## Polyelectrolytes |

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Page 31

This is directly derived from Eq. (16) and also confirmed by differentiation of the

Hiickel approximation, in which the

ions is ...

This is directly derived from Eq. (16) and also confirmed by differentiation of the

**free energy**, Eq. (22), with respect to the number ... One of them is the Debye-Hiickel approximation, in which the

**electrical**potential energy \e0\j/\ of counterions is ...

Page 135

The free energy due to the variety of microscopic conformations belonging to / is

called the conformational free energy /c(/). The standard free enegy/0 and the

of ...

The free energy due to the variety of microscopic conformations belonging to / is

called the conformational free energy /c(/). The standard free enegy/0 and the

**electric free energy**fe(l) defined in the previous chapters are also contained in /(/)of ...

Page 139

Since the

salts, the extensive force changes with the change of these concentrations. On

the other hand, the differentiation of free energy with respect to the concentration

...

Since the

**electric free energy**is a function of the concentration of macroions andsalts, the extensive force changes with the change of these concentrations. On

the other hand, the differentiation of free energy with respect to the concentration

...

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### Contents

Preface | 1 |

theoretically understandable Idealized treatment based on the simplest | 5 |

Electrical Potential Around the Macroion | 9 |

Copyright | |

17 other sections not shown

### Common terms and phrases

absence of salt activity coefficient activity of counter addition of salt additivity law alkali apparent charge bound counter ions chain Chapter charge density charged groups chemical potential coefficient of counter coil conformation concentration of counter concentration of free concentration of macroions copolymer counter ion condensation critical value cylindrical macroion decreases degree of dissociation degree of neutralization density Q derived dielectric constant dielectric dispersion dielectric increment electric free energy entropy equilibrium experimental extensive force fluctuation free counter ions free energy free volume hydrogen ions increase interaction ionized groups kinds of counter macromolecules monomers monovalent number of charged number of counter number of free osmotic coefficient osmotic pressure Poisson-Boltzmann equation polyacids polyacrylic acid polyelectrolytes polyvalent counter ions potential valley proportional radius random coil ratio refractive index region relation result rodlike macroions rods salt concentration salt solution shown in Fig simple salt small ions sodium ions spherical macroion total number valence