic parameters in the
ground state were calculated using ab initio HartreeFock (HF) and DFT (B3LYP) methods with 6-31++G
(d, p) and 6-311++G (d, p) basis sets. With the help ofdifferent scaling factors, the observed vibrational
wave numbers in FT-IR and FT-Raman spectra were analyzed and assigned to different normal modes
of the molecule. Most of the modes have wave numbers in the expected range. The inductive effect of
Chlorine atoms in the benzene molecule has also been investigated.
2011 Elsevier B.V. All rights reserved.
1. Introduction
Benzene is mainlyused as an intermediate to make other chem-
icals. Its most widely-produced derivatives include styrene, which
is used to make polymers and plastics, phenol for resins and adhe-
sives, and cyclohexane, which is used in the manufacture ofNylon
[1]. Benzene is a clear, colorless, no corrosive and highly flammable
liquid with a sweet odor. It evaporates into the air very quickly and
dissolves slightly in water [2]. Someindustries use benzene to make
plastics,resins, andNylonand syntheticfibers. Benzene is also used
to make some types ofrubbers, lubricants, dyes, detergents, drugs,
and pesticides. Natural sources ofbenzene include volcanoes and
forest fires. Benzene is also a natural part ofcrude oil, gasoline, and
cigarette smoke [3,4].
Chlorobenzene once was used for manufacturing of certain
pesticides, most notably DDT by reaction with chloral (trichloroac-
etaldehyde), but this application has declined with the diminished
use of DDT. At one time, chlorobenzene was the main precursor
for the manufacture of phenol [5]. The major use of chloroben-
zene is as an intermediate in the production ofcommodities such
as herbicides, dyestuffs, and rubber. Chlorobenzene is also used
as a high-boiling solvent in many industrial applications as well
as in the laboratory [6]. Other applications include use as a fiber
Correspondingauthor. Tel.: +91 9976306898; fax: +91 9976306898.
E-mail address: [email protected] (D. Mahadevan).
swelling agent and dye carrier in textile processing, as a tar andgrease remover in cleaning and degreasing operations, as a sol-
vent in surface coating and surface coating removers, and as a
heat-transfer medium. Chlorobenzene is nitrated on a large scale
to give a mixture of 2- and 4-nitrochlorobenzenes, which can
be separated by fractional crystallization followed by distillation.
2-Nitrochlorobenzene is converted to related 2-nitrophenol, 2-
nitroanisole, bis(2-nitrophenyl)disulfide, and 2-nitropaniline by
nucleophilic displacement ofthe chloride with sodium hydroxide,
sodium methoxide, sodium disulfide and ammonia. The conver-
sion ofthe 4-nitrochlorobenzene is similar [7]. Dichlorobenzene
belong to the group oforganic halogen compounds replacing two
hydrogen atoms in benzene by chlorine atoms. 1,3-DCB used in the
fumigant and insecticide, solvent, chemical intermediate to man-
ufacture dyes, agrochemicals, pharmaceuticals and other organic
synthesis (Fig. 1).
In the present work, we have studied the FT-IR and FT-
Raman spectra of 1,3-DCB. The comparative IR and Raman
spectra of experimental and calculated DFT (B3LYP) are given
in Figs. 2 and 3 respectively. The ab initio HF and DFT cal-
culations are performed to obtain the ground state optimized
geometries and the vibrational wavenumbers ofthe different nor-
mal modes as well as to predict the corresponding intensities
for the different modes ofthe molecule. In DFT methods, Beckes
three parameter exact exchange-functional (B3) [8,9] combined
with gradient-corrected correlational functional of Lee, Yang and
Parr (LYP) [10,11] are the best predicting results for molecular
1386-1425/$ see front matter 2011 Elsevier B.V. All rights reserved.
doi:10.1016/j.saa.2011.04.003
http://dx.doi.org/10.1016/j.saa.2011.04.003http://dx.doi.org/10.1016/j.saa.2011.04.003http://dx.doi.org/10.1016/j.saa.2011.04.003http://www.sciencedirect.com/science/journal/13861425http://www.elsevier.com/locate/saamailto:[email protected]://dx.doi.org/10.1016/j.saa.2011.04.003http://dx.doi.org/10.1016/j.saa.2011.04.003mailto:[email protected]://www.elsevier.com/locate/saahttp://www.sciencedirect.com/science/journal/13861425http://dx.doi.org/10.1016/j.saa.2011.04.0038/2/2019 jour 56
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D. Mahadevan et al. / Spectrochimica Acta Part A 79 (2011) 962969 963
Fig. 1. Molecular structure of1,3-dichlorobenzene.
geometry and vibrational wave numbers for moderately largermolecule.
