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JOURNAL OF RAMAN SPECTROSCOPYJ. Raman Spectrosc. 2007; 38: 1227–1241Published online 22 August 2007 in Wiley InterScience(www.interscience.wiley.com) DOI: 10.1002/jrs.1725
FTIR and FT-Raman spectra and density functionalcomputations of the vibrational spectra, moleculargeometry and atomic charges of the biomolecule:5-bromouracil
V. K. Rastogi,1∗ M. A. Palafox,2 L. Mittal,3 N. Peica,4 W. Kiefer,4 K. Lang5 and S. P. Ojha1
1 Department of Physics, CCS University, Meerut-250 004, India2 Departmento of Quimica-Fisica (Espectroscopia), Facultad de Ciencias Quimicas, Universidad Compultense, Madrid-28040, Spain3 Department of Physics, Inderprastha Engineering College, Ghaziabad-201010, India4 Institut fur Physikalische Chemie, Universitat Wurzburg, Am Hubland, D-97074 Wurzburg, Germany5 Department of Kinetics, Institute of Inorganic Chemistry, Academy of Sciences of Czech Republic
Received 12 October 2006; Accepted 4 January 2007
FTIR and FT-Raman spectra of 5-bromouracil in the powder form were recorded in the region400–4000 cm−1 and 50–4000 cm−1, respectively. The observed wavenumbers were analysed and assignedto different normal modes of vibration of the molecule. Quantum chemical calculations were performedto support the assignments of the observed wavenumbers. The performance of the B3LYP hybrid densityfunctional (DFT) method was compared with other methods. With the 6–31 G∗∗ and 6–311+G(2d,p) basissets, the calculated geometry, dipole moments and harmonic vibrations were determined. A comparisonwith the uracil molecule was made, and specific scale factors were deduced and employed in the predictedwavenumbers of 5-bromouracil. The total atomic charges and thermodynamic parameters were calculated,and are discussed briefly. Structure and harmonic vibrations of 5-bromouracil were also calculated in thepresence of water within a simple model with one molecule. It is observed that the bromine atom atposition 5 exhibits smaller inductive effects than the fluorine atom, producing a small distortion of theelectrostatic potential around the ring and a reduction of the molecular dipole moment. Copyright 2007John Wiley & Sons, Ltd.
KEYWORDS: FTIR and FT-Raman spectra; density functional computations; molecular geometry; atomic charges;biomolecule; 5-bromouracil
INTRODUCTION
The halogenated pyrimidines were synthesised in the 1950sas potential anti-tumour agents after the discovery thatcertain tumours preferentially incorporated uracil ratherthan thymine into the DNA.1 Among these compoundsthe 5-halogenated uracils deserve special attention. Trans-formation of uracil into 5-X uracil (X = halogen) significantlychanges its chemical and spectroscopic properties, as wellas its in vivo activity. They have been found to exert pro-found effects in a variety of microbiological and mammaliansystems. It has been suggested that 5-halogeno deriva-tives may adopt rare hydroxy forms more easily than thenon-substituted uracil and therefore can act as a stronger
ŁCorrespondence to: V. K. Rastogi, Department of Physics, CCSUniversity, Meerut-250 004, India.E-mail: v [email protected]
mutagenic agent. Extensive work, both theoretical and exper-imental, have been done on uracil and its derivatives.2 – 5
5-Chlorouracil and 5-bromouracil (5-BrU) have been studiedto treat inflammatory tissues.6,7 The 5- and 6-halouracils havealso been investigated as a possible class of radio-sensitisers,which are used to control damage to healthy tissues in radi-ation therapy.8 However, their vibrational spectra have notbeen completely and accurately interpreted. This task canbe satisfactorily carried out with the use of density func-tional theory (DFT). As a first step towards this study of5-halogenated pyrimidines, we have studied the vibrationalspectra of 5-fluorouracil: an anticancer drug.3 This com-pound is widely recognised today as an effective treatmentmodality, especially with tumours of the head, neck andbreast.1,4 DNA normally contains uncommon nucleotidesusually in very small amount. 5-Bromouracil is one of thewell-known uncommon nucleotide bases and has the ability
Copyright 2007 John Wiley & Sons, Ltd.
1228 V. K. Rastogi et al.
to co-ordinate metals or to bind to tissues via metals. Inorder to extend this study further, the present work has beenundertaken on 5-bromouracil, which also interfaces with thegrowth of cancer cells.
Substitution of thymine with 5-BrU in DNA is knownto change interaction between DNA and proteins (increasethe cross-linking efficiency and reduce the direct damage),thereby inducing various biological phenomena.9,10 TheseDNA-interacting sites have been identified.11,12 Severalstudies reveal its great medicinal importance.3,13 5-BrUforms complexes with MS2 RNA-protein.14 Incorporatedinto nuclear DNA, 5-BrU is a well-known mutagen,15 andrepairs the replication of damaged DNA in UV irradiatedbacteria.16 In contrast to DNA, the presence of 5-BrU inDNA-PNA (peptide nucleic acid) chimeras destabilised thetriple helix.17 Mixed-ligand complexes of Co(II), Ni(II),Cu(II), Zn(II) and Cd(II) with adenine as primary ligandand 5-BrU as secondary ligand have been reported.18 – 22
Oligonucleotides containing 5-BrU have been used to studythe radiation-induced electron migration (a mechanism thatrandomly can lead to a damage along DNA) in nucleicacids.23 – 25
From spectroscopy point of view, 5-BrU in the gasphase has been studied by several experimental techniques,such as dissociative electron attachment (DEA),26 electronicabsorption and fluorescence emission spectra,27,28 NMR29,30
and ESR.31 Its vibrational spectra have been also studiedwithout any theoretical support: the Raman spectra byRai,32 and the FTIR in an Ar-matrix by Graindourzeet al.,33,34 Gusakova et al.,35 Srivastava et al.36 and Sanyalet al.37 However, there are doubts in the assignment ofseveral bands because the compound is highly fluorescent innature.38,39 In our previous work, IR and Raman studies onthis molecule have also been reported, but again withouttheoretical support.40 During the process of preparationof the present paper, a good report on the Ar-matrix IRspectra of 5-halouracils has also been published.41 However,the present work on 5-BrU remarkably improves upon theearlier results, identifying all the bands for the first timeand reviewing the assignments of several bands. Hartree-Fock (HF) and density functional ab initio calculations wereperformed to support our wavenumber assignments. To thebest of our knowledge, such studies have not been reportedearlier on 5-BrU.
The specific interactions between the purine and pyrim-idine bases are one of the corner stones of molecularbiology. These interactions, which underlie the transmis-sion of genetic information, are governed in large part by theNHÐ Ð ÐO or NHÐ Ð ÐN hydrogen bonds, and they are expectedto depend not only on the proton acceptor ability of the Oor N atoms but also on the intrinsic acidity of the NH bondsinvolved in the interaction. As first step in this study andto shed more light on the accurate prediction of geometryand spectroscopic characteristics of the molecule in questionin the gas phase and in water, detailed MO calculations can
be compared with the earlier reported data of uracil.42 Thehydration of 5-halo derivatives have been reported only in5-FU.43,44
EXPERIMENTAL
5-Bromouracil (solid state) of spectral grade was purchasedfrom M/s Aldrich Chemical Co (Milwankee, WI, USA) andused as such without any further purification.
