Thermal expansion of the skeleton of chain molecules in polymer crystals

Vettegren, V. I.; Slutsker, A. I.; Gilyarov, V. L.; Кулик, В. Б.; Titenkov, L. S.

doi:10.1134/1.1602903

Cited by 10 publications

(7 citation statements)

References 15 publications

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“…3). The band shift of the rocking vibration for polyethylene directly reflects the deformation of crystalline structure [20,21]. Hydroxyl groups entering crystalline lattice will disrupt the ordered packing of ethylene segments, and inevitably influence the crystalline state, which is closely related with the crystalline band shift of IR spectra.…”

Section: Resultsmentioning

confidence: 99%

“…Crystallization perfection will lead to 'blue shift' of the rocking band of the ethylene segments. The higher hydroxyl group content in EVOH copolymers provides more opportunities for hydroxyl groups to be included in the crystalline lattice [7], which in turn causes the crystallization imperfection and the 'red shift' of crystalline bands from 733.8 for EVOH (9) to 730.8 cm 21 for EVOH (28).…”

Section: Resultsmentioning

confidence: 99%

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Polymorphism and side group location of ethylene copolymers characterized by FTIR and NMR spectroscopy

Su¹,

Zhao²,

Xu³

et al. 2004

Polymer

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Polymorphism and side group location of ethylene copolymers characterized by FTIR and NMR spectroscopy

Su¹,

Zhao²,

Xu³

et al. 2004

Polymer

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“…[3,5,6] Figure 1 shows the variable-temperature FT-IR spectra of a HDPE film prepared by annealing. The temperature drops from room temperature to À130 8C at 5 8C intervals.…”

Section: Resultsmentioning

confidence: 99%

“…Enormous amounts of literature have accumulated over the years concerning the characterization of the variation of unit cell dimensions of typical crystalline polymers such as polyolefins. [1][2][3][4] Swan investigated the variation of the orthorhombic unit cell dimension of a linear polyethylene with changing temperature by X-ray diffraction techniques, drawing a conclusion that the orthorhombic unit cell dimensions of polyethylene expand with increased temperature, and a set of parameters a, b, and c for the orthorhombic unit cell have different expansion coefficients with increasing temperature. Analyzing the above data with a least-squares technique, the non-linear equations of the unit cell parameters as a function of temperature were established in Swan's report.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the Variation of Unit Cell Dimensions of Crystalline Polymers with High‐Resolution FT‐IR Spectroscopy

Zhao

Kang

et al. 2005

Macromol. Rapid Commun.

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Summary: High‐resolution FT‐IR spectroscopy has been used for the first time to characterize the variation of the unit cell dimensions of high‐density polyethylene (HDPE). In combination with the unit cell parameters of HDPE measured at different temperatures by Swan using wide‐angle X‐ray diffraction, the relationship between the rocking band shift (730 cm−1) and the change of the unit cell volume of HDPE has been established.High‐resolution variable‐temperature FT‐IR spectra of HDPE rocking bands with decreasing temperature.magnified imageHigh‐resolution variable‐temperature FT‐IR spectra of HDPE rocking bands with decreasing temperature.

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“…31 Furthermore, the morphology (as represented by the helix structure and crystalline content) changes with the time (t), T and P. Many polymers are known to change crystallographic form and/or shrink axially when heated. [32][33][34][35] The XRD, FTIR, and Raman data show that while the crystals shrink in the longitudinal direction, their skeletal length increased with T.…”

Section: Solid State Region At T < T Mmentioning

confidence: 99%

Equations of state for polyamide‐6 and its nanocomposites. 1. Fundamentals and the matrix

Utracki

2008

J Polym Sci B Polym Phys

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The pressure‐volume‐temperature (PVT) surface of polyamide‐6 (PA‐6) was determined in the range of temperature T = 300–600 K and pressure P = 0.1–190 MPa. The data were analyzed separately for the molten and the noncrystalline phase using the Simha‐Somcynsky (S‐S) equation of state (eos) based on the cell‐hole theory. At Tg(P) ≤ T ≤ Tm(P), the “solid” state comprises liquid phase with crystals dispersed in it. The PVT behavior of the latter phase was described using Midha‐Nanda‐Simha‐Jain (MNSJ) eos based on the cell theory. The data fitting to these two theories yielded two sets of the Lennard‐Jones interaction parameters: ε*(S‐S) = 34.0 ± 0.3 and ε*(MNSJ) = 22.8 ± 0.3 kJ/mol, whereas v*(S‐S) = 32.00 ± 0.1 and v*(MNSJ) = 27.9 ± 0.2 mL/mol. The raw PVT data were numerically differentiated to obtain the thermal expansion and compressibility coefficients, α and κ, respectively. At constant P, κ followed the same dependence on both sides of the melting zone near Tm. By contrast, α = α(T) dependencies were dramatically different for the solid and molten phase; at T < Tm, α linearly increased with increasing T, then within the melting zone, its value step‐wise decreased, to slowly increase at higher temperatures. © 2008 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 47: 299–313, 2009

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Thermal expansion of the skeleton of chain molecules in polymer crystals

Cited by 10 publications

References 15 publications

Polymorphism and side group location of ethylene copolymers characterized by FTIR and NMR spectroscopy

Polymorphism and side group location of ethylene copolymers characterized by FTIR and NMR spectroscopy

Investigation of the Variation of Unit Cell Dimensions of Crystalline Polymers with High‐Resolution FT‐IR Spectroscopy

Equations of state for polyamide‐6 and its nanocomposites. 1. Fundamentals and the matrix

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