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  • 1
    Electronic Resource
    Electronic Resource
    Asymmetry of Stark-broadened Lyman lines from laser-produced plasmas (1986)
    [S.l.] : American Institute of Physics (AIP)
    Review of Scientific Instruments 57 (1986), S. 2196-2196 
    Details
    ISSN: 1089-7623
    Source: AIP Digital Archive
    Topics: Physics , Electrical Engineering, Measurement and Control Technology
    Notes: Three significant causes of spectral line asymmetry: the ion-quadrupole interaction, the quadratic Stark effect, and fine-structure splitting, are included in the calculation of Lyman line profiles emitted by highly ionized hydrogenic radiators in a dense, hot plasma. The line asymmetries are shown to be strongly dependent on the plasma density, indicating that the asymmetry may be of use as a density diagnostic. This work was supported by Lawrence Livermore National Laboratory under sub-contract #5962705.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1138731
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  • 2
    Electronic Resource
    Electronic Resource
    Escape factors for Stark-broadened line profiles (1986)
    [S.l.] : American Institute of Physics (AIP)
    Review of Scientific Instruments 57 (1986), S. 2196-2196 
    Details
    ISSN: 1089-7623
    Source: AIP Digital Archive
    Topics: Physics , Electrical Engineering, Measurement and Control Technology
    Notes: Escape factors for upper and lower limits to the source function appropriate for spherical geometry have been evaluated using a set of Stark-broadened line profiles, computed with different approximations, for the Ly-∝ line of Ar xviii. The method used to compute the escape factors, which is based on a general formalism, can be applied to any kind of line profile and is suitable for any geometry. The escape factor is expressed as an integral over the frequency of a functional of the line profile; hence our treatment highlights its dependence on the line profile. Comparisons are made with previous calculations that used Holtsmarkian line profiles and significant differences are noted. This work has been submitted for publication to J. Phys. B (London). This work was supported by the U.S. DOE Grant No. DEA508-833PP-40177.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1139201
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  • 3
    Electronic Resource
    Electronic Resource
    A uniqueness theorem for an inverse Sturm–Liouville problem (1987)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 1471-1472 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A new uniqueness theorem is established for the inverse Sturm–Liouville problem. It is shown that the measurement of a particular eigenvalue for an infinite set of different boundary conditions is sufficient to determine the unknown potential.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527500
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  • 4
    Electronic Resource
    Electronic Resource
    A reconstruction method for a two-dimensional inverse eigenvalue problem (1994)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 45 (1994), S. 794-826 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract In this paper we describe a method for constructing approximate solutions of a two-dimensional inverse eigenvalue problem. Here we consider the problem of recovering a functionq(x, y) from the eigenvalues of — Δ +q(x, y) on a rectangle with Dirichlet boundary conditions. The potentialq(x, y) is assumed to be symmetric with respect to the midlines of the rectangle. Our method is a generalization of an algorithm Hald presented for the construction of symmetric potentials in the one-dimensional inverse Sturm-Liouville problem. Using a projection method, the inverse spectral problem is reduced to an inverse eigenvalue problem for a matrix. We show that if the given eigenvalues are small perturbations of simple eigenvalues ofq=0, then the matrix problem has a solution. This solution is used to construct a functionq which has the same lowest eigenvalues as the unknownq, and several numerical examples are given to illustrate the methods.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00942754
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  • 5
    Electronic Resource
    Electronic Resource
    Pressure dependence of the electric field gradient in Sb and Sb1−x M x (M=ln, Zn, Ge, Pb, Cd, Sn) at the site of111Cd (1995)
    Springer
    The European physical journal 97 (1995), S. 493-497 
    Details
    ISSN: 1434-6036
    Keywords: 31.30 G ; 61.70 Y
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Using the111Cd-TDPAC (time differential perturbated angular correlation) method, the pressure dependence of the electric field gradient (EFG) in Sb and Sb1−x M x (M=ln, Zn, Ge, Pb, Cd, Sn) was investigated. The application of a phenomenological ansatz for the parametrisation of the pressure and temperature dependence of the EFG made it possible to combine temperature data gained in former studies [1], [2] with the pressure dependent data presented in this paper. The resulting pressure dependence of −2±0.2 MHz/kbar is shown to be independent of concentration and element of admixture. Results for the volume and explicit temperature dependence agree with existing information on the mixed system Sb1−x M x (M=ln, Zn, Ge, Pb, Cd, Sn); the investigation of the EFG in Sb1−x−y M x Pb y showed that the resulting EFG may be interpreted as the weighted sum of the individual contributions of the two metals.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01322429
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  • 6
    Electronic Resource
    Electronic Resource
    Extremal eigenvalue problems for composite membranes, I (1990)
    Springer
    Applied mathematics & optimization 22 (1990), S. 153-167 
    Details
    ISSN: 1432-0606