The FT-Raman spectrum of 5-BrU was recorded at roomtemperature in the powder form in the region 50–4000 cm�1
on a Bruker IFS66 optical bench with an FRA 106 Ramanmodule attachment. The sample was mounted on the sampleilluminator using an optical mount and no sample pre-treatment was undertaken. The NIR output (1064 nm) ofan Nd : YAG laser was used to excite (the probe) thespectrum. The instrument was equipped with a liquid-nitrogen-cooled Ge detector. The laser power was set at100 mW and the spectrum was recorded over 1000 scans at afixed temperature. The spectral resolution was 6.0 cm�1 afterapodisation.
The mid-infrared spectrum of the compound from400–4000 cm�1 was recorded with a Perkin Elmer FTIRmodel 1760 X instrument, using the KBr technique with1 mg sample per 300 mg KBr. For the spectrum acquisition,four scans were collected at 4 cm�1 resolution.
COMPUTATIONAL METHODS
Ab initio calculations45 with wavefunction-based HF andMP2,46 and DFT47 were used. The DFT hybrid methods withthe Becke exchange functional (B)48 and the Becke’s three-parameter exchange functional (B3),49,50 and in combinationwith the correlational functional of Lee, Yang and Parr(LYP),51 Perdew 1986 (P86),52,53 Perdew and Wang’s 1991(PW91),54,55 and modified Perdew-Wang 91 (MPW1PW91)56
were used. These hybrid functionals were selected for theirbetter predicting ability of the molecular properties. The basissets used in this work are the two standard ones widely usedfor quantum chemical studies because of their reasonablequality and size: 6–31GŁŁ and 6–311CG(2d,p). Dunning’scorrelation-consistent basis sets double (cc-pVDZ) and triple-zeta (cc-pVTZ) have also been used.57 – 59 The presence ofboth polarization and diffuse functions in the basis setis necessary for a proper theoretical description of themolecular parameters. These procedures are implementedin the Gaussian 98 program package,60 which was utilized inthe Unix version with standard parameters.
The optimum geometry was determined, with thekeyword OPT, by minimising the energy with respectto all geometrial parameters without imposing molecularsymmetry constraints. Berny optimization under the tightconvergence criteria was used. Harmonic wavenumberswere calculated to characterise the stationary points and toevaluate the wavenumber shifts due to complex formation
Copyright 2007 John Wiley & Sons, Ltd. J. Raman Spectrosc. 2007; 38: 1227–1241DOI: 10.1002/jrs
FTIR and FT-Raman spectra of 5-bromouracil 1229
with water. The keyword Freq D Raman was used for thistask and at the same level of the respective optimisationprocess. The keyword Raman was employed to obtainRaman values. All the optimised structures showed positiveharmonic vibrations only (true energy minimum). For thecalculation of the zero-point vibrational energy (ZPE), thewavenumbers were retained unscaled.
RESULTS AND DISCUSSIONS
Geometry optimisationNon-hydrated formThe optimised bond lengths and angles for 5-BrU usingab initio and DFT methods are given in Table 1, while thelabelling of the atoms is plotted in Fig. 1. For comparisonpurposes, in the last three columns of Table 1 are collectedthe experimental data reported by X-ray and by electrondiffraction (ED) in the uracil molecule,61 – 63 together withtheir calculated values by B3LYP.
When the bromine atom is introduced in the position 5 ofthe uracil molecule, a small effect is observed in the molecularstructure, e.g. the calculated C C and C–C bond lengthsat B3LYP/6-31GŁŁ level in 5-BrU, 1.3513 A and 1.4699 A,respectively, appear very close to those determined in uracilmolecule, 1.3498 A and 1.4602 A, respectively. The otherbond lengths are observed to change insignificantly. Theangles C–C5 C and O C4 N3 in 5-BrU are found to be120.37° and 120.87°, respectively, which are fairly close tothe corresponding values of 119.94° and 120.38° in uracil.However, large errors were determined3 in 5-FU.
Figure 1. Labeling of the atoms in 5-BrU.
Except at the HF level, the calculated bond lengthsappear very close to the ED results of uracil, while theydiffer remarkably with the X-ray data.61 – 63 The calculatedC O bond lengths are sensitive to the inclusion of electroncorrelation. Its value is significantly underestimated by HF(1.19 vs 1.21 A reported experimentally in the gas phaseof uracil). As a result of H-bonding, the observed C Obond length obtained by X-ray diffraction is about 0.02 Alonger than in the gas phase of uracil. The lengths of theC–N and C–C single bonds are intermediate between thecorresponding aromatic and the saturated bonds, i.e. somearomatic character is on the ring structure.
With the increase of the basis set, the N–C, N–H,C C and C O bond lengths are slightly shortened, andthe C–C–Br angle is slightly opened. Among the methodsused, BLYP shows the longest calculated bond lengths. MP2computes N–C, C C, N–H, C O and C–Br bond lengthsremarkably longer than HF and much closer to B3LYP thanto HF. The results with the aug-cc-pVTZ basis set are similarto those obtained by using 6-311CCG(3df,pd) basis set.
The angles, in general, have not shown appreciabledifferences, at different levels, from those of the uracilmolecule. The molecule is completely planar, so the torsionalangles are 0 or 180°.
Hydrated formSpecial attention has been paid to the hydration because thebiological functions of nucleic acids are dependent on theirinteractions with the surrounding water. This interactiontakes place through both hydrophilic and hydrophobicsites forming two hydration shells, clearly described in thebibliography. To simulate theoretically the hydration effects,three procedures have been suggested64: (1) empirical scalingof the quantum mechanical force constants of the isolatedmolecule;65 (2) use of continuum model66 or (3) modellingof the solvated compound by a molecular complex withwater.67 The continuum model procedure has a solidtheoretical ground and is used mostly today, owing to mainlyits simplicity and the lower computation time required.However, from a strictly theoretical point of view, the thirdprocedure may be preferred, provided that the size of theconsidered complex is not too large. If this procedure is usedwith several water molecules, the first hydration shell canbe better reproduced than by using the continuum model.Therefore, for high accuracy this procedure is preferred inthe present work.
The presence of water is considered within a simplemodel with only one molecule, and in three positions,complexes A–C, which appear schematised at B3LYP levelin Table 2, making two simultaneous H-bonds to an aminohydrogen and to a carbonyl oxygen. A small difference inenergy appears among these conformations, the most stableone being the complex A. As in uracil molecule42 and itsderivatives44 the relation of stability is:
complexes A > complexes C > complexes B.
Copyright 2007 John Wiley & Sons, Ltd. J. Raman Spectrosc. 2007; 38: 1227–1241DOI: 10.1002/jrs
1230 V. K. Rastogi et al.
Tab
le1.
Geo
met
rical
par
amet
ers,
bon
dle
ngth
s(in
A)a
ndan
gles
(ind
egre
es)o
f5-B
rU
HF
B3L
YP
Ura
cila
Par
amet
ers
6–31
GŁŁ
6–31
CCG
ŁŁM
P2/
6–31
GŁŁ
BL
YP/
6–31
GŁŁ
B3P
86/
6–31
GŁŁ
6–31
GŁŁ
6–31
1C
G(2
d,p
)6–
311C
CG(3
df,p
d)
aug-
cc-
pVD
Zau
g-cc
-pV
TZ
B3P
W91
/6–
31G
ŁŁ
MPW
1P
W91
/6–
31G
ŁŁ
B3L
YP/
aug-
cc-
pVT
ZX
-ray
bE
lect
ron
diff
ract
ion
Bon
dle
ngth
sN
1–C
21.
