Accepted Manuscript Spectroscopic properties, NLO, HOMO-LUMO and NBO of maltol V. KrishnaKumar, D. Barathi, R. Mathammal, J. Balamani, N. Jayamani PII: DOI: Reference:
S1386-1425(13)01225-0 http://dx.doi.org/10.1016/j.saa.2013.10.068 SAA 11197
To appear in:
Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy
Received Date: Revised Date: Accepted Date:
6 February 2013 9 October 2013 17 October 2013
Please cite this article as: V. KrishnaKumar, D. Barathi, R. Mathammal, J. Balamani, N. Jayamani, Spectroscopic properties, NLO, HOMO-LUMO and NBO of maltol, Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy (2013), doi: http://dx.doi.org/10.1016/j.saa.2013.10.068
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Spectroscopic properties, NLO, HOMO-LUMO and NBO of maltol b
c
d
V. KrishnaKumarª*, D.Barathi , R.Mathammal , J.Balamani , N.Jayamani
e
a
Department of Physics, Periyar University, Salem-636011, India
b
Department of Physics, N.K.R. Govt. Arts College (W),Namakkal-637001, India
c
Department of Physics, Sri Sarada College for Women (Autonomous) Salem-636016, India
d
Department of Chemistry, Chikkanna Govt. Arts College, Tiruppur-641602, India
e
Department of Physics, Vivekananda College of Arts and Sciences, Tiruchengode for Women
(Autonomous) Namakkal-637205, India
Abstract Maltol (3-hydroxy-2-methyl-4pyrone) is widely known as metal ions chelator with many practical applications in catalysis, medicine and food chemistry. The FTIR and FT-Raman spectra of maltol have been recorded in the region 4000– 400 and 4000–50 cm−1, respectively. The conformational analysis, optimized geometry, frequency and intensity of the vibrational bands of maltol were obtained by the density functional theory (DFT) with complete relaxation in the potential energy surface using 6-31G* basis set. The observed and the calculated frequencies are found to be in good agreement. The 1H and and 1H and
13
C NMR spectra have been recorded
13
C nuclear magnetic resonance chemical shifts of the molecule were
also calculated using the gauge independent atomic orbital (GIAO) method and their respective linear correlations were obtained. The electronic properties HOMO and LUMO energies were measured. Thermodynamic properties (heat capacity, entropy and enthalpy) of the title compound were calculated. The Mulliken charges, the values of electric dipole moment (µ) of the molecule were computed using DFT calculations. The first order hyperpolarizability (βº) and related properties (β, αo and ∆α) of both are calculated using B3LYP/6-31G* method on the finite-field approach. The calculated first hyperpolarizability shows that the molecules are an attractive 1
molecule for future applications in non-linear optics. The intramolecular contacts have been interpreted using Natural Bond Orbital (NBO). Keywords: Maltol; DFT; FTIR; FT-Raman; Vibrational spectroscopy; HOMO and LUMO; Hyperpolarizability. 1. Introduction 3-Hydroxy-2-methyl-4pyrone (maltol, Hma) is a natural compound. It was found in many food products. Maltol is also used as a food additive due to its flavour [1] and antioxidant properties [2]. In coordination chemistry, maltol is known as a potent monoanionic, bidendate metal chelator. Various complexes of maltol have been extensively studied because of their catalytic and biochemical properties. For example, the complex of maltol with oxovanadium(IV) ion is known as an orally active insulin mimetic [3], ferric tri-maltol enables effective iron delivery with low side effects in the iron deficiency anaemia [4], aluminium complex exhibits a strong neurological activity [5], bismuth(III)–maltol complex acts as an antibacterial agent [6], complexes with indium(III) and gallium(III) [7] are suggested as new radiopharmaceuticals. Computational
studies
seem
to
constitute
a
valuable
tool
in
pharmaceutical solid-state research. The theory has to be supported by different spectroscopic and diffraction methods. Among them, vibrational spectroscopy is one of the most commonly used for the molecular structure determination. A standard protocol that involves experimental-theoretical technique is based on a comparison of the experimental vibrational spectra with the harmonic frequencies calculated ab initio and scaled by an appropriate factor [8]. The aim of this work is to study vibrational (FT-Raman,FT-IR and NMR) spectra and investigated the optimized geometry, atomic charges and vibrational spectra for the title molecules.
