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4. Results and discussion 4.1. Molecular geometry The optimized structure parameters of p-anisaldehyde calcu- lated by ab initio HF and DFT-B3LYP levels with the 6-31G(d,p) basis set are listed in the Table 1 in accordance with the atom numbering scheme given in Fig. 3. Table 1 compares the cal- culated bond lengths and angles for p-anisaldehyde with those experimentally available from X-ray diffraction data [10]. From the theoretical values, we can find that most of the optimized bond angles are slightly larger than the experimen- tal values, due to the theoretical calculations belong to isolated molecules in gaseous phase and the experimental results belong to molecules in solid state. Comparing bond angles and lengths of B3LYP with those of HF, as a whole the formers are on higher side than the latter and the HF calculated values cor- relates well compared with the experimental results. In spite of the differences, calculated geometric parameters represent a good approximation and they are the bases for calculating other parameters, such as vibrational frequencies and thermodynamic properties. 4.2. Vibrational assignments It has been argued that in 3,4-dimethylbenzaldehyde, all the atoms excepting the H atoms of CH3group are in the same plane. Sundaraganesan et al. [17] took the mentioned compound to be planar. During the force field calculations, Zwarich et al. [18] took the benzaldehyde molecule to be planar. Therefore in the present study, C and H atoms of CH3group are taken to be in plane of the methyl group. With this assumed struc- tural model, the molecule under consideration would belongs to Cspoint group and the 48 normal modes of vibration which span the irreducible representations: 21 A + 17 A . The har- monic vibrational frequencies calculated for p-anisaldehyde at HF and B3LYP levels using the 6-31G(d,p) basis set along with diffuse and polarization functions have been summarized in Tables 2 and 3. Comparison of the frequencies calculated at HF and B3LYP with experimental values (Table 4) reveals the overestimation of the calculated vibrational modes due to neglect of anharmonicity in real system. Inclusion of electron correlationtional in density func-theory to a certain extend makes the frequency values smaller in comparison with the HF frequency data. The reduced mass and force constants along with the depolarization ratios of the calculated frequencies have been included in Tables 2 and 3 to have rational basis for the assignments. The stick spectra of p-anisaldehyde at HF and B3LYP levels using 6-31G(d,p) basis set have been shown in Fig. 4. . All the calculated modes are numbered from the largest to the smallest frequency within each fundamental wave number. The observed FTIR and FT Raman frequencies for various modes of vibrations are assigned and are presented in the Table 4 |
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