Relative Stabilities of a Family of Plastically-Deformed Lattice Close Packings of Rigid Disks.
Special technical rept.,
ILLINOIS INST OF TECH CHICAGO
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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
- Solid State Physics