Lj. Fetters et al., CONNECTION BETWEEN POLYMER MOLECULAR-WEIGHT, DENSITY, CHAIN DIMENSIONS, AND MELT VISCOELASTIC PROPERTIES, Macromolecules, 27(17), 1994, pp. 4639-4647
One of the main goals of polymer science has been to relate the struct
ure of macromolecular chains to their macroscopic properties. In parti
cular, it has been hoped that one could relate the sizes of polymer co
ils to the degree to which they entangle with one another and thus to
their viscoelasticity in the melt. In recent years, the availability o
f model polymers with nearly monodisperse molecular weight distributio
ns and precisely controlled chemical structures has allowed for improv
ed data both on rheology and on the dimensions of the chains. This has
now allowed us to determine the correlations between such properties
as chain dimensions, density, and plateau modulus and to show that som
e quite simple relations exist between them. The main body of these da
ta is on polymers that can be considered to be models for polyolefins.
These have been made by the hydrogeneration of polydienes synthesized
by anionic polymerization techniques. In this way the molecular weigh
t distribution can be made to be nearly monodisperse (M(w)/M(n) < 1.1)
and the chemical structure is well controlled. For example, models of
a wide range of ethylene-butene copolymers have been made by the satu
ration of polybutadienes with a range of vinyl content. Such polymers
can be made at many molecular weights as well. The viscoelastic proper
ties of these polymers have been measured very precisely, and their ch
ain dimensions have been determined by small-angle neutron scattering.
To a high degree of correlation, we find that the mean-square unpertu
rbed end-to-end distance, <R2>0, the density, rho, and molecular weigh
t, M, are related to the plateau modulus, G(N)0, G(N)0 is-proportional
-to {<R2>0rho/M}3 a finding in accord with that of Ronca. This simple
relationship gives us a deep understanding of what controls the rheolo
gy of these polyolefins and of how we might be able to predict the pro
perties of as yet unsynthesized polymers.