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Long-chain branching in polymers

  • Percy A. Small
Conference paper
Part of the Advances in Polymer Science book series (POLYMER, volume 18)

Keywords

Shear Rate Intrinsic Viscosity Vinyl Chloride Linear Polymer Vinyl Acetate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Symbols and Abbreviations

A2

Second virial coefficient of osmotic pressure

a1, a2

Coefficients in the expansion of α2 (6.1)

b1, b2

Coefficients in expansion relating to A2 (6.6)

Ctm, Ctp

Chain transfer coefficients with monomer and polymer

g

s2br/〈s2lin

g0

g for molecules of unperturbed dimensions

{ie3-1}

g at T=Θ

g

[η]br/[η]lin

h

Rbr/Rlin

M

Molecular weight

{ie}

Number and weight average DP

nb

Number of branches per polymer molecule

{ie}

Number and weight average DP

R

Hydrodynamic radius (4.7)

S0

Sedimentation constant at zero concentration

s2

Mean square molecular radius

s02

s2〉 for molecules of unperturbed dimensions

〈{ie3-2}〉

s2〉 at T=Θ

x

Exponent in g′=g x ; DP in Beasley's equation (7.3)

Zx, Zc

Number of chain atoms at cross-over point for melt viscosity and at break point in log viscosity plot for linear polymers

α

Flory's coil expansion factor (3.2)

β

Excluded volume per pair of polymer segments; Beasley's branching parameter (7.3)

η, η0

Viscosity; viscosity at zero rate of shear

[η]

Intrinsic viscosity

Θ

Flory's theta temperature (6.9)

Θ {ie3-3}

Temperature at which A2=0

{ie3-4}

Temperature at which α=1

λ

Fraction of material in backbone of comb-shaped molecule; number of branches per MW unit

ξ

Degree of conversion in polymerization reaction

ϱ

Number of branches per monomer unit

ψ1

Coefficient in expression for excess chemical potential (6.9)

br, lin

Subscripts denoting branched and linear molecules

LCB

Long-chain branching

DP

Degree of polymerization

MW, MWD

Molecular weight; molecular weight distribution

LDPE

Low-density polyethylene

HDPE

High-density polyethylene

PVAc

Poly(vinyl acetate)

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Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • Percy A. Small
    • 1
  1. 1.Department of ChemistryUniversity of ManchesterEngland

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