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  • exponential decay  (3)
  • β-cyclodextrin  (3)
  • Springer  (6)
  • 1
    Electronic Resource
    Electronic Resource
    Photochemically induced fluorescence investigation of aβ-cyclodextrin: Azure A inclusion complex and determination of analytical parameters (1995)
    Springer
    Journal of inclusion phenomena and macrocyclic chemistry 22 (1995), S. 235-247 
    Details
    ISSN: 1573-1111
    Keywords: Azure A ; β-cyclodextrin ; inclusion complex ; photochemically induced fluorescence spectroscopy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The photooxidation of Azure A and fluorescence properties of Azure A and its photoproduct have been investigated in aqueous media and in the presence ofβ-cyclodextrin (β-CD). The fluorescence intensity of the complex formed between the photoproduct and β-CD was found to be three times higher than that of the uncomplexed Azure A photoproduct. A complex formation constant of 110±40 M−1 was calculated using the Benesi-Hildebrand treatment of the fluorescence emission data. Although the stoichiometry of the Azure A photoproduct: β-CD complex was found to be 1: 1, it seems that the Azure A structure is only partially included. Calibration graphs were plotted for the free Azure A photoproduct and the photogenerated product included in β-CD. The analytical parameters and quantification limits were determined.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00707086
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  • 2
    Electronic Resource
    Electronic Resource
    Basic studies of the influence ofβ-cyclodextrin and 2-hydroxypropylβ-cyclodextrin on the photo-oxidation reaction of phenothiazine in inclusion complexes, using fluorescence detection (1994)
    Springer
    Journal of inclusion phenomena and macrocyclic chemistry 18 (1994), S. 69-79 
    Details
    ISSN: 1573-1111
    Keywords: β-cyclodextrin ; 2-hydroxypropyl β-CD ; phenothiazine ; photochemically-induced fluorescence spectroscopy ; molecular absorption spectroscopy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The photo-oxidation reaction of phenothiazine has been studied in the presence ofβ-cyclodextrin (β-CD) and 2-hydroxypropylβ-cyclodextrin (HP β-CD). The influence of these organized media on the formation of the oxidation photoproduct upon UV irradiation has been investigated. Phenothiazine forms an inclusion complex with the cyclodextrins. The stoichiometry and formation constant of the complex formed with 2-hydroxypropyl β-CD have been calculated using the changes of the fluorescence emission signal and of the absorbance of the drug upon inclusion. An increase of the fluorescence intensity of the photogenerated product is attained when it becomes included inside the cyclodextrin cavity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00706940
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  • 3
    Electronic Resource
    Electronic Resource
    Spectral characterization ofβ-Cyclodextrin : Triton X-100 complexes (1991)
    Springer
    Journal of inclusion phenomena and macrocyclic chemistry 10 (1991), S. 471-484 
    Details
    ISSN: 1573-1111
    Keywords: β-cyclodextrin ; Triton X-100 ; cyclodextrin inclusion ; fluorescence spectroscopy ; nuclear magnetic resonance spectroscopy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The spectral characteristics of the surfactant, Triton X-100, in the absence and presence ofβ-cyclodextrin have been examined. The fluorescence of Triton X-100 is concentration dependent and is markedly enhanced in the presence ofβ-cyclodextrin. Analysis of the variations in the excitation-emission profiles of the surfactant with concentration suggests excimer emission at concentrations above the critical micelle concentration (CMC). Nuclear magnetic resonance (NMR) spectroscopy suggests that the phenyl group is included inside the CD cavity while a portion of the ethylene oxide chain extends outside the cavity. Benesi-Hildebrand type equations were derived to determine the stoichiometry and to estimate the formation constant of the CD: Sf complex.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01061077
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  • 4
    Electronic Resource
    Electronic Resource
    Decay rates for viscoelastic plates with memory (1996)
    Springer
    Journal of elasticity 44 (1996), S. 61-87 
    Details
    ISSN: 1573-2681
    Keywords: 35B40 ; 35L05 ; 35L70 ; viscoelasticity ; exponential decay ; initial boundary value problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract We consider the viscoelastic plate equation and we prove that the first and second order energies associated with its solution decay exponentially provided the kernel of the convolution also decays exponentially. When the kernel decays polynomially then the energy also decays polynomially. More precisely if the kernel g satisfies g(t) ⩽ -c0g(t)1+1/p and g,g1+1/p ∈ L1(ℝ) with p 〉 2, then the energy decays as 1/(1+t)p.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00042192
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  • 5
    Electronic Resource
    Electronic Resource
    The Transmission Problem of Viscoelastic Waves (2000)
    Springer
    Acta applicandae mathematicae 62 (2000), S. 1-21 
    Details
    ISSN: 1572-9036
    Keywords: transmission problem ; exponential decay ; partially viscoelastic ; materials with memory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper we consider the transmission problem of viscoelastic waves. That is, we study the wave propagations over materials consisting of elastic and viscoelastic components. We show that for this types of materials the dissipation produced by the viscoelastic part is strong enough to produce exponential decay of the solution, no matter how small is its size. We also show that the linear model is well posed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006449032100
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  • 6
    Electronic Resource
    Electronic Resource
    Uniform Rates of Decay in Anisotropic Thermo-Viscoelasticity (1998)
    Springer
    Acta applicandae mathematicae 50 (1998), S. 207-224 
    Details
    ISSN: 1572-9036
    Keywords: viscoelasticity ; exponential decay ; initial boundary-value problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider the anisotropic and inhomogeneous thermo-viscoelastic equation. We prove that the first and second-order energy decay exponentially as time goes to infinity provided the relaxation function also decays exponentially to zero. While if the relaxation functions decay polynomially to zero, then the energy decays also polynomially. That is, the kernel of the convolution defines the rate of decay of the solution.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1005830811242
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