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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 83 (1979), S. 543-550 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 79 (1996), S. 8770-8782 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: An examination of the axisymmetric equilibrium configurations of fluid systems in cylindrical containers in an arbitrary gravity field has been undertaken. The derived theory allows the effects of gravity on an interface shape to be quantified. When these effects may be neglected, the resulting predictions for equilibrium are contrary to those of previous theories. The theoretical approach adopted herein leads to the prediction that the equilibrium configuration is dependent on the contact angle and on the amount of fluid in the container. These predictions have been examined through a series of experiments conducted in a drop shaft, and the results support the new theoretical approach. © 1996 American Institute of Physics.
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  • 3
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 58 (1985), S. 273-279 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: It has been recently predicted that after bubble nucleation in an isothermal liquid-gas solution of constant volume and mass, the bubble would grow to a final, stable equilibrium size, and a method was given for predicting the final stress that the bubble would produce within the system. An experimental examination has been made of these conclusions using a water-nitrogen solution contained in a stainless steel vessel of constant volume. The evolution of a bubble to the final, stable equilibrium size was observed, and the predicted final stress was found to lie within the experimental uncertainty.
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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. 5513-5514 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: If two liquid phases are present in a closed cylinder, one above a vapor phase and one below, the upper contact angle is smaller than the lower contact angle when the system reaches thermodynamic equilibrium. This surprising theoretical prediction is supported by recent experimental studies. © 2000 American Institute of Physics.
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 109 (1998), S. 3651-3660 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Using the Gibbs description of an interphase, the necessary conditions for equilibrium of a closed, two-phase fluid system in the presence of gravity are the Laplace and Young equations and a condition on the chemical potentials. The last condition has been neglected in all previous examinations of contact angles in a gravitational field. After introducing explicit expressions for the chemical potentials, we find that the condition on the chemical potentials can be used to determine the pressure profile within the system. In a "two-interface" system in which a liquid phase is both above and below a vapor phase and the vapor phase forms a solid–vapor interphase in one region, the pressure profile in the liquid phases is the same as it would have been if the vapor phase were not there; thus in a gravitational field, the pressure is smaller in the liquid phase above the vapor phase than it is in the liquid phase below the vapor phase. This results in the contact angle at the upper three-phase line necessarily being smaller than that at the lower three-phase line. This difference in contact angles is conventionally referred to as contact angle hysteresis; however, we show that it is simply an equilibrium property of a capillary system in a gravitational field. The contact angle difference predicted to exist in the presence of gravity does not violate the Young equation, but the Young equation does impose a restriction on the equilibrium adsorption isotherms at the solid–vapor and solid–liquid interfaces. © 1998 American Institute of Physics.
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 108 (1998), S. 8698-8704 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The concentration at the interface of a growing or dissolving crystal has been previously found experimentally to be different from the equilibrium value; however, a method for predicting this concentration has not been available. We report an investigation that uses statistical rate theory to obtain the expression for the rate of molecular transport across the interface of a growing or dissolving crystal. This expression is in terms of the concentration at the interface, and serves as the boundary condition for the convective diffusion equation. The solution of this system of equations contains two constants that appear in the expression for the equilibrium exchange rate. To evaluate the validity of the system of equations obtained, KAlum dissolution in a rotating disk apparatus was examined using data that had been previously reported. In the series of experiments, saturated, aqueous solutions of KAlum were prepared, and the temperature changed to form undersaturated solutions. KAlum{111} crystals were then dissolved isothermally at a series of different temperatures and rotation rates, and their steady state rates of dissolution measured. Using the measured dissolution rates at one temperature, the values of the two constants were determined, and the system of equations was then used to predict the rate of dissolution at the other four temperatures. The predictions were found to be in agreement with the measured dissolution rates at the other temperatures. The predicted interfacial concentration was less than the equilibrium value at all dissolution rates and the difference increased with increasing dissolution rates. © 1998 American Institute of Physics.
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  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 109 (1998), S. 3661-3670 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A capillary system is considered that is exposed to a gravitational field and contains a single component fluid. A portion of the liquid is above and a portion below the vapor. A three-phase line is formed at both places. A previous thermodynamic analysis of such a system, based on the Gibbs model of the interphase and the resulting necessary conditions for equilibrium, has led to the prediction that the equilibrium contact angle at the upper three-phase line is necessarily smaller than that at the lower three-phase line, and to a method that can be used to predict the contact angle at the lower interface for a given value of the contact angle at the upper interface. Even in the absence of any line tension effects, this contact angle difference is predicted to exist for a solid surface that is both smooth and homogeneous. The experimental investigation reported herein supports this prediction and shows that if the system is displaced from this configuration that the system returns to the same configuration. This suggests that the configuration in which the contact angle is smaller at the upper three-phase line than at the lower three-phase line not only satisfies the necessary conditions for equilibrium, but that this configuration is the stable equilibrium configuration for the system. © 1998 American Institute of Physics.
