## Cluster theory of interactions of small ions with polyelectrolytes |

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### Contents

Cluster Expansion of the Free Energy | 6 |

Discussion | 52 |

Appendix A Summation over Rings and Chains | 57 |

2 other sections not shown

### Common terms and phrases

added salt agreement with experiment Alexandrowicz Appendix approximation assume beads calculated Chem cient cluster expansion cluster integrals coeffi colligative properties concen concentrations of mobile convolution theorem coordinates corresponding counterion and byion counterions originating Debye Debye-Huckel defined derived diagrams containing diverge Doctor of Philosophy Donnan equilibrium electrolyte electrostatic free energy external compartment Figure Fourier transform g-bond chains Helmholtz free energy higher order terms interactions among mobile ion activity coefficients ion of species Katchalsky and Lifson linear lyte Mayer theory mean activity coefficient mean force neglected osmotic coefficient Phys plot Poisson-Boltzmann equation poly ion polyelectro polyelectrolyte solutions polyion charged sites polyion concentration polymer potential of mean pure salt solution result ring diagrams salt concentration San Diego screened coulomb potential screening constant segments self-energy short-range single ion activity small ions sodium bromide solvent summation tends to zero theory of ionic tration University of California virial