3729
1.37
191.
3887
1.40
991.
3876
1.39
351.
3886
1.38
751.
3921
1.38
771.
3894
1.38
611.
3895
1.36
9(2)
c1.
395(
6)c
C2–
N3
1.37
021.
3693
1.38
691.
4008
1.38
111.
3865
1.38
191.
3806
1.38
561.
3808
1.38
241.
3793
1.37
941.
369(
2)c
1.39
1(6)
c
N3–
C4
1.38
891.
3887
1.40
431.
4273
1.40
191.
4087
1.40
601.
4051
1.40
971.
4050
1.40
421.
4006
1.40
801.
369(
2)c
1.41
5(6)
c
C4–
C5
1.47
041.
4704
1.46
611.
4766
1.46
411.
4699
1.46
481.
4652
1.47
001.
4651
1.46
601.
4639
1.45
461.
430(
3)1.
462(
8)C
5C
61.
3290
1.33
011.
3534
1.36
401.
3494
1.35
131.
3448
1.34
481.
3539
1.34
501.
3505
1.34
781.
3435
1.34
0(2)
1.34
3(24
)N
1–C
61.
3694
1.36
931.
3751
1.38
511.
3692
1.37
471.
3718
1.37
031.
3761
1.37
051.
3702
1.36
811.
3709
1.35
57e
1.39
6N
1–H
0.99
440.
9950
1.00
841.
0178
1.00
881.
0098
1.00
871.
0084
1.01
121.
0066
1.00
891.
0071
1.00
62–
1.00
2d
C2
O1.
1920
1.19
411.
2225
1.22
811.
2133
1.21
571.
2110
1.20
921.
2178
1.21
071.
2138
1.21
111.
2117
1.23
0(2)
c1.
212(
3)C
4O
1.18
891.
1907
1.22
371.
2288
1.21
321.
2156
1.21
021.
2081
1.21
631.
2098
1.21
361.
2107
1.21
431.
230(
2)c
1.21
1(3)
C–B
r1.
8758
1.86
701.
8802
1.90
731.
8680
1.88
471.
8912
1.88
561.
8923
1.88
661.
8728
1.86
84–
1.86
(2)f
–B
ond
angl
esN
–C2–
N11
3.52
113.
5811
2.30
112.
1711
2.69
112.
6311
2.90
112.
8411
2.96
112.
8411
2.62
112.
7111
3.06
114.
0(1)
114.
6(20
)C
–N3–
C12
8.33
128.
1812
9.47
129.
2712
9.01
128.
9512
8.56
128.
6812
8.67
128.
6712
9.08
129.
0112
7.97
126.
7(2)
126.
0(14
)N
–C4–
C11
3.08
113.
4311
2.27
112.
1711
2.59
112.
6011
2.90
112.
8011
2.78
112.
8111
2.52
112.
6011
3.61
115.
5(1)
115.
5(18
)C
–C5
C11
9.71
119.
2512
0.61
120.
9312
0.35
120.
3712
0.19
120.
1812
0.30
120.
1812
0.36
120.
2911
9.85
118.
9(2)
119.
7(21
)C
2–N
1–H
115.
7011
5.87
115.
1511
4.99
115.
1011
5.12
115.
4111
5.41
115.
4011
5.41
115.
1211
5.12
115.
18–
115.
7d
N3–
C2
O12
3.62
123.
5612
4.28
124.
7812
4.33
124.
3812
4.15
124.
1812
4.12
124.
1912
4.38
124.
3112
4.22
122.
3e12
1.6e
C4–
N3–
H11
6.02
116.
0911
5.39
115.
3811
5.62
115.
5911
5.77
115.
6911
5.72
115.
7011
5.55
115.
5911
6.32
––
N3–
C4
O12
0.89
120.
6212
1.25
120.
8012
0.98
120.
8712
0.58
120.
6412
0.57
120.
6312
0.95
120.
9812
0.23
119.
1e12
0.2
C4–
C5–
Br
118.
4611
8.85
117.
9511
7.89
117.
8211
7.97
118.
2811
8.30
118.
3111
8.30
117.
9211
7.91
118.
23–
118.
1d
C5
C6–
H12
2.25
122.
1512
2.49
122.
6312
2.24
121.
6612
2.37
122.
3612
2.47
122.
3712
2.31
122.
2612
2.65
–12
2.8d
aFr
omR
ef.4
1.b
From
Ref
.42.
cM
ean
valu
e.d
Fixe
dpa
ram
eter
.e
Det
erm
ined
wit
hth
ed
ata
repo
rted
inR
efs
41,4
2.fIn
brom
oben
zene
[52,
53].
Copyright 2007 John Wiley & Sons, Ltd. J. Raman Spectrosc. 2007; 38: 1227–1241DOI: 10.1002/jrs
FTIR and FT-Raman spectra of 5-bromouracil 1231
Tab
le2.
Eq
uilib
rium
geom
etrie
sat
the
B3L
YP
/6–
311
CG
(2d
,p)l
evel
ofhy
dra
ted
5-B
rUw
ithon
ew
ater
mol
ecul
e.B
ond
leng
ths
are
inA
,and
bon
dan
gles
ind
egre
es
Bon
dle
ngth
sC
ompl
exA
Com
plex
BC
ompl
exC
Bon
dan
gles
Com
plex
AC
ompl
exB
Com
plex
CIn
tera
tom
ican
gles
Com
plex
AIn
tera
tom
ican
gles
Com
plex
BIn
tera
tom
ican
gles
Com
plex
C
N1–
C2
1.37
891.
3831
1.39
22N
–C2–
N11
3.90
114.
0011
3.19
N1–
HÐÐ
Ð O13
144.
98N
3–H
ÐÐÐ O
1314
3.85
N3–
HÐÐ
Ð O13
144.
99C
2–N
31.
3761
1.37
281.
3811
C2–
N3–
C4
128.
1712
7.76
127.
77C
2O
ÐÐÐ H
1510
8.75
C2
OÐÐ
Ð H15
109.
17C
4O
ÐÐÐ H
1511
1.27
N3–
C4
1.40
901.
4058
1.39
58N
3–C
4–C
511
2.67
113.
1411
3.92
H7Ð
ÐÐ O–H
1413
5.06
H9Ð
ÐÐ O–H
1413
1.45
H9Ð
ÐÐ O–H
1413
1.93
C4–
C5
1.46
191.
4673
1.46
04C
4–C
C12
0.18
120.
2811
9.91
H7Ð
ÐÐ O–H
1585
.14
H9Ð
ÐÐ O–H
1585
.77
H9Ð
ÐÐ O–H
1584
.64
CC
1.34
651.
3436
1.34
59C
2–N
1–C
612
3.05
123.
4312
3.75
O8Ð
ÐÐ H15
–O14
2.64
O8Ð
ÐÐ H15
–O14
1.37
O10
ÐÐÐ H
15–O
142.
34N
1–C
61.
3690
1.37
351.
3683
N3–
C2
O12
2.99
124.
2812
4.37
C2–
N1–
H7Ð
ÐÐ O�6
.17
C2–
N3–
HÐÐ
Ð O�5
.45
C4–
N3–
HÐÐ
Ð O�5
.55
C2
O1.
2230
1.22
241.
2103
C4–
N3–
H11
5.83
117.