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  • 8
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 106 (1997), S. 5667-5676 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Absolute rate theory and the sticking probability approach have been previously examined as possible means of predicting the rate of adsorption. However, when applied to examine adsorption kinetics, they have been found not to contain the coverage and pressure dependence required for several important systems including CO–Ni(111). Statistical rate theory (SRT) is being developed with the objective of predicting the rate of molecular (or atomic) transport across the interface between macroscopic phases in terms of experimentally controllable variables and material properties of the two phases. Previous applications of SRT to adsorption have been limited to systems for which both the gas phase pressure and the temperature could be assumed to be constant. Herein, the SRT approach is extended to systems in which the number of molecules in the system (and hence the gas phase pressure) is not constant. To examine this extension, SRT is used to formulate the equations governing the rate of adsorption in isothermal, beam-dosing experiments. These equations are then combined with the values of certain material properties that have previously been established and a hypothesis that the value of the equilibrium adsorption cross section is given by the area of an adsorption site. The kinetic data for CO adsorbing on Ni(111) data reported by three different laboratories are then examined. For each set of experimental data, constants had to be inferred that were related to the experimental apparatus used and as such they were not expected to have any coverage or pressure dependence. The good agreement found between the predicted and measured adsorption kinetics indicates that all of the necessary coverage and pressure dependence was explicitly predicted from the SRT approach. © 1997 American Institute of Physics.
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 106 (1997), S. 5677-5684 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The equation traditionally used to interpret temperature programmed desorption (TPD) spectra, the Polanyi–Wigner equation, does not contain explicitly the coverage and temperature dependence necessary to predict TPD spectra in several important systems including CO–Ni(111). Herein, the statistical rate theory (SRT) approach is used to formulate equations for temperature programmed desorption which are then used to examine TPD spectra reported in the literature for CO–Ni(111). The molecular and material properties for the CO–Ni(111) system have been previously established. One experimental spectrum has been chosen to determine the apparatus constants. The material properties and the apparatus constants are then used in the SRT equations to predict the eight additional TPD spectra for different initial coverages. A critical comparison can then be made between the theory and these eight experimental spectra, since no fitting constants were used in these eight cases. The results show that there is clearly qualitative agreement. The SRT equations are then used along with the heat of adsorption to derive an equation for the pre-exponential factor appearing in the Polanyi–Wigner equation. A prediction is made for the pre-exponential factor that is in agreement with that found empirically. The agreement found between the SRT predictions and the measured spectra indicates that all of the coverage and temperature dependence necessary to predict TPD spectra is given explicitly by the SRT approach. Hence, the experimental support for the SRT approach is enhanced. The SRT equations are then used to predict CO–Ni(111) spectra that would occur if the heating rate were varied. © 1997 American Institute of Physics.
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  • 10
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 112 (2000), S. 7195-7202 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: When the two fluid phases of a substance are present in a cylinder, one of the possible equilibrium configurations is for two liquid phases to be present, one above the vapor phase and one below. If surface tension dominates the gravitational effects, the two-interface configuration is the thermodynamically favored one. When the system is in the two-interface configuration, the difference in pressure between the two liquid phases is predicted to be the same as it would have been had no vapor phase been present! Although the pressure profile cannot be measured directly, it is predicted to cause the contact angle value at the upper three-phase line to be smaller than that at the lower three-phase line. This difference in contact angles can be measured, and from the measured values, the theory can be used to determine the value of the gravitational intensity. In an experiment conducted on a Space Shuttle flight, the configuration adopted when glass cylinders of different diameters were each partially filled with water was recorded. The fluid in each cylinder was found to adopt the two-interface configuration, as predicted. A 56 mm diam glass cylinder that had a height of 86 mm was observed to have a contact angle at the upper three-phase line of 6.7±1.3° and 26.5±4.0° at the lower. The value of the gravitational intensity inferred from the measured contact angles agrees with that reported from the (NASA) electronic Space Acceleration Measurement System (SAMS). This agreement supports the prediction that contact angle hysteresis is generated by a difference in pressure between the two liquid phases of the two-interface configuration. © 2000 American Institute of Physics.
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