2
2. Experimental The crystalline sample of maltol was obtained from Lancaster Chemical Company, UK with a stated purity of 99% and was used as such without further purification. Fourier transform infrared spectra of the title compound were measured at the room temperature in the region 4000–400 cm−1 using a BRUKER IFS-66 V FTIR spectrometer at a resolution of ±1 cm−1 equipped with a MCT detector, a KBr beam splitter and globar source. The FT-Raman spectra of title molecule were recorded on a BRUKER IFS – 66 V model interferometer equipped with FRA-106 FT-Raman accessory in the 4000–50 cm−1 Stokes region using the 1064 nm line of a Nd:YAG laser for excitation operating at 200 mW power. The reported wave numbers were believed to be accurate within ±1 cm−1. 1
H and
13
C nuclear magnetic resonance (NMR) (400 MHz; CDCl3)
spectra were recorded on a Bruker HC400 instrument. Chemical shifts for protons are reported in parts per million scales (d scale) downfield from tetramethylsilane. 3. Quantum chemical calculations The quantum chemical calculations have been performed by using B3 [9] exchange functional combined with the LYP [10] correlation function resulting in the B3LYP density functional method at 6-31G* basis set. All the computations were performed using Gaussian 03W program [11] and Gauss-View program package [12]. The most optimized structural parameters, energy, and vibrational frequencies of the molecule have been evaluated for the calculations of vibrational frequencies by assuming Cs point group symmetry. At the optimized geometry for the title molecule no imaginary frequency modes were obtained, therefore there is a true minimum on the potential energy surface was found. As a result, the unscaled calculated frequencies, infrared intensities and Raman activities are obtained. In
3
order to fit the theoretical wavenumbers to the experimental, the scaling factors have been introduced by using a least square optimization of the computed to the experimental data. The scaling of the force field was performed according to the SQMFF procedure [13], the Cartesian representation of the force constants were transferred to a nonredundant set of local symmetry coordinates, chosen in accordance to the recommendations of Pulay et al. [14]. The descriptions of the predicted frequencies during the scaling process were followed by the potential energy distribution (PED) matrix. The characterization of the normal modes using potential energy distribution (PED) was done with the MOLVIB – 7.0 programs written by Sundius [15, 16]. Furthermore, in order to show nonlinear optic (NLO) activity of title molecule, the dipole moment, linear polarizability and first hyperpolarizability were obtained. The prediction of Raman intensities The Raman activity (Si) calculated by Gaussian 03 and adjusted during scaling procedure with MOLVIB were converted to relative Raman intensity (Ii) using the following relation from the basic theory of Raman scattering [17, 18]
where o is the exciting wavenumber (in cm-1 units), i the vibrational wavenumber of the ith normal mode, h, c, and k are the universal constants and f is a suitably chosen common normalization factor for all peak intensities. For the plots of simulated IR and Raman spectra, pure Lorentzian band shapes were used with a bandwidth (FWHM) of 10 cm−1. The theoretically simulated spectra are more regular
4
than the experimental ones, because many vibrations presenting in condensed phase leads to strong perturbation of infrared intensities of many other modes. 4. Results and discussion 4.1. Molecular geometry In order to find the most optimized geometry, the energy calculations were carried out for maltol (3-hydroxy-2-methyl-4pyrone), using B3LYP/6-31G* basis set for two different conformers and are shown in Fig. 1(a)&1(b) along with calculated total energies. The conformer shown in Fig. 1(b) is found to have a minimum energy and its structural parameters (bond length, bond angle) by B3LYP with 6-31G* basis set were shown in Table 1. The molecular structure of best conformer is shown in Fig 2. In maltol, the hydrogen bonded O–H bond length is 0.9866A and coincides with the reported hydrogen bonded O–H distance (0.98) of 2quinoxaline carboxylic acid [19]. The C2–C7 bond length is longer than other C-C bondlengths, due to the pulling of sidechain in the position of C2 in maltol. Thereby decreases in force constant and increase in bond length in that place. According to quantum topological analysis performed the intramolecular hydrogen bond OH…O=C in 3-hydroxy-2-methyl-4pyrone (maltol) is weak and has ionic nature. X-Ray analysis (XRA) of a large number of crystal compounds with intramolecular hydrogen bonds has shown that in many of them in the proximity of the hydrogen atom at the distance less than the sum of the van der Waals radii (vdW) there is one more electronodonor heteroatom (O, N, S) [20]. The authors classified such mutual arrangement of atoms as bifurcated (three-centered) hydrogen bonds (BHB). From the data of quantum chemical calculations and XRA, nonvalent distances between the hydrogen atom of the hydroxyl group and carbonyl
5
