Least path criterion (LPC) for unique indexing in a two-dimensional decagonal quasilattice
The least path criterion or least path length in the context of redundant basis vector systems is discussed and a mathematical proof is presented of the uniqueness of indices obtained by applying the least path criterion. Though the method has greater generality, this paper concentrates on the two‐d...
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| Veröffentlicht in: | Acta crystallographica. Section A, Foundations of crystallography Foundations of crystallography, 2002-09, Vol.58 (5), p.424-428 |
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| container_end_page | 428 |
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| container_issue | 5 |
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| container_title | Acta crystallographica. Section A, Foundations of crystallography |
| container_volume | 58 |
| creator | Mukhopadhyay, N. K. Lord, E. A. |
| description | The least path criterion or least path length in the context of redundant basis vector systems is discussed and a mathematical proof is presented of the uniqueness of indices obtained by applying the least path criterion. Though the method has greater generality, this paper concentrates on the two‐dimensional decagonal lattice. The order of redundancy is also discussed; this will help eventually to correlate with other redundant but desirable indexing sets. |
| doi_str_mv | 10.1107/S0108767302008747 |
| format | Article |
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The order of redundancy is also discussed; this will help eventually to correlate with other redundant but desirable indexing sets.</description><subject>Applied sciences</subject><subject>Condensed matter: structure, mechanical and thermal properties</subject><subject>decagonal quasilattice</subject><subject>Exact sciences and technology</subject><subject>indexing</subject><subject>least path criterion</subject><subject>Metals. Metallurgy</subject><subject>Physics</subject><subject>Quasicrystals</subject><subject>Semi-periodic solids</subject><subject>Single-crystal and powder diffraction</subject><subject>Structure of solids and liquids; crystallography</subject><subject>X-ray diffraction and scattering</subject><issn>0108-7673</issn><issn>1600-5724</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2002</creationdate><recordtype>article</recordtype><recordid>eNqFkE1v1DAQhi0EokvhB3BBuYDgEJixk9g5rrawfERQCRAfF8uxJ8U0m2ztRG3_PV52RQ8cevIrzfOMRy9jjxFeIoJ89RkQlKykAA4pFPIOW2AFkJeSF3fZYjfOd_Mj9iDG3wCAAuE-O0KONUcUC_azIROnbGumX5kNfqLgxyF73pyuXmTdGLJ58BczZX5wdOWHsxQyk02XY-78hoaYYNNnjqw5-5suZhN9b6bJW3rI7nWmj_To8B6zr29ef1m9zZtP63erZZPboiirvK2caF1bS4skSHSkCipMOt21JRihjENlUHGB1kCFIJxQiqxo27bmZUXimD3b792GMd0aJ73x0VLfm4HGOWrJgQuhyltBLlEpVe5A3IM2jDEG6vQ2-I0J1xpB75rX_zWfnCeH5XO7IXdjHKpOwNMDYKI1fRfMYH284YSq6kLWiVN77tL3dH37z3r5Y3l6AsCrpOZ71ceJrv6pJpzrJMhSf_u41u-_ywbWJ0J_EH8AV4apjQ</recordid><startdate>200209</startdate><enddate>200209</enddate><creator>Mukhopadhyay, N. 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A</addtitle><date>2002-09</date><risdate>2002</risdate><volume>58</volume><issue>5</issue><spage>424</spage><epage>428</epage><pages>424-428</pages><issn>0108-7673</issn><eissn>1600-5724</eissn><coden>ACACEQ</coden><abstract>The least path criterion or least path length in the context of redundant basis vector systems is discussed and a mathematical proof is presented of the uniqueness of indices obtained by applying the least path criterion. Though the method has greater generality, this paper concentrates on the two‐dimensional decagonal lattice. The order of redundancy is also discussed; this will help eventually to correlate with other redundant but desirable indexing sets.</abstract><cop>5 Abbey Square, Chester, Cheshire CH1 2HU, England</cop><pub>Munksgaard International Publishers</pub><pmid>12192113</pmid><doi>10.1107/S0108767302008747</doi><tpages>5</tpages></addata></record> |
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| ispartof | Acta crystallographica. Section A, Foundations of crystallography, 2002-09, Vol.58 (5), p.424-428 |
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| language | eng |
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| subjects | Applied sciences Condensed matter: structure, mechanical and thermal properties decagonal quasilattice Exact sciences and technology indexing least path criterion Metals. Metallurgy Physics Quasicrystals Semi-periodic solids Single-crystal and powder diffraction Structure of solids and liquids crystallography X-ray diffraction and scattering |
| title | Least path criterion (LPC) for unique indexing in a two-dimensional decagonal quasilattice |
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