Polyelectrolytes |
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Page 75
... Chapters 2 and 3. The simple two - phase model in Chapter 2 predicted that for cylindrical macroions at infinite dilution the potential difference first increases with increasing charge density and is then completely saturated at the ...
... Chapters 2 and 3. The simple two - phase model in Chapter 2 predicted that for cylindrical macroions at infinite dilution the potential difference first increases with increasing charge density and is then completely saturated at the ...
Page 103
... chapter . In the absence of salt the free energy ƒ of polyelectrolyte solution per macroion with its counter ions is given by expression ( 22 ) . The total free energy of the solution containing N macro- ions is then Nf . ( The mixing ...
... chapter . In the absence of salt the free energy ƒ of polyelectrolyte solution per macroion with its counter ions is given by expression ( 22 ) . The total free energy of the solution containing N macro- ions is then Nf . ( The mixing ...
Page 111
... chapter . The concentration of counter ions c ' in the vicinity of the macroion , i.e. , in the potential valley , is given by the product of the concentration of free counter ions outside the macroion and the factor exp ( −ed / kT ) ...
... chapter . The concentration of counter ions c ' in the vicinity of the macroion , i.e. , in the potential valley , is given by the product of the concentration of free counter ions outside the macroion and the factor exp ( −ed / kT ) ...
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