13 research outputs found

    LSQFT: a nonlinear least squares data fitting subroutine suitable for minicomputers. [In FORTRAN for Hewlett Packard 1000]

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    The FORTRAN subroutine LSQFT is described which uses the Gauss method to fit nonlinear functions to data. This particular program is suitable for use on a minicomputer that is utilized for real-time data acquisition and analysis. A sample problem is described that requires a nine-parameter nonlinear fit to 200 data points. This problem serves both to illustrate the use of LSQFT and to compare its results with TJMAR1, a nonlinear parameter estimation program available in the Sandia MATHLIB, for the CDC 6600/7600 computers. The results of this comparison fit are identical to the significance of the input convergence criteria. The output of LSQFT includes the standard deviation of each fit parameter, which is useful for analysis of the significance of the parameters based on the input data or for evaluation of functional models used to fit to the data. Examples are given of the types of graphical output that can be generated from the results of LSQFT. The program is documented and listed in its entirety, and a user's guide is provided. 10 figures

    Thermal expansion and density measurements of molten and solid materials at high temperatures by the gamma attenuation technique

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    An apparatus is described for the measurement of the density and thermal expansion of molten materials to 3200/sup 0/K using the gamma attenuation technique. The precision of the experimental technique was analytically examined for both absolute and relative density determinations. Three analytical expressions used to reduce data for liquid density determinations were evaluated for their precision. Each allows use of a different set of input data parameters, which can be chosen based on experimental considerations. Using experimentally reasonable values for the precision of the parameters yields a similar resultant density precision from the three methods, on the order of 0.2%. The analytical method for measurements of the linear thermal expansion of solids by the gamma method is also described. To demonstrate the use of the technique on reasonably well-characterized systems, data are presented for (1) the density and thermal expansion of molten tin, lead, and aluminum to 1300/sup 0/K, (2) the thermal expansion of solid aluminum to the melting point, and (3) the thermal expansion of a low melting point glass through the transition temperature and melting region. The data agree very well with published results using other methods where such published data exist

    Design of a high precision dilatometer using laser interferometry

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    This study examines the design of a high precision dilatometer which utilizes laser interferometry as the basis for the length measurement system. The dilatometer is being designed for operation from ambient to 800/sup 0/C using samples which require minimal preparation. Several interferometric techniques useful to dilatometry were reviewed from the literature. As a result of this review and establishment of performance criteria, a technical design is proposed. The optical design incorporates a two-frequency He--Ne laser with ac detection in a modified Michelson interferometer. A vertical sample/furnace configuration appears to offer a number of design advantages. Operational considerations and dilatometer development costs are also presented
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