Frameworks with crystallographic symmetry

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Frameworks with crystallographic symmetry.

Periodic frameworks with crystallographic symmetry are investigated from the perspective of a general deformation theory of periodic bar-and-joint structures in Euclidean spaces of arbitrary dimension. It is shown that natural parametrizations provide affine section descriptions for families of frameworks with a specified graph and symmetry. A simple geometrical setting for displacive phase tra...

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Statistical density modification is a technique for phase improvement through a calculation of the posterior probability of the phases, given experimental phase information and expectations about features of the electron-density map. The technique can take advantage of both estimates of electron density in the map and uncertainties or probability distributions for those estimates. For crystals ...

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Crystallographic Symmetry in Reciprocal Space.

8 Oliver, J., Harvey Lectures, Series XL, 1944-1945, p. 102. J. Mount Sinai Hosp. 15, 175, (1948). 9 Dock, W., New Eng. J. Med., 227, 633 (1942). 10 Randerath, E., Ergeb. d. Allg. Path. u. Path. Anat. des Menschen u. der Tiere, 32, 91 (1937). 11 Smetana, H., Am. J. Path., 18, 1029 (1942) and 23, 255 (1947). 12 Monke, J. V., and Yuile, C. L., J. Exp. Med., 72, 149 (1940). Yuile, C. L., and Clark...

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ژورنال

عنوان ژورنال: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

سال: 2014

ISSN: 1364-503X,1471-2962

DOI: 10.1098/rsta.2012.0143