Chiral spiral cyclic twins. II. A two-parameter family of cyclic twins composed of discrete circle involute spirals
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F23%3A00578765" target="_blank" >RIV/68378271:_____/23:00578765 - isvavai.cz</a>
Result on the web
<a href="https://hdl.handle.net/11104/0347677" target="_blank" >https://hdl.handle.net/11104/0347677</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1107/S2053273323008276" target="_blank" >10.1107/S2053273323008276</a>
Alternative languages
Result language
angličtina
Original language name
Chiral spiral cyclic twins. II. A two-parameter family of cyclic twins composed of discrete circle involute spirals
Original language description
A mathematical toy model of chiral spiral cyclic twins is presented, describing a family of deterministically generated aperiodic point sets. Its individual members depend solely on a chosen pair of integer parameters, a modulus m and a multiplier μ. By means of their specific parameterization they comprise local features of both periodic and aperiodic crystals. In particular, chiral spiral cyclic twins are composed of discrete variants of continuous curves known as circle involutes, each discrete spiral being generated from an integer inclination sequence. The geometry of circle involutes does not only provide for a constant orthogonal separation distance between adjacent spiral branches but also yields an approximate delineation of the intrinsically periodic twin domains as well as a single aperiodic core domain interconnecting them.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10302 - Condensed matter physics (including formerly solid state physics, supercond.)
Result continuities
Project
<a href="/en/project/GA18-10438S" target="_blank" >GA18-10438S: Quantitative Structure Descriptors for Standard and Modulated Crystals: Crystal Structure Systematics, Interpretation, and Prediction</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Acta Crystallographica Section A-Foundation and Advances
ISSN
2053-2733
e-ISSN
2053-2733
Volume of the periodical
79
Issue of the periodical within the volume
6
Country of publishing house
GB - UNITED KINGDOM
Number of pages
17
Pages from-to
570-586
UT code for WoS article
001099529600008
EID of the result in the Scopus database
2-s2.0-85176327959