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ION–SOLVENT INTERACTIONS 133







          or in numerical form:






          Substitution of   in Eq.  (2.110) gives  which,  when used in Eq. (2.109),
          gives the vibrational contribution to the entropy of an NSCW near ions (Table 2.19).

               2.15.13.6.   (Model A).   In this model, the hydrogen-bonded molecule of
          the SB region is seen as executing one free rotation about the H-bond axis. The two
          rotations about  the  axes perpendicular  to  the  H-bond  axis  will be  librational.
                     can be obtained from Eq.  (2.109)  using a frequency  represented by  a
          wave-number of 60                     assigned for the rotational band of a
          one-hydrogen-bonded species. Thus,





              The entropy corresponding to two librations can be obtained by inserting the
          librational frequencies,  and   in  Eq.  (2.109). The assignments of these
          based on the interpretation of the infrared spectrum for two libration frequencies, are
                                    Substituting these values in Eq. (2.109) gives










              The three vibrations, corresponding to the three translational degrees of freedom,
          for a molecule involved in a single H bond are assigned frequencies of
          The entropy for these vibrations follows from Eq. (2.109) as




          From Eqs. (2.119) to (2.122)





          Thus
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