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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 3744-3761 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: An ensemble of distributed donor molecules that undergoes rotational transitions into a discrete excimer state has been analyzed, in an attempt to model distributed electronic relaxation and nonexponential fluorescence of aromatic polymers in presence of rotational sampling processes. In case of irreversible trapping, the donor survival function has been formulated in terms of the one-sided Laplace transform and specified for a modified Gaussian distribution to yield a closed-form expression for the donor decay. The formalism permits a time-dependent rate function to be derived that makes possible the construction of the excimer excitation function by means of the convolution theorem. In case of reversible constraints, a generalized treatment based upon time-dependent transition and transform matrices has been given which applies a perturbation technique for approximately solving the system of nonautonomous differential equations in the time domain. In the limit of weak coupling, the method develops approximate Mth order expressions (M=2,4,6, and 8) to the fluorescence response functions of donor and excimer. The perturbational solutions are well behaved up to relatively long time scales and they prove useful for providing the typical nonexponential time behavior of such a system affected by dispersion and dissociation. The physical restriction of this mathematical analysis (weak reversibility) has been addressed and the implications of distributed event times in future analyses of polymer fluorescence have been discussed.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 97 (1992), S. 4380-4397 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The single-step energy transfer between randomly distributed donors and acceptors has been analyzed in the presence of static site-energy disorder. Exact expressions for the donor survival probability have been formulated with jump-frequencies that depend on both spatial and energy-coordinates. By using the factorization approximation and the continuum limit the procedure yields, for multipolar interaction, approximate, closed-form solutions of the Kohlrausch–Williams–Watts (KWW) functional form with a generalized energy-function λε (approximately-greater-than) 1, which influences the time-scale of the KWW-decay but does not affect the exponent α. For dipolar coupling and 3D transfer (α=1/2), both the energy-specific f(t;ε) and the energy-averaged donor relaxation 〈 f 〉 (t) have been Laplace inverted to yield the distributions of transition frequencies cursive-phi1/2(ν;ε) and Φ1/2(ν), respectively. The analysis of λε containing the energy-dependence of transition frequencies and the energetic spread of sites has been performed on the premises of a balance-equation for uphill processes and a Gaussian density-of-states function for the site-energy fluctuation. This allows the time and frequency-domain analogs of donor relaxation to be discussed as a function of the initial energy of excitation ε, the energetic width of fluctuating sites σ, and the energy gap δε¯ between the mean values of donor and acceptor distribution. The functional dependences of energy-specific responses, i.e., the characteristic deceleration of the KWW-profiles and the log frequency-shift of the corresponding frequency spectra as well as the pronounced deviation that may occur for broad-band excitation have been investigated in detail. Finally, the circumstances under which such relaxations are leading to the ordinary KWW-law (λε = 1) have been discussed by considering the exact limiting procedures.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The transient fluorescence profiles of 1,3-di(N-carbazolyl)-propane, DCP, were reinvestigated as a function of temperature in toluene as solvent. Typically three-exponential patterns, both for the low-energy, red edge fluorescence of the excimer FE(t) and, in part, for the monomer fluorescence FM(t) were observed in the moderate temperature range −15≤t/°C≤55, whereas at temperatures t/ °C〉55 profiles were found to be approximately biexponential, within the limitations of time resolution. On the premises given in Sec. IV of this work, data were analyzed in terms of a discrete three-state model which assumes two monomeric conformers (X1=tt, X2=tg±) and a single excimer-forming conformation (X3=g(minus-plus)g±) interconverting in an open, linear scheme. Starting from a generalized treatment of n-particle interaction, the analytical δ-pulse solutions to the fluorescence evolutions X1(t), X2(t), and X3(t) were formulated in terms of 18 amplitudes Aij(k) (i, j=1,2,3) and 3 eigenvalues τj =−1/Tj ( j=1,2,3) for two different, initial boundaries (k=1,2). For reasonable choices of fluorescence rate constants, the simulated parameters proved useful (a) to recover satisfactorily the experimental subnanosecond (T1) and nanosecond time constants (T2,T3), (b) to rationalize the biexponential rise of excimer fluorescence at moderate temperatures, and (c) to explain the pseudo-Birks behavior in the high-temperature regime. Results from both experiments and computation allow to specify the time scales of rotating carbazole chromophores, and they strongly indicate that the rapid conformational equilibrium hypothesis is not valid in DCP. The limitations of the minimal model have been addressed and the potential problem encountered in analyzing the data by a discrete set of multiexponentials has been discussed.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 112 (2000), S. 3938-3941 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The room temperature photoinduced fluorescence decay of isolated trans-stilbene and trans-stilbene in the presence of 1 atm of Ar gas was measured as a function of the excitation laser frequency. Lifetimes were measured both to the blue and the red of the ground vibrational state of the ground electronic state (S0) to the ground vibrational state of the S1 state transition frequency ω00. The lifetime was found to decrease on both sides of ω00. The dependence of the decay rate on laser frequency in the presence of Ar gas is much weaker than for the isolated molecule. Both observations corroborate previous theoretical predictions of laser cooling of thermal trans-stilbene upon excitation at the ω00 frequency. The experimental results are in good agreement with theoretical analysis. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 5