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Given an open bounded connected set Ω ⊂R N and a prescribed amount of two homogeneous materials of different density, for smallk we characterize the distribution of the two materials in Ω that extremizes thekth eigenvalue of the resulting clamped membrane. We show that these extremizers vary continuously with the proportion of the two constituents. The characterization of the extremizers in terms of level sets of associated eigenfunctions provides geometric information on their respective interfaces. Each of these results generalizes toN dimensions the now classical one-dimensional work of M. G. Krein.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01447325
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  • 7
    Electronic Resource
    Electronic Resource
    Extremal eigenvalue problems for composite membranes, II (1990)
    Springer
    Applied mathematics & optimization 22 (1990), S. 169-187 
    Details
    ISSN: 1432-0606
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Given an open bounded connected set Ω ⊂R N and a prescribed amount of two homogeneous materials of different density, for smallk we characterize the distribution of the two materials in Ω that extremizes thekth eigenvalue of the resulting clamped membrane. We show that these extremizers vary continuously with the proportion of the two constituents. The characterization of the extremizers in terms of level sets of associated eigenfunctions provides geometric information on their respective interfaces. Each of these results generalizes toN dimensions the now classical one-dimensional work of M. G. Krein.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01447326
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  • 8
    Electronic Resource
    Electronic Resource
    Solubility of anthracene in binary alcohol + 1-pentanol solvent mixtures at 25°C: Comparison of expressions derived from Mobile Order theory and the Kretschmer-Wiebe association model (1996)
    Springer
    Journal of solution chemistry 25 (1996), S. 1001-1017 
    Details
    ISSN: 1572-8927
    Keywords: Anthracene solubilities ; hydrogen-bonding ; self-association ; solid-liquid equilibria ; binary alkanol solvent mixtures ; 1-pentanol
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract A relatively simple expression is developed for predicting the solubility of an inert crystalline solute in binary alcohol + alcohol solvent mixtures based upon the Kretschmer-Wiebe association model. The predictive accuracy of the newlyderived expression is compared to equation(s) derived previously from Mobile Order theory using experimental anthracene solubilities in seven binary alcohol + 1-pentanol solvent mixtures at 25°C, which were measured as part of the present investigation. Computations show that both models accurately describe the solubility behavior of anthracene in the binary solvent systems studied. Average absolute deviations between observed and predicted values were 0.9% and 1.4% for the Kretschmer-Wiebe and Mobile Order predictive equations, respectively.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00972595
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  • 9
    Electronic Resource
    Electronic Resource
    Thermochemical investigations of hydrogen-bonded solutions. Part 11. Expressions for predicting anthracene solubilities in alcohol+alkoxyalcohol mixtures based on mobile order theory (1996)
    Springer
    Journal of solution chemistry 25 (1996), S. 1089-1104 
    Details
    ISSN: 1572-8927
    Keywords: Anthracene solubilities ; hydrogen-bonding ; self-association ; solid-liquid equilibria ; binary alcohol+alkoxyethanol solvent mixtures
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Experimental solubilities are reported for anthracene dissolved in eight binary mixtures containing 2-ethoxyethanol with 1-propanol, 2-propanol, 1-butanol, 2-butanol, 2-methyl-1-propanol, 1-pentanol, 3-methyl-1-butanol and 1-octanol, and also in binary 1-pentanol+2-methoxyethanol and 2-methyl-1-propanol+2-propoxyethanol solvent systems at 25°C. Results of these measurements, combined with previously reported anthracene solubility data in 22 different alcohol +2-alkoxyethanol (2-methoxyethanol, 2-propoxyethanol and 2-butoxyethanol) solvent mixtures, are used to test the limitations and applications of expressions derived from Mobile Order theory. The first predictive expression assumes only formation of homogeneous self-associated hydrogen-bonded species, whereas the second equation includes additional terms to account for heterogeneous complex formation between the dissolved alcohol and 2-alkoxyethanol solvent molecules. Both equations predict the observed anthracene solubilities to within an average absolute deviation of about 3%.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00972924
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  • 10
    Electronic Resource
    Electronic Resource
    Solubility of benzil in binary alkane + dibutyl ether solvent mixtures. Comparison of predictive expressions derived from the nearly ideal binary solvent model (1996)
    Springer
    Journal of solution chemistry 25 (1996), S. 295-302 
    Details
    ISSN: 1572-8927
    Keywords: Benzil solubilities ; binary solvent mixtures ; predictive expressions ; solubility predictions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Experimental solubilities are reported for benzil dissolved in six binary mixtures containing dibutyl ether with hexane, heptane, octane, cyclohexane, methylcyclohexane, and 2,2,4-trimethylpentane at 25°C. Results of these measurements are compared to the predictions of equations developed previously for solubility in systems of nonspecific interactions. The most successful equation in terms of goodness of fit involved a volume fraction average of the excess Gibbs energies relative to the Flory-Huggins model, and predicted the experimental solubilities in the six systems studied to within an overall average absolute deviation of 3.4% and with a maximum deviation of 6.0%.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00972527
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