## Polyelectrolytes |

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Page 13

OF. COUNTER. IONS. I. Equilibrium between Bound and Free Counter Ions

According to the previous discussion, counter ions in a ... One region is occupied

by macroions, the total volume of which is equal to Nv, where N is the

OF. COUNTER. IONS. I. Equilibrium between Bound and Free Counter Ions

According to the previous discussion, counter ions in a ... One region is occupied

by macroions, the total volume of which is equal to Nv, where N is the

**total****number**of ...Page 24

volume of the gas, the condensation to liquid takes place at a certain critical

value of the number or the density of gas ... The abscissa is the charge density of

macroions, or the

volume of the gas, the condensation to liquid takes place at a certain critical

value of the number or the density of gas ... The abscissa is the charge density of

macroions, or the

**total number**of counter ions, or the**total number**of molecules.Page 96

If the

necessary for this reduction of the effective charge, all of them are condensed

and no free polyvalent ions remain, as mentioned in Chapter 4. Such a

phenomenon ...

If the

**total number**of polyvalent counter ions in the solution is smaller than thatnecessary for this reduction of the effective charge, all of them are condensed

and no free polyvalent ions remain, as mentioned in Chapter 4. Such a

phenomenon ...

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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