oxygen in these dimers is less than the sum of the vdW radii (~2.7 Aº [20]). From the title compound, the intramolecular hydrogen bond O11–H12…O13=C4 makes to produce the distance between O13 and H12 is 1.99344 Aº. 4.2. Structural properties The title molecules possessing CS point group symmetry. The 39 fundamental modes of vibrations of 3-hydroxy-2-methyl-4pyrone (maltol) are distributed into the irreducible representations as 27 in-plane vibrations of A' species and 12 out of plane vibrations of A" species, i.e., Г vib = 27A' + 12A", All vibrations are active in both the Raman scattering and infrared absorption. In Raman spectrum the A' vibrations give rise to polarized bands while the A" ones to depolarized bands. The internal coordinates and local symmetry coordinates are tabulated in Supplementary tables 1s&2s. For visual comparison, the observed and calculated (simulated) FTIR and FT-Raman spectra are presented in Figs. 3&4. Comparison between the calculated and observed vibrational spectra helps us to understand the observed spectral features. The results of our vibrational analysis, viz., calculated unscaled vibrational frequencies and IR intensities, SQM frequencies, potential energy distributions (PED) and assignment of the fundamentals, for the title compound are collected in Table 2. 4.2.1. Carbon–hydrogen vibration The heteroaromatic structure showed the presence of C-H stretching vibrations in the region 3100–3000 cm−1, which was the characteristic region for ready identification of C-H stretching vibrations [21]. Hence in the present investigation the calculated frequencies which lie in the region 3098–3082 cm−1 were assigned to the C-H stretching vibrations of the title compound as shown in Table 2 and their experimental counterpart appear in the region 3100–3080 cm−1 of the
6
Raman spectra. Thus there was a good agreement between experimental and calculated frequencies. The in-plane aromatic C–H deformation vibrations occur in the region 1300–1000 cm−1 [22]. The C–H in-plane bending vibration computed at 1211 and 1379 cm−1, while the experimental observation at 1225 and 1371 cm−1 in FT-IR shows excellent agreement with theoretical values. C–H out-of-plane bending vibrations are strongly coupled vibrations and occur in the region 900–667 cm−1 [23]. The calculated frequency at 825 and 936 cm−1 is assigned for the C–H out-of-plane bending. In general the aromatic C–H vibrations (viz, stretching, in-plane and out of plane vibrations) calculated theoretically are in good agreement with experimentally accepted values. 4.2.2. Methyl group vibrations For the assignments of CH3 group frequencies, basically nine fundamentals could be associated to each CH3 group [19] namely CH3ss – symmetric stretch; CH3ips – in-plane stretch (i.e. in-plane hydrogen stretching modes); CH3ipb – in-plane bending (i.e. in-plane hydrogen deformation modes); CH3sb – symmetric bending; CH3ipr – in-plane rocking; CH3opr – out-of-plane rocking; tCH3 –twisting modes. In addition to that, CH3ops – out-of-plane-stretch and CH3opb – out-of-plane bending modes of CH3 group would be expected to be depolarized for A" symmetry species. The CH3ss frequencies were established at 2920 cm−1 in IR spectrum; the CH3ips were assigned at 3063 cm−1 in IR spectrum of the title compound maltol. We observed the symmetrical methyl deformation modes CH3sb at 1464 cm−1 in IR spectra, in-plane methyl deformation modes CH3ipb at 1374 cm−1 in IR. The bands at 2930 cm−1 in Raman and 1465 cm−1 in IR were attributed to CH3ops and CH3opb respectively. The methyl deformation modes were mainly coupled with in-plane
7
bending vibrations. The in-plane and out-of-plane rocking vibrations of the title compound maltol had been identified at 1080 cm−1 in IR and at 1032 cm−1 in the IR spectrum. The tCH3 (methyl twisting mode) vibrations were assigned within the characteristic region 100 cm−1 and is reported in Table 2. 4.2.3. Oxygen–hydrogen vibrations The O-H stretching vibration is normally observed at about 3300 cm−1. The O-H in-plane bending vibration is observed in the region 1440–1260 cm−1 [24]. In maltol, the bands appeared at 3261 cm−1 are assigned to O-H stretching modes of vibrations. The in-plane bending vibrations of hydroxy group have been identified at 1280 cm−1. Due to intramolecular bonding, the out-of-plane bending vibration of hydroxy groups is shifted at 565 cm−1. 4.2.4. Carbonyl vibrations Susi and Ard [25] identified the C= O stretching mode at 1645 and 1614 cm−1, respectively, in 5-iodo uracil and 5-methyl uracil. On referring to the above findings and on the basis of the results of the normal coordinate analysis, the IR bands appeared at 1650 cm−1 have been designated to C= O stretching modes for maltol in this study. 4.2.5. Ring vibrations Usually an in-plane deformation vibration is at higher frequencies than the out-of-plane vibration [26]. In the present study, the bands observed at 853, 520 and 480 cm−1 in IR and Raman respectively are attributed to ring in-plane bending modes. The ring out-of-plane bending mode frequencies are established at 497, 180 and 115 cm−1 in Raman spectra as shown in Table 2. 4.2.6. Carbon–carbon vibrations
8