2. Experimental details
The spectroscopic grade 1,3-DCB was purchased from Sigma
Aldrich Chemicals, U.S.A. and used as such for recording spectra
without further purification. The FT-IR spectrum ofthe title com-
pound was recorded using Bruker IFS 66 V spectrometer in the
range of4000100 cm1. The spectral resolution is 2 cm1. The
FT-Raman spectrum of 1,3-DCB was also recorded in the same
instrument with FRA 106 Raman module equipped with Nd:YAG
laser source operating at 1.064m with 200 Mw power. Boththe spectra were recorded in the range of4000100 cm1 with
scanning speed of30 cm1 min1 of spectral width 2 cm1. Thefrequencies ofall sharp bands are accurate to 1 cm1.
Fig. 2. (A) Experimental, (B) calculated, (C and D) FTIR s pectr a of 1,3-
dichlorobenzene.
Fig. 3. (A) Experimental, (B) calcu late d, ( C and D) FT-Raman spectra of 1,3-
dichlorobenzene.
3. Computationalmethods
Many studies [1214] have shown that the DFT-B3LYP method
in combination with the 6-31++G (d, p) and 6-311++G (d, p) basis
sets are able to give the accurate energies, molecularstructures, and
infrared vibrational frequencies. The molecularstructure ofthe 1,3-
DCB in the ground state is computed by performing both ab initio
(HF) with 6-311++G(d, p) and DFT (B3LYP) with 6-31++G (d, p) and
6-311++G (d, p) basis sets. The optimized structural parameters
are used in the vibrational frequency calculations at HF and DFT
levels. The minimum energy ofgeometrical structure is obtainedusinglevel 6-311++G(d, p) basis sets.The calculatedfrequencies are
scaled by 0.914, 0.87, 0.99 and 1.07 for HF/6-311++G (d, p) [15,16].
For B3LYP with 6-31++G (d, p) set is scaled 0.955, 0.93, 1.01, 0.99,
and 1.07 and B3LYP/6-311++G (d, p) basis set is scaled with 0.96,
0.947, 1.01, 1.07 and 0.99 [17]. HF/DFT calculations for 1,3-DCB are
performed using GAUSSIAN 03W program package on Pentium IV
processor personal computer without any constraint on the geom-
etry [18,19]. The comparative values ofIR intensities and Raman
activities are presented in Table 3 and their corresponding graph
given in Figs. 4 and5.
4. Results and discussion
4.1. Molecular geometry
The molecularstructure ofthe 1,3-DCB belongs to CS point group
symmetry and its molecular structure is obtained from GAUSSAN
03 W and GAUSSVIEW programs are shown in Fig. 1. The molecule
contains two Chlorine atoms with benzene ring. The compara-
tive optimized structural parameters such as bond lengths, bond
angles and dihedral angles are presented in Table 1. The compar-
ative graphs ofbond lengths, bond angles and dihedral angles of
1,3-DCB for three sets are presented in Figs. 68 respectively. From
the theoretical values, it is found that most ofthe optimized bond
lengths are slightly larger than the experimental values, due to that
the theoretical calculations belong to isolated molecules in gaseous
phase and the experimental results belong to molecules in solid
state. Comparing bond angles and lengths ofB3LYP with those of
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Table 1
Optimized geometrical parameters for 1,3-dichlorobenzene computed at HF/6-311++ (d, p), B3LYP/6-31++G (d, p) and6-311++G (d, p) basis sets.