1611
5.45
N1–
HÐÐ
Ð O–H
1411
6.89
N3–
HÐÐ
Ð O–H
1411
7.70
N3–
HÐÐ
Ð O–H
1411
6.32
C4
O1.
2102
1.20
941.
2210
N3–
C4
O12
0.40
120.
7912
0.92
N1–
HÐÐ
Ð O–H
157.
76N
3–H
ÐÐÐ O
–H15
8.79
N3–
HÐÐ
Ð O–H
158.
31C
5–B
r1.
8919
1.89
141.
8919
C4–
C5–
Br
118.
2511
8.30
118.
61N
1–C
2O
ÐÐÐ H
151.
88N
3–C
2O
ÐÐÐ H
151.
63N
3–C
4O
ÐÐÐ H
151.
54R
Ca
:A19
1521
2813
65µ
(Deb
ye)
4.01
84.
783
3.45
5C
2O
ÐÐÐ H
15–O
1.91
C2
OÐÐ
Ð H15
–O5.
10C
4O
ÐÐÐ H
15–O
4.28
B44
644
655
7bT
otal
Enb
.962
310
.959
050
.959
799
O8Ð
ÐÐ H15
–O–H
14�1
39.8
6O
8ÐÐÐ H
15–O
–H14
�138
.96
O10
ÐÐÐ H
15–O
–H14
�138
.29
C36
236
939
6Z
PEc
63.7
1063
.522
63.5
63H
7ÐÐÐ O
–H15
ÐÐÐ O
8�4
.08
O8Ð
ÐÐ H15
–OÐÐ
Ð H9
�6.7
9H
9ÐÐÐ O
–H15
ÐÐÐ O
10�5
.99
aC
alcu
late
dro
tati
onal
cons
tant
sin
MH
z.b
�306
4.(A
U).
cZ
ero-
poin
tvib
rati
onal
ener
gyin
Kca
l/m
ol.
Copyright 2007 John Wiley & Sons, Ltd. J. Raman Spectrosc. 2007; 38: 1227–1241DOI: 10.1002/jrs
1232 V. K. Rastogi et al.
This fact has been attributed to the larger acidity of theN1–H bond than that of the N3–H bond and the largerbasicity of the O8 atom than that of the O10 atom.44 From thevalues of the total atomic charges (Table 6) it can be notedthat the negative charge on O8 is slightly higher than that onO10, while on N1 it is lower than on N3. The positive chargeon H9 is very close to that of H7 or slightly larger. Thesefeatures lead to remarkably shorter O8Ð Ð ÐH15 and H7Ð Ð ÐO13intermolecular bonds in complex A (i.e. the most stable) thanthose in complex C, which in turn are shorter than those incomplex B.
The water molecule slightly changes the geometry andcharge distribution. The main effect observed on hydrationis lengthening of the N–H and C O bonds involved in theintermolecular H-bonds by 0.01 A. By contrast, the neigh-bours N–C bonds (or N–C and C–C, complex C) shrank by0.005 A. This resembles in behaviour of a typical amide bondin water (enhanced amide resonance due to solute–solventinteraction68). As expected, the C–H bonds are not sensitiveto the presence of water, and the C–Br bond has a very smalllengthening, 0.0007 A. Under hydration, the carbonyl oxy-gen and the amino nitrogen involved in the H-bonds showmore negative charge, by 0.04 and 0.06 respectively, whilethe hydrogen amino is more positive, by 0.08.
The data presented in Table 2 indicate that the inter-molecular distances depend on the nature of the substituentsimplanted on the uracil ring. In uracil42 the OHwaterÐ Ð ÐOdistances vary within the limits of 1.92–1.96 A and theNHÐ Ð ÐOwater distance between 1.94 and 2.00 A, while in5-FU44 the values are 1.96–1.99 A and 1.92–1.97 A, respec-tively. This fact has been discussed in terms of the protonaffinities and deprotonation enthalpies of the bonds or atomsinvolved in the interaction with water.
The O13Ð Ð ÐH7 intermolecular bond in the complex A,1.9165 A, is slightly shorter than that corresponding tohydrated uracil,42 1.9400 A, while the O8Ð Ð ÐH15 (1.9623 A) islarger than in uracil, 1.9424 A. Thus the H7Ð Ð ÐO–H15 angleis opened (85.14 vs 83.69° in uracil) and the O8Ð Ð ÐH15–O13is closed (142.64 vs 144.47° in uracil). The H2O molecule incomplexes B and C is slightly rotated with a C4 OÐ Ð ÐH15–Oangle of approximately 5°, while in complex A by approxi-mately 2°. The values are analogous to uracil.42
Other hydration forms can also be formed with a waterdimer instead of the water monomer, or complexes withdifferent amounts of water, to reproduce the first hydrationshell.42 Another possibility could be through the bromineatom, with two simultaneous H-bonds to Br atom and tocarbonyl oxygen. This possibility, pointed out by Del Bene43
with low ab initio calculations for 5-FU, was not real in 5-BrU.Calculations performed at B3LYP/6-311Cg(2d,p) level giverises to the form shown in Fig. 2, with the H2O moleculeplaced symmetrically on the bromine atom, and with anintermolecular distance of 3.10 A, far for the consideration ofan intermolecular H-bond.
Figure 2. Optimum form computed by B3LYP/6-311CCG(2d,p)for the interaction of bromine atom with one H2O molecule.
Rotational constants, dipole moments, energy and har-monic ZPE for each system are also included at the bottomof Table 2. As in the uracil molecule,42 a significantly higherdipole moment is predicted for the complex B (the less stable)than for the complex A (the most stable). Complex C has thelowest dipole moment but it is only slightly more stable thancomplex B.
Vibrational wavenumbersThe present molecule belongs to the Cs point group withthe normal mode distribution 21a0 C 9a00. According to theselection rules, both a0 and a00 vibrations are allowed inRaman and IR spectra; a0 vibrations are totally symmetricand give rise to polarized Raman lines, whereas a00 vibrationsare antisymmetric and give rise to depolarized Raman lines.
The vibrational bands computed with our theoreticalmethods are shown in Table 3. The first and second columnslist their calculated wavenumbers at the HF/6-31GŁŁ andHF/6-31CCGŁŁ levels with their relative infrared intensities(the third column), their Raman activities (the fourth column)and the depolarization ratios (the fifth column). The relative
Copyright 2007 John Wiley & Sons, Ltd. J. Raman Spectrosc. 2007; 38: 1227–1241DOI: 10.1002/jrs
FTIR and FT-Raman spectra of 5-bromouracil 1233
intensities (and activities) were obtained by normalisingthe computed value to the intensity of the strongest line.The 6–19th columns collect the calculated values with theMPW1PW91, B3P86, B3LYP and B3PW91 methods. In the lastcolumn appears the percentage contribution of the differentmodes to a computed wavenumber. Contributions lowerthan 10% were not considered. The correspondence with theuracil ring modes36 appears in the previous column. It isobserved that most of the vibrational wavenumbers arise onaccount of mixing of different normal modes.
The observed IR and FT-Raman lines of 5-BrU along withtheir relative intensities are collected in Table 4. The IR datahave been reported in Ar-matrix by Graindourze et al.,33,34
Szczesniak et al.69 and Nowak et al.,70 columns 15–16th, andRaman lines by Rai,32 column 19. Our results in the solidstate, columns 17–18, complete these data specially in thelow-wavenumber region. For simplicity, the last column withthe assignments include only the contributions of the pre-dominant modes. Figures 3 and 4 show respectively, the FTIRand FT-Raman spectra of 5-BrU recorded in the solid state.
