Confinement effects on glass transition temperature, transition breadth, and expansivity: Comparison of ellipsometry and fluorescence measurements on polystyrene films. Kim, S., Hewlett, S. A., Roth, C. B., & Torkelson, J. M. European Physical Journal E, 30(1):83--92, September, 2009.
Confinement effects on glass transition temperature, transition breadth, and expansivity: Comparison of ellipsometry and fluorescence measurements on polystyrene films [link]Paper  doi  abstract   bibtex   
Using ellipsometry, we characterized the nanoconfinement effect on the glass transition temperature (T(g)) of supported polystyrene (PS) films employing two methods: the intersection of fits to the temperature (T) dependences of rubbery-and glassy-state thicknesses, and the transition mid-point between rubbery-and glassy-state expansivities. The results demonstrate a strong effect of thickness: T(g) (bulk) - T(g) (23 nm) = 10 degrees C. The T-range needed for accurate measurement increases significantly with decreasing thickness, an effect that arises from the broadening of the transition with confinement and a region below T(g) where expansivity slowly decreases with decreasing T. As determined from expansivities, the T(g) breadth triples in going from bulk films to a 21-nm-thick film; this broadening of the transition may be a more dramatic effect of confinement than the T(g) reduction itself. In contrast, there is little effect of confinement on the rubbery-and glassy-state expansivities. Compared with ellipsometry, T(g)'s from fluorescence agree well in bulk films but yield lower values in nanoconfined films: T(g) (bulk)- T(g) (23 nm) = 15 degrees C via fluorescence. This small difference in the Tg confinement effect reflects differences in how fluorescence and ellipsometry report "average T(g)" with confinement. With decreasing nanoscale thickness, fluorescence may slightly overweight the contribution of the free-surface layer while ellipsometry may evenly weight or underweight its contribution.
@article{ kim_confinement_2009,
  title = {Confinement effects on glass transition temperature, transition breadth, and expansivity: Comparison of ellipsometry and fluorescence measurements on polystyrene films},
  volume = {30},
  issn = {1292-8941},
  shorttitle = {Confinement effects on glass transition temperature, transition breadth, and expansivity: Comparison of ellipsometry and fluorescence measurements on polystyrene films},
  url = {://WOS:000270651500010},
  doi = {10.1140/epje/i2009-10510-y},
  abstract = {Using ellipsometry, we characterized the nanoconfinement effect on the glass transition temperature (T(g)) of supported polystyrene ({PS}) films employing two methods: the intersection of fits to the temperature (T) dependences of rubbery-and glassy-state thicknesses, and the transition mid-point between rubbery-and glassy-state expansivities. The results demonstrate a strong effect of thickness: T(g) (bulk) - T(g) (23 nm) = 10 degrees C. The T-range needed for accurate measurement increases significantly with decreasing thickness, an effect that arises from the broadening of the transition with confinement and a region below T(g) where expansivity slowly decreases with decreasing T. As determined from expansivities, the T(g) breadth triples in going from bulk films to a 21-nm-thick film; this broadening of the transition may be a more dramatic effect of confinement than the T(g) reduction itself. In contrast, there is little effect of confinement on the rubbery-and glassy-state expansivities. Compared with ellipsometry, T(g)'s from fluorescence agree well in bulk films but yield lower values in nanoconfined films: T(g) (bulk)- T(g) (23 nm) = 15 degrees C via fluorescence. This small difference in the Tg confinement effect reflects differences in how fluorescence and ellipsometry report "average T(g)" with confinement. With decreasing nanoscale thickness, fluorescence may slightly overweight the contribution of the free-surface layer while ellipsometry may evenly weight or underweight its contribution.},
  language = {English},
  number = {1},
  journal = {European Physical Journal E},
  author = {Kim, S. and Hewlett, S. A. and Roth, C. B. and Torkelson, J. M.},
  month = {September},
  year = {2009},
  pages = {83--92}
}

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