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The intersect distribution of the regular tetrahedron
Author(s) -
Ciccariello Salvino
Publication year - 2005
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889804028328
Subject(s) - tetrahedron , distribution (mathematics) , mathematics , chord (peer to peer) , algebraic number , simple (philosophy) , geometry , physics , mathematical analysis , computer science , distributed computing , philosophy , epistemology
A calculation of the intersect distribution of the regular tetrahedron is given throughout its full range of distances. This splits into five intervals where the closed algebraic expressions of the chord distribution are explicitly calculated. The resulting expressions are surprisingly simple within the three inner intervals and not particularly involved in the two outer ones. The implications of these expressions for the asymptotic behaviour of the scattering intensity are briefly discussed.