For comparison with our theoretical calculations, withexperimental only those wavenumbers were selected thatwere reported in Ar-matrix,69,70 but complemented with thevalues of Graindourze et al.33,34 and our Raman data. Onemay note that the computed wavenumbers correspond toAr-matrix or to solid state. Remarkable differences appearamong these data. The intermolecular forces present in thesolid state play a dominant role in modifying the magnitudesand intensities of the wavenumbers. However, in Ar-matrixthese forces are very low and therefore their wavenumberswere selected for the comparison, and thus a satisfactoryone-to-one correspondence can be established in Table 4. Theintensity of a band is another factor for its selection. Thus theexperimental band37 at 3058 cm�1 was chosen instead of theweak band33,34 at 3040 cm�1. This selection was in accordancewith our theoretical calculations. Table 4 also shows therevised assignment of several infrared bands, e.g. the bandat 906 cm�1 was reassigned as �(C6–H) instead of ring.33,34
The assignments for several modes are obvious andrequire no further discussion and therefore only a briefanalysis is given here. A general analysis of the differentmodes is as follows:
N–H modesThree fundamental modes are expected to appear above3000 cm�1, namely (C–H), (N1–H) and (N3–H) stretchingmodes. The C–H stretching appears in the 3030–3080 cm�1
range, while the N–H stretches are in 3420–3490 cm�1
range. These modes are essentially pure group modes, andare comparable to uracil or its other derivatives42,71; thesubstitution only induces shifts of about 1% or less. TheN–H stretching modes were calculated with medium IRintensity in accordance with the experimental results. Also,these modes were determined as the strongest Raman bandsin contrast to their non-detection in the Raman spectrum,
and may be due to fluorescence. In 5-FU the strongestRaman intensity corresponds to the C6–H stretching. Thepredicted values for the (N–H) stretching modes agreewell with the Ar-matrix data.33,34 Considerable loweringof the wavenumber of these modes is observed in the solidstate, indicating the presence of strong intermolecular forcesin 5-BrU. The lower magnitude of the stretching (N3–H)vibrational mode is due to the involvement of the H-atom atthe N3 position in the hydrogen bonding (with the O atomat the C4 position) of the type C OÐ Ð ÐH-N.
The N-H in-plane bendings are highly coupled to theother group or ring modes.
C O modesThe typical pattern of the absorption bands due to the C Ostretching vibrations of uracil and its derivatives is alwaysvery complex, and appears as very broad and strong IRbands. The C2 O vibrational mode was calculated by theDFT methods with the strongest IR intensity, which agreeswith the experimental value and higher than that of C4 Ovibrational mode. By contrast, by using HF the mode, C4 Oappears at a higher intensity than C2 O. In the uracilmolecule,71 mode C4 O appears by HF and DFT methodswith higher IR intensity than that of C2 O mode, althoughby DFT methods the difference in IR intensity is very smallwhile by HF it is very high (approximately 3 times). Asmall coupling is determined among the C2 O, C4 O andN–H modes. Under substitution, the mode remains almostunchanged, and thus the calculated wavenumbers of theC O modes in 5-BrU is observed close to uracil, only fewcm�1 higher, and they shift towards lower wavenumbersunder hydration.
The oxygen atom at the C4 position is involved inhydrogen bonding and therefore, the C2 O stretching modeis expected to appear at a higher wavenumber than theC4 O mode. The lower wavenumber of this mode in thesolid state and its broad intensity are due to different andstrong intermolecular forces through this group.
The planar bending modes due to C2 O and C4 Obonds are assigned at lower wavenumbers than the corre-sponding non-planar bending modes.
C–Br modesThe predicted C–Br stretching vibration at approximately620 cm�1 is in range reported in the literature,72 545 š75 cm�1. The in-plane C–Br deformation predicted at approx-imately 290 cm�1 is also in accordance with the literaturevalues, 300 š 60 cm�1, and it was assigned to the banddetected at 300 cm�1. However, the out-of-plane (C–Br)deformation is predicted at approximately 100 cm�1, far fromthe 230 š 65 cm�1 range reported for this mode as such theRaman band at 101 cm�1 has been assigned to this mode.72
C C and ring modesThe wavenumber of the (C C) stretch is slightly loweredwith the 5-X substitution of uracil, with the exception of 5-FU.
Copyright 2007 John Wiley & Sons, Ltd. J. Raman Spectrosc. 2007; 38: 1227–1241DOI: 10.1002/jrs
1234 V. K. Rastogi et al.
Tab
le3.
Vib
ratio
nalw
aven
umb
ers
(incm
�1)o
bta
ined
in5-
BrU
atd
iffer
ent
theo
retic
alle
vels
HFb
MPW
1PW
91B
3P86
B3L
YPf
B3P
W91
Ura
cil
wav
.aw
av.
IcA
dD
ep.e
wav
.aIc
wav
.aw
av.j
wav
.aw
av.
IcA
dD
ep.a,
eD
ep.e
Red
.gfo
rc.h
wav
.aIc
sym
.m
ode
Cha
ract
eris
atio
ni
3896
3888
1310
0.1
937
0219
3679
3628
.336
5336
32.7
1710
0.2
3.1
91.
088.
3936
7718
a030
100%
,v(N
1–H
)38
5838
479
69.2
336
6313
3639
3585
.036
1635
89.5
1176
.28
.23
1.08
8.18
3638
12a0
2910
0%,v
(N3–
H)
3410
3405
067
.33
3267
032
4832
25.4
3237
3213
.70
62.3
4.3
11.
096.
6632
470
a027
100%
,v(C
6–H
)20
1719
8753
35.1
218
8510
018
7017
94.7
1847
1793
.310
014
.21
.18
7.99
15.1
418
6710
0a0
2678
%,v
(C2
O)C
11%
,v(
C4
O)C
10%
,υ(N
–H)
2001
1971
100
24.5
618
4867
1831
1761
.618
0817
59.1
6524
.33
.38
9.20
16.7
718
2865
a025
76%
,v(C
4O
)C11
%,
v(C
2O
)C10
%,υ
(N3–
H)
1846
1839
1566
.14
1708
1116
9516
65.5
1679
1662
.011
36.1
7.1
45.
518.
9616
9211
a024
70%
,v(C
5C
6)C
20%
,v(r
ing)
1641
1638
1012
.59
1519
1615
0714
84.4
1493
1486
.112
10.5
9.4
92.
443.
1815
0515
a023
60%
,υ(N
1–H
)C38
%,v
(rin
g)15
4715
476
4.3
614
3714
1425
1404
.014
1114
08.8
132
.54
.61
2.11
2.47
1423
14a0
2265
%,v
(rin
g)C
30%
,υ(N
1–H
)15
6015
5911
1.6
914
122
1400
1392
.413
9613
99.8
51
.71
.75
2.50
2.89
1400
2a0
2175
%,υ
(N3–
H)C
14%
,υ(N
1–H
)C
10%
,υ(r
ing)
1482
1482
142
.28
1369
113
5913
42.7
1353
1346
.62
22.3
3.2
61.
831.