The ring carbon–carbon stretching vibrations investigation occurs in the region in 1625–1430cm−1 [27]. In the present, the bands of C–C stretching vibrations in benzene ring appear at 1656, 1565, 1400, 1029 and 690 cm−1 in FTIR are also consistent with the calculated one. 5. NLO properties The second-order polarizability or first order hyperpolarizability β, dipole moment µ and polarizability α was calculated using B3LYP/6-31G* basis set on the basis of the finite-field approach. The complete equations for calculating the magnitude of total static dipole moment µ, the mean polarizability αo, the anisotropy of the polarizability ∆α and the mean first hyperpolarizability β, using the x, y, z components from Gaussian 03W output is as follow µ= (µx2+µy2+µz2) ½ αo =1/3 (αxx+ αyy+ αzz) ∆α=½{[ ( αxx- αyy)2+( αxx- αzz)2+( αzz- αyy)2]}½ βtot = (βx2+βy2+βz2)1/2 βtot = {(βxxx+βxyy+βxzz)2+(βyyy+βyzz+βyxx)2+(βzzz+βzxx+βzyy)2}1/2 Since the values of the polarizabilities (α) and hyperpolarizability (β) of Gaussian 03 output are reported in atomic units (a.u.), the calculated values have been converted into electrostatic units (esu) (α: 1 a.u. = 0.1482×10−12 esu, β: 1 a.u. = 8.6393×10−33 esu). The total molecular dipole moment and mean first hyperpolarizability of maltol is 3.3637 Debye and 0.851×10−30 esu respectively shown in Table 3. The mean polarizability of maltol is 3.78651×10−24 esu. 6. Mulliken population analysis The total atomic charges of maltol and 4-pyrone obtained by Mulliken population analysis [28, 29] by B3LYP method with 6-31G* basis set were 9
listed in Table 4. The Mulliken atomic charges are plotted in Fig. 5 for maltol and 4pyrone. The charge distribution on the molecule has an important influence on the vibrational spectra. In 4-pyrone, there is a decrease of C2 charge due to attachment of one side electronegative O1atom [40]. This C2 charge again decreases the C3 and it becomes negative. But in maltol, C3 is positive due to the attachment of hydroxyl group. For maltol and 4-pyrone, all the hydrogen atoms have a net positive charge and all the electronegative oxygen atoms have negative charges. For maltol, H12 atoms near position to O11 atom accommodate higher positive charge than the other hydrogen atoms. This is due to the presence of electronegative oxygen atom, the hydrogen atom attract the positive charge from the oxygen atom. The maximum atomic charge is obtained for C4 when compared to other atoms. This is due to the negatively charged oxygen (O13) atom in C=O [30]. The charge on the acceptor oxygen atom (O11) in the hydrogen bond becomes more negative and the charge of the donated hydrogen (H12) becomes more positive. 7. HOMO and LUMO analysis Many organic molecules that containing conjugated π electrons are characterized hyperpolarizabilities and were analyzed by means of vibrational spectroscopy [31, 32]. In most cases, even in the absence of inversion symmetry, the strongest bands in the Raman spectrum are weak in the IR spectrum and vice versa. But the intramolecular charge transfer from the donor to accepter group through a single-double bond conjugated path can induce large variations of both the molecular dipole moment and the molecular polarizability, making IR and Raman activity strong at the same time. The experimental spectroscopic behavior described above is well accounted for by ab initio calculations in π conjugated systems that predict exceptionally large Raman and infrared intensities for the same normal
10
modes [31]. It is also observed in our title molecule the bands in FTIR spectrum have their counterparts in Raman shows that the relative intensities in IR and Raman spectra are comparable resulting from the electron cloud movement through π conjugated frame work from electron donor to electron acceptor groups. The electron 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 LUMO: of π nature is delocalized over the whole keto group. By contrast, the filled orbital (HOMO) is mostly located over oxygen (12 and 13) atoms which is a lone pair orbital and is also slightly located over methyl and hydroxyl groups; consequently the HOMO→LUMO transition implies an electron density transfer to aromatic part of π conjugated system from methyl and hydroxyl group and is seen in fig.6. Moreover, these orbital significantly overlap in their position for O13. The HOMO-LUMO energy gap of maltol was calculated at the B3LYP/6-31* level and are shown in Table 5 and the energy gap reflect the chemical activity of the molecule. LUMO as an electron acceptor represents the ability to obtain an electron, HOMO represents the ability to donate an electron. HOMO energy = −6.14977eV LUMO energy = −1.19730eV HOMO–LUMO energy gap = -4.95247eV The HOMO and LUMO energy gap explains the eventual charge transfer interactions taking place within the molecule. The electronic properties of the molecules are calculated from the total energies and the Koopmans’ theorem. The ionization potential is determined from IP = –EHOMO while the electron affinity is computed from EA=–ELUMO, respectively. The
11
other important quantities such as electronegativity (χ), hardness (η), softness (ζ), and electrophilicity index (ψ) were deduced from ionization potential and electron affinity values. Electro negativity (χ) µ= –χ= – Chemical hardness (η) = Softness (ζ) = Electrophilicity index (ψ) = The values of electro negativity, chemical hardness, softness, and electrophilicity index are 3.6735, 2.4762, 0.20192 and 2.7248 eV in DMSO, respectively, for the title molecule. 8. Other molecular properties The calculated several thermodynamic parameters have been presented as shown in Table 6. The zero-point vibrational energies (ZPVE), rotational constants, and entrophy were calculated by B3LYP/6-31G* basis set. The relations among energetic, structural and reactivity characteristics of the molecules may be obtained from the thermodynamic parameters of the compounds. The dipole moment in a molecule is another important electronic property. For example, the bigger the dipole moment, the stronger will be the intermolecular interactions. The calculated dipole moment value for the molecule is 3.3637D also given in Table 6.
