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Dependence of elastic properties of lattice structures made from a block-copolymer on the chain molecular mass

A.D. Pomogailo, and V.E. Zgaevsky, Yu.N. Karnet

#### Abstract:

We use the scaling conception and models for microstructure of lattice of a block-copolymer to obtain an analytic dependence of high-elastic properties of this lattice on molecular parameters (a number of segments in each block and the size of segments) and structural parameters (the density of chain segments between node points of a lattice). Employing a known from publications empiric formula related the distance between end points of a macromolecule and the molecular mass, we have an opportunity to exclude the square of a distance between end points of a macromolecular and thus to obtain a relationship between elastic properties of lattice structures made from a block-copolymer and the molecular mass of molecules containing this block-copolymer. Some modifications of the theoretical relationships are proposed. It should be noted that the formulas obtained contain no explicit relationships between elastic properties of a block-copolymer and volume fractions of its components.

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