St. Moe et al., A NEW APPROACH FOR ESTIMATING THE CROSS-LINK DENSITY OF COVALENTLY CROSS-LINKED IONIC POLYSACCHARIDE GELS, Carbohydrate polymers, 20(4), 1993, pp. 263-268
For an ideal polysaccharide gel with a known total polymer chain conto
ur length, crosslinks all of the same functionality and elastic chains
all with the same contour length and stiffness, the gel crosslink den
sity can readily be determined from measurements of the maximum volume
of the swollen gel (Moe et al., (1991) Food Hydrocolloids, 5, (1/2),
119-23. In the case of randomly crosslinked polysaccharide gels, where
the chain contour length between two adjacent crosslinks may vary gre
atly, it is often much more difficult to determine the crosslink densi
ty. This paper reports on an attempt to extend the use of maximum gel
volume measurements to estimate crosslink density for the latter type
of gel. This is done by calculating the maximum swelling volume for po
lymer networks with four-functional crosslinks, known elastic chain me
an contour length and standard deviation. The numerical analysis invol
ves the calculation of the equilibrium force at each crosslink as the
network expands. This allows a detailed study of how the distribution
of individual polymer chain contour lengths affects the maximum swelli
ng volume. The computer simulation results are compared with the resul
ts from experimental measurements of the maximum volume of swollen cov
alently crosslinked sodium alginate gels.