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Physical Chemistry     328


           Molecular  vibrational  frequencies generally lie in the  infrared region of the
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                                   12
                                                              −1
        electromagnetic spectrum (3×10 –3×10  Hz, or  100–10000  cm ). A typical infrared
                                                                              −1
        absorption spectrometer records a spectrum in the frequency range  400–4000  cm .
        Absorption at characteristic frequencies can often be ascribed to polyatomic normal
        modes  of  vibration of individual groups of atoms in the molecule. The characteristic
        frequencies of some of these vibrational modes are listed in Table 2 and are useful for the
        identification of particular types of bond in an unknown compound. Absorptions from the
        remaining normal modes usually occur in  the  lower  frequency  fingerprint region
                  −1
        (<~1200 cm ).
                        Table 1. Bond vibrational data for specific diatomic
                        molecules

        Molecule Force constant/N  Reduced    Vibration        Vibration
                                                                          −1
                   −1
                 m              mass/amu      frequency/Hz     frequency/cm
          19
        1 H F    966            0.9570        1.241×10 14      4139
          35
        1 H Cl   516            0.9796        8.964×10 13      2990
          81
        1 H Br   412            0.9954        7.946×10 13      2649
          127
        1 H I    314            0.9999        6.921×10 13      2308
           16
        12 C O   1902           6.856         6.505×10 13      2170
        14 N O   1595           7.466         5.798×10 13      1904
           16
                        Table 2. Characteristic vibrational frequencies

                                                       −1
        Vibration                           Frequency/cm
        Hydrogen bonds                      3200–3570
        O−H stretch                         3600–3650

        N−H stretch                         3200–3500
        =C−H stretch                        3000–3100
        C−H stretch                         2850–2970
        C≡N stretch                         2200–2270
        C≡C stretch                         2150–2260
        C=O stretch                         1650–1780
        C=C stretch                         1620–1680
        C−H bend                            1360–1470
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