Criterion for the correct construction of the fundamental parallelohedron of a crystal based on experimental data
Abstract
In the article "Results of the First Stage of Experimental Research on the Structure of Crystals" (in the footnote on p. 361), a principle for determining the structure based on the parallelhedron of the smallest volume is established, which is equivalent to the principle of establishing a system of parallelhedra of the highest order permissible for a given regular system of points. A criterion for the correctness of constructing the parallelhedron can be the test of the possibility of a different, more specific, arrangement of one of the atoms represented in the chemical formula in the smallest number, or, even better, if there are no single atoms, the placement of that special point which occupies a unique position in the parallelhedron.
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