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Modulus of Elasticity

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Raman Spectroscopy of Conformational Rearrangements at Low Temperatures

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Abstract

From the spectroscopic data accumulated in this work, it is possible to extract important properties of the popular materials polyethylene and polytetrafluoroethylene, namely a limiting value for their elastic moduli or Young moduli.

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Notes

  1. 1.

    To set these quantities in relation, one can think of \(1\,\mathrm{{kg}}\) pulling on a \(1\, \mathrm{{cm}}\times 1\,\mathrm{{cm}}\times 10\,\mathrm{{cm}}\) rectangular rod on the surface of earth with a weight force of \(\approx \) \( 10\, \mathrm{{N}}\), which results in an elongation by \(\approx \) \(0.01\,\mathrm{{mm}}\) for \(E=1\,\mathrm{{GPa}}\). About \( 200\,\mathrm{{kg}}\) would be needed to elongate a steel-rod by \( 0.01\,\mathrm{{mm}}\), or \( 70\,\mathrm{{kg}}\) in case of an aluminum-rod.

  2. 2.

    The quantum chemical separation is obtained from the slope of a plot of the chain length versus the end-to-end distance, as depicted in Appendix A.7, Figs. A.12 and A.13.

  3. 3.

    Calculated using Eq. 6.3 with \(M(\mathrm{{CF}}_2)=50.0\,\mathrm{{g\,mol}}^{-1}\).

  4. 4.

    \(k = \mu \,(2\,\pi \,c\,\tilde{\nu })^2\); \(f\approx k \times 0.153\,\mathrm{{pm}}\times 1{\,\%}\).

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  1. Institute for Physical Chemistry, Georg August University, Göttingen, Germany

    Nils Olaf Bernd Lüttschwager

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Lüttschwager, N.O.B. (2014). Modulus of Elasticity. In: Raman Spectroscopy of Conformational Rearrangements at Low Temperatures. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-08566-1_6

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