9613
571
a020
65%
,υ(C
6–H
)C20
%,v
(rin
g)C
13%
,υ(N
1–H
)13
2813
306
2.4
712
236
1211
1193
.811
9611
91.6
121
.52
.58
1.89
1.58
1208
8a0
1960
%,υ
(N1–
H,C
6–H
)C38
%,
v(ri
ng)
1255
1255
91
.14
1195
911
8711
62.7
1170
1156
.13
2.7
4.6
64.
373.
4411
857
a018
52%
,v(N
1–C
6)C
46%
,v(r
ing)
1147
1154
63
.25
1073
810
6310
49.7
1053
1055
.28
1.2
8.2
97.
074.
6410
628
a017
100%
,v(r
ing)
1062
1063
15
.56
989
198
197
0.4
971
970.
82
2.6
6.6
43.
001.
6697
92
a014
32%
,υ�N
3–H
�C
28%
,υ�C
6–H
�C
15%
,v(C
–N)C
18%
,υ(r
ing)
Copyright 2007 John Wiley & Sons, Ltd. J. Raman Spectrosc. 2007; 38: 1227–1241DOI: 10.1002/jrs
FTIR and FT-Raman spectra of 5-bromouracil 1235
1074
1124
12
.75
937
292
792
1.8
928
926.
02
2.7
5.7
51.
39.7
092
62
a0015
97%
,�(C
6–H
)84
083
91
12.0
579
00
784
772.
177
777
8.5
019
.11
.74
9.23
3.30
783
0a0
1210
0%,v
(rin
g)87
290
03
2.7
578
85
782
772.
577
677
3.5
41
.75
.07
9.00
3.17
781
5a00
1060
%,�
(C4
O)C
40%
,�
(N3–
H)
852
849
70
.75
763
875
575
5.5
748
757.
88
0.7
5.7
510
.62
3.59
754
8a00
1153
%,�
(C2
O)C
34%
,�
(C4
O)C
13%
,�(r
ing)
726
738
81
.75
689
1168
569
1.0
681
667.
512
3.7
5.7
51.
150.
3068
411
a009
68%
,�(C
–N3–
H)C
32%
,�
(rin
g)68
068
34
2.1
863
56
630
625.
762
662
9.2
61
.56
.34
7.20
1.68
630
6a0
–75
%,υ
(rin
g)C
20%
,v(C
–Br)
650
648
06
.25
604
060
059
3.6
598
597.
60
5.3
7.2
86.
611.
3960
00
a07
60%
,υ(r
ing)
C40
%,υ
(CO
)59
159
56
0.7
557
610
574
585.
756
755
1.3
92
.75
.75
1.11
0.20
573
10a00
898
%,�
(N1–
H)
587
588
14
.20
542
153
853
5.8
536
539.
52
3.3
2.2
28.
231.
4153
71
a06
100%
,υ(r
ing)
437
436
32
.55
400
339
739
3.5
395
397.
03
2.5
7.4
812
.29
1.14
396
3a0
353
%,υ
(CO
)C35
%,υ
(rin
g)42
948
83
1.7
539
63
393
393.
839
238
8.1
32
.75
.75
2.91
0.26
393
3a00
468
%,�
(C–H
)C32
%,�
(rin
g)30
630
90
5.2
729
10
289
283.
328
528
3.9
03
.32
.26
18.2
60.
8728
80
a0–
70%
,υ(C
–Br)
C30
%,υ
(rin
g)30
435
21
0.7
528
60
284
274.
428
126
8.2
00
.75
.75
11.2
90.
4828
40
a00–
75%
,�(N
CC
)C25
%,�
(C–H
)20
119
80
1.7
218
70
185
183.
318
618
3.2
01
.73
.72
13.0
00.
2618
50
a0–
80%
,υ(C
–Br)
C20
%,υ
(rin
g)16
817
00
0.7
515
50
155
154.
215
314
8.7
00
.75
.75
8.75
0.11
154
0a00
167
%,�
(CO
)C18
%,�
(rin
g)96
970
0.7
592
091
89.8
9187
.20
1.7
5.7
510
.84
0.05
920
a00–
37%
,�(C
O)C
29%
,�(C
–Br)
C22
%,�
(N1–
H)C
12%
,�(r
ing)
aW
ith
the
6–31
GŁŁ
basi
sse
t.b
Wit
hth
e6–
31CC
GŁŁ
basi
sse
t.c
I,re
lati
vein
frar
edin
tens
itie
sin
%.
dA
,rel
ativ
eR
aman
inte
nsit
ies
in%
.e
Ram
and
epol
ariz
atio
nra
tios
.fW
ith
the
6–31
1C
G(2
d,p
)bas
isse
t.g
Red
uced
mas
s(a
mu)
.h
Forc
eco
nsta
nts
(md
yneA
�1).
iB
yB
3LY
P/6–
311
CG
(2d
,p).
j Wit
hth
eau
g-cc
-pV
DZ
basi
sse
t.
Copyright 2007 John Wiley & Sons, Ltd. J. Raman Spectrosc. 2007; 38: 1227–1241DOI: 10.1002/jrs
1236 V. K. Rastogi et al.
Tab
le4.
Sca
led
wav
enum
ber
s(in
cm�1
)by
seve
ralp
roce
dur
esin
5-B
rUw
ithth
e6
–31
GŁŁ
bas
isse
t
Wit
han
over
all
scal
efa
ctor
aW
ith
one
scal
ing
equa
tion
bW
ith
two
scal
ing
equa
tion
sfW
ith
spec
ific
scal
efa
ctor
sbE
xper
imen
talg
HF
B3L
YP
HF
B3L
YP
B3L
YPc
B3L
YPd
MP
W1
PW91
eB
3LY
PcM
PW
1PW
91H
FB
3P86
B3L
YP
B3L
YPc
MP
W1
PW91
IRh
IRi
IRj
Ram
anj
Ram
ank
Ura
cil
mod
eA
ssig
nmen
t
3503
3513
3484
3486
3496
3491
3488
3478
3475
3479
3481
3479
3481
3481
3459
3471
m–
––
30�(
N1–
H)
3469
3476
3450
3451
3454
3450
3452
3438
3441
3432
3432
3432
3434
3433
3413
3425
m33
46w
?–
–29
�(N
3–H
)30
6631
1130
5030
9330
9631
0730
8230
9330
9230
9030
8930
9130
8930
9030
58l,
m–
3055
vs30
52.0
3058
27�(
C6–
H)
2904
vs28
95.6
w23
44s
1814
1776
1806
1779
1741
1741
1792
1760
1796
1760
1758
1758
1758
1760
1761
m–
1682
br16
75.3
vs17
7026
v(C
2O
)17
9917
3817
9217
4317
0917
1017
5817
2717
6117
4617
4217
4117
4317
4317
29m
1675
25v(
C4
O)
1660
1614
1654
1621
1616
1618
1627
1632
1630
1640
1632
1630
1633
1633
m16
35m
––
1618
.1s
–24
v(C
5C
6)14
95.0
m14
96–
–14
7614
3514
7114
4514
4814
4514
5114
6114
5314
5614
4914
4814
4914
4914
6314
58m
1440
s14
50.2
w14
4723
υ(N
1–H
)Cv(
ring
)13
9113
5713
8713
6813
7513
6813
7413
8513
7613
9113
9713
8913
8613
9714
0013
90m
–14
05.6
m14
2722
v(ri
ng)C
υ(N
1–H
)14
0313
4213
9813
5313
6613
5713
5113
7713
5313
9213
7013
7613
8113
7313
9713
77m
21υ(
N3–
H)
1333
1301
1329
1313
1315
1310
1311
1325
1312
1313
1328
1328
1321
1326
1327
m–
1342
s13
40.7
vs13
5020
υ(C
6–H
)Cv(
ring
)n
1194
1150
1191
1164
1167
1168
1174
1174
1175
1170
1159
1153
1153
1162
1192
1189
m12
29vs
1181
.1w
1255
19υ(
N1–
H,C
6–H
)Cv(
ring
)n
1128
1124
1126
1140
1133
1138
1148
1139
1149
1126
1150
1145
1138
1149
–11
54m
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Cv(
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3010
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4110
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593
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295
795
595
695
895
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095
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896
196
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966
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907
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928
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926
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763
777
756
769
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765
770
771
770
792
785
787
792
786
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7.5w
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ng)
793
777
784
768
769
766
768
766
768
779
766
763
762
766
760m
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10�
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�(N
3–H
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774
749
766
741
754
750
745
751
744
748
752
753
750
752
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m–
755s
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750
11�
(C2
O)C
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)n
660
681
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678
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688
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618
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613
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631
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625
625
624
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ng)C
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591
599
586
600
601
595
596
595
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597
599
599
597
599
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9s58
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ng)C
υ(C
O)
Copyright 2007 John Wiley & Sons, Ltd. J. Raman Spectrosc. 2007; 38: 1227–1241DOI: 10.1002/jrs
FTIR and FT-Raman spectra of 5-bromouracil 123753
756
753
357
055
758
857
054
956
954
854
854
954
954
754
8m–
546v
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H)
534
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545
540
539
538
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739
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640
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940
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440
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53
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392
389
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401
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402
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391
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388
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278
283
279
304
302
299
304
289
302
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Cυ(
ring
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276
279
277
300
287
290
300
273
297
�(C
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183
184
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206
204
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191
204
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ith
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cW
ith
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tion
:vsc
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9334
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fW
ith
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ing
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tion
s:vsc
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and
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0.91
84vca
l.�v
cal.
