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ION–SOLVENT INTERACTIONS  199

         surface-to-volume ratio is so large in biological cells means that most of the water
         there is affected by  the surface forces. However, this is not supported by  the MD
         calculations of Ahlstrom  et  al.,  who  made  an  MD  simulation  of the   binding
         protein, parvalbumin. These workers found, contrary to the expectation arising from
         knowledge of the high surface-to-volume ratio, that relatively few ions were immobi-
         lized (Fig. 2.81) on the surface of the protein. However, they did conclude that the
         dipole of the waters in contact with the protein was indeed oriented perpendicularly
         to the protein surface. These findings contradict NMR data that indicate surface waters
         as having a longer relaxation time than in the bulk. The potential functions of the MD
         simulation may have been ill chosen. Electron density distributions of water in cells
         show order out to 1500 pm.



         2.26. SOME DIRECTIONS OF FUTURE RESEARCH IN ION–SOLVENT
               INTERACTIONS
             Traditionally, the interaction between particles in chemistry has been based upon
         empirical laws,  principally on  Coulomb’s  law.  This  law  is also the basis  of the
         attractive part of the potential energy used in the Schrödinger equation, but the resultant




























                              Fig. 2.81. Snapshots  from a
                              stochastic dynamics simulation
                              of DNA supercoiling. (Reprinted
                              from P. Ahlstrom, O. Teleman,
                              and B. Jocsom, J. Am.  Chem.
                              Soc. 110: 4198, 1988.)
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