Fractal interpretation of non-Lorentzian persistent hole shapes in organic glasses

Sadao Uemura; Masashi Okada; Kazi Monowar Abedin; Hiroki Nakatsuka

doi:10.1016/0009-2614(92)85122-Q

Fractal interpretation of non-Lorentzian persistent hole shapes in organic glasses

Sadao Uemura^*, Masashi Okada, Kazi Monowar Abedin, Hiroki Nakatsuka

^*Corresponding author for this work

Physics

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

3 Citations (Scopus)

Abstract

Non-Lorentzian persistent hole shapes of chromophore in organic glasses have been explained by considering fractal structures of the organic glass hosts. The measured hole shape is well reproduced by the Fourier transform of the non-exponentially decaying function of τ, exp(-cTτ^D/3), where c is a constant, T is the temperature, and D is the fractal dimension of the glass host. The fractal dimension D obtained by fitting the theoretical curve to the observed hole shape of oxazine 1 in polyvinyl alcohol glass is 2.3 ± 0.1 and that of oxazine 1 in ethanol glass is 2.9 ± 0.1. These values of fractal dimension are in good agreement with the values obtained in our previous experiment in both glass hosts doped with a different chromophore, HITC.

Original language	English
Pages (from-to)	193-196
Number of pages	4
Journal	Chemical Physics Letters
Volume	189
Issue number	2
DOIs	https://doi.org/10.1016/0009-2614(92)85122-Q
Publication status	Published - Jan 31 1992

ASJC Scopus subject areas

Physics and Astronomy(all)
Physical and Theoretical Chemistry

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title = "Fractal interpretation of non-Lorentzian persistent hole shapes in organic glasses",

abstract = "Non-Lorentzian persistent hole shapes of chromophore in organic glasses have been explained by considering fractal structures of the organic glass hosts. The measured hole shape is well reproduced by the Fourier transform of the non-exponentially decaying function of τ, exp(-cTτD/3), where c is a constant, T is the temperature, and D is the fractal dimension of the glass host. The fractal dimension D obtained by fitting the theoretical curve to the observed hole shape of oxazine 1 in polyvinyl alcohol glass is 2.3 ± 0.1 and that of oxazine 1 in ethanol glass is 2.9 ± 0.1. These values of fractal dimension are in good agreement with the values obtained in our previous experiment in both glass hosts doped with a different chromophore, HITC.",

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AU - Uemura, Sadao

AU - Okada, Masashi

AU - Abedin, Kazi Monowar

AU - Nakatsuka, Hiroki

PY - 1992/1/31

Y1 - 1992/1/31

N2 - Non-Lorentzian persistent hole shapes of chromophore in organic glasses have been explained by considering fractal structures of the organic glass hosts. The measured hole shape is well reproduced by the Fourier transform of the non-exponentially decaying function of τ, exp(-cTτD/3), where c is a constant, T is the temperature, and D is the fractal dimension of the glass host. The fractal dimension D obtained by fitting the theoretical curve to the observed hole shape of oxazine 1 in polyvinyl alcohol glass is 2.3 ± 0.1 and that of oxazine 1 in ethanol glass is 2.9 ± 0.1. These values of fractal dimension are in good agreement with the values obtained in our previous experiment in both glass hosts doped with a different chromophore, HITC.

AB - Non-Lorentzian persistent hole shapes of chromophore in organic glasses have been explained by considering fractal structures of the organic glass hosts. The measured hole shape is well reproduced by the Fourier transform of the non-exponentially decaying function of τ, exp(-cTτD/3), where c is a constant, T is the temperature, and D is the fractal dimension of the glass host. The fractal dimension D obtained by fitting the theoretical curve to the observed hole shape of oxazine 1 in polyvinyl alcohol glass is 2.3 ± 0.1 and that of oxazine 1 in ethanol glass is 2.9 ± 0.1. These values of fractal dimension are in good agreement with the values obtained in our previous experiment in both glass hosts doped with a different chromophore, HITC.

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Fractal interpretation of non-Lorentzian persistent hole shapes in organic glasses

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