9. NMR spectra The molecular structure of the title compounds was optimized. Then, gauge – inpendent atomic orbital (GIAO) [33, 34] 12
13
CNMR chemical shifts
calculations of the title compounds had been carried out using B3LYP/functional with 6-31G* basis set. Experimental and theoretical chemical shifts of maltol in
13
C NMR
and 1H NMR spectra were recorded and the obtained data are presented in Table 7. The coefficient of correlations between calculated and experimental data of
13
C NMR
and 1H NMR spectra were determined as 0.87886 and 0.99638for maltol. The correlations of
13
C NMR spectra and 1H NMR spectra are presented in Fig. 7 for
maltol. The agreement between the experimental and calculated data was satisfactory [35, 36]. In the present study, the
13
C NMR chemical shifts in the ring for
maltol are >100 ppm, as they would be expected. The Oxygen atom more ectronegative property polarizes the electron distribution in its bond to adjacent carbon atom and decreases the chemical shifts value. So, the C7 atom in maltol which bonded to methyl showed the determined
13
C NMR shifts very low. The H12
atom in hydroxyl group has very high value due to electron withdrawing oxygen atom. On the basis of
13
C NMR spectra, in which the ring carbon (C4) attached to
the O atom have bigger chemical shift than the other carbon atoms. The computed chemical shift values of 172.04 ppm (B3LYP) for carbon atom (C1) are in good agreement with the measured values (173.22 ppm). 10. Natural bond orbital (NBO) analysis NBO analysis provides the most accurate possible ‘natural Lewis structure picture of ψ, 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 inter molecular interactions. The second-order Fock matrix was carried out to evaluate the donor– acceptor interactions in the NBO analysis [37]. The interactions result is a loss of
13
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
where qi is the donor orbital occupancy, εi and εj are 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 binding 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 microdisturbance theory are reported [37, 38]. 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 [39]. Delocalization of electron density between occupied Lewis-type (bond or lone pair) NBO orbitals and formally unoccupied (anti-bond or Rydberg) 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* level in order to elucidate the intramolecular, rehybridization and delocalization of electron density within the molecule. The strong intramolecular hyper conjugation interaction of the σ and π electrons of C–C and C–O to the anti C–C, C–H, C–O and O–H bond leads to stabilization of some part of the ring as evident from Table 8. The intramolecular interaction are formed by the orbital overlap between π*C4 - O13→ π* C2 - C3 have 14
the highest E (2) value around 131.53 kcal/mol which results intramolecular charge transfer (ICT) causing stabilization of the system [40]. The other significant interactions giving stronger stabilization to the structure are π C2 - C3→ π* C4 – O13, π C5 – C6→ π* C4 – O13, lone pair LP (2) O1→ π* C2 – C3, LP (2) O1→ π* C5 – C6, LP (2) O11→ π* C2 – C3. 11. Conclusion A complete vibrational analysis of 3-hydroxy-2-methyl-4pyrone (maltol) were performed by DFT-B3LYP method with 6-31G* basis set. The influences of carbon–oxygen bond, hydroxy group and carbonyl ring to the vibrational frequencies of the title compound were discussed. Mulliken atomic charges show that the substitution of methyl and hydroxyl group leads to redistribution of electron density. The HOMO-LUMO energy gap calculated at the B3LYP/6-31* level reveals the chemical activity of the molecule. The observed and scaled wavenumber values of O–H fundamental are equal, due to the fact that the presences of the intramolecular hydrogen bonds in the solid state. The calculated first order hyperpolarizability of title molecule was about 4.3 times greater than that of urea. The above results show that maltol was the best material for NLO applications. An NBO result reflects the charge transfer mainly due to OH and CO group of maltol molecule. References [1] Y. Kato, Food Sci. Technol. Res. 9 (2003) 264. [2] K. Yanagimoto, H. Ochi, K.G. Lee, T. Shibamoto, J. Agric. Food Chem. 52 (2004) 592. [3] P. Caravan, L. Gelmini, N. Glover, F.G. Herring, H. Li, J.H. McNeill, S.J. Rettig, I.A. Setyawati, E. Shuter, Y. Sun, A.S. Tracey, V.G. Yuen, C. Orvig,
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[29] R.S. Mulliken, J. Chem. Phys. 23 (1955) 1833–1840. [30] M. Arivazhagan, D. Anitha Rexalin, Spectrochimica Acta Part A 83 (2011) 553– 560. [31] Y. Ataly, D. Avci, A. BaS, o˘glu, Struct. Chem. 19 (2008) 239. [32]T. Vijayakumar, I. HubertJoe, C.P.R.Nair, V.S. Jayakumar, Chem. Phys. 343 (2008) 83. [33] R. Ditchfield, J. Chem. Phys. 56 (1972) 5688. [34]K. Wolinski, J.F. Hilton, P. Pulay, J. Am. Chem. Soc. 112 (1990) 8251. [35] H.O. Kalinowski, S. Berger, S. Barun, C-13 NMR Spectroscopy, John Wiley & Sons, Chichester, 1988. [36]K. Pihlaja, E. Kleinpeter (Eds.), Carbon-13 Chemical Shifts in Structural and Stereo Chemical Analysis, VCH Publishers, Deerfield Beach, FL, 1994. [37] C. James, A. Amal Raj, R. Reghunathan, I.H. Joe, V.S. Jayakumar, J. Raman Spectrosc. 37 (2006) 1381–1392. [38] J.N. Liu, Z.R. Chen, S.F. Yuan, J. Zhejiang Univ. Sci. B6 (2005) 584–591. [39] A. Nataraj, V. Balachandran, T. Karthick, M. Karabacak, A. Atac, Journal of Molecular Structure 1027 (2012) 1–14. [40] M. Govindarajan, M. Karabacak, S. Periandy, D. Tanuja, Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy 97 (2012) 231–245.
