Indian Journal of Pure & Applied Physics Vol. 54, April 2016, pp. 269-278 FTIR, FT-Raman spectra and DFT analysis of 3-methyl-4-nitrophenol S Jeyavijayan* Department of Physics, Kalasalingam University, Krishnankoil 625126, India Received 9 August 2014; revised 25 November 2014; accepted 20 May 2015 The FTIR and FT-Raman spectra of 3-methyl-4-nitrophenol (MNP) have been recorded in the regions 4000-400 cm-1 and 3500-50 cm-1, respectively. Utilizing the observed FTIR and FT-Raman data, a complete vibrational assignment and analysis of the fundamental modes of the compound have been carried out. The optimum molecular geometry, harmonic vibrational frequencies, infrared intensities and Raman scattering activities, have been calculated by density functional theory (DFT/B3LYP) method using 6-31+G(d,p) and 6-311++G(d,p) basis sets. The difference between the observed and scaled wavenumber values of most of the fundamentals is very small. A detailed interpretation of the infrared and Raman spectra of MNP is also reported based on total energy distribution (TED). The calculated HOMO and LUMO energies show that the charge transfers occur within the molecule. Keywords: FTIR, FT-Raman, DFT calculations, 3-methyl-4-nitrophenol 1 Introduction Phenol, also known as carbolic acid, is an organic compound. It is produced on a large scale as a precursor to many materials and useful compounds. Phenol is also a versatile precursor to a large collection of drugs, most notably aspirin but also many herbicides and pharmaceuticals. It is used in the preparation of cosmetics including sunscreens, hair dyes and skin lightening preparations. Unlike normal alcohols, phenols are acidic because of the influence of the aromatic ring1. Phenol and its vapours are corrosive to the eyes, the skin and the respiratory tract. Phenol derivatives are interesting molecules for theoretical studies due to their relatively small size and similarity to biological species. In recent years, phenol and substituted phenol have been the frequent subjects of experimental and theoretical work because of their significance in industry and environment. Evans2 has extensively studied the vibrational assignments of infrared spectrum of phenol. Huang et al.3 have elucidated halogen effect and isotope effect of chloro phenol and Wang et al.4 have obtained the vibrational analysis on nitro phenols. More recently, the vibrational spectroscopy investigation using ab-initio (HF) and DFT (B3LYP) calculations on the structure of 3-bromo phenol have been studied by Mahadevan et al.5 During the course of investigation on the samples of biological and pharmaceutical —————— *Corresponding author (E-mail: [email protected]) active compounds, the attention has been turned towards 3-methyl-4-nitrophenol (MNP). The title compound 3-methyl-4-nitrophenol (MNP) is one of the most important organic intermediates, is widely used for the manufacture of pesticides, rubber, drugs, varnishes and dyestuffs. The assignment of the vibrational frequencies for substituted phenols becomes complicated problem because of the superposition of perhaps several vibrations due to fundamentals and substituents. However, a comparison of the spectra with that of the parent compound gives some definite clues about the nature of the molecular vibrations. The vibrational spectra of the molecule have been studied completely and the various normal modes with greater wave numbers accurately have been identified. In the present study, the density functional theory (DFT) calculations using 6-31+G(d,p) and 6-311++G(d,p) basis sets have been performed to support the wave number assignments. 