    ISSN: 1520-5835
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Macromolecules 27 (1994), S. 5129-5140 
    ISSN: 1520-5835
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 7
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A deterministic kinetic analysis has been presented in an attempt to model the δ-pulse dynamics of a monomer–excimer pair in presence of energy migration and detrapping. Because of the reversibility of the system and the formal treatment of excitation energy transport by means of a time-dependent rate function k(t), the linear first order equations of evolution are coupled and consist of nonautonomous coefficients. The formalism involves a linear, affine transform technique for decoupling the simultaneous rate equations. This procedure leads to nonlinear, but decoupled first-order Riccati equations which have been further transformed to yield a second-order differential equation with time-dependent coefficients. For k(t)=b+Ct−1/2, the present study develops approximate WKB solutions to the transient δ-pulse response behavior of the system under the condition of weak coupling. The limitation of this approach have been tested towards numerical computer results. The WKB solutions are well behaved at relatively long times and, thus, prove useful for providing the typical asymptotic behavior of a polychromophoric monomer–excimer system in which transport and trapping will proceed via a quasi-one-dimensional pathway. The physics of this treatment has been discussed on the basis of energy-dispersive hopping processes along the chromophor array of aromatic polymer with typical, diagonal disorder. The analytical solutions, however, might have more general significance, presumably, with respect to forthcoming, subnanosecond reconvolution procedures in the transient fluoresence analysis of dilute aromatic vinylpolymers.
    Type of Medium: Electronic Resource
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  • 8
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The theoretical concept of nonexponential electronic S1 energy relaxation in nonrandom, polychromophoric polymers has been tested experimentally by means of picosecond time-resolved fluorescence spectroscopy. For the low-energy, sandwich-type excimer E2 of poly-(N-vinylcarbazole), p-N-VCz, in dilute liquid solution the fluorescence rise-profile FE2(t), collected at λem =460 nm, has been analyzed in terms of nonconventional relaxation kinetics. A time-dependent trapping function, k(t)=b+ct−1/2, which reflects both the "effective'' diagonal disorder and the pronounced low dimensionality of carbazole hopping sites in the fluid regime has been used in a first attempt to model migrational sampling in a sequence of excited-state relaxation processes. The kinetic scheme consists of a distribution of transport states {X1}, a small ensemble of energy-relaxed monomeric chromophores X2, and a discrete state of the mobile excimer X3 (E2) coupled to X2. Exact solutions to the δ-pulse response behavior {X1}, X2, and X3, respectively, can be found which contain typically nonexponential terms of the form of time-dependent pre-exponentials Aij(t). The functional forms of Aij(t) as well as their relevancy to picosecond and nanosecond time scales have been demonstrated by synthetic data simulation. The excimer δ-pulse trial function based upon this scheme has been shown to recover satisfactorily the experimental data. The limitations of the model, the uncertainties of rise curve analysis, in general, and the main problems encountered in rationalizing excited state transport and trapping parameters in the presence of rotational sampling have been discussed.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Monatshefte für Chemie 108 (1977), S. 133-139 
    ISSN: 1434-4475
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Stirring vinyl acetate—(1 Mol%) divinyl adipate mixtures during polymerization influences the gel formation. Popcornpolymer polymerization influences the gel formation. Popcorn-polymer formation is highly favored. To the contrary the growth of popcorn polymer particles in the stirred system is slowed down. An explanation of this behavior is offered.
    Type of Medium: Electronic Resource
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  • 10
    ISSN: 1573-4994
    Keywords: Dityrosine ; excited-state reaction ; distributional analysis ; fluorescence anisotropy decay
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We have investigated the time-resolved fluorescence properties ofll-dityrosine in aqueous solution. Typically, three exponential components were needed to fit the fluorescence pattern adequately, with pure decay terms for the low-intensity, high-energy state (λem = nm) but with a pronounced subnanosecond rise phase for the predominant red-edge fluorescence (λem 〉 380). Dual fluorescence behavior is indicative of an intramolecular precursorsuccessor pair, i.e., a consecutive intramolecular excited-state reaction. We suggest that this reaction is a torsional motion of the (deprotonated) monoanion along the biphenolic bond. Analysis of the fluorescence anisotropy decay of dityrosine yielded two rotational correlation times, the longer of which is associated with a negative preexponential term. The increase with time in the horizontally polarized component of the intensity decay is interpreted as the result of an electronic rearrangement in the excited state when the successor form of dityrosine is generated. Lifetime distributions of experimental data were probed by an unbiased exponential series method which uses a Tikhonov-type regularization function. The procedure revealed three well-separated groups of lifetimes, the short-lived ensemble forming a formally negative distribution. A photophysical model is introduced which interprets the biexponential decay of dityrosine in terms of overlapping emission signals from the precursor and the successor molecule.
    Type of Medium: Electronic Resource
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