Accession Number : AD0875970

Title :   Relative Stabilities of a Family of Plastically-Deformed Lattice Close Packings of Rigid Disks.

Descriptive Note : Special technical rept.,

Corporate Author : ILLINOIS INST OF TECH CHICAGO

Personal Author(s) : Miller, C. Grant ; Larsen, Russell D.

Report Date : OCT 1970

Pagination or Media Count : 48

Abstract : Using the cell-cluster approximation scheme the authors have the relative stabilities of a family of plastically-deformed lattices containing interacting rigid disks. These lattices, referred to as Niggli lattices, represent a distortion of the regular hexagonal lattice in that single rows are systematically translated away from hexagonal packing to yield interpenetrating parallelopipedal unit cells. The cell-cluster analysis has been taken only through second order due to the complexity of the resulting subfigures. However, the results have been parameterized in terms of general translation variables which permits one to display the contents of the correlated configurational regions for all members of the infinite set of such row translates or Niggli-type lattices. In this regime one is no longer able to determine limiting contents which are exact in the close-packed limit; rather, one constructs bounds to such exact regions. (Author)

Descriptors :   (*CRYSTAL LATTICES, DISTORTION), (*FRACTURE(MECHANICS), STATISTICAL MECHANICS), BRITTLENESS, DEFORMATION, STRESSES, MATHEMATICAL ANALYSIS, STABILITY.

Subject Categories : Crystallography
      Solid State Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE