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  • 1
    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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  • 2
    ISSN: 1520-5835
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 3
    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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  • 4
    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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