On the Equation of State of Oligomer and Polymer Liquids

Havlik, A. J.; Simha, Robert

doi:10.1021/ja01056a018

Cited by 71 publications

(16 citation statements)

References 2 publications

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“…At elevated pressure ( P 5 (1) Extensive literature references are found in P. S. Wilson the behavior of the characteristic hole fraction in the nonequilibrium glass and in the transition region for several polymers. At elevated pressure ( P 5 (1) Extensive literature references are found in P. S. Wilson the behavior of the characteristic hole fraction in the nonequilibrium glass and in the transition region for several polymers.…”

Section: Discussionmentioning

confidence: 99%

Thermal Expansion of Amorphous Polymers at Atmospheric Pressure. I. Experimental

Wilson¹,

Simha²

1973

Macromolecules

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The design and calibration of a simple volume dilatometer are described. It overlaps and extends to about 250" the range of our cryogenic dilatometer and thus is suitable for expansivity studies of some polymeric high-temperature glasses, the corresponding liquids, and rubbery polymers. Measurements of specific volume are accurate within f1.3 x cm3/g. The results for three methacrylate polymers are given, namely, cyclohexyl. cyclopentyl, and a highly isotactic methyl. The thermal expansivities and derived free-volume quantities are compared with each other and with previous results for homologous series of poly(alky1 methacrylates) and poly-(vinyl ethers). The typical effects in systems with linear side chains, which are reflected in reduced values of the characteristic product h T g , are not encountered in the present systems. They retain "normal" values, not withstanding the enhanced mobility of the rings.

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Section: Discussionmentioning

confidence: 99%

Thermal Expansion of Amorphous Polymers at Atmospheric Pressure. I. Experimental

Wilson¹,

Simha²

1973

Macromolecules

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“…Brittle strength vs. number of backbone polyethylene polymer to be 13.2 GPa. In practice, about 5 GPa has been achieved and the value of 13 GPa has been extrapolated from experimental data. This agreement points out the utility of this approach in estimating the strength of ordered polymers.…”

Section: Brittle Fracturementioning

confidence: 99%

The estimation of mechanical properties of polymers from molecular structure

Seitz

1993

J of Applied Polymer Sci

176

128

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SYNOPSISThe use of semiempirical and empirical relationships have been developed to estimate the mechanical properties of polymeric materials. Based on these relationships, properties can be calculated from only five basic molecular properties. They are the molecular weight, van der Waals volume, the length and number of rotational bonds in the repeat unit, as well as the Tg of the polymer. Since these are fundamental molecular properties, they can be obtained from either purely theoretical calculations or from group contributions. The use of these techniques by polymer chemists can provide a screening technique that will significantly diminish their bench time so that they may pursue more creatively the design of new polymeric materials. 0 1993 John Wiley & Sons, Inc.

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“…16,17 The Simha-Somcynsky model is a modified lattice-hole model that defines molecular disorder of the polymer chains in terms of a hole fraction of vacant sites within a lattice. The origin of the molecular-based models is usually rooted in an intermolecular potential based on intermolecular attractive and repulsive forces.…”

Section: Introductionmentioning

confidence: 99%

“…Often, van der Waals radii for the molecules in the material being studied ͑liquid, metal, polymer, etc.͒ are used as the basis for the potential. 13,19 Other molecular-based EOS models of note that have been applied to polymers are those of Dee and Walsh, 20 which is somewhat of a hybrid theory of those of Fox and Flory,21,22 Simha and Somcynsky, [16][17][18] the Flory, Orwoll, and Vrij EOS, 23 and the lattice fluid model of Sanchez and Lacombe. 16,17 The Simha-Somcynsky model is a modified lattice-hole model that defines molecular disorder of the polymer chains in terms of a hole fraction of vacant sites within a lattice.…”

Section: Introductionmentioning

confidence: 99%

A novel method for static equation-of state-development: Equation of state of a cross-linked poly(dimethylsiloxane) (PDMS) network to 10 GPa

Dattelbaum

Jensen

Schwendt

et al. 2005

The Journal of Chemical Physics

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Pressure-volume-temperature (PVT) equation-of-state (EOS) information for polymers and polymeric composites is valuable for predicting their response to extreme conditions. An obstacle in determining equations of state for polymeric materials is the lack of a simple, static experimental method for acquiring PVT data for solid networks and liquids at pressures greater than several kilobars. Here, we report a novel approach in determining static EOS for polymers using high-pressure diamond-anvil cells coupled with optical microscopy and image analysis. Results are presented for a cross-linked poly(dimethylsiloxane) polymer, Sylgard 184. Static isothermal results were fitted to empirical and semiempirical equations of state, including the Tait, Birch-Murnaghan, and Vinet forms. Static PV data were also converted to pseudoshock velocity-pseudoparticle velocity (U(s)-u(p)) for comparison to dynamic Hugoniot data. A linear Rankine-Hugoniot fit U(s)=s(T)u(p)+c(T) gives c(T)=1.572 km/s and s(T)=1.703. s(T) is related to the pressure derivative of the bulk modulus B(0) (') by s(T)=(B(0) (')+1)/4 and B(0) (')=5.8. A comparison of the static and shock data is given, along with an estimate of the Grüneisen parameter, and a discussion of the free volume content in the polymer network, and limitations of this novel method.

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On the Equation of State of Oligomer and Polymer Liquids

Cited by 71 publications

References 2 publications

Thermal Expansion of Amorphous Polymers at Atmospheric Pressure. I. Experimental

Thermal Expansion of Amorphous Polymers at Atmospheric Pressure. I. Experimental

The estimation of mechanical properties of polymers from molecular structure

A novel method for static equation-of state-development: Equation of state of a cross-linked poly(dimethylsiloxane) (PDMS) network to 10 GPa

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