>20
00cm
�1�
for
B3L
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/6–
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and
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9375
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�an
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e.
Copyright 2007 John Wiley & Sons, Ltd. J. Raman Spectrosc. 2007; 38: 1227–1241DOI: 10.1002/jrs
1238 V. K. Rastogi et al.
Figure 3. Infrared spectrum of 5-BrU in solid state.
The null IR intensity predicted for mode 12 is inaccordance with the lack of bands in the IR spectra, but itwas computed with medium Raman intensity and thereforeit was observed at 747.5 cm�1.
Several combination and overtone lines were alsoobserved, and are included in Table 4.
ScalingTable 5 shows the rms (root-mean-square) errors obtainedwith the different methods and basis sets used in the presentwork. The second column shows the error in the calculatedwavenumbers. It is noted that a remarkably large erroris obtained by HF, while BLYP gives the lowest errors.The HF calculated results are usually more overestimatedthan the corresponding DFT ones, but even with these DFTmethods the error is too large for an accurate comparisonof our calculated wavenumbers with the experimental ones.Therefore, scaling is required.
It is well known that the calculated HF and DFT harmonicwavenumbers could significantly overestimate experimentalvalues because of a lack of electron correlation, insufficientbasis sets or anharmonicity. Much effort has been madeto reproduce accurately the experimental wavenumbers intheoretical calculations. Both uniform and individual scaling
Table 5. Errors (rms)Ł obtained in the calculated and scaledwavenumbers of 5-BrU by the different procedures, methodsand levels
Method (a) (b) (c) (d) (e)
HF/6–31GŁŁ 181 26.6 23.5 21.9 17.0HF/6–31CCGŁŁ 179 – 28.6 27.9 26.9BLYP/6–31GŁŁ 40 38.5 27.0 19.6 19.5B3P86/6–31GŁŁ 76 25.4 19.5 18.3 14.2B3LYP/6–31GŁŁ 67 25.9 18.7 16.6 15.2B3LYP/6–311 C G(2d,p) 55 – 18.6 15.0 15.6B3LYP/aug-cc-pVDZ – – – 14.4 14.2B3PW91/6–31GŁŁ 75 26.2 19.6 18.4 14.2MPW1PW91/6–31GŁŁ 86 – 19.0 18.3 13.9
rmsŁ, defined as (�ωcal � vexp�2/n�1/2, where the sum is over allthe modes, n, and vexp is from the second column: (a) calculatedwavenumbers; (b) scaled wavenumbers with an overall factor;(c) scaled with one scaling equation; (d) scaled with two scalingequations; (e) scaled wavenumbers with specific scale factors foreach mode.
of force constants and/or wavenumbers have been thesubject of substantial discussion in the literature.42,71,73 Thesescaling procedures are based on the transferability of theforce constants and/or the wavenumbers among similarmolecules and characteristic groups.
To improve the computed wavenumbers, in Table 4appears the scaled wavenumbers obtained by four pro-cedures.71 With the first one, all the computed wavenumbersat a specific level of theory were multiplied by a uniformscale factor.74 Another scale factor is required to be usedfor wavenumbers lower than 800 cm�1. Scale factors havebeen reported only for a few basis sets,74 and thereforethis procedure was not applied to several levels used inthe present work. The results obtained by HF and B3LYPmethods by applying this scaling are shown in the 1st and 2ndcolumns of Table 4. With this procedure error is remarkablyreduced, and the values obtained with the different methodsused are shown in the 3rd column of Table 5. With HF, thereduction is so large that the scaled wavenumbers are of
Figure 4. Raman spectrum of 5-BrU in solid state.
Copyright 2007 John Wiley & Sons, Ltd. J. Raman Spectrosc. 2007; 38: 1227–1241DOI: 10.1002/jrs
FTIR and FT-Raman spectra of 5-bromouracil 1239
accuracy comparable to B3-methods. In B-based proceduresa significant improvement with the scaling is not observedand they have the largest errors. However, with B3-basedprocedures, the errors are remarkably reduced and they areclose to HF; but in both cases the errors are larger than therequired accuracy. A noticeable improvement is obtainedwith the use of a scaling equation.
The second scaling procedure uses specific scaling equa-tions obtained previously from the uracil molecule.71 Theresults obtained with HF, B3LYP, B3PW91 and MPW1PW91methods are listed in the 3rd to 7th columns of Table 4, whilethe rms errors are shown in the 4th column of Table 5. Animprovement of approximately 20% is achieved over theoverall scale factor procedure.
With the use of the scaling equation approach, thelow-wavenumber vibrations are usually predicted fairlyaccurately, while stretching wavenumbers appear overes-timated. By dividing the wavenumber range into two parts,and using one scaling equation for the 0–2000 cm�1 rangeand another one for the 2000–4000 cm�1 range, the error inthe stretching region is remarkably reduced.68 These equa-tions were obtained by linear fittings of the values for theuracil molecule. Thus the main purpose of this third proce-dure is to improve the scaled stretching wavenumbers. Thescaled values for B3LYP and MPW1PW91 are shown in the8th–9th columns of Table 4, while the rms errors obtainedappear in the 5th column of Table 5. A significant improve-ment is reached in 5-BrU, and notoriously in the uracilmolecule with a reduction of 33% error over one scalingequation (rms of 9.1 vs 13.7).
