Interference and Radial Distribution Functions of Liquid Copper, Silver, Tin, and Mercury

1965 ◽  
Vol 20 (3) ◽  
pp. 325-335 ◽  
Author(s):  
C. N. J. Wagner ◽  
H. Ocken ◽  
M. L. Joshi
Keyword(s):  
Radial Distribution ◽  
Liquid Copper ◽  
Pulse Height ◽  
Distribution Functions ◽  
Radial Distribution Functions ◽  
Interatomic Distances ◽  
X Ray ◽  
Coordination Numbers ◽  
X Ray Scattering ◽  
Good Agreement

The x-ray scattering from liquid copper, silver, tin, and mercury was measured at temperatures of 1125°C, 1050°C, 335°C, and 28°C, respectively, from the open surface of horizontal samples using a focusing theta-theta diffractometer, quartz crystal monochromator positioned in the diffracted beam, scintillation detector, and pulse height discriminator. The effect on the measured intensities of the positioning of the sample with respect to the diffractometer axis and the meniscus of the liquid were considered. Calibration of the primary beam intensity by measurements on liquid mercury provided an alternate check of the standard normalization procedures for copper, silver, and tin. After calculation of the interference functions, atomic and radial distribution functions were evaluated from which interatomic distances and coordination numbers were obtained. The interatomic distances in the liquid were in good agreement with the GOLDSCHMIDT diameters of the respective elements.

Structural Study of a Decagonal Al75Fe15Ni10 Alloy by Anomalous X-ray Scattering (AXS) Method

1991 ◽  
Vol 46 (7) ◽  
pp. 605-608 ◽  
Author(s):  
E. Matsubara ◽  
Y. Waseda ◽  
A. P. Tsai ◽  
A. Inoue ◽  
T. Masumoto
Keyword(s):  
Structural Study ◽  
Radial Distribution ◽  
Distribution Functions ◽  
Radial Distribution Functions ◽  
X Ray Diffraction ◽  
X Ray ◽  
X Ray Scattering ◽  
Ray Scattering

A structural study of an as-quenched decagonal Al75Fe15Ni10 alloy has been carried out by anomalous x-ray scattering (AXS) as well as ordinary x-ray diffraction. The environmental radial distribution functions (RDFs) for Fe and Ni determined by the AXS measurements turned out to resemble each other and to be similar to the ordinary RDF obtained by ordinary x-ray diffraction. These results clearly show that the Ni and Fe atoms are homogeneously distributed and occupy the same sites in the decagonal structure of Al75Fe15Ni10.

What can x-ray scattering tell us about the radial distribution functions of water?

2000 ◽  
Vol 113 (20) ◽  
pp. 9149-9161 ◽  
Author(s):  
Jon M. Sorenson ◽  
Greg Hura ◽  
Robert M. Glaeser ◽  
Teresa Head-Gordon
Keyword(s):  
Radial Distribution ◽  
Distribution Functions ◽  
Radial Distribution Functions ◽  
X Ray ◽  
X Ray Scattering ◽  
Ray Scattering

Determination of Structure, Shape and Sizes of Clusters Using Radial Distribution Functions (RDF) Method

1992 ◽  
Vol 272 ◽  
Author(s):  
Pavel E. Kolosov ◽  
A. V. Bubnov
Keyword(s):  
Distribution Functions ◽  
Structure Characterization ◽  
Radial Distribution Functions ◽  
Experimental Conditions ◽  
Interatomic Distances ◽  
X Ray ◽  
Molybdenum Sulfides ◽  
X Ray Scattering

ABSTRACTThe theoretical reduced intensity of X-ray scattering i(S) may be calculated for a cluster of any structure using Debye's formula. The comparison of both experimental determination and model calculation of the RDF or i(S) allows, to make a conclusions about structure of materials in a wide region of interatomic distances. This is a very important for direct structure characterization of giant clusters, dispersed molybdenum sulfides etc.. The simple formula for the upper limit of interatomic distances when the data are collected at equidistant step on S – scatterinrg vector, may be used for the optimal experimental conditions selection.

Anomalous X-ray Scattering on Amorphous Al87Y8Ni5 and Al90Y10 Alloys

1989 ◽  
Vol 44 (9) ◽  
pp. 814-820 ◽  
Author(s):  
E. Matsubara ◽  
Y. Waseda ◽  
A. Inoue ◽  
T. Masumoto ◽  
Keyword(s):  
Ternary Alloy ◽  
Binary Alloy ◽  
Radial Distribution ◽  
High Strength ◽  
Distribution Functions ◽  
Radial Distribution Functions ◽  
X Ray ◽  
Good Ductility ◽  
X Ray Scattering ◽  
Ray Scattering

Abstract The structure of a new amorphous Al87Y8Ni5, indicating high strength and good ductility, was studied by anomalous X-ray scattering (AXS). For comparison, a binary amorphous Al90Y10 alloy was also investigated. The environmental radial distribution functions around Y and Ni as well as the ordinary RDF in the ternary alloy, and the environmental RDF around Y and the ordinary RDF in the binary alloy were determined. From the analysis of these RDFs it is found that the Y atoms are completely surrounded by Al in the binary alloy, and that some of these Al atoms are replaced by Ni atoms in the ternary alloy.

scholarly journals On the calculation of x-ray scattering signals from pairwise radial distribution functions

2015 ◽  
Vol 48 (24) ◽  
pp. 244010 ◽  
Author(s):  
Asmus O Dohn ◽  
Elisa Biasin ◽  
Kristoffer Haldrup ◽  
Martin M Nielsen ◽  
Niels E Henriksen ◽  
...  
Keyword(s):  
Radial Distribution ◽  
Distribution Functions ◽  
Radial Distribution Functions ◽  
X Ray ◽  
X Ray Scattering ◽  
Ray Scattering

Structure of Molten Mg, Ca, Sr, and Ba by X-ray Diffraction

1975 ◽  
Vol 30 (6-7) ◽  
pp. 801-805 ◽  
Author(s):  
Y. Waseda ◽  
K. Yokoyama ◽  
K. Suzuki
Keyword(s):  
Structural Information ◽  
Distribution Functions ◽  
X Ray Diffraction ◽  
Interatomic Distances ◽  
X Ray ◽  
Coordination Numbers ◽  
Structure Factors ◽  
Atomic Radial Distribution ◽  
Electron Transport Properties ◽  
Diffraction Patterns

Abstract X-ray diffraction patterns have been measured on molten alkaline earth metals (Mg, Ca, Sr, and Ba) in the temperature range from the melting points to 880 °C. In all cases the structure factors obtained were temperature insensitive. By the usual Fourier transformation of the structure factors, the atomic radial distribution functions were evaluated. From these the interatomic distances and coordination numbers were estimated. The structural information was applied to a discussion of the electron-transport properties using the Ziman theory.

Sign in / Sign up

Export Citation Format

Share Document