2015
DOI: 10.1088/0031-8949/90/8/088007
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From crystal morphology to molecular and scale crystallography

Abstract: A number of topics, ranging from morphology of aperiodic crystals to indexed enclosing forms of axial-symmetric proteins, nucleic acids and viruses, have been selected among those investigated by the authors in 50 years of research. The basic symmetries involved in fields like superspace, molecular and scale crystallography, are considered from a personal point of view in their time evolution. A number of specific subjects follow, chosen among a few highlights and presented according to the experience of the a… Show more

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Cited by 9 publications
(6 citation statements)
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“…Notably, the crystallites do not possess the expected long rod-like morphology. Instead, they exhibit a shorter, more truncated shape that is consistent with S 6 symmetry within the space group R . The only 3-fold axis of symmetry apparent in the crystal morphology corresponds to the 3-fold c -axis found in R .…”
Section: Resultsmentioning
confidence: 72%
See 1 more Smart Citation
“…Notably, the crystallites do not possess the expected long rod-like morphology. Instead, they exhibit a shorter, more truncated shape that is consistent with S 6 symmetry within the space group R . The only 3-fold axis of symmetry apparent in the crystal morphology corresponds to the 3-fold c -axis found in R .…”
Section: Resultsmentioning
confidence: 72%
“…Instead, they exhibit a shorter, more truncated shape that is consistent with S6 symmetry within the space group R3 � . 64 The only three-fold axis of symmetry apparent in the crystal morphology corresponds to the three-fold c-axis found in R3 � . A self-consistent set of Miller indices can be generated with symmetry operators and the correct choice of one of each of the side faces and the top face.…”
Section: Resultsmentioning
confidence: 95%
“…Our results may stimulate further research in various fields of generalized crystallography including scale and superspace crystallography [41][42][43][44][45]. We expect that our mathematical models will help researchers to better understand the ordering phenomena in soft matter and relating materials, to explain the appearance of anomalous symmetries in colloidal layers, and to design new types of photonic crystals, artificial solids, metamaterials, and so forth [46][47][48][49][50][51][52][53].…”
Section: Discussionmentioning
confidence: 77%
“…Such structural relations, expressed in terms of points of a single lattice, are observed in nucleic acids, in viruses and in complexes of different biological components, like nucleic acids bounded to proteins or, in viruses, external capsid and internal genome. More about this can be found in the two review articles (Janssen & Janner, 2014;Janner & Janssen, 2015) and in the quotations given there.…”
Section: Figurementioning
confidence: 99%