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The Journal of Physical Chemistry A

Two-Dimensional Analysis of Integrated Three-Pulse Photon Echo Signals of Nile Blue Doped in PMMA

Yutaka Nagasawa, Kazushige Seike, Takayuki Muromoto, Tadashi Okada

Published Mar 14, 2003• 31 citations
Publisher

Abstract

The integrated three-pulse photon echo signal of Nile blue doped in poly(methyl methacrylate) (PMMA) was measured two-dimensionally by varying the first coherence period and the subsequent population period. The electronic dephasing time was in the femtosecond time range even at low temperatures, whereas rephasing and echo formation were still possible even when the population period was extended to >100 ps. Oscillation was present in the echo signal even when population period was extended to longer values than the dephasing time of the vibrational coherence. Echo peak shift measurement indicated a presence of small spectral diffusion in the picosecond time range. A computer simulation was carried out from a model spectral density. The phonon mode of PMMA was represented by a Brownian oscillator centered at ∼116 cm -1, and it reproduced the temperature dependence of the echo signal surprisingly well.

DOI
10.1021/jp027012m

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The integrated three-pulse photon echo signal of Nile blue doped in poly(methyl methacrylate) (PMMA) was measured two-dimensionally by varying the first coherence period and the subsequent population period. The electronic dephasing time was in the femtosecond time range even at low temperatures, whereas rephasing and echo formation were still possible even when the population period was extended to >100 ps. Oscillation was present in the echo signal even when population period was extended to longer values than the dephasing time of the vibrational coherence. Echo peak shift measurement indicated a presence of small spectral diffusion in the picosecond time range. A computer simulation was carried out from a model spectral density. The phonon mode of PMMA was represented by a Brownian oscillator centered at ∼116 cm -1, and it reproduced the temperature dependence of the echo signal surprisingly well.
The temperature-dependent femtosecond dephasing of vibronic lines of a dye, Nile blue, doped in a polymer (polyvinyl alcohol) was studied by using an incoherent-photon-echo technique. It is, to our knowledge, the first detailed study on temperature-dependent dephasing for vibronic lines in a dye-doped polymer system. Photon echoes for the vibronic lines displayed an exponential decay with the dephasing times less than 100 fs, and the temperature dependence of the dephasing was found to follow a power law of T1.5{\mathit{T}}^{1.5}T1.5 in the temperature range from 9.5 to 130 K. By comparing the results with the behavior of the zero-phonon line, we discuss the effect of the interactions with so-called two-level tunneling system and phonons in the polymer host on the femtosecond dephasing of the vibronic lines.
An alternative experimental outline to measure homodyne detected three-pulse photon-echo data is presented. The novel experimental approach allowing for online monitoring and correction of experimental timing and stability is discussed in detail using the paradigm system of Nile blue in alcohol solution. It is shown that excellent signal-to-noise ratios together with high reproducibility of the data can be routinely achieved. We report in detail on the appearance of high-frequency intramolecular vibrations in the two-dimensional three-pulse photon-echo data and suggest that besides the conventionally discussed three-pulse photon-echo peak-shift the width of the integrated echo signal as a function of population time contains identical and easily accessible information on high-frequency intramolecular vibrations. A comparison of experimental data with theoretical modeling is performed showing that the observed echo-width oscillations are in line with predictions of the Brownian oscillator model.
The time-integrated three-pulse photon echo is discussed in terms of the line-shape functions which are shown to be directly related to the solvation dynamics. By using the short-time approximation to the line-shape function, an algebraic form of the three-pulse photon echo signal S PE (τ, T ) is obtained as a function of two delay times, τ and T, between pulses. On the basis of the approximate form of the photon echo signal, the echo peak shift with respect to the second delay time (population evolution period) is derived and found to be linearly proportional to the time-dependent fluorescence Stokes shift function for times greater than the bath correlation time, τ c . In the case of intermediate inhomogeneous broadening, the asymptotic echo peak shift magnitude is found to be useful in estimating the static inhomogeneous width. To illustrate the theoretical results, an analysis of the echo peak shift measurement of IR144 in a room temperature glass, PMMA, is presented.
The long-lived stimulated photon echo is put forward as a powerful technique to probe structural dynamics in glasses and other amorphous solids. We present results of optical dephasing measurements on several doped organic glasses (deuterated ethanol, toluene, and triethylamine) and polymers (polystyrene, polyvinylbutyral, and polymethylmethacrylate). Using a stochastic analysis within the so-called two-level-system model, we can extract from these measurements the distribution function of fluctuation rates over a huge range of time scales, varying from picoseconds to hundreds of milliseconds. We show that the dynamics, which lies at the origin of spectral diffusion, is very dependent on the glass structure and can be described by two separate hyperbolic distribution functions of fluctuation rates. From longitudinal photon echo measurements in the population dimension, we find evidence for structural dynamics which is not accounted for in the standard two-level-system model and which is related to a spatially inhomogeneous distribution of fluctuation centers.
Temperature-dependent (1.2–2.1 K) photon echo measurements have been performed on quinizarin and rhodamine 101 doped into aluminosilica sol-gel glasses as well as rhodamine 101 doped poly-methyl-methacrylate (PMMA) polymer. We observe a temperature-dependent homogeneous linewidth for both quinizarin and rhodamine in the aluminosilica xerogel (ASX) matrix proportional to T2, in contrast to the T1.3±0.1 linewidth dependence typically observed for a variety of organic and inorganic glass hosts in this temperature range (including rhodamine 101 doped PMMA). The contrasting optical dephasing results for the ASX glass and PMMA suggest that the ASX glass may have unique two-level-system dynamics.