Table 1: Structural parameters calculated for 3-hydroxy-2-methyl-4pyrone obtained by B3LYP/6-31G* method. Bond length
Value (A◦)
Bond angle
Value (◦)
C2- O1
1.3757
C3- C2-O1
119.7234
C3- C2
1.3571
C4- C3-C2
122.0745
C4 -C3
1.4675
C5- C4-C3
114.5295
C5 -C4
1.4468
C5- C4-C3
119.5182
18
C6 -C5
1.3529
C7- C2- C3
126.9524
C7 -C2
1.4908
H8- C7-C2
109.64
H8 -C7
1.0916
H9- C7-C2
110.9868
H9 -C7
1.0969
H10- C7-C2
110.9868
H10- C7
1.0969
O11- C3-C4
114.9368
O11 -C3
1.3511
H12- O11-C3
102.9361
H12 -O11
0.9866
O13- C4-C5
126.9534
O13 -C4
1.2412
H14- C5-C6
120.5817
H14 -C5
1.0839
H15-C6-O1
111.1805
H15 -C6
1.0839 −1
Table 2: Calculated wavenumbers (cm ) of maltol by B3LYP/6-31G* method and vibrational assignment based on potential energy distribution (PED)
No
-
Observed
Calculated frequency(cm ¹) with
frequencies
B3LYP/6-31G*
Characterisation of
-1
(cm ) Symmetry
IR
normal modes with Raman
Unscaled
Scaled
species
1
A'
2
A'
3
A'
4
A'
5
A''
6
A'
7
A'
8
A'
9
A'
3261
IR
Raman
intensity
activity
PED (%)
3485
3261
96.681
64.472
OH(100)
3100
3251
3098
4.796
148.48
CH(99)
3080
3234
3082
1.277
79.729
CH(99)
3168
3063
3.524
58.551
CH3ips(97)
3102
2930
12.843
112.98
CH3ops(99)
2920
3051
2920
18.802
213.40
CH3ss(80),CH3ips(20)
1656
1737
1670
61.620
59.921
CC(75)
1650
1716
1649
351.167
45.042
C=O(59),CC(25)
1565
1634
1573
0.673
20.265
CC(55),bCH(16),
3063 2930
C=O(14),CO(10) 10
A"
1465
1515
1465
9.315
17.035
bCH3op(80),tCH3(14)
11
A'
1464
1507
1448
52.890
43.226
bCH3sb(34),CC(19), bCH3ip(15)
19
12
A'
1400
1486
1422
40.513
13.471
CC(22),bCH3ip(22), CO(15),bCH3sb(11), bCH(10)
13
A'
1394
1442
1387
1.931
7.596
bCH3ip(34), bCH3sb(34), CC(12)
14
A'
1371
1437
1379
49.204
3.453
bCH(48),CO(13), bCH3sb(11),bCOH(10)
15
A'
1280
1362
1286
219.835
13.102
bCOH(55),CO(12), CC(10)
16
A'
1260
1308
1269
60.832
2.624
CO(48),bring(21), bCH(11),CC(11)
17
A'
1225
1255
1211
83.577
0.675
bCH(30),CC(26), CO(19),bCOH(10), bCO(10)
18
A'
1201
1216
1180
95.295
0.705
CO(41),CC(23), bCH3ip(14)
19
A'
1080
1104
1079
5.329
7.195
bCH3ipr(30),bCH(21), CC(18),CO(14)
20
A"
21
A'
1032 1029
1076
1033
0.214
1.344
bCH3opr(57),tCH3(30)
1052
1019
4.218
12.675
CC(32),CO(27), bCH(18), bCO(10)
22
A"
23
A'
940 922
947
936
0.196
0.120
gCH(91)
938
924
35.103
0.188
CO(34),CC(22), bCH3ip(19)
24
A'
853
857
850
36.951
2.603
bring(68),CC(14),CO(1 2)
20
25
A"
820
836
825
46.504
2.620
gCH(67),gCO(23), tring(10)
26
A"
711
735
722
0.199
2.772
gCO(51),tring(38), gCH(10)
27
A'
690
697
673
2.616
17.050
CC(62),CO(25)
28
A"
565
657
573
93.148
3.996
tOH(74),gCO(12), tring(10)
29
A'
559
571
560
0.699
3.519
bCO(39)bCO(38), CC(13)
30
A'
31
A"
520 513
521
506
0.980
0.070
bring(52),CC(38)
514
507
3.745
6.888
gCO(45),tring(34), tCH3(10)
32
A"
497
513
494
11.194
1.808
tring(65),tCH3(13)
33
A'
480
492
481
1.206
0.928
bring(58),bCO(20)
34
A'
327
337
328
20.67
0.531
bCO(72),bring(10)
35
A"
306
312
303
0.160
0.426
gCO(31),tring(28), tCH3(24),gCH(16)
36
A'
215
275
234
2.162
1.126
bCOC
37
A"
180
193
183
4.551
1.275
tring(76),tCH3(12)
38
A"
115
132
124
0.020
0.112
tring(72),gCO(18)
39
A"
100
106
105
0.053
0.472
tCH3(100)
( 74)
Table 3: Calculated hyperpolarizability β, polarizability α of 3-hydroxy-2-methyl-4-pyrone. β
–30
Values(10
α
esu)
Values(10
–30
esu)
βxxx
55.582
αxx
64.855
βxxy
0.0000
αxy
0.0000
βxyy
-10.076
αyy
11.809
βyyy
0.0000
αyz
10.961
21
βxxz
-90.584
αzz
0.0000
βxyz
0.0000
αxz
48.603
βyyz
-3.9268