2 Experimental Details The pure sample of MNP was obtained from Lancaster Chemical Company, UK and used as such for the spectral measurements. The room temperature Fourier transform infrared spectra of the title -1 compound was recorded in the region 4000-400 cm -1 at a resolution of + 1 cm using BRUKER IFS 66V model FTIR spectrometer equipped with an MCT detector, a KBr beam splitter and globar source. 270 INDIAN J PURE & APPL PHYS, VOL 54, APRIL 2016 The FT-Raman spectrum of MNP was recorded on a computer interfaced BRUKER IFS 66V model interferometer equipped with FRA-106 FT-Raman accessories. The spectrum was measured in the Stokes region 3500-50 cm-1 using Nd: YAG laser operating at 200 mW power continuously with 1064 nm excitation. The reported wave numbers are expected to be accurate within +1 cm-1. 3 Computational Details In order to provide information with regard to the structural characteristics and the normal vibrational modes of MNP, the DFT-B3LYP correlation functional calculations have been carried out. The molecular geometry optimizations, energy and vibrational frequency calculations were carried out for MNP with the GAUSSIAN 09W software package6. The geometry generated from the standard geometrical parameters was minimized without any constraint on the potential energy surface at DFT level employing the Becke 3LYP keyword, which invokes Becke’s three-parameter hybrid method7 using the correlation function of Lee et al.8, implemented with 6-31+G(d,p) and 6-311++G(d,p) basis sets. The optimized structural parameters were used for the vibrational frequency calculations at DFT level to characterize all the stationary points as minima. The multiple scaling of the force constants were performed according to SQM procedure9,10 using selective scaling in the natural internal coordinate representation11,12. The transformation of force field, subsequent normal coordinate analysis and calculation of the TED were done on a PC with the MOLVIB program (version V7.0-G77) written by Sundius13,14. By the use of GAUSSVIEW molecular visualization program15 along with available related molecules, the vibrational frequency assignments were made by their TED with a high degree of confidence. The TED elements provide a measure of each internal coordinate’s contributions to the normal coordinate. 4 Results and Discussion 4.1 Molecular geometry The optimized molecular structure of MNP is shown in Fig. 1. The global minimum energy obtained by the DFT structure optimization using 631+G(d,p) and 6-311++G(d,p) basis sets for MNP are calculated as -551.32293 Hartrees and -551.44823 Hartrees, respectively. The optimization geometrical parameters of MNP obtained by the DFT/B3LYP method with 6-31+G(d,p) and 6-311++G(d,p) basis Fig.1—Molecular structure of 3-methyl-4-nitrophenol sets are listed in Table 1. Comparing bond angles and bond lengths of B3LYP/6-31+G(d,p) and 6-311++G(d,p) basis sets for MNP, it is observed that the geometrical parameters are found to be almost same at B3LYP/6-31+G(d,p) and B3LYP/6311++G(d,p) levels. However, the B3LYP/631+G(d,p) level of theory, in general, slightly over estimates bond lengths but it yields bond angles in excellent agreement with the B3LYP/6-311++G(d,p) method. The calculated geometrical parameters are the bases for calculating other parameters such as vibrational frequencies and thermodynamics properties of the compound. According to the calculation (B3LYP/6-31+(d,p)), the order of the bond length is C5-C6 < C1-C2 < C1C6 = C2-C3 < C4-C5 < C3-C4. From the order of the bond length, it is clear that the hexagonal structure of the benzene ring is slightly distorted. This can be due to the influence of conjugation between the