Elastic constants and dimensions of imprinted polymeric nanolines determined from Brillouin light scattering*

W. L. Johnson, S. A. Kim, R. Geiss, C. M. Flannery, C. L. Soles, C. Wang, C. M. Stafford, W. L. Wu, J. M. Torres, B. D. Vogt, P. R. Heyliger

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Abstract

Elastic constants and cross-sectional dimensions of imprinted nanolines of poly(methyl methacrylate) (PMMA) on silicon substrates are determined nondestructively from finite-element inversion analysis of dispersion curves of hypersonic acoustic modes of these nanolines measured with Brillouin light scattering. The results for the cross-sectional dimensions, under the simplifying assumption of vertical sides and a semicircular top, are found to be consistent with dimensions determined from critical-dimension small-angle x-ray scattering measurements. The elastic constants C11 and C 44 are found to be, respectively, 11.6% and 3.1% lower than their corresponding values for bulk PMMA. This result is consistent with the dimensional dependence of the quasi-static Young's modulus determined from buckling measurements on PMMA films with lower molecular weights. This study provides the first evidence of size-dependent effects on hypersonic elastic properties of polymers.

Original languageEnglish (US)
Article number075703
JournalNanotechnology
Volume21
Issue number7
DOIs
StatePublished - Jan 29 2010

All Science Journal Classification (ASJC) codes

  • Bioengineering
  • Chemistry(all)
  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering
  • Electrical and Electronic Engineering

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    Johnson, W. L., Kim, S. A., Geiss, R., Flannery, C. M., Soles, C. L., Wang, C., Stafford, C. M., Wu, W. L., Torres, J. M., Vogt, B. D., & Heyliger, P. R. (2010). Elastic constants and dimensions of imprinted polymeric nanolines determined from Brillouin light scattering*. Nanotechnology, 21(7), [075703]. https://doi.org/10.1088/0957-4484/21/7/075703