Polyelectrolytes |
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Page 10
... valley at the position of the rod . Let us suppose that a random coil occupies a spherical volume v of radius a . If n ionized groups of the charge -e 。 are uniformly distributed in this volume , the potential drop at the edge is given ...
... valley at the position of the rod . Let us suppose that a random coil occupies a spherical volume v of radius a . If n ionized groups of the charge -e 。 are uniformly distributed in this volume , the potential drop at the edge is given ...
Page 11
... potential trough . ( 1 ) ( 3 ) ཕྱི • ( 4 ) FIG . 5. Three regions for counter ions bound in and around the macroion . ( 1 ) The potential hole at charged groups ; ( 2 ) the potential valley along the cylindrical region occupied by the ...
... potential trough . ( 1 ) ( 3 ) ཕྱི • ( 4 ) FIG . 5. Three regions for counter ions bound in and around the macroion . ( 1 ) The potential hole at charged groups ; ( 2 ) the potential valley along the cylindrical region occupied by the ...
Page 111
... potential valley , is given by the product of the concentration of free counter ions outside the macroion and the factor exp ( −ed / kT ) . The concentration of free counter ions is equal to the activity and it is easily shown with Eq ...
... potential valley , is given by the product of the concentration of free counter ions outside the macroion and the factor exp ( −ed / kT ) . The concentration of free counter ions is equal to the activity and it is easily shown with Eq ...
Contents
Preface | 1 |
theoretically understandable Idealized treatment based on the simplest | 5 |
Electrical Potential Around the Macroion | 9 |
Copyright | |
19 other sections not shown
Common terms and phrases
activity coefficient additivity law alkali apparent charge bound counter ions chain Chapter charge density charged groups chemical potential coefficient of counter concentration of counter concentration of free concentration of macroions copolymer coulomb counter ion condensation critical value cylindrical macroion cylindrical model decreases degree of dissociation degree of neutralization derived dielectric constant dielectric increment electric free energy entropy equilibrium experimental extensive force fluctuation free counter ions free energy free volume hydrogen ions increase interaction ionic atmosphere ionized groups kinds of counter larger than unity logarithm monomers number of charges number of counter number of free osmotic coefficient osmotic pressure Poisson-Boltzmann equation polyacids polyacrylic acid polyelectrolytes Polymer polyvalent counter ions potential trough potential valley proportional radius random coil ratio refractive index region relation repulsion result rodlike macroion salt concentration shown in Fig simple salt smaller than unity sodium ions spherical macroion total number valence water structure