Geometrical parameters Methods
HF/6-311++G (d, p) B3LYP/6-31++G(d, p) B3LYP/6-311++(d, p) Experimental Values
Bond length(A)
C1C2 1.382 1.395 1.392
C1C6 1.381 1.395 1.381
C1Cl11 1.741 1.756 1.741 1.744
C2C3 1.382 1.395 1.382
C2H7 1.071 1.083 1.071 1.090
C3C4 1.381 1.395 1.381
C3Cl12 1.741 1.756 1.741 1.744
C4C5 1.384 1.396 1.384
C4H8 1.072 1.083 1.072 1.090
C5C6 1.384 1.396 1.384
C5H9 1.074 1.085 1.074 1.090
C6H10 1.072 1.083 1.072 1.090
Bond angle ()
C2C1C6 121.5 121.6 121.5
C2C1Cl11 118.9 118.8 118.9
C6C1Cl11 119.4 119.4 119.4
C1C2C3 118.3 118.1 118.3
C1C2H7 120.8 120.9 120.8
C3C2H7 120.8 120.9 120.8
C2C3C4 121.5 121.6 121.5
C2C3Cl12 118.9 118.8 118.9
C4C3Cl12 119.4 119.4 119.4 C3C4C5 118.8 118.7 118.8
C3C4H8 120.2 120.2 120.2
C5C4H8 120.9 121.0 120.9
C4C5C6 120.8 121.0 120.8
C4C5H9 119.5 119.4 119.5
C6C5H9 119.5 119.4 119.5
C1C6C5 118.8 118.7 118.8
C1C6H10 120.2 120.2 120.2
C5C6H10 120.9 121.0 120.9
Dihedral angles()
C6C1C2C3 0.0 0.0 0.0
C6C1C2H7 180.0 180.0 180.0
Cl11C1C2C3 180.0 180.0 180.0
Cl11C1C2H7 0.0 0.0 0.0
C2C1C6C5 0.0 0.0 0.0
C2C1C6H10 180.0 180.0 180.0
Cl11C1C6C5 180.0 180.0 180.0 Cl11C1C6H10 0.0 0.0 0.0
C1C2C3C4 0.0 0.0 0.0
C1C2C3Cl12 180.0 180.0 180.0
H7C2C3C4 180.0 180.0 180.0
H7C2C3Cl12 0.0 0.0 0.0
C2C3C4C5 0.0 0.0 0.0
C2C3C4H8 180.0 180.0 180.0
Cl12C3C4C5 180.0 180.0 180.0
Cl12C3C4H8 0.0 0.0 0.0
C3C4C5C6 0.0 0.0 0.0
C3C4C5H9 180.0 180.0 180.0
H8C4C5C6 180.0 180.0 180.0
H8C4C5H9 0.0 0.0 0.0
C4C5C6C1 0.0 0.0 0.0
C4C5C6H10 180.0 180.0 180.0
H9C5C6C1 180.0 180.0 180.0
H9C5C6H10 0.0 0.0 0.0
HF, as a whole the formers are bigger than later and the B3LYP
calculated values correlates well compared with the experimental
data. Although the differences, calculated geometrical parameters
represent a good approximation and they are the bases for the
calculating other parameters, such as vibrational frequencies and
thermodynamics properties.
From the data shown in Table 1, it is seen that both HF and DFT
(B3LYP/6-311++G (d, p)) levels oftheory in general estimate same
values ofsome bond lengths and bond angles. The perfect hexago-
nal structure ofbenzene is slightly distorted by the substitution of
couple ofCl atoms and is evident by the order ofCC bond length
ofthe ring as C3C4 = C6C1
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Table 2
Observed and HF/6-311++G (d, p), B3LYP/6-31++G (d, p) and B3LYP/6-311++G (d, p) level calculated vibrational frequencies of1,3-dichlorobenzene.
