## Polyelectrolytes |

### From inside the book

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Page 29

The

above procedure for the derivation of the

processes. The first brings the ions to the distribution in the final equilibrium and

the ...

The

**free energy**per macroion with its counter ions is given by f=ue-Ts (22) Theabove procedure for the derivation of the

**free energy**is composed of twoprocesses. The first brings the ions to the distribution in the final equilibrium and

the ...

Page 31

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

coefficient g and the activity coefficient y of counter ions are thus given by y = g ...

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

**free energy**, Eq. (22), with respect to the number of counter ions. The osmoticcoefficient g and the activity coefficient y of counter ions are thus given by y = g ...

Page 135

The probability of each microscopic conformation /' is proportional to the factor

exp (—f(i)/k T) where /(/) is the

conformation parameter / such as the end-to-end distance, the radius of gyration,

the ...

The probability of each microscopic conformation /' is proportional to the factor

exp (—f(i)/k T) where /(/) is the

**free energy**of conformation i. Let us define aconformation parameter / such as the end-to-end distance, the radius of gyration,

the ...

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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