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ION–SOLVENT INTERACTIONS  73

          information  obtained  spectroscopically  with  that obtained  using  the partial  molar
          volumes and vibration potential methods (Section 2.7).
              One point should be noted here: the importance of using a 10%    mixture with
               in IR spectroscopic measurements because of the properties of HOD,  which
          contributes a much more clearly resolved spectrum with respect to O-D. Thus, greater
          clarity (hence information) results from a spectrum in the presence of HOD. However
          the chemical properties (e.g., dipole moment) of HOD are very similar to those of
              Raman spectra have a special advantage in analyzing species in solution. This is
          because the integrated intensity of the spectral peaks for this type of spectroscopy is
                                                                      15
          proportional  to the  concentration of the  species that  gives  rise to  them.  From
          observations of the  intensity  of the Raman peaks, equilibrium constants K can be
          calculated and hence   from the thermodynamic equation        can be
          derived. Furthermore, if one carries out the Raman experiment at various temperatures,
          one can determine both the heat and the entropy of solution. Since
          a plot of ln K against 1/T gives the enthalpy of solvation from the slope and the entropy
          from the intercept. This provides much information on the various relations of ions to
          water molecules in the first one or two layers near the ion. In particular, the use of a
          polarized light beam in the Raman experiments provides information on the shape of
          complexes present in a solution.

          2.11.2. IR Spectra

              In obtaining information on solvation that can be deduced from IR spectra, the
          first thing that must be understood is that the raw data, the peaks and their frequencies,
          seldom speak directly but need to be decoded. Spectra in the IR region are mainly
          messages fed back from the solvent, and it is from the interpretation of evidence for
          changes in the solvent’s libration and rotation when ions are introduced (rather than
          any new peaks) that information on solvation may sometimes be drawn. One has to
          take the spectrum of the solvent, then that of the solution, and subtract them to obtain
          the effect of the solute (Fig. 2.19). Vibration spectra have frequencies in the region of
                but it is usual to refer to the inverse of the wavelength, that is, the wavenumber,
                  Since      then          It  turns out  then that the wavenumbers of
          most covalent bonds are numerically in the thousands. 16
             Intramolecular effects  can  be  detected in the  near  infrared or high-frequency
          region             Intermolecular effects  are  seen  in the far  infrared or  low-
          frequency region   down to  100   Early measurements showed that ions can
          cause new peaks to arise that are at distinctly higher wavenumbers than those in pure
          water. The explanation proposed is that some of the hydrogen bonds present in pure

          15
           This tends to be the case for all spectra. For other spectra it involves sensitivity factors or nonlinearity at
          higher concentrations; that is, it is approximate.
          16
           A typical value for v is  and            Hence, the wave number, , is
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