The Least Set of Conditions to Specify a Bravais Lattice Uniquely in its Parameter Space
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概要
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A necessary and sufficient region to express a Bravais lattice uniquely in its six-dimensional parameter space is newly obtained. The incorrect method and result of the previous paper 〔M.Hosoya, J. Phys. A:Math. Gen., 19:1801 (1986)〕 are revised. The region is specified by only six conditions which cut a convex polytope in the parameter space. It is shown that the region is equivalent to that given from the conditions to specify the reduced bases. Transformation matrices are shown explicitly which convert the parameters of the reduced basis into those within the region in one-to-one correspondence.
- 琉球大学理学部の論文
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