Cell theory and equation-of-state of chain molecular systems: Application to polymer solids

Arora, Ritu; Jain, R.K.; Nanda, Vikas

doi:10.1002/1099-0488(20010301)39:5<515::aid-polb1025>3.0.co;2-j

Cited by 5 publications

(2 citation statements)

References 34 publications

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“…In contrast with many EOS proposed for the molten polymers, those for the semicrystalline ones are scarce 21, 22. For polymeric glasses at very low‐temperature ( T < 80 K, or T̃ ≤ 4 × 10 −3 ) Simha et al23 proposed corresponding states EOS based on Einstein assembly of harmonic oscillators.…”

Section: Molten State Theorymentioning

confidence: 99%

Equations of state for polyamide‐6 and its nanocomposites. II. Effects of clay

Utracki

2009

J Polym Sci B Polym Phys

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The pressure-volume-temperature (PVT) dependencies of polyamide-6 and its nanocomposites (polymeric nanocomposites) were measured at temperatures T ¼ 300-600 K and pressures P ¼ 0.1-190 MPa, thus spanning the range of molten and ''solid'' phases. The Simha-Somcynsky (S-S) cell-hole equation of state (EOS) was used for describing the molten region. At T g (P)T T m (P), the ''solid'' phase is a mixture of the liquid polyamide-6 with dispersion of crystals. Accordingly, the PVT behavior in this region was described as a combination of the S-S EOS for the liquid phase and the Midha-Nanda-Simha-Jain (MNSJ) EOS for the crystalline one. These two theories based on different models yielded two sets of the characteristic reducing parameters, P * , T * , V * and the segmental molecular weight, M s . Incorporation of 2 and 5 wt % clay increased P * and reduced T * and V * , but the effects were small. Fitting the combination of S-S and MNSJ EOS' to isobaric ''solid'' phase data yielded the total crystallinity, X cryst , and the correcting excess specific volume, DV m,c . Both parameters were sensitive to pressure, P, and the clay content, w-the former increased with P and w, whereas the latter decreased. The raw PVT data were numerically differentiated to obtain the thermal expansion and compressibility coefficients, a and j, respectively. At T \ T m , addition of clay reduced their relative magnitude, whereas at T [ T m , the opposite effect was observed, most likely owing to the excess of intercalant in the polymeric nanocomposites samples. V V C 2009 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 47: [966][967][968][969][970][971][972][973][974][975][976][977][978][979][980] 2009

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Section: Molten State Theorymentioning

confidence: 99%

Equations of state for polyamide‐6 and its nanocomposites. II. Effects of clay

Utracki

2009

J Polym Sci B Polym Phys

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“…Modifications by Flory et al (FOV) [1964] and by Dee and Walsh [1988a,b] are discussed below. More recently, Arora et al [2001] derived equation of state starting with the Prigogine et al cell model and full L-J potential:…”

Section: Prigogine Trappeniers and Mathot Equation Of State For S-mersmentioning

confidence: 99%

Equations of State and Free‐Volume Content

Moulinié

Utracki

2010

Polymer Physics

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Equation of state for high density solid and melt polyethylene

Sachdev

Jain

2005

J Polym Sci B Polym Phys

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Pressure‐volume‐temperature (PVT) measurements for high‐density linear polyethylene (LPE) are studied experimentally over a temperature range of 290 to 470 K and pressures up to 3.1 kbar. For melt, the results can be represented by the Tait equation within the precision of the data. It is noticed that for each isotherm, an abrupt departure from the Tait representation occurs at a particular pressure. This is ascribed to onset of solidification due to pressure. Further, variation of the degree of crystallinity with pressure at various temperatures has been investigated. Finally, the PVT data has been analyzed in terms of the LJD cell theory in its original form without any modifications or simplifications of the cell potential. Satisfactory agreement is obtained between experiment and theory over the entire range of PVT data both in solids and melt states. © 2005 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 43: 1618–1623, 2005

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Cell theory and equation-of-state of chain molecular systems: Application to polymer solids

Cited by 5 publications

References 34 publications

Equations of state for polyamide‐6 and its nanocomposites. II. Effects of clay

Equations of state for polyamide‐6 and its nanocomposites. II. Effects of clay

Equations of State and Free‐Volume Content

Equation of state for high density solid and melt polyethylene

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