scholarly journals Structure of aggregates revealed

Nature ◽  
2016 ◽  
Vol 537 (7621) ◽  
pp. 492-493 ◽  
Author(s):  
Robert Tycko
1964 ◽  
Vol 42 (2) ◽  
pp. 304-320 ◽  
Author(s):  
F. W. Smith

The structure of 3-dimensional aggregates is discussed as a set of points on which graphs are constructed. By constructing the Voronoi honeycomb (Dirichlet regions) for the points and applying a small "irregularizing transformation", a "simplicial graph" and a "primitive coordination number" (whose value is close to 14 for all aggregates) can be defined universally for both regular and irregular aggregates. Recent studies of the geometry of irregular aggregates (of steel balls, crystal grains, etc.) are reviewed. The theory of liquids of J. D. Bernal is discussed and the simplicial graph is used to show that the "activation volume" of a Bernal liquid is about one-tenth of the molecular volume. The kinematics of flow of aggregates is discussed in terms of their graphs and in terms of a process of "volume exchange"—the production and destruction of free volume. Using these concepts, an equation is derived for the viscosity of a Bernal liquid as a product of five terms expressing respectively the kinematic, stoichiometric, kinetic, pressure-dependent, and shear-dependent factors.


Author(s):  
Robert A. Hall ◽  
Peter J. Thistlethwaite ◽  
Franz Grieser ◽  
Nobuo Kimizuka ◽  
Toyoki Kunitake

1997 ◽  
Vol 106 (1) ◽  
pp. 245-248 ◽  
Author(s):  
A. Goto ◽  
H. Hakamata ◽  
Y. Kuwahara ◽  
R. Goto ◽  
P. Walde ◽  
...  

1965 ◽  
Vol 43 (11) ◽  
pp. 2052-2055 ◽  
Author(s):  
F. W. Smith

An example is given of a class of partitions of space into polyhedral cells having an average of 20 faces each. The structure is derived from the Voronoi polyhedra of slightly distorted versions of the diamond lattice, which in turn are duals of the Delaunay simplices of the diamond lattice. A particular member of this class is described: it is a 20-faced stereohedron that packs to fill space by isometries including a rotation.


2008 ◽  
Vol 26 (8) ◽  
pp. 1018-1023 ◽  
Author(s):  
Zeng Yang ◽  
Duu-Jong Lee ◽  
Arun S. Mujumdar ◽  
Xiao-Feng Peng ◽  
Ay Su ◽  
...  

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