Pair Correlations in Liquid and Solid Aluminum

Fessler, R. R.; Kaplow, Roy; Averbach, B.L.

doi:10.1103/physrev.150.34

Cited by 63 publications

(18 citation statements)

References 15 publications

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“…Namely the first peak of the atructure factor is quite symmetrical and a t temperatures just above the melting point the structure factors agree with that of the hard sphere model using the The results for liquid A1 generally agree with those of Ruppersberg and Seemann [14] and Fessler et al [15] obtained by X-ray diffraction. I n the case of liquid P b the structure factor in this work is similar to that of North et al [l6] obt,ained by neutron diffraction.…”

Section: Pb Bisupporting

confidence: 80%

Structure factor and atomic distribution in liquid metals by X‐ray diffraction

Waseda

Suzuki

1972

Physica Status Solidi (b)

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X-ray diffraction patterns have been obtained from liquid metals (Al, Ga, In, TI, Pb, Sn, Bi) near the melting point. After calculating the structure factor (Fourier analysis), the atomic radial distribution function was evaluated from which interatomic distance and coordination number were obtained. It has been shown that the ratio (K,/K,) of the position of the first peak ( K , ) to that of the second peak (K,) in the structure factor is a very useful parameter to represent the structure of liquid metals.Rontgenbeugungsbilder von flussigen Metallen (Al, Ga, In, T1, Pb, Sn, Bi) wurden in der Nahe dea Schmelzpunktes beobachtet. Durch eine schon mehrfach dargestellte Methode (Fourier-Analyse) wurde der Strnktnrfaktor in eine radiale Atomverteilungsfunktion transformiert, aus der sich der mittlere Abstand nachster Atome und die Koordinationszahl ergeben. Es wurde gezeigt, da13 das Verhaltnis (K2/Kl) der Lage des ersten Maximums (Kl) zii der des zweiten Maximums (&) i m Strnkturfaktor eiu niitzlicher Parameter zur Beschreibung der Struktur von flussigen Metallen ist.

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Section: Pb Bisupporting

confidence: 80%

Structure factor and atomic distribution in liquid metals by X‐ray diffraction

Waseda

Suzuki

1972

Physica Status Solidi (b)

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“…The effect of such treatment improves the PDF by reducing spurious oscillations, but it is well known that the resulting PDF has broadened features, since damping is analogous to raising the sample temperature (Bragg & West, 1930). In previous RDF measurements of crystalline aluminium by Ruppersberg & Seemann (1965) and Fessler, Kaplow & Averbach (1966), elevated sample temperatures were used to reduce the errors introduced by termination. Neither damping nor use of elevated temperatures can substitute for measurement of the actual data at high Q, since the degraded resolution due to additional or simulated thermal motion will often obscure significant structural details.…”

Section: Formation Of Q[s(q)-i] In (11) Ormentioning

confidence: 99%

Accuracy of pair distribution function analysis applied to crystalline and non-crystalline materials

Toby¹,

Egami²

1992

Acta Crystallogr A Found Crystallogr

305

217

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Pair distribution function (PDF) analysis of neutron or X-ray powder diffraction data is a useful technique for analysis of short-range structure in both amorphous and crystalline materials. Errors in PDF determinations may arise from several sources: termination of the Fourier transform, lack of instrument resolution, counting statistics and inaccurate corrections for experimental artifacts. Estimates of the amount of error from termination and instrument resolution are computed using a model structure. A general method for estimating the expected contribution of statistical error to the PDF is introduced for the first time. The effect of termination varies with the type of material and with the amplitude of lattice vibrations but, in general, termination with Q > 30 produces minimal errors. Broadening of the diffraction pattern produces negligible effect for conventional instrumentation. With moderate data-collection times, the statistical errors can be reduced to reasonable levels. Pulsed-neutron diffraction can provide accurate and precise PDF measurements, as is demonstrated in this work by the agreement between model and experimental results for polycrystalline aluminium.

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“…Table 2 gives the values for the first peak heights of the I(K) of the solid films and the liquid. Various studies of the temperature dependence of the structure of liquid metals (Wagner, 1972;Fessler, Kaplow & Averbach, 1966), have shown that the intensities of the first peak in I(K) decrease as the temperature increases. This might explain why the noncrystalline solid films of Ag-Cu measured at room temperature exhibit more intense first peaks in I (K) than that of the liquid alloy measured at 850 °C.…”

Section: A Comparison Of Liquid and Non-crystalline Solid Alloys Of mentioning

confidence: 99%

A comparison between the structures of amorphous and liquid Ag–Cu and Cu–Mg alloys

Lukens¹,

Wagner²

1976

J Appl Cryst

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Amorphous films of AgCu and CuMg2, approximately 3000 A in thickness, were prepared by co-evaporation of Ag and Cu, and Cu and Mg, respectively, onto 25 #m thick Be sheets, held at liquid nitrogen temperature. Mo K~ X-rays were used as a radiation probe to determine the structure of the films, at room temperature, and of the liquid alloys of Cu with 50 at.~ Ag and with 0 and 67 at.~o Mg at 50°C above the liquidus temperature. With the transmission technique, the interference functions (or structure factors) I(K) were determined in the range of K=4rt sin 0/2 between 0.8 A -1 and 12.5 A-1, and then Fourier transformed to obtain the radial distribution functions (RDF). The I(K) and RDF of the amorphous AgCu and CuMg2 films were compared with those of the liquid Ag-Cu and Cu-Mg alloys, respectively. It was found that the structures of the amorphous and liquid Ag-Cu alloys were similar with a more well-defined short-range order occurring in the solid alloys, whose I(K) exhibited the well-known shoulder on the second peak. The I(K) and RDF of the amorphous CuMg2 and the liquid Cu-Mg alloys cannot be explained by a common structure, although I(K) showed a small premaximum below the first main peak in both the amorphous and liquid alloys, a feature observed in many liquid Mg alloys.

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Pair Correlations in Liquid and Solid Aluminum

Cited by 63 publications

References 15 publications

Structure factor and atomic distribution in liquid metals by X‐ray diffraction

Structure factor and atomic distribution in liquid metals by X‐ray diffraction

Accuracy of pair distribution function analysis applied to crystalline and non-crystalline materials

A comparison between the structures of amorphous and liquid Ag–Cu and Cu–Mg alloys

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