Chemistry Reference
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lattice is employed, and kink translocations are introduced to speed up
the computations. Similarly, Monte Carlo simulations have been used to
calculate dimensions of ring polymers 294-296 and excluded volume effects
in semiflexible ring polymers. 297 Monte Carlo simulations have also been
used to characterize stiffening transitions in semiflexible cyclics. 298 Mo-
lecular dynamics simulations have given interesting information on both
static 299-300 and dynamic properties 299-301 of cyclic polymers. A self-
consistent field theory for Gaussian ring polymers is also available. 302 Di-
mensional analyses using a scaling model have been used to describe
cyclic molecules in general, including those of PDMS. 303 Finally, simula-
tions have been carried out on the cyclization of α,ω-telechelic chains. 304
3.5.3 Comparisons Between Polysiloxane Cyclics and Polysiloxane
Linear Chains
There have been many comparisons of cyclic polysiloxanes with the corre-
sponding linear chains of the same molecular weight. Table 3.3 provides
Table 3.3. COMPARISONS BETWEEN CYCLIC POLYSILOX ANES AND LINEAR
POLYSILOX ANES OF THE SAME MOLECULAR WEIGHT
Value of property for
cyclics relative to linears Reference
Property
Polymer
Intrinsic
viscosities
Poly(dimethylsiloxane)
Lower
347-348
Gel permeation
chromatography
Both gave sharp
fractions
349-350
Chain dimensions
Lower
351
Bulk viscosities
Higher at low M, but
lower at high M
352
Diffusion
coefficients
Higher
353-356
Effects of heat
Both show bond
interchanges
357-358
Second virial
coefficients
Lower
359
Radii of gyration
(Monte Carlo)
Lower
360
Ellipsoidal shapes
(Monte Carlo)
Lower asymmetry
361
( continued )
 
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