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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 105 (1996), S. 5138-5144 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A derivation is presented for the fraction of material transformed as a function of time, X(t), for one-dimensional phase transformations which occur via continuous nucleation and growth and which produce anisotropic particles. This derivation, which accounts for shielding effects and does not assume site saturation, is the first such derivation given for this type of problem. The analytical formulas which are found are evaluated in an approximate fashion for two different values of growth rate anisotropy. The results are compared with numerical simulations, and it is shown that the expressions derived are highly accurate. © 1996 American Institute of Physics.
    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 103 (1995), S. 3742-3746 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A derivation is presented for X(t), the transformed fraction as a function of time, in a phase transformation process which produces randomly oriented anisotropic particles. The key novel element in the development and results is the inclusion of blocking (shielding) effects. The derivation is performed for a 2D system in which symmetrical particles of arbitrary shape are formed. In addition, approximate calculations are performed for X(t) for the case of elliptical particles in order to estimate the influence of growth rate anisotropy upon the magnitude of the blocking effects. © 1995 American Institute of Physics.
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 102 (1995), S. 1463-1463 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 73 (1993), S. 7760-7766 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Ultraviolet optical absorptions of semiconducting copper phosphate glasses with batch compositions of 40%, 50%, and 55% CuO have been examined as a function of [Cu2+]/[Cutotal] in the glasses. The optical energy gap, Eopt, obtained from the fundamental absorption edge depends upon both glass composition and the ratio [Cu2+]/[Cutotal] in the glass. Eopt increases as CuO content and [Cu2+]/[Cutotal] in the glass are raised. This trend is explained by speculating upon the energy band structure of copper phosphate glass. However, the Urbach energy, ΔE, obtained from the tail of the optical absorption edge is affected solely by [Cu2+]/[Cutotal] in the glass. An absorption band of Cu1+ (in its crystal field) occurs in the vicinity of the absorption tail and is responsible for the increase of ΔE with reducing [Cu2+]/[Cutotal] in the glass.
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 92 (1990), S. 7515-7519 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The influence on the overall heterogeneous nucleation rate of multiple nucleation events on impurity particles is investigated. A simple model based upon coupled consecutive chemical reactions is used to describe the time dependence of the heterogeneous nucleation rate. Also, the kinetics are illustrated for a particular example in which the intrinsic nucleation probability is assumed to vary inversely with the impurity particle occupancy.
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 96 (1992), S. 9144-9146 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The effects of the finite size of impurities upon the heterogeneous nucleation rate is examined. Simple arguments based upon probability theory are used to find the relative nucleation rate, p( j), on particles containing j nuclei. The expression for p( j) is used in turn to compute the overall nucleation rate and average number of nuclei on an impurity as a function of time.
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  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 95 (1991), S. 9148-9150 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: In the asymptotic limit of a high nucleation barrier we obtain the heterogeneous-to-homogeneous induction time ratio as a function of the contact angle. The result is in excellent agreement with the data of numerical simulations by Greer et al. [J. Cryst. Growth 99, 38 (1990)]. An expression to describe individual (nonreduced) induction times is also obtained.
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  • 8
    Electronic Resource
    Electronic Resource
    Westerville, Ohio : American Ceramics Society
    Journal of the American Ceramic Society 84 (2001), S. 0 
    ISSN: 1551-2916
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: The effect of the oxidation state of iron on the phase separation of xNa2O·(100 –x)SiO2 glasses, x= 18.56 and 13, containing 0.5 mol% Fe2O3 was studied. The oxidation state of iron in the glasses was varied by changing the melting conditions, such as melting temperature and melting atmosphere. The oxidation states of the iron ion were determined using colorimetric and UV–VIS–NIR spectrophotometric methods, and a comparison was made between the results obtained using these two methods. Immiscibility temperatures of the glasses were determined using opalescence and clearing methods. The immiscibility temperature of the sodium silicate binary glasses decreased ∼25°C with the addition of 0.5 mol% Fe2O3. The immiscibility temperature of the doped glasses increased slightly with increased concentration of Fe2+ ion in the glass. The prediction of immiscibility tendency on the addition of a minor amount of third component was made using models proposed by Tomozawa and Obara and Nakagawa and Izumitani. The Tomozawa and Obara model showed good agreement with measured immiscibility values.
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 101 (1994), S. 4229-4235 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A simple two-dimensional model is employed to derive the fraction of oriented crystalline area in thin film crystallization processes, and to assess the influence of various physical parameters upon the extent of orientation. The final expressions, which are given as averages over probability distributions, are shown to be precise via comparisons with numerical calculations. We find that for a given film thickness the seed (nucleus) density and nucleus orientation probability distribution have a dramatic influence upon the extent of orientation, while the crystal growth rate anisotropy has a smaller effect.
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  • 10
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 97 (1992), S. 3621-3628 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We derive an exact expression for the induction time associated with the Zeldovich nucleation equation in terms of rapidly convergent integrals. Also, we consider an asymptotic approximation of the exact expression which is obtained in the limit of a high nucleation barrier and derive explicit formulas for several widely employed nucleation models. We demonstrate that analytical results are in excellent agreement with numerical results of the present and previous studies.
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