Geometrical Characteristics of the Enlarged Fused Hard Sphere Models of Simple Molecules

2005 ◽  
Vol 109 (41) ◽  
pp. 19437-19442 ◽  
Author(s):  
Tomáš Boublík
Keyword(s):  
Hard Sphere ◽  
Geometrical Characteristics ◽  
Simple Molecules ◽  
Hard Sphere Models

scholarly journals Multicomponent adhesive hard sphere models and short-ranged attractive interactions in colloidal or micellar solutions

2006 ◽  
Vol 74 (5) ◽  
Author(s):  
Domenico Gazzillo ◽  
Achille Giacometti ◽  
Riccardo Fantoni ◽  
Peter Sollich
Keyword(s):  
Hard Sphere ◽  
Micellar Solutions ◽  
Hard Sphere Models

Two hard sphere models for the reaction A+BC

1995 ◽  
Vol 102 (12) ◽  
pp. 4885-4894 ◽  
Author(s):  
Ju‐Beom Song ◽  
Eric A. Gislason ◽  
Muriel Sizun
Keyword(s):  
Hard Sphere ◽  
Hard Sphere Models

On the Structural Characterization of a Series of Novel Ni-Nb-Sn Refractory Alloy Glasses

2003 ◽  
Vol 806 ◽  
Author(s):  
Michelle L. Tokarz ◽  
John C. Bilello
Keyword(s):  
Radial Distribution ◽  
Hard Sphere ◽  
Alloy Composition ◽  
Distribution Functions ◽  
Refractory Alloy ◽  
Distribution Analysis ◽  
X Ray Diffraction ◽  
Characterization Methods ◽  
X Ray ◽  
Hard Sphere Models

ABSTRACTRecently refractory alloy glasses of varying Ni, Nb and Sn concentrations were prepared and studied via several characterization methods, including x-ray diffraction via standard lab and synchrotron radiation sources, SEM, and other complementary techniques. A comparison between x-ray diffraction results obtained from synchrotron sources vs. standard lab sources shows the necessity of a low-divergence source in order to distinguish nanoscale crystallites present within an amorphous matrix. The divergence of both sources was determined by comparing the diffraction patterns of a LaB6standard and noting the deviation from ideal or theoretical Bragg peaks. The crystallites in these glasses comprised between 0 and 7.5 percent by volume, depending upon the specific composition. The results presented here also show a very good sample-to-sample consistency for any given alloy composition. While x-ray diffraction results give information about the average structure, SEM was also performed to understand aspects of individual crystallite size and distribution. By studying results of varying alloy concentrations, it is seen that a very small composition range exists for near-perfect glass formers (as defined by a near zero percentage crystallinity). Radial distribution analysis was also performed for each composition and compared to hard sphere models for each alloy composition. This analysis indicated the presence of intermediate range order beyond the first nearest neighbors as indicated by the divergence of the experimental reduced radial distribution functions from that predicted by the accompanying hard sphere models.

scholarly journals Robustness of mean field theory for hard sphere models

2018 ◽  
Vol 97 (6) ◽  
Author(s):  
Giorgio Parisi ◽  
Yoav G. Pollack ◽  
Itamar Procaccia ◽  
Corrado Rainone ◽  
Murari Singh
Keyword(s):  
Field Theory ◽  
Hard Sphere ◽  
Mean Field Theory ◽  
Mean Field ◽  
Hard Sphere Models

Growth of Hard-Sphere Models with Two Different Sizes: Can a Quasicrystal Result?

1987 ◽  
Vol 58 (19) ◽  
pp. 1960-1963 ◽  
Author(s):  
B. Minchau ◽  
K. Y. Szeto ◽  
J. Villain
Keyword(s):  
Hard Sphere ◽  
Hard Sphere Models

Random‐Line and Hard‐Sphere Models

1966 ◽  
Vol 37 (12) ◽  
pp. 4377-4380 ◽  
Author(s):  
R. J. Greet
Keyword(s):  
Hard Sphere ◽  
Random Line ◽  
Hard Sphere Models
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