S.No. Symmetry
species CS
Observed
frequency
Calculated frequency
(cm1) with
HF/6-311++G (d, p)
Calculated frequency
(cm1) with
B3LYP/6-31++G (d, p)
Calculated frequency
(cm1) with
B3LYP/6-311++G (d, p)
Vibrational
assignments
FTIR FT-Raman Unscaled
value
Scaled
value
Unscaled
value
Scaled
value
Unscaled
value
Scaled
value
1 A 3090w 3381 3090 3237 3091 3219 3090 (CH)
2 A 3080s 3372 3082 3227 3081 3209 3080 (CH)
3 A 3070m 3367 3077 3223 3077 3205 3076 (CH)
4 A 3010w 3341 3053 3197 3053 3180 3011 (CH)
5 A 1580vs 1580w 1762 1610 1621 1548 1611 1594 (C C)
6 A 1500w 1756 1527 1620 1506 1611 1525 (C C)
7 A 1480s 1619 1479 1495 1480 1490 1475 (C C)
8 A 1460vs 1553 1419 1444 1458 1439 1453 (CC)
9 A 1410vs 1420 1405 1342 1435 1328 1420 (CC)
10 A 1400s 1297 1387 1295 1385 1289 1379 (CC)
11 A 1130vs 1130w 1227 1121 1190 1136 1188 1140 (CH) 12 A 1110s 1110w 1199 1095 1133 1121 1129 1117 (CH) 13 A 1080vs 1080w 1174 1073 1101 1089 1097 1086 (CH) 14 A 1070vs 1070w 1172 1071 1096 1085 1094 1083 (CH) 15 A 1000m 1000vs 1103 1008 1009 998 1011 1000 (CH) 16 A 960w 1080 987 985 940 982 972 (CH) 17 A 860vs 1020 887 904 863 903 866 (CH) 18 A 840w 998 868 882 842 883 847 (CH) 19 A 780vs 879 803 785 777 786 778 (CCl)
20 A 770vs 851 777 784 776 783 775 (CCl) 21 A 670vs 759 693 679 672 695 667 (CCC) 22 A 660w 660m 724 661 673 666 674 647 (CCC) 23 A 640w 607 649 544 582 548 586 (CCC) 24 A 560w 486 520 444 475 444 541 (CCC) 25 A 480w 464 459 430 460 430 460 (CCC) 26 A 400m 429 392 397 393 397 400 (CCC) 27 A 370w 398 363 369 365 369 372 (CCl) 28 A 210w 224 204 202 199 201 203 (CCl) 29 A 200w 212 193 197 195 197 198 (CCl) 30 A 180w 184 168 167 178 166 177 (CCl)
VS, very strong; S, strong; m, medium; w, weak; as, asymmetric; s, symmetric; , stretching; , in plane bending;, out plane bending; , twisting.
of1,3-DCB are distributed as Vib=21A +9A. In agreement with
CS symmetry all the 30 fundamental vibrations are active in both
Raman scattering and IR absorption. The harmonic-vibrational fre-
quencies calculated for 1,3-DCB at HF and B3LYP levels using the
triple split valence basis set along with the diffuse and polariza-
tion functions, 6-31++G (d, p) and 6-311++G (d, p) observed FT-IR
and FT-Raman frequencies for various modes ofvibrations have
been presented in Table 2. Comparison offrequencies calculated
at HF with the experimental values reveals the over estimation of
the calculatedvibrational modes due to the neglect ofanharmonic-
Fig. 4. Comparative graph ofIR intensities by HF andDFT (B3LYP).
ity in real system. Inclusion ofelectron correlation in the Density
functional theory to certain extends makes the frequency values
smaller in the comparison with the HF frequency data. Reduction
in the computed harmonic vibrations, although basis set sensitive
are only marginal as observed in the DFT values using 6-311++G (d,
p). Any way not withstanding the level ofcalculations, it is custom-
ary to scale down the calculated harmonic frequencies in order to
develop the agreement with the experiment.
Fig. 5. Comparative graph ofRaman activities by HF and DFT (B3LYP).
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966 D. Mahadevan et al./ Spectrochimica Acta Part A 79 (2011) 962969
Table 3
Comparative values ofIR intensities and Raman activities between HF/6-311++G (d, p), B3LYP/6-31++G (d, p) and B3LYP/6-311++G (d,p) of1,3-dichlorobenzene.
