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ION–SOLVENT INTERACTIONS  187






          2.22.2. Maximum Electrostrictive Decrease in the Volume of Water in
                  the First Hydration Shell

              The definition of compressibility is






          Then, 48





          and after integration,




              Although  is known to decrease with increase of pressure, it is of interest to
           make a first approximation by taking                           up to
                                 10
          pressures on the order of 10  Pa. Then, for                                                        omes


              However, water cannot be compressed below the volume of the close-packed
          structure,          Hence, when the compressibility is taken as pressure inde-
          pendent, the calculated effect of pressure becomes overestimated. What, then, is the
          relation of   to P?

          2.22.3. Dependence of Compressibility on Pressure

              It is known empirically that for water




          Hence, at                                           It can  be  seen that
                       a 22% decrease in  compared with that at the standard condition of
            5
          10  Pa.


          48
           A pressure of         atm is the standard pressure for reporting data, and it is denoted by a
           superscript null after the variable, e.g.,
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