DOI: 10.1063/1.2768955. Heterogeneous dynamics and dynamic heterogeneities at the glass transition probed with single molecule spectroscopy

Heterogeneous dynamics and dynamic heterogeneities at the glass transition probed with single molecule spectroscopy

10.1063/1.2768955

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

We studied the temperature dependence of the structural relaxation in poly(vinyl acetate) near the glass transition temperature with single molecule spectroscopy from Tg−1K to Tg+12K. The temperature dependence of the observed relaxation times matches results from bulk experiments; the observed relaxation times are, however, 80-fold slower than those from bulk experiments at the same temperature. We attribute this factor to the size of the probe molecule. The individual relaxation times of the single molecule environments are distributed normally on a logarithmic time scale, confirming that the dynamics in poly(vinyl acetate) is heterogeneous. The width of the distribution of individual relaxation times is essentially independent of temperature. The observed full width at half maximum (FWHM) on a logarithmic time axis is approximately 0.7, corresponding to a factor of about 5-fold, significantly narrower than the dielectric spectrum of the same material with a FWHM of about 2.0 on a logarithmic time axis, corresponding to a factor of about 100-fold. We explain this narrow width as the effect of temporal averaging of single molecule fluorescence signals over numerous environments due to a limited lifetime of the probed heterogeneities, indicating that heterogeneities are dynamic. We determine a loose upper limit for the ratio of the structural relaxation time to the lifetime of the heterogeneities (the rate memory parameter) of Q&lt;80 for the range of investigated temperatures.

Bibliography

Adhikari, A. N., Capurso, N. A., & Bingemann, D. (2007). Heterogeneous dynamics and dynamic heterogeneities at the glass transition probed with single molecule spectroscopy. The Journal of Chemical Physics, 127(11).

Authors 3

Aashish N. Adhikari (first)
Noah A. Capurso (additional)
Dieter Bingemann (additional)