S.No. Calculated w ith H F/6-311++G ( d, p ) Calculated with B3LYP/6-31++G (d, p) Calculated with B3LYP/6-311++G (d, p)
IR intensity (Ai) Raman activity (I) IR intensity (Ai) Raman activity (I) IR intensity (Ai) Raman activity (I)
1 0.084 0.585 0.137 0.774 0.092 0.653
2 0.441 2.381 0.315 2.829 0.284 2.983
3 0.000 1.002 0.000 1.211 0.000 1.106
4 0.519 1.090 0.612 1.018 0.676 1.094
5 3.502 11.555 3.683 10.128 3.745 9.973
6 4.388 4.015 5.742 3.324 5.917 3.238
7 4.699 0.000 4.894 0.000 4.163 0.000
8 0.000 0.199 0.000 0.152 0.000 0.412
9 2.315 9.023 2.285 6.916 2.254 7.119
10 22.807 0.002 14.937 0.005 17.313 0.000
11 89.611 0.041 94.343 0.073 95.836 0.173
12 49.811 0.351 44.830 0.078 43.449 0.021
13 17.513 0.002 13.021 0.015 15.457 0.003
14 0.000 0.549 0.000 0.257 0.000 0.245
15 2.950 45.849 0.082 0.061 0.159 0.092
16 0.210 0.091 4.671 43.494 3.998 44.105
17 16.247 5.856 24.539 12.702 25.161 11.933
18 13.487 0.815 25.109 0.068 25.537 0.028
19 15.597 3.763 17.560 15.738 17.884 15.028
20 26.861 11.848 0.428 1.327 0.476 1.118
21 0.112 0.002 2.031 0.282 1.727 0.610
22 2.372 0.035 0.714 1.651 1.350 1.378
23 16.304 1.713 12.094 2.345 12.692 1.99024 70.187 0.352 71.970 0.001 75.789 0.008
25 28.724 9.205 26.590 9.012 85.876 21.950
26 90.110 21.504 85.849 21.836 28.054 9.002
27 5.576 65.768 5.426 88.391 4.741 83.047
28 1.089 50.034 0.916 60.323 0.499 56.381
29 3.044 152.901 1.774 171.154 1.313 166.631
30 0.474 57.359 0.522 68.733 0.764 65.751
4.2.1. Computed IR intensity and Raman activity analysis
Computed vibrational spectral IR intensities and Raman activi-
ties ofthe 1,3-DCB for corresponding wave numbers by HF method
of6-311++G (d, p) and DFT methods with B3LYP at 6-31++G(d, p)
and 6-311++G (d, p) basis sets have been collected in Table 3. 1,3-
DCB is a non polar and belongs to CS point group. Comparison ofIR
intensity and Raman activity calculated by HF and DFT with B3LYPat 6-31++G (d, p) and6-311++G(d, p) levels with experimental val-
ues exposes the variation ofIR intensities and Raman activities. In
the case of IR intensity, the values ofHF are found to be higher
than B3LYP at 6-311++G (d, p) levels whereas in the case ofRaman
Fig. 6. Bond length differences between theoretical (HFand DFT) approaches.
activity the effect is reversed. The similar effect was observed in the
previous report [23].
4.2.2. Computed vibrational frequency analysis
The comparative graph ofcalculated vibrational frequencies by
HF and DFT methods at HF/6-311++G (d, p), B3LYP/6-31++G (d, p)
and B3LYP/6-311++G (d, p) basis sets for the 1,3-DCB are given inFig. 9. From the figure, it is found that the calculated (unscaled)
frequencies by B3LYP with 6-311++G (d, p) basis sets are closer to
the experimental frequenciesthan HF method with 6-311++G(d, p)
basisset. This observation is supportedby the literature report [24].
The standard deviation (SD) calculation made between experimen-
Fig. 7. Bond angle differences between theoretical (HFand DFT) approaches.
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Table 4
Standard deviation offrequencies by HF 6-311++G(d, p),DFT (B3LYP) at 6-31++G (d, p) and 6-311++G(d, p) basis sets.
S.No. Basic set levels Total values Average Standard Deviation Deviation ratio
1 Experimental value 35,050 1168.33
2 HF/6-311++(d, p) 38,058 1268.6 77.05 2.40
3 B3LYP/6-31++(d, p) 35,672 1189.06 32.05
4 B3LYP/6-311++(d, p) 35,558 1185.26 29.13 2.64
Fig. 8. Dihedral angle differences between theoretical (HF and DFT) approaches.
tal and computedfrequencies (HF/DFT) for the 1,3-DCB is presented
in Table 4. According to the SD, the computed frequency deviation
decrease in going from HF/6-311++G (d, p) to B3LYP/6-31++G (d,
p) to B3LYP/6-311++G (d, p). The deviation ratio between HF/6-
311++G (d, p) and B3LYP/6-31++G (d, p) is 2.40 and HF/6-311++G(d, p) and B3LYP/6-311++G (d, p) is 2.64. It also proved that, the cal-
Fig.9. Comparative graphofcomputedfrequencies(HF andDFT) with experimental
frequencies.
culated frequencies by B3LYP/6-311++G (d, p) basis sets are closerto the experimental frequencies than HF method.