substituents and the ring. The ring carbon atoms in substituted benzenes exerts a larger attraction on the valence electron cloud of the hydrogen atom resulting in an increase in the C-H force constants and a decrease in the corresponding bond length. It is evident from the C–H bond lengths in MNP, vary from 1.082 to 1.087Å by B3LYP/6-31+(d,p) method. The benzene ring appears to be a little distorted because of the NO2 group and methyl group substitutions as seen from the bond angles C3–C4–C5 and C2–C3–C4, which are calculated as 121.58° and 116.29°, respectively, by B3LYP/6-31+(d,p) method and differ from their typical hexagonal angle of 120°. JEYAVIJAYAN: FTIR, FT-RAMAN SPECTRA AND DFT ANALYSIS OF 3-METHYL-4-NITROPHENOL 271 Table 1—Optimized geometrical parameters of 3-methyl-4-nitrophenol obtained by DFT-B3LYP method using 6-31+G(d,p) and 6-311++G(d,p) basis sets Bond length Value (Å) Bond angle B3LYP/ 6- B3LYP/ 631+G(d,p) 311++G(d,p) Value (°) B3LYP/ 631+G(d,p) B3LYP/ 6311++G(d,p) Dihedral Angle Value (°) B3LYP/ 631+G(d,p) B3LYP/ 6311++G(d,p) C1–C2 1.398 1.395 C2–C1–C6 120.19 120.18 C6–C1–C2–C3 -0.24 -0.72 C1–C6 1.400 1.397 C2–C1–O7 122.46 122.45 C6–C1–C2–H9 179.68 179.04 C1–O7 1.360 1.359 C6–C1–O7 117.33 117.36 O7–C1–C2–C3 179.81 179.46 C2–C3 1.400 1.397 C1–C2–C3 122.34 122.25 O7–C1–C2–H9 -0.25 -0.76 C2–H9 1.087 1.086 C1–C2–H9 119.18 119.19 C2–C1–C6–C5 -0.04 -0.08 C3–C4 1.413 1.408 C3–C2–H9 118.47 118.54 C2–C1–C6–H18 -179.99 -179.93 C3–C10 1.509 1.508 C2–C3–C4 116.29 116.31 O7–C1–C6–C5 179.90 179.73 C4–C5 1.402 1.398 C2–C3–C10 117.95 118.24 O7–C1–C6–H18 -0.05 -0.11 C4–N14 1.465 1.470 C4–C3–C10 125.74 125.43 C2–C1–O7–H8 -0.13 -0.43 C5–C6 1.384 1.381 C3–C4–C5 121.58 121.73 C6–C1–O7–H8 179.91 179.75 C5–H17 1.082 1.081 C3–C4–N14 122.16 121.94 C1–C2–C3–C4 0.23 0.64 C6–H18 1.084 1.082 C5–C4–N14 116.24 116.32 C1–C2–C3–C10 179.87 179.71 C7–H8 0.966 0.963 C4–C5–C6 120.83 120.70 H9–C2–C3– C4 -179.69 -179.13 C10–H11 1.093 1.091 C4–C5–H17 118.43 118.50 H9–C2–C3–C10 -0.05 -0.05 C10–H12 1.092 1.091 C6–C5–H17 120.73 120.79 C2–C3–C4–C5 0.05 0.21 C10–H13 1.092 1.091 C1–C6–C5 118.75 118.80 C2–C3–C4–N14 179.97 179.95 N14–O15 1.235 1.227 C1–C6–H18 119.75 119.69 C10–C3–C4–C5 -179.56 -178.78 N14–O16 1.235 1.228 C5–C6–H18 121.49 121.50 C10–C3–C4–N14 0.36 0.96 C1–O7–H8 110.57 110.31 C2–C3–C10–H11 -2.50 -7.91 C3–C10–H11 109.66 109.70 C2–C3–C10–H12 118.22 112.64 For numbering of atoms refer Fig. 1 C3–C10–H12 111.42 111.17 C2–C3–C10–H13 -123.32 -128.76 C3–C10–H13 111.64 111.81 C4–C3–C10–H11 177.10 171.06 H11–C10–H12 108.96 108.93 C4–C3–C10–H12 -62.17 -68.37 H11–C10–H13 108.92 108.84 C4–C3–C10–H13 56.28 50.21 H12–C10–H13 106.11 106.26 C3–C4–C5–C6 -0.33 -1.01 C4–N14–O15 117.98 117.79 C3–C4–C5–H17 179.79 179.26 C4–N14–O16 118.60 118.34 N14–C4–C5–C6 179.74 179.23 O15–N14–O16 123.41 123.85 N14–C4–C5–H17 -0.12 -0.49 C3–C4–N14–O15 -174.57 -163.23 C3–C4–N14–O16 5.58 17.32 C5–C4–N14–O15 5.34 16.51 C5–C4–N14–O16 -174.48 -162.91 C4–C5–C6–C1 0.32 0.92 C4–C5–C6–H18 -179.71 -179.21 H17–C5–C6–C1 -179.80 -179.35 H17–C5–C6–H18 0.15 0.49 INDIAN J PURE & APPL PHYS, VOL 54, APRIL 2016 272 Detailed description of vibrational modes can be given by means of normal coordinate analysis. For this purpose, the full set of 61 standard internal coordinates (containing 13 redundancies) for the title compound are defined in Table 2. From these, a non-redundant set of local symmetry coordinates was constructed by suitable linear combinations of internal coordinates following the recommendations of Fogarasi et al.11,12 and are summarized in Table 3. 