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2 in supercritical rare gases recently published by the Zewail group listed below. All of their experiments lie far from the critical temperatures of the gases so that little information on density augmentation can be obtained these studies. Lienau, C.; Zewail, A. H. J. Phys. Chem. 1996, 100, 18629. Materny, A.; Lienau, C.; Zewail, A. H. J. Phys. Chem. 1996, 100, 18650. Liu, Q.; Wan, C.; Zewail, A. H. J. Phys. Chem. 1996, 100, 18666.
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We do not discuss studies of rotational dynamics of pure supercritical fluids. However, the recent paper by Okazaki, S.; Matsumoto, M.; Okada, I. J. Chem. Phys. 1995, 103, 8594, and the early work, Zerda, T. W.; Schroeder, J.; Jonas, J. J. Chem. Phys. 1981, 75, 1612, are two noteworthy examples of such studies.
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We do not discuss studies of rotational dynamics of pure supercritical fluids. However, the recent paper by Okazaki, S.; Matsumoto, M.; Okada, I. J. Chem. Phys. 1995, 103, 8594, and the early work, Zerda, T. W.; Schroeder, J.; Jonas, J. J. Chem. Phys. 1981, 75, 1612, are two noteworthy examples of such studies.
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A "repulsive" mixture is one in which a local density depletion is expected near the critical point. See for example: Debenedetti, P. G.; Mohamed, R. S. J. Chem. Phys. 1989, 90, 4528. Petsche, I. B.; Debenedetti, P. G. J. Chem. Phys. 1989, 91, 7075.
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A "repulsive" mixture is one in which a local density depletion is expected near the critical point. See for example: Debenedetti, P. G.; Mohamed, R. S. J. Chem. Phys. 1989, 90, 4528. Petsche, I. B.; Debenedetti, P. G. J. Chem. Phys. 1989, 91, 7075.
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5744249689
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note
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For example, we have measured the rotation time of PRODAN in acetone to be ∼30 ps.
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5744240560
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note
-
The equation proposed by Vesovic et al. includes a term for enhancement of viscosity in the critical region. We have omitted this term in our calculations due to the complexity of solving the associated equations, but find that there is, at worst, only a few percent difference in calculated viscosities at the conditions used herein.
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5744235405
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Least-squares minimization is performed using a modified Levenberg-Marquardt algorithm based on the "ZXSSQ" subroutine (IMSL, Inc., 1976).
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note
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-1. Evidently there is some part of the spectral shift of this molecule that is sensitive to the nuclear polarizability of the solvent.
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94
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85088231557
-
-
note
-
-1 in Figure 6 result from such window emission.
-
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95
-
-
5744231835
-
-
note
-
The form we employ for the B term is nonstandard. It results from assuming that this "solvent Stark effect" is proportional to the magnitude of the solvent-induced mean squared electric field within the solute "cavity". Previous treatments use various complicated derivations of the magnitude expected for such fluctuations. However, within the context of a linear response formalism, the squared fluctuations in the field should be simply proportional to the reaction field that would be present if the solute were dipolar. Thus, for the solvent dependence of this term we use the standard reaction field applicable a polarizable solute.
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96
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0000047267
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and references therein
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5744224085
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note
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2 densities available for comparison, our lifetimes are roughly 8 and 13% smaller than those plotted in Figure 4 of ref 44, which might be caused by the presence of a trace amount of oxygen quenching, whose effect on the lifetime might be (slightly) density dependent.
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For a discussion on the effects of a cluster environment on radiative rates see: Shalev, E.; Ben-Horin, N.; Jortner, J. J. Chem. Phys. 1991, 94, 7757. Gersten, J.; Nitzan, A. J. Chem. Phys. 1991, 95, 686.
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5744246711
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note
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Actually, for the asymmetric rotors studied here the stick predictions do not correspond to exact monoexponential behavior, but rather to biexponential r(t). However, the time constants are in all cases similar enough so as to be indistinguishable from a monoexponential in experiment. In the case of slip boundary conditions, TPP, since it is modeled as a symmetric oblate top, is calculated to have a biexponential r(t) with one time constant being zero (clearly an unphysical result).
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See Figure 9 of ref 68 and the discussion surrounding it.
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5744242132
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In the case of rotation times and spectral shifts, this relationship is indirect. The F(ρ) functions here entail intermediate connections to the solvent viscosity or refractive index, the latter which can be expressed as simple functions of solvent density.
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117
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5744234903
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note
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eff.
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118
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0001627734
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39 We would favor the former interpretation. In any case, the differences between the conclusions reached in ref 39 and in our analysis of the same data illustrate the difficulty of attempting to quantifying local density augmentation. A thorough understanding of the behavior in the absence of augmentation must be available either from empirical or theoretical considerations in order to accurately determine the magnitude of the deviations that provide augmentation estimates. In many cases our understanding is only partial so as to provide a wide margin of expected behaviors, which in turn lead to large uncertainties in local density estimates.
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Lakowicz, J. R., Ed.; Plenum: New York
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These two methods are reviewed in the two articles by J. R. Lakowicz and I. Gryczynski and D. J. S. Birch and R. E. Imhof in the book: Topics in Fluorescence Spectroscopy, Vol. 1: Techniques; Lakowicz, J. R., Ed.; Plenum: New York, 1991.
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Maroncelli, M. Unpublished results.
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Maroncelli, M.1
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5744253883
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Collaborative work planned with Frank Bright
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Collaborative work planned with Frank Bright.
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See, for example the lucid discussion in: Randolph, T. W.; O-Brien, J. A.; Ganapathy, S. J. Phys. Chem. 1994, 98, 4173.
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