## Abstract

The mutual second virial coefficient A_{2} between two identical ideal miktoarm star copolymer chains A_{x}B_{y}, composed of A and B branches is determined up to the first order of the small parameter ε = 4 -d (d is the space dimensionality) by means of simple perturbation theory. Analytical expressions corresponding to various macroscopic states, as those are defined by the prevailing binary intermolecular interactions, are obtained as a function of the arm lengths N_{A}, N_{B}, their corresponding numbers x, y, and the interaction parameters, between units of similar or dissimilar kind U_{AA}, U_{BB}, and U_{AB}. The effect of the copolymer architecture is also studied in detail by calculating g_{A}, the ratio of the virial coefficient of a miktoarm star with respect to that of a linear diblock copolymer with the same number of A and B units; g_{A} is dimensionless and experimentally accessible.

Original language | English (US) |
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Pages (from-to) | 6691-6696 |

Number of pages | 6 |

Journal | Macromolecules |

Volume | 31 |

Issue number | 19 |

State | Published - Sep 22 1998 |

Externally published | Yes |

## ASJC Scopus subject areas

- Materials Chemistry

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