4.2 Vibrational assignments From the structural point of view, the molecule is assumed to have C1 point group symmetry and hence, all the calculated frequency transforming to the same symmetry species (A). The molecule consists of 18 atoms and expected to have 48 normal modes of Table 3—Definition of local symmetry coordinates of 3-methyl-4-nitrophenol Table 2—Definition of internal coordinates of 3-methyl-4nitrophenol No Symbol Type Pi PI Ri 14 15 16 17,18 Ui Ti Qi Vi CH C2–H9, C5–H17, C6–H18 CH (methyl) C10–H11, C10–H12, C10–H13 CC C1–C2, C2–C3, C3–C4, C4–C5, C6–C1, C3–C10 CO C1–O7 CN C4–N14 OH O7–H18 NO (nitro) N14–O16, N14–O15 In-plane bending 19–24 i 25–27 i 28–30 i 31,32 33 34,35 36,37 38,39 40 41–46 i i is i i i i CH C3–C2–H9, C1–C2–H9, C1–C6– H18, C5–C6–H18, C4–C5–H17, C6–C5–H17 CCH C3–C10–H11, C3–C10–H12, C3– (methyl) C10–H13 HCH H11–C10– H12, H11–C10–H13, H12–C10–H13 CNO C4–N14–O16, C4–N14–O15 ONO O14–N14–O15 CCC C4–C3–C10, C2–C3–C10 CCN C5–C4–N14, C3–C4–N14 CCO C6–C1–O7, C2–C1–O7 COH C1–O7–H8 Ring [CCC] C1–C2–C3, C2–C3–C4, C3–C4– C5, C4–C5–C6, C5–C6–C1, C6– C1–C2 i 50–55 i 56 57 58 59 60 i i i i i 61 i Definitiona P1, P2, P3 (P4 + P5 + P6) / 3 , (2P4 + P5 + P6) / 6 , (P4 – P2) 2 7–13 14 15 16 17 CC CO CN OH NO2ass R7, R8, R9, R10, R11, R12, R13 U14 T15 Q16 (V17 + V18) / 2 18 NO2ass 19 Rtrigd H9–C2–C1–C3, H18–C6–C1–C5, H17–C5–C6–C4 Ring [CCC] C1–C2–C3–C4, C2–C3–C4–C5, C3–C4–C5–C6, C4–C5–C6–C1, C5–C6–C1–C2, C6–C1–C2–C3, CN N14–C4–C3–C5 CC C10–C3–C2–C4 CO O7–C1–C2–C6 OH H8–O7–C1–(C2, C6) t CH3 (H11, H12, H13)–C10–C3–(C2 – C4) t NO2 (O15, O16)–N14–C4–(C3, C5) (V17 - V18) / 2 20 Rsymd ( 19 - 20 + 21 - 22 + 23 - 24)/ 6 (- 19 – 20 + 2 21 - 22 - 23 + 2 24)/ 12 21 22-24 Rasymd bCH ( 19 - 20 + 22 - 23) / 2 (25 - 26) / 2 , (27 - 28) / 2 , (29 - 30) / 2 Out-of-plane bending 47–49 Type CH CH (methyl) Definition Stretching 1–3 4–6 7–13 No 1–3 4–6 CH a 25 CH3sb 26 CH3ipb 27 CH3opb (-33 - 34 - 235) / 6 (33 - 34) / 2 28 CH3ipr (231 - 32 - 33) / 29 CH3opr 30 NO2rock (32 - 33) / 2 (37 - 38) / 2 31 NO2twist (37 + 38) / 32 NO2sciss 33 bCN 34 bCC 35 bCO 36 37–39 40 41 42 43 44 bOH CH CN CC CO OH tRtrigd 45 tRsymd 46 tRasymd 47 48 tCH3 tNO2 (31 - 32 - 33 + 34 + 35 + 36) / 6 6 2 (239 - 38 - 37) / 2 (40 - 41) / 2 (42 - 43) / 2 (44 - 45) / 2 46 47, 48, 49 50 51 52 53 (54 - 55 - 56 + 57 - 58 + 59) / 6 (54 - 56 - 57 - 59) / 2 (-66 + 267 - 68 - 69 + 270 - 71) 12 72 73 The internal coordinates used here are defined in Table 2 JEYAVIJAYAN: FTIR, FT-RAMAN SPECTRA AND DFT ANALYSIS OF 3-METHYL-4-NITROPHENOL 273 Table 4—Observed FTIR, FT Raman and calculated (unscaled and scaled) frequencies (cm-1), IR intensity (km mol-1), Raman Activity (Å4 amu-1), reduced masses (amu) and and force constant (m dyne Å-1) and probable assignments (characterized by TED) of 3-methyl-4nitrophenol using B3LYP method (contd.) Calculated frequencies (cm-1) Species Observed wave C1 number (cm-1) FTIR TED% among B3LYP/6-31+G(d,p) B3LYP/6-311++G(d,p) types of FT UnscaledScaled Reduce Force IR Raman UnscaledScaled Reduced Force IR Raman coordinat es Raman d mass Constants intensity activity mass Constants intensity activity A 3396(s) 3392(vw) 3819 3567 1.06 9.16 87.84 162.17 3827 3574 1.06 9.20 91.42 152.41 A 3091(ms) 3090(vw) 3246 3032 1.09 6.78 3.53 3223 3010 1.09 6.69 3.00 91.17 A 2991(ms) - 3221 3008 1.09 6.67 1.22 103.65 3203 2992 1.09 6.59 0.90 93.46 A 2946(w) - 3171 2962 1.09 6.45 15.75 100.48 3154 2946 1.09 6.38 14.11 98.22 A 2902(vw) - 3133 2926 1.10 6.38 17.65 61.00 3117 2911 1.10 6.31 16.26 55.68 A - 2892(vw) 3130 2923 1.10 6.35 4.42 3110 2905 1.09 6.27 5.04 A 2836(vw) 3058 2856 1.03 5.71 16.82 180.27 3047 2846 1.03 5.66 14.36 190.23 A 1604(ms) 1604(ms) 1656 1607 6.96 11.26 175.61 46.48 1648 1599 6.94 11.13 152.30 39.06 - - 84.42 66.38 65.86 A 1590(s) 1639 1590 6.20 9.82 138.66 