References 71 Referenced 47

{'edition': '2nd', 'volume-title': 'An Introduction to Plastics', 'year': '2003', 'key': '2023063020394000100_c1'} / An Introduction to Plastics (2003)
10.1126/science.267.5204.1615-e / Science (1995)
10.1088/0953-8984/14/23/201 / J. Phys.: Condens. Matter (2002)
10.1016/S0022-3093(98)00831-X / J. Non-Cryst. Solids (1999)
10.1146/annurev.physchem.51.1.99 / Annu. Rev. Phys. Chem. (2000)
10.1021/jp953538d / J. Phys. Chem. (1996)
10.1021/jp9713219 / J. Phys. Chem. B (1997)
10.1103/PhysRevLett.66.3020 / Phys. Rev. Lett. (1991)
10.1103/PhysRevLett.81.2727 / Phys. Rev. Lett. (1998)
10.1063/1.470551 / J. Chem. Phys. (1995)
10.1103/PhysRevLett.81.1461 / Phys. Rev. Lett. (1998)
10.1038/35047037 / Nature (London) (2000)
10.1021/jp025843m / J. Phys. Chem. B (2002)
10.1063/1.1696442 / J. Chem. Phys. (1965)
10.1103/PhysRevE.66.030101 / Phys. Rev. E (2002)
10.1063/1.1605094 / J. Chem. Phys. (2003)
10.1088/0953-8984/15/31/318 / J. Phys.: Condens. Matter (2003)
10.1103/PhysRevE.72.041106 / Phys. Rev. E (2005)
10.1103/PhysRevE.61.1783 / Phys. Rev. E (2000)
10.1063/1.2001629 / J. Chem. Phys. (2005)
10.1073/pnas.0504820102 / Proc. Natl. Acad. Sci. U.S.A. (2005)
10.1103/PhysRevLett.89.035704 / Phys. Rev. Lett. (2002)
10.1063/1.1644539 / J. Chem. Phys. (2004)
10.1103/PhysRevE.56.730 / Phys. Rev. E (1997)
10.1103/PhysRevE.56.741 / Phys. Rev. E (1997)
10.1103/PhysRevLett.75.2851 / Phys. Rev. Lett. (1995)
10.1021/jp984149x / J. Phys. Chem. B (1999)
10.1146/annurev.physchem.49.1.441 / Annu. Rev. Phys. Chem. (1998)
10.1021/ja031599g / J. Am. Chem. Soc. (2004)
10.1103/PhysRevLett.91.038301 / Phys. Rev. Lett. (2003)
10.1063/1.1861881 / J. Chem. Phys. (2005)
10.1126/science.282.5395.1877 / Science (1998)
{'volume-title': 'Principles of Nonlinear Optical Spectroscopy', 'year': '1995', 'key': '2023063020394000100_c33'} / Principles of Nonlinear Optical Spectroscopy (1995)
10.1021/cr00007a002 / Chem. Rev. (Washington, D.C.) (1991)
10.1016/S0378-4371(00)00451-9 / Physica A (2000)
10.1016/S0301-0104(02)00542-6 / Chem. Phys. (2002)
10.1016/j.cplett.2003.11.086 / Chem. Phys. Lett. (2004)
{'edition': '84th ed.', 'volume-title': 'CRC Handbook of Chemistry and Physics', 'year': '2003', 'key': '2023063020394000100_c38'} / CRC Handbook of Chemistry and Physics (2003)
{'volume-title': 'Handbook of Single Molecule Fluorescence Spectroscopy', 'year': '2006', 'key': '2023063020394000100_c39'} / Handbook of Single Molecule Fluorescence Spectroscopy (2006)
{'edition': '3rd ed.', 'volume-title': 'Principles of Fluorescence Spectroscopy', 'year': '2006', 'key': '2023063020394000100_c40'} / Principles of Fluorescence Spectroscopy (2006)
10.1364/OL.26.000211 / Opt. Lett. (2001)
10.1146/annurev.physchem.48.1.181 / Annu. Rev. Phys. Chem. (1997)
{'key': '2023063020394000100_c43', 'first-page': '263', 'volume': '76–77', 'year': '1998', 'journal-title': 'J. Lumin.'} / J. Lumin. (1998)
10.1016/S0009-2614(03)00379-8 / Chem. Phys. Lett. (2003)
10.1088/0953-8984/8/21/007 / J. Phys.: Condens. Matter (1996)
10.1103/PhysRevLett.89.026101 / Phys. Rev. Lett. (2002)
10.1103/PhysRevE.67.030501 / Phys. Rev. E (2003)
10.1103/PhysRevE.67.031506 / Phys. Rev. E (2003)
10.1063/1.1521154 / J. Chem. Phys. (2002)
10.1016/S0301-0104(02)00672-9 / Chem. Phys. (2002)
10.1016/j.cplett.2006.11.046 / Chem. Phys. Lett. (2006)
{'edition': '2nd ed.', 'volume-title': 'Numerical Recipes in C++: The Art of Scientific Computing', 'year': '2002', 'key': '2023063020394000100_c52'} / Numerical Recipes in C++: The Art of Scientific Computing (2002)
10.1016/S0032-3861(96)00524-1 / Polymer (1997)
10.1063/1.2191491 / J. Chem. Phys. (2006)
10.1063/1.2084949 / J. Chem. Phys. (2005)
10.1063/1.1319174 / J. Chem. Phys. (2000)
10.1021/jp9622041 / J. Phys. Chem. (1996)
10.1063/1.469425 / J. Chem. Phys. (1995)
10.1016/S0079-6700(00)00025-3 / Prog. Polym. Sci. (2000)
10.1088/0953-8984/11/10A/008 / J. Phys.: Condens. Matter (1999)
{'key': '2023063020394000100_c61', 'first-page': 'IV', 'volume-title': 'Polymer Handbook', 'author': 'Brandrup', 'year': '1975'} / Polymer Handbook by Brandrup (1975)
10.1016/S0022-3093(98)00581-X / J. Non-Cryst. Solids (1998)
10.1016/j.eurpolymj.2004.01.016 / Eur. Polym. J. (2004)
10.1063/1.1861881 / J. Chem. Phys. (2005)
{'edition': '3rd ed.', 'volume-title': 'Viscoelastic Properties of Polymers', 'year': '1980', 'key': '2023063020394000100_c65'} / Viscoelastic Properties of Polymers (1980)
10.1103/PhysRevLett.86.1271 / Phys. Rev. Lett. (2001)
10.1063/1.2434969 / J. Chem. Phys. (2007)
10.1063/1.481319 / J. Chem. Phys. (2000)
10.1063/1.1563599 / J. Chem. Phys. (2003)
10.1063/1.1369160 / J. Chem. Phys. (2001)
10.1021/jp068619w / J. Phys. Chem. B (2007)

Dates

Type	When
Created	17 years, 11 months ago (Sept. 21, 2007, 6:02 p.m.)
Deposited	2 years, 1 month ago (June 30, 2023, 4:40 p.m.)
Indexed	3 weeks, 3 days ago (July 30, 2025, 6:49 a.m.)
Issued	17 years, 11 months ago (Sept. 20, 2007)
Published	17 years, 11 months ago (Sept. 20, 2007)
Published Online	17 years, 11 months ago (Sept. 20, 2007)
Published Print	17 years, 11 months ago (Sept. 21, 2007)

Funders 0

None

BibTeX

@article{Adhikari_2007, title={Heterogeneous dynamics and dynamic heterogeneities at the glass transition probed with single molecule spectroscopy}, volume={127}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.2768955}, DOI={10.1063/1.2768955}, number={11}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Adhikari, Aashish N. and Capurso, Noah A. and Bingemann, Dieter}, year={2007}, month=sep }

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      "first-page": "6323",
      "DOI": "10.1021/jp9713219",
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