Polyelectrolytes |
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Page 31
... free energy , Eq . ( 22 ) , with respect to the number of counter ions . The osmotic coefficient g and the activity coefficient y of counter ions are thus given by y = g = c + ( R ) / ( nN / V ) = c + ( R ) / cp ( 34 ) The free energy ...
... free energy , Eq . ( 22 ) , with respect to the number of counter ions . The osmotic coefficient g and the activity coefficient y of counter ions are thus given by y = g = c + ( R ) / ( nN / V ) = c + ( R ) / cp ( 34 ) The free energy ...
Page 114
... free volume , the Poisson - Boltzmann equation can be written as ( d2þ / dx2 ) + ( 1 / x ) ( @ p / dx ) + ( 1 / x2 ) ( d2 þ / d02 ) = A exp ( − p ) A = ( 4л2nе2 / εolkТ ) ... free energy . Now , the force between two rods is given by 114.
... free volume , the Poisson - Boltzmann equation can be written as ( d2þ / dx2 ) + ( 1 / x ) ( @ p / dx ) + ( 1 / x2 ) ( d2 þ / d02 ) = A exp ( − p ) A = ( 4л2nе2 / εolkТ ) ... free energy . Now , the force between two rods is given by 114.
Page 135
... free energy of conformation i . Let us define a conformation parameter I such as the end - to - end distance , the ... free energy of conformation 1. The free energy due to the variety of microscopic conformations belonging to I is ...
... free energy of conformation i . Let us define a conformation parameter I such as the end - to - end distance , the ... free energy of conformation 1. The free energy due to the variety of microscopic conformations belonging to I is ...
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