46.21 1631 1582 5.96 9.35 128.36 51.42 A 1519(s) 1525(vw) 1583 1536 9.39 13.88 181.67 16.11 1570 1523 9.13 13.36 213.04 14.02 A 1479(s) 1482(w) 1525 1480 2.81 3.86 34.01 8.76 1520 1474 2.76 3.76 38.49 8.62 A 1460(s) - 1500 1455 1.39 1.85 37.06 1.43 1496 1451 1.36 1.80 36.01 1.29 A 1433(w) - 1479 1435 1.04 1.34 8.04 8.57 1476 1431 1.06 1.37 8.45 7.17 A 1424(s) - 1456 1413 2.15 2.69 38.12 4.52 1452 1408 2.08 2.58 41.21 4.61 A 1385(vs) 1380(vs) 1425 1383 1.22 1.47 2.89 15.65 1421 1378 1.21 1.45 4.30 13.04 1356(vw) 1375 1334 6.94 7.74 207.80 150.95 1362 1321 8.55 9.35 301.67 224.04 A - A 1322(s) 1368 1327 7.93 8.75 144.38 138.17 1357 1316 6.27 6.80 28.75 32.49 A 1261(s) 1260(ms) 1330 1290 2.50 2.60 108.45 63.06 1325 1285 2.28 2.36 82.47 53.22 - A 1248(ms) 1290 1251 1.84 1.80 182.81 22.50 1284 1245 2.03 1.97 196.85 29.29 A 1200(vw) 1196(ms) 1197 1161 1.45 1.23 67.38 18.55 1197 1161 1.35 1.14 146.48 18.27 1190 1155 1.59 1.33 130.05 1.09 1190 1154 1.80 1.50 52.90 1.28 1122(vs) 1125(vw) 1170 1135 1.62 1.30 1166 1131 1.61 1.29 6.65 14.27 A A - - 1165(w) 9.86 14.83 OH (99) CH (98) CH (97) CH (95) CH3ss (92) CH3ips (91) CH3ops (93) NO2ass (90) CC (89) CC (87) CC (88) CC (86) CC (85) CH3ipb (82) NO2ss (81) CC (80) CH3sb (83) CC (80) CN (78) CO (76) bOH (72) bCH (73) (contd.) INDIAN J PURE & APPL PHYS, VOL 54, APRIL 2016 274 Table 4—Observed FTIR, FT Raman and calculated (unscaled and scaled) frequencies (cm-1), IR intensity (km mol-1), Raman Activity (Å4 amu-1), reduced masses (amu) and and force constant (m dyne Å-1) and probable assignments (characterized by TED) of 3-methyl-4nitrophenol using B3LYP method Species Observed wave C1 number (cm-1) A A A A A A A A A A A A A A A A A A A A A A A A A A Calculated frequencies (cm-1) TED% among B3LYP/6-31+G(d,p) B3LYP/6-311++G(d,p) types of FTIR FT UnscaledScaled Reduce Force IR Raman UnscaledScaled Reduced Force IR Raman coordinat Raman mass Constants intensity activity d mass Constants intensity activity es 1074(ms) 1093 1061 3.65 2.57 67.44 39.22 1092 1059 3.66 2.57 66.03 41.31 bCH (70) 1022(w) 1056 1025 1.51 0.99 2.96 0.08 1054 1022 1.52 1.00 2.95 0.55 CH3opb (71) 1010(ms) 1036 1005 1.52 0.96 3.04 8.70 1034 1003 1.52 0.96 2.62 7.89 bCH (70) 963(w) 986 957 1.30 0.75 0.41 0.20 982 953 1.39 0.79 0.73 1.25 CH3opr (69) 952(ms) 975 946 3.23 1.81 13.90 11.95 970 941 2.89 1.60 15.87 10.02 CH3ipr (71) 838(ms) 856 831 1.63 0.70 44.67 0.00 857 831 9.07 3.93 21.39 13.67 Rtrigd (68) 830(vs) 847 822 9.34 3.95 19.82 15.15 852 826 1.64 0.70 42.82 0.21 Rasymd (69) 818(vs) 838 813 1.31 0.54 0.02 0.13 836 811 1.33 0.55 0.65 0.50 Rsymd (70) 741(vs) 751 729 7.35 2.44 17.01 0.70 753 730 7.01 2.34 11.10 0.77 NO2sciss (70) 732(ms) 728(w) 744 722 6.35 2.07 3.50 14.36 745 723 6.34 2.07 3.60 14.64 bCC (68) 644(ms) 667 647 3.57 0.93 5.02 0.32 687 666 3.45 0.96 9.33 0.36 NO2wag (65) 622(vs) 622(vw) 631 612 7.12 1.67 17.08 0.47 631 612 7.00 1.64 16.15 0.61 bCN (66) 575 4.52 0.93 4.12 7.20 597 579 4.13 0.86 4.52 5.69 bCO 580(vw) 592 (65) 561 3.72 0.73 0.27 1.79 567 550 4.06 0.77 0.24 2.85 NO2rock 565(vw) 577 (65) 513 5.04 0.83 7.65 4.85 528 512 4.97 0.81 7.15 4.73 518(w) 514(vw) 528 CH (64) 445(vw) 452 439 2.95 0.35 4.66 0.17 450 437 3.00 0.35 9.20 0.49 CH (62) 428(vw) 429 417 5.64 0.61 7.45 1.85 433 420 5.17 0.57 7.05 1.34 CH (63) 388(vw) 389 378 1.11 0.09 119.19 1.96 364 353 1.19 0.09 105.49 1.75 tRtrigd (60) 366(vw) 361 350 8.12 0.62 0.06 2.35 359 348 5.82 0.44 6.04 2.05 tRasymd (61) 325(vw) 328 319 3.48 0.22 0.88 0.27 325 315 3.59 0.22 0.80 0.27 tRsymd (62) 300(vw) 303 294 5.69 0.30 2.12 0.90 292 283 5.31 0.26 3.42 0.97 CC (60) 268(w) 249 242 6.50 0.23 3.12 0.36 244 237 7.77 0.27 3.38 0.40 CN (62) 219(ms) 241 