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ISSN: 2053-2733

May 2024 issue

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foundations

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The kisrhombille tiling is the dual of one of the eight semi-regular tilings and is built up by right-angled triangles in 12 orientations. In this paper, an appropriate coordinate system is presented and the digital distance is defined and computed by the number of steps of neighboring triangles, where two triangles are considered to be neighbors if they share at least one point on their border.

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A new optimization method based on a new concept of single-atom R1 (sR1) for solving crystal structures is presented.

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An improved method of one-electron reduced density matrix reconstruction from structure factors and directional Compton profiles is tested on a urea crystal. Novel restrictions accounting for molecular symmetry and freezing of core electrons are introduced.
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