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

doi:10.1088/0957-4484/21/7/075703

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

Chemical Engineering

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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 language	English (US)
Article number	075703
Journal	Nanotechnology
Volume	21
Issue number	7
DOIs	https://doi.org/10.1088/0957-4484/21/7/075703
State	Published - 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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10.1088/0957-4484/21/7/075703

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@article{f3251805d50648028d2f66188551a045,

title = "Elastic constants and dimensions of imprinted polymeric nanolines determined from Brillouin light scattering*",

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.",

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

year = "2010",

doi = "10.1088/0957-4484/21/7/075703",

language = "English (US)",

volume = "21",

journal = "Nanotechnology",

issn = "0957-4484",

publisher = "IOP Publishing Ltd.",

number = "7",

}

TY - JOUR

T1 - Elastic constants and dimensions of imprinted polymeric nanolines determined from Brillouin light scattering*

AU - Johnson, W. L.

AU - Kim, S. A.

AU - Geiss, R.

AU - Flannery, C. M.

AU - Soles, C. L.

AU - Wang, C.

AU - Stafford, C. M.

AU - Wu, W. L.

AU - Torres, J. M.

AU - Vogt, B. D.

AU - Heyliger, P. R.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

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U2 - 10.1088/0957-4484/21/7/075703

DO - 10.1088/0957-4484/21/7/075703

M3 - Article

C2 - 20081293

AN - SCOPUS:74949103946

SN - 0957-4484

VL - 21

JO - Nanotechnology

JF - Nanotechnology

IS - 7

M1 - 075703

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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