4.2.3. CH vibrations
The aromatic structure shows the presence ofCH stretching
vibrations in the region 31003000 cm1 which is the character-
istic region for ready identification of CH stretching vibrations
[2528]. The bands appeared at 3090, 3080, 3070 and3010 cm1 in
the 1,3-DCB have been assigned to CH ring stretching vibrations.
The CH in-plane ring bending vibrations are normally occurred as
a number of strong to weak intensity bands in the region 1300-
1000 cm1 [29]. In the present case, four CH in-plane bending
vibrations ofthe present compound are identified at 1130, 1110,
1080, 1070cm1. The calculated frequencies ofB3LYP/6-31++G (d,
p) and B3LYP/6-311++G (d, p) methods for CH in-plane bendingvibrations showed excellent agreement with recorded spectrum as
well as literature data. The CH out-of-plane bending vibrations
are normally observed in the region 1000809cm1 [3035]. The
four CH out-of-plane bending vibrations are observed at 1000,
960,860 and840 cm1. Thesein-planeand out-of-plane vibrational
frequencies are found to be well within their characteristic region.
4.2.4. CCvibrations
Generally C C stretching vibrations in aromatic compounds
form a band in the region of 14301650 cm1 [36,37]. Accord-
ingly, in the present study, the C C stretching vibrations of1,3-DCB
are observed at 1580, 1500 and 1480 cm1. The theoretically
computed frequencies for CH in-plane bending vibrations by
B3LYP/6-311++G (d, p) method showed excellent agreement withrecorded spectrum as well as literature data. Ring CC stretching
vibrations normally occur in the region 15901430 cm1[37]. In
the present case, the CC stretching vibrations are found at 1460,
1410 and 1400 cm1. When compared to the literature range cited
above, there is a considerable decrease in frequencies which is also
worsening with the increase ofmass ofsubstitutions. In the present
work, three strong bands found at 670, 660 and 640 cm1 are
assigned to CCC in-plane bending and three supplementary bands
Fig. 10. Variation ofthe atomic charges for different basis sets ofHF and DFT.
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968 D. Mahadevan et al./ Spectrochimica Acta Part A 79 (2011) 962969
Table 5
Theoretically computed zero point vibrational energy (kcal mol1), rotational constants (GHz), rotational temperature (K), thermal energy (kcalmol1), molar capacity at
constant volume (calmol1 K1) entropies (calmol1 K1) and dipole moment (Debye) for 1,3-dichlorobenzene.
Parameters HF/6-311++ (d, p) B3LYP/6-31++ (d, p) B3LYP/6-311++(d, p)
Zero point vibration energy 54.429 51.018 50.854
Rotational constants
2.856 2.804 2.815
0.864 0.849 0.852
0.663 0.652 0.654
Rotational temperature
0.137 0.134 0.135
0.041 0.040 0.0400.031 0.031 0.031
Energy
Translational 0.889 0.889 0.889
Rotational 0.889 0.889 0.889
Vibrational 56.578 53.436 53.270
Total 58.355 55.213 55.047
Molar capacity at constant volume
Translational 2.981 2.981 2.981
Rotational 2.981 2.981 2.981
Vibrational 17.157 18.948 18.937
Total 23.119 24.909 24.899
Entropy
Translational 40.845 40.845 40.845
Rotational 28.285 28.338 28.328
Vibrational 11.330 12.901 12.909
Total 80.461 82.085 82.083
Dipole moment 1.938 2.250 2.223
Table 6
Mulliken atomic charges of1,3-dichlorobenzene performed at HF/6-311++G (d, p), B3LYP/6-31++G (d, p) and B3LYP/6-311++G (d, p) basis sets.
