Statistical geometry of some dense random packing of hard spheres model structures

1986 ◽  
Vol 81 (1-2) ◽  
pp. 13-28 ◽  
Author(s):  
L. Takács
Keyword(s):  
Hard Spheres ◽  
Random Packing ◽  
Statistical Geometry ◽  
Model Structures

Statistical Geometry of Random Heaps of Equal Hard Spheres

Nature ◽  
1969 ◽  
Vol 224 (5219) ◽  
pp. 550-553 ◽  
Author(s):  
R. H. BERESFORD
Keyword(s):  
Hard Spheres ◽  
Statistical Geometry

Model Calculation for the Fe80B20 Alloy Glass

1982 ◽  
Vol 37 (6) ◽  
pp. 611-612 ◽  
Author(s):  
T. Fujiwara ◽  
H. S. Chen ◽  
Y. Waseda
Keyword(s):  
Neutron Diffraction ◽  
Model Calculation ◽  
Radial Distribution ◽  
Short Distance ◽  
Random Packing ◽  
Distribution Functions ◽  
Radial Distribution Functions ◽  
X Ray Diffraction ◽  
X Ray ◽  
Model Structures

Abstract Three partial radial distribution functions [RDF’s] are calculated by means of relaxed dense-random packing models for a Fe80B20 glass. The model structures reproduce fairly well recently reported experimental partial RDF's derived from x-ray diffraction and neutron diffraction using isotopic substitutional methods. Most significantly, both the model calculated by means of relaxed dense-random packing models GBB (r), the appearance of a subpeak on the short distance side of the first peak.

Geometrical properties of a random packing of hard spheres

1991 ◽  
Vol 176 (2) ◽  
pp. 206-219 ◽  
Author(s):  
A. Pavlovitch ◽  
R. Jullien ◽  
P. Meakin
Keyword(s):  
Hard Spheres ◽  
Random Packing ◽  
Geometrical Properties

A Molecular Orbital Model of Melting and Glass Formation

1981 ◽  
Vol 8 ◽  
Author(s):  
M. E. Eberhart ◽  
K. H. Johnnson ◽  
R. C. O'Handley
Keyword(s):  
Phase Transition ◽  
Transition Metals ◽  
Fermi Level ◽  
Molecular Orbital ◽  
Glass Formation ◽  
Hard Spheres ◽  
Random Packing ◽  
Glass Forming ◽  
Molecular Orbital Model ◽  
Glass Properties

ABSTRACTSCF-Xα-SW calculations have been performed on the glass forming crystal of Ni2B. The resulting molecular orbital topology near the fermi level is similar to that previously obtained by SCF-Xα-SW calculation on the glass forming crystals of Pd-Si and Cu-Zr. These similarties, it is conjectured, indicate melting is an electronically driven phase transition and that liquid and glass structures are more the result of electronic than kinetic factors. It is shown that the molecular orbital model of melting in transition metals will generate structures similar to those resulting from the dense random packing of hard spheres method, and the molecualr orbital mechanism admits, in a qualitative way, the explanation of a broad range of liquid and glass properties.

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