234 1.14 0.03 0.40 0.70 221 214 1.17 0.03 0.15 1.02 CO (60) 202(w) 199 193 2.96 0.06 0.30 0.74 197 191 2.55 0.05 0.47 0.55 OH (59) 115(w) 103 103 5.86 0.03 0.84 0.60 102 102 5.92 0.03 0.82 0.72 NO2twist (58) 85(w) 82 82 8.06 0.00 0.13 0.34 40 40 8.19 0.01 0.35 0.94 CH3twist (58) JEYAVIJAYAN: FTIR, FT-RAMAN SPECTRA AND DFT ANALYSIS OF 3-METHYL-4-NITROPHENOL vibrations. All the vibrations are active both in the Raman scattering and infrared absorption. The detailed vibrational assignment of fundamental modes of MNP along with the calculated IR and Raman frequencies and normal mode descriptions (characterized by TED) are reported in Table 4. The observed and calculated FTIR and FT-Raman spectra of MNP are shown in Figs 2 and 3, respectively. Fig.2—Comparison of observed and calculated IR spectra of 3-methyl-4-nitrophenol (a) observed, (b) calculated with B3LYP/6-31+G(d,p) and (c) calculated with B3LYP/ 6-311++G(d,p) 275 The main focus of the present investigation is the proper assignment of the experimental frequencies to the various vibrational modes of MNP in corroboration with the calculated harmonic vibrational frequencies at B3LYP level using the standard 6-31+G(d,p) and 6-311++G(d,p) basis sets. Comparison of the frequencies calculated by DFT-B3LYP method with the experimental values reveals the over estimation of the calculated vibrational modes due to neglect of anharmonicity in real system. The results indicate that the B3LYP/6311++G(d,p) calculations approximate the observed fundamental frequencies much better than the B3LYP/6-31+G(d,p) results. The vibrational analysis obtained for MNP with the unscaled B3LYP force field is, generally, somewhat greater than the experimental values. These discrepancies can be corrected either by computing anharmonic corrections explicitly or by introducing a scaled field or directly scaling the calculated wavenumbers with proper factor5. A tentative assignment is often made on the basis of the unscaled frequencies by assuming the observed frequencies so that they are in the same order as the calculated ones. Then, for an easier comparison to the observed values, the calculated frequencies are scaled by the scale to less than 1, to minimize the overall deviation. A better agreement between the computed and experimental frequencies can be obtained by using different scale factors for different regions of vibrations. For that purpose, a scale factor of 0.934 (up to 1700 cm-1) and 0.97 (below 1700 cm-1) for all the fundamental modes except the torsional mode was used to compute the corrected wavenumbers at DFT level and compared with the experimentally observed frequencies. The resultant scaled frequencies are also listed in Table 4. 4.2.1 O-H vibrations Fig.3—Comparison of observed and calculated Raman spectra of 3-methyl-4-nitrophenol (a) observed, (b) calculated with B3LYP/6-31+G(d,p) and (c) calculated with B3LYP/ 6-311++G(d,p) Hydrogen bonding alters the frequencies of the stretching and bending vibration. The O-H stretching bands move to lower frequencies usually with increased intensity and band broadening in the hydrogen bonded species. Hydrogen bonding if present in five or six member ring system would reduce the O-H stretching band to 3200-3550 cm-1 region16. The O-H in-plane-bending vibration in phenol, in general, lies in the region 1150-1250 cm-1 and is not much affected due to hydrogen bonding unlike the stretching and out-of-plane deformation frequencies. The O-H out-of-plane deformation vibration in phenols lies in the region 290-320 cm-1 276 INDIAN J PURE & APPL PHYS, VOL 54, APRIL 2016 for free O-H and in the region 517-710 cm-1 for associated O-H16. In MNP, the FTIR and FT-Raman bands appeared at 3396 and 3392 cm-1 are assigned to O-H stretching modes of vibration, respectively, which are further supported by the TED contribution of 99%. The in-plane and out-of-plane bending vibrations of hydroxy group for MNP have been identified at 1165 and 202 cm-1 in FT-Raman, respectively. 