Again a new improvement can be carried out on thecomputed wavenumbers if specific scale factor proceduresare used. The scaled values obtained using this fourth scalingprocedure are listed in the 10th–14th columns of Table 4 andthe rms errors in the last column of Table 5. This scalingleads to the lowest errors. Individual scaling is however
more complex and time consuming, and thus this approachis less recommended to be used, except for special cases.
An overall conclusion is that the increase of the basisset has a small effect and the calculations with B3-basedmethods and with the 6-31GŁŁ basis set appear in generalto be useful with the best cost effective relationships, whenthey are combined with an adequate scaling procedure.
OTHER MOLECULAR PROPERTIES
The values of the Mulliken charge obtained with thetheoretical methods used are listed in Table 6. Close valuesare obtained between HF and MP2 ab initio methods, butthey differ considerably with the DFT results. Appreciabledifferences in values are also noted among the BLYP, B3P86and B3LYP methods.
Several thermodynamic parameters were also calculatedand collected in Tables 7 and 8. For an accurate predictionin determining the ZPVE (zero-point vibrational energies),the enthaply Hvib.�T�, and the entropy Svib.�T�, scale factorshas been reported74 for the 6-31GŁ basis set. Dipole momentshave been reported75 only for different excited states of5-BrU.
A replacement of the H11 atom by fluorine in 5-FU3
produces a slightly higher change of the local charge dis-tribution than the replacement by bromine atom. However,the calculated dipole moment by HF and MP2 in 5-FU3 islower than in 5-BrU, while by B3P86 and B3LYP it is slightlyhigher. Compared to uracil, the dipole moment in 5-BrU isvery much lower, e.g. at the B3LYP/6-311CG(2d,p) level is4.518 D in uracil and 4.028 D in 5-BrU. It is noted that with the6-31G** basis set, the value is overestimated by MP2 (4.57 D)and slightly underestimated by DFT methods. The increaseof the basis set remarkably improves the calculated values,which are more in accordance with the experimental ones,76
Table 6. Total atomic charges on the atoms
HF B3LYP
Atoms 6–31GŁŁ 6–31CCGŁŁMP2/
6–31GŁŁB3P86/6–31GŁŁ 6–31GŁŁ
6–311 C G(2d,p)
6–311CCG(3df,pd)
aug-cc-pVTZ
B3PW91/6–31GŁŁ
MPW1PW91/6–31GŁŁ
N1 �0.785 �0.628 �0.786 �0.613 �0.568 �0.409 �0.981 0.015 �0.615 �0.628C2 1.025 0.913 1.038 0.781 0.750 0.659 1.391 0.147 0.787 0.804N3 �0.836 �0.738 �0.843 �0.654 �0.606 �0.492 �0.964 0.186 �0.658 �0.672C4 0.853 0.281 0.862 0.639 0.611 0.268 1.045 0.391 0.646 0.662C5 �0.245 0.264 �0.242 �0.105 �0.061 0.482 0.004 0.146 �0.118 �0.134C6 0.257 �0.104 0.260 0.144 0.152 �0.329 0.369 �0.373 0.149 0.157H7 0.349 0.401 0.355 0.321 0.296 0.282 0.304 0.044 0.320 0.322O8 �0.589 �0.598 �0.605 �0.495 �0.487 �0.482 �0.783 �0.634 �0.495 �0.501H9 0.354 0.418 0.360 0.323 0.298 0.285 0.314 0.080 0.322 0.325O10 �0.554 �0.518 �0.578 �0.476 �0.471 �0.444 �0.766 �0.633 �0.475 �0.480Br11 �0.046 0.101 �0.043 �0.052 �0.068 0.036 �0.088 0.072 �0.049 �0.046H12 0.217 0.208 0.224 0.187 0.155 0.144 0.155 0.561 0.187 0.192
Copyright 2007 John Wiley & Sons, Ltd. J. Raman Spectrosc. 2007; 38: 1227–1241DOI: 10.1002/jrs
1240 V. K. Rastogi et al.
Table 7. Theoretical computed total energies (A.U.),zero-point vibrational energies (Kcal mol�1) and dipolemoments (Debyes) in 5-BrU
MethodsTotal energy
(RH)Zero-point
energyDipole
moments
HF/6–31GŁŁ �2981.77893 52.698 4.278HF/6–31CCGŁŁ �2981.81314 52.862 4.436MP2/6–31GŁŁ �2981.77257 – 4.574B3P86/6–31GŁŁ �2987.75006 48.836 3.907B3LYP/6–31GŁŁ �2985.92184 48.468 3.868B3LYP/6–311 CG(2d,p)
�2988.48631 48.095 4.028
B3LYP/6–311CCG(3df,pd)
�2988.51390 – 3.987
B3LYP/aug-cc-pVDZ �2988.43186 48.158 4.035B3LYP/aug-cc-pVTZ �2988.60290 – 3.978B3PW91/6–31GŁŁ �2985.75074 48.789 3.896MPW1PW91/6–31GŁŁ �2985.98067 49.204 3.917
4.1 š 0.01 D. The addition of diffuse functions increases thevalue of the dipole moment.
SUMMARY AND CONCLUSIONS
The calculated structure for 5-BrU appears coherent incomparison with the experimental values reported for uracil,with all the values well within the uncertainties of themethods used. The geometries and values of the propertiespresented here appear to be the most accurate to date.
The structural and characteristics of the first hydrationshell were analyzed through realistic molecular models. Thethree stable complexes determined with one water moleculeare the ones in which the oxygen atom of water accepts theacidic NH proton while donating a proton to the carbonyloxygen. The presence of water molecule increases harmonicvibration intensities of 5-BrU, and both C O and N–Hstretching wavenumbers appear at lower values.
The accuracy of different ab initio methods in predictingthe spectra was compared. To improve the calculatedwavenumbers, three procedures were used. The scalingequation procedure gives rise to a slight improvement inthe predicted wavenumbers, when a single overall scalefactor is used. With the use of two scaling equations asignificantly better accuracy is obtained for the predictedstretching wavenumbers. Use of scale factors transferredfrom uracil molecule permits us to make an a priori predictionof the IR and Raman bands of 5-BrU of sufficient quality toconfirm many of the previously assigned fundamental modesand to suggest several alterations. After proper scaling thecomputed wavenumbers were in good agreement with theobserved wavenumbers, except in a few cases. However,the computed intensities show marked deviations form theobserved values.
B3-based DFT procedures with 6-31GŁŁ basis set pro-vide a very cost-effective means of determining harmonicwavenumbers. They show better results than HF-and MP2-based procedures.
The bromine atom at position 5 exhibit smaller inductiveeffect than the fluorine atom, producing a small distortion ofthe electrostatic potential around the ring and a reduction ofthe molecular dipole moment.
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ParametersHF/
6–31CCGŁŁMP2/
6–31GŁŁB3LYP/
6–311CCG(3df,pd)B3LYP/
aug-cc-pVTZB3PW91/6–31GŁŁ
MPW1PW91/6–31GŁŁ
Rotational constants 3.036 2.963 2.986 2.985 2.979 2.993– 0.655 0.645 0.646 0.645 0.648 0.651– 0.538 0.529 0.531 0.530 0.532 0.535
Entropy: Total 86.53 – 89.07a 88.85b 88.64 88.46Translational 41.63 – 41.63a 41.63b 41.63 41.63Rotational 30.09 – 30.14a 30.16b 30.13 30.11Vibrational 14.81 – 17.30a 17.06b 16.89 16.71
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