Atoms Mulliken atomic charges
HF/6-311++G (d, p) B3LYP/6-31++G (d, p) B3LYP/6-311++G (d, p)
C1 0.346 0.251 0.455
C2 0.379 0.645 0.762
C3 0.346 0.251 0.455
C4 0.579 0.375 0.533
C5 0.577 0.003 0.464
C6 0.579 0.375 0.533
H7 0.234 0.123 0.174
H8 0.215 0.138 0.180
H9 0.224 0.136 0.192
H10 0.215 0.138 0.180Cl11 0.266 0.179 0.326
Cl12 0.266 0.179 0.326
are assigning at 560, 480 and 400 cm1 to CCC out-of-plane bend-
ing. These assignments are in line with the assignments proposed
by the literature [38,39].
4.2.5. CCl vibrations
The vibration belonging to the link between the CCl is signifi-
cant to discuss here since mixing ofvibrations are possible due to
the lowering ofthe molecular symmetry and the presence ofheavy
atoms on the periphery ofthe molecule [40]. The assignments of
CCl stretching and deformational modes have been made through
comparison with similar assignments in other halogens substitutedbenzene derivatives. The CCl stretching vibration gives generally
a strong band in the region 750580 cm1 [41,42]. In this case,
a strong band for CCl stretching vibration is observed at 780,
770 cm1. CCl in plane bending vibration compounds form a band
in the region of385265 cm1 [43]. Accordingly, the bands are
identified at 370, 210 cm1 have been assigned to CCl in-plane
bending modes. The CCl out-of-plane bending vibrations have
been established at 200, 180cm1.
4.2.6. Other molecular properties
Several calculated thermodynamic parameters are presented in
Table 5. Scale factors have been recommended [44] for an accu-
rate prediction in determining the zero-point vibration energies
(ZPVE), and the entropy, Svib (T). The variations in the ZPVEs seem
to be insignificant. The total energies are found to decrease with
the increase ofthe basis set dimension. The changes in the total
entropy of1,3-DCB at room temperature at different basis set are
only marginal.
4.2.7. Mulliken atomic charges
The total atomic charges of 1,3-dichlorobenzene obtained by
Mulliken population analysis with different (HF) with 6-311++G(d,
p) and DFT (B3LYP) with 6-31++G (d, p) and 6-311++G (d, p) basis
sets were listed in Table 6. The negative values on C2, C4, C5and C6
atom in the aromatic ring lead to a redistribution ofelectron den-sity. Due to this strong negative charges, C1 and C3 accommodate
higher positive chargeand becomes more acidic. The atomic charge
obtained from B3LYP/6-311++G (d, p) basis set shows that Chlorine
atom is more acidic due to more positive charge. The better repre-
sented graphical form ofthe results has been done in Fig. 10. Fig. 10
shows Mulliken charge ofatoms for (HF) with 6-311++G (d, p) and
DFT (B3LYP) with 6-31++G (d, p) and 6-311++G (d, p) basis sets,
respectively.
5. Conclusion
Attempts have been made in the current paper for the proper
frequency assignments for the compound 1,3-dichlorobenzene
from the FT-IR and FT-Raman spectra. The equilibrium geometries,
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D. Mahadevan et al. / Spectrochimica Acta Part A 79 (2011) 962969 969
vibrational frequencies, infrared intensities and Raman activities
are calculated and analyzed by HF and DFT(B3LYP) levels oftheory
utilizing 6-31++G (d, p) and 6-311++G (d, p) basis sets. Comparison
between the calculated vibrational frequenciesand the experimen-
tal values indicates that both the methods can predict the FT-IR
and FT-Raman spectra ofthe title compound well. The Scaling fac-
tors used in this study made a reliable agreement between the
calculated and experimental values. In particular, the results of
DFT-B3LYP method indicate better fit to experimental ones than
ab initio HF upon evaluation ofvibrational frequencies. The opti-
mized geometrical parameters calculated at B3LYP basis sets are
slightly larger than those calculated at HF level. The atomic charges
and dipole moment in the title molecule are also discussed elabo-
rately. Several thermodynamic parameters ofthe title molecule are
comparatively discussed.
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