4.2.2 C-H vibrations Aromatic compounds commonly exhibit multiple weak bands in the region 3100-3000 cm-1 due to aromatic C-H stretching vibrations17. The bands due to C-H in-plane ring bending vibrations, interact somewhat with C-C stretching vibrations, are observed as a number of sharp bands in the region 1300 -1000 cm-1. The C-H out-of-plane bending vibrations are strongly coupled vibrations and occur in the region 900 - 667 cm-1. Hence, the infrared bands appeared at 3091, 2991 and 2946 cm-1 and the Raman band found at 3090 cm-1 in MNP have been assigned to C-H stretching vibrations and these modes are confirmed by their TED values. The in-plane and out-of-plane bending vibrations of C-H group have also been identified for MNP and presented in Table 4. The theoretically computed values for C-H vibrational modes by B3LYP/6-311++G(d, p) method give excellent agreement with experimental data. 4.2.3 NO2 group vibrations The characteristics group frequencies of nitro group are relatively independent of the rest of the molecule, which makes this group convenient to identify. Aromatic nitro compounds have strong absorptions due to the asymmetric and symmetric stretching vibrations of the NO2 group at 1625-1540 cm-1 and 1400-1360 cm-1, respectively18. Hydrogen bonding has little effect on the NO2 asymmetric stretching vibrations19,20. In the title compound, the infrared and Raman bands both at 1604 cm-1 have been designated to asymmetric stretching mode of NO2 group. The strong bands at 1385 cm-1 in IR and 1380 cm-1 in Raman spectra have been assigned to symmetric stretching mode of nitro group and found to be in good agreement with TED output. The scissoring mode of NO2 group has been designated to the band at 741 cm-1 in IR spectrum. The band at 565 cm-1 in Raman is attributed to NO2 rocking mode. The wagging and twisting vibrational modes of NO2 for MNP are also observed at 644 cm-1 in FTIR and 115 cm-1 in Raman spectrum. 4.2.4 C–C vibrations The bands between 1400 and 1650 cm-1 in benzene derivatives are due to C-C stretching vibrations21. Therefore, the C-C stretching vibrations of the title compound are found at 1590, 1519, 1479, 1460, 1433, 1261 cm-1 in FTIR and 1525, 1482, 1356, 1260 cm-1 in the FT-Raman spectrum and these modes are confirmed by their TED values. The C-C in-plane and out-of-plane bending vibrations of the title compound were well identified in the recorded spectra within their characteristic region. These bending modes show consistent agreement with the computed B3LYP results. 4.2.5 C-N vibrations The identification of C-N stretching vibration is a difficult task since, it falls in a complicated region of the vibrational spectrum22. The IR band appeared at 1248 cm-1 in MNP has been designated to C-N stretching vibration. The IR and Raman band appeared at 622 cm-1 in MNP has been designated to C-N in-plane bending vibration. The C-N out-of-plane bending vibration is observed at 268 cm-1 in Raman. These assignments are also supported by the TED values. 