βxzz
11.927
βyzz
0.0000
βzzz
14.421
Table 4: Mulliken atomic charges of maltol and 4-pyrone at B3LYP with 6-31G (d) basis set. Atoms
Mulliken atomic charges maltol
4-pyrone
O1
-0.448705
-0.412392
C2
0.302266
0.112974
C3
0.232317
-0.214757
C4
0.435193
0.450130
C5
-0.221729
-0.214778
C6
0.115935
0.112990
C7(H7)
-0.517154
0.177039
H8
0.197358
0.163777
H9(O9)
0.168890
-0.515796
H10
0.183830
0.163776
O11(H11)
-0.652651
0.177038
H12
0.425462
O13
-0.559880
H14
0.163666
H15
0.175204
Table 5: HOMO – LUMO energy value calculated by B3LYP/6-31G* Parameters (eV)
maltol
HOMO
-6.14977
LUMO
-1.19730
HOMO -LUMO
-4.95247
Table 6: Theoretically computed energies (a.u), zero-point vibrational energies (kcal/mol), rotational constants (GHz), entropies (cal/mol-Kelvin) and dipole moment (Debye). Parameters
B3LYP 6-31G*
Total energy
-457.89900
22
Zero-point energy
71.14807
Rotational constant 2.39457 1.83972 1.04720 Entropy Total
86.617
Translational
40.408
Rotational
28.634
Vibrational
17.575
Dipole moment
3.3637
1
Table 7: Theoretical and experimental H NMR and
13
C NMR spectra of maltol (with respect to
TMS, all values in ppm) for B3LYP/6-31G* Atoms
maltol
Atoms
Exp
Cal
C2
149.54
149.02
C3
143.41
C4
maltol Exp
Cal
H8
2.377
2.880
149.63
H9
2.377
2.880
173.22
172.04
H10
2.377
2.426
C5
113.33
117.79
H12
7.400
6.544
C6
154.17
157.49
H14
6.441
6.299
C7
14.33
24.94
H15
7.721
7.867
Table8: Significant donor–acceptor interactions of maltol and their second order perturbation energies. Donor
Type
NBO(i)
of
Occupancy
Accepter
Type
NBO(j)
of
23
Occupancy
E(2)
a
(Kcal/mol)
E j- E b i
F(I,j) a.u.
c
bond O1 - C 2
O1 - C6
C2 - C3
C2 - C3
C2 - C7
C3 - C4
C3 -O11
C4 - C5
C4 -O13
C4 -O13
σ
σ
σ
π
σ
σ
σ
σ
σ
π
a.u.
bond 1.98763
1.99079
1.98227
1.80847
1.98299
1.97761
1.99171
1.97877
1.99501
1.97150
C2 - C3
σ*
0.03121
0.65
1.53
0.028
C3 -O11
σ*
0.07535
2.81
1.30
0.054
C6 - H15
σ*
0.01565
1.34
1.37
0.038
C7 - H8
σ*
0.00452
0.72
1.37
0.028
C2 - C7
σ*
0.01656
1.90
1.37
0.046
C5 - C6
σ*
0.01678
0.60
1.55
0.027
C5 - H14
σ*
0.01200
1.50
1.42
0.041
C2 - C7
σ*
0.01656
2.84
1.18
0.052
C3 - C4
σ*
0.07535
2.42
1.22
0.049
C3 - O11
σ*
0.01688
0.97
1.15
0.030
C4 - O13
σ*
0.01033
1.44
1.34
0.039
O11 -H12
σ*
0.03826
1.58
1.17
0.039
C4 - O13
π*
0.34155
20.54
0.30
0.073
C7 - H9
σ*
0.00955
2.51
0.73
0.040
C7 - H10
σ*
0.00955
2.51
0.73
0.040
O1 - C6
σ*
0.02143
2.93
1.02
0.049
C2 - C3
σ*
0.03121
3.17
1.26
0.057
C3 - C4
σ*
0.07535
3.06
1.11
0.053
C7 - H9
σ*
0.00955
0.55
1.09
0.022
C7 - H10
σ*
0.00955
0.55
1.09
0.022
C2 - C3
σ*
0.03121
3.21
1.28
0.057
C2 - C7
σ*
0.01656
4.06
1.09
0.060
C4 - C5
σ*
0.05261
0.86
1.16
0.028
C5 - H14
σ*
0.01565
2.24
1.14
0.045
O1 - C2
σ*
0.03274
2.56
1.24
0.051
C2 - C3
σ*
0.03121
1.63
1.52
0.045
C4 - C5
σ*
0.05261
1.27
1.40
0.038
C3 - C4
σ*
0.07535
0.86
1.14
0.028
C3 - O11
σ*
0.01688
2.52
1.07
0.046
C4 - O13
σ*
0.01033
1.18
1.26
0.034
C5 - C6
σ*
0.01678
2.03
1.29
0.046
C5 - H14
σ*
0.01200
0.85
1.16
0.028
C6 - H15
σ*
0.01565
3.03
1.14
0.053
C2 - C3
σ*
0.03121
1.38
1.64
0.043
C3 - C4
σ*
0.07535
0.98
1.48
0.035
C4 - C5
σ*
0.05261
1.75
1.52
0.047
C5 - C6
σ*
0.01678
0.73
1.63
0.031
C2 - C3
π*
0.26297
6.01
0.38
0.046
C5 - C6
π*
0.19629
5.47
0.37
0.042
24
C5 - C6
C5 - C6
C5 -H14
C6 -H15
σ
π σ
σ
1.98826
1.84150
1.97432
1.98118
C4 - C5
σ*
0.05261
1.65
1.25
0.041
C4 - O13
σ*
0.01033
3.34
1.33
0.060
C5 - H14
σ*
0.01200
1.46
1.23
0.038
C6 - H15
σ*