4.3 HOMO, LUMO analysis The highest occupied molecular orbitals (HOMOs) and the lowest unoccupied molecular orbitals (LUMOs) are named as frontier molecular orbitals (FMOs). The FMOs play an important role in the electric and optical properties, as well as in UV–Vis spectra and chemical reactions 23. The atomic orbital HOMO and LUMO compositions of the frontier molecular orbital for MNP computed at the B3LYP/ 6-31+G(d,p) are shown in Fig. 4. The calculations Fig.4—Atomic orbital HOMO and LUMO compositions of the frontier molecular orbital for 3-methyl-4-nitrophenol JEYAVIJAYAN: FTIR, FT-RAMAN SPECTRA AND DFT ANALYSIS OF 3-METHYL-4-NITROPHENOL indicate that the title compound have 40 occupied MOs. The LUMO: of π nature, (i.e. benzene ring) is delocalized over the whole C-C bond. By contrast, the HOMO is located over OH group; consequently the HOMO → LUMO transition implies an electron density transfer to C-C bond of the benzene ring and NO2 group from OH group. Moreover, these three orbitals significantly overlap in their position of the benzene ring for MNP. The HOMO–LUMO energy gap of MNP was calculated at B3LYP method using 6-31+G(d,p) and 6-311++G(d,p) basis sets and presented in Table 5, which reveals that the energy gap reflects the chemical activity of the molecule. The LUMO as an electron acceptor represents the ability Table 5—HOMO-LUMO energy values of 3-methyl-4nitrophenol calculated by B3LYP method Parameters HOMO energy (a.u) LUMO energy(a.u) HOMO-LUMO energy gap(a.u) Method/Basis set B3LYP/631+G(d,p) -0.26377 -0.09585 0.16792 B3LYP/6311++G(d,p) -0.26421 -0.09536 0.16885 Table 6—Thermodynamic parameters of 3-methyl-4-nitrophenol calculated at B3LYP method Parameters Total energy(thermal), Etotal (kcal mol-1) Heat capacity, Cv (kcal mol-1 k-1) Entropy, S (kcal mol-1 k-1) Total Translational Rotational Vibrational Vibrational energy, Evib (kcal mol-1) Zero point vibrational energy, (kcal mol-1) Rotational constants (GHz) A B C Dipole moment (Debye) μx μy μz μtotal Method/Basis set B3LYP/631+G(d,p) 90.647 B3LYP/6311++G(d,p) 90.340 0.0362 0.0363 0.0982 0.0410 0.0301 0.0271 88.869 0.0963 0.0409 0.0301 0.0252 88.562 84.666 84.342 2.222 0.801 0.591 2.241 0.801 0.596 4.958 2.414 0.025 5.515 4.817 2.390 0.080 5.378 277 to obtain an electron, and HOMO represents the ability to donate an electron. Moreover, a lower HOMO–LUMO energy gap explains the fact that eventual charge transfer interaction is taking place within the molecule. 4.4 Other molecular properties Using the DFT/B3LYP with 6-31+G(d,p) and 6-311++G(d,p) basis set calculations, several thermodynamic properties like heat capacity, zero point energy and entropy of MNP have been calculated and presented in Table 6. The difference in the values calculated by both the basis sets is only marginal. Scale factors have been recommended24 for an accurate prediction in determining the zero-point vibration energy (ZPVE) and the entropy (Svib). The variation in the ZPVE seems to be insignificant. The total energy and the change in the total entropy of the compound at room temperature are also presented. 5 Conclusions The optimized geometries, harmonic vibrational wavenumbers and intensities of vibrational bands of MNP have been carried out using the B3LYP method with the standard 6-31+G(d,p) and 6-311++G(d,p) basis set calculations for the first time in this investigation. The theoretical results were compared with the experimental vibrations. The DFT based quantum mechanical approach provides the most reliable theoretical information on the vibrational properties of MNP. The assignments of most of the fundamentals provided in the present work are believed to be unambiguous. The TED calculation regarding the normal modes of vibration provides a strong support for the frequency assignment. Therefore, the assignments proposed at higher level of theory with higher basis set with only reasonable deviations from the experimental values seem to be correct. 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