0.01565
1.51
1.22
0.038
C4 - O13
π*
0.34155
23.10
0.31
0.079
C5 - C6
π*
0.19629
2.21
0.31
0.024
O1 - C6
σ*
0.02143
6.65
0.90
0.069
C3 - C4
σ*
0.07535
3.03
0.99
0.050
C4 - C5
σ*
0.05261
0.53
1.03
0.021
C5 - C6
σ*
0.01678
1.40
1.14
0.036
O1 - C2
σ*
0.03274
4.40
0.90
0.056
C4 - C5
σ*
0.05261
4.02
1.06
0.059
C5 - C6
σ*
0.01678
1.35
1.17
0.036
C7 – H8
σ
1.98172
O1 - C2
σ*
0.03274
6.09
0.84
0.064
C7 - H9
σ
1.97812
C2 - C3
σ*
0.03121
2.22
1.12
0.045
C2 - C3
π*
0.26297
3.43
0.54
0.041
C2 - C3
σ*
0.03121
2.22
1.12
0.045
C2 - C3
π*
0.26297
3.43
0.54
0.041
C2 - C3
σ*
0.03121
6.84
1.32
0.085
C3 - C4
σ*
0.07535
0.68
1.17
0.026
C2 - C3
σ*
0.03121
5.68
1.17
0.073
C2 - C7
σ*
0.01656
0.98
0.98
0.028
C3 - O11
σ*
0.01688
0.53
0.94
0.020
C5 - C6
σ*
0.01678
5.96
1.17
0.075
C6 – H15
σ*
0.01565
1.61
1.01
0.036
C2 - C3
π*
0.26297
26.59
0.38
0.090
C5 - C6
π*
0.01200
33.14
0.37
0.101
C7 -H10
O11 -H12
σ σ
LP(1)O1
1.97812
1.98465
1.96335
LP(2)O1
1.71586
LP(1)O11
1.97747
C3 - C4
σ*
0.03121
5.50
1.05
0.069
LP(2)O11
1.85730
C2 - C3
π*
0.26297
34.91
0.34
0.100
LP(1)O13
1.97724
C3 - C4
σ*
0.07535
2.78
1.13
0.051
C4 - C5
σ*
0.05261
1.59
1.16
0.039
O11 - H12
σ*
0.03826
1.15
1.08
0.032
C3 - C4
σ*
0.07535
17.44
0.71
0.101
C4 - C5
σ*
0.05261
18.78
0.74
0.108
O11 - H12
σ*
0.03826
6.90
0.66
0.062
C2 - C3
π*
0.26297
131.53
0.02
0.079
LP(2)O13
C4 - O13
1.86616
π*
0.01033
a
E(2) means energy of hyper conjugative interactions.
b
Energy difference between donor and acceptor i and j. NBO orbitals.
c
F(i, j) is the Fock matrix element between i and j. NBO orbitals.
25
Figure captions. Fig. 1 (a) and 1(b): Two different conformers of 3-hydroxy-2-methyl-4pyrone. Fig. 2: Molecular structure of 3-hydroxy-2-methyl-4pyrone. Fig.3: Comparison of observed and calculated FTIR spectra of 3-hydroxy2-methyl-4pyrone. Fig.4: Comparison of observed and calculated FT-Raman spectra of3hydroxy-2- methyl-4pyrone. Fig. 5: Mulliken charge distribution of maltol and 4-pyrone. Fig.6: Frontier molecular orbitals of 3-hydroxy-2-methyl-4pyrone. Fig.7: The linear regression between the experimental and theoretical 1H and 13
C NMR Chemical shifts of 3-hydroxy-2-methyl-4pyrone.
26
Fig.1 (a) and 1(b): Two different Conformers of 3-hydroxy-2-methyl-4pyrone. .
Fig. 2: Optimised structure of 3-hydroxy-2-methyl-4pyrone.
27
Fig.3: Comparison of observed and calculated FTIR spectra of 3-hydroxy2-methyl-4pyrone (a) calculated with B3 LYP/6-31G* (b) observed with KBr disc
28
Fig.4: Comparison of observed and calculated FT-Raman spectra of 3hydroxy-2-methyl-4-pyrone (a) calculated with B3 LYP/6-31G* (b) observed with KBr disc
29
Fig. 5: Mulliken charge distribution of maltol and 4-pyrone.
30
Fig.6: Frontier molecular orbitals of 3-hydroxy-2-methyl-4pyrone
Fig.7: The linear regression between the experimental and theoretical 1H and 13
C NMR Chemical shifts of 3-hydroxy-2-methyl-4pyrone.
31
Highlights
The experimental and theoretical study on the vibrations of maltol is
presented.
The energies of it obtained for most stable conformer.
NLO and NBO analysis of the molecule were studied.
The electronic properties were measured.
GRAPHICAL ABSTRACT The conformational analyses of maltol were performed. The complete vibrational assignment and analysis of the fundamental modes of the most stable conformer was carried out using the experimental FTIR and FT-Raman data and quantum mechanical studies.