A COMMENT ON RIVIERS MAXIMUM-ENTROPY METHOD OF STATISTICAL CRYSTALLOGRAPHY

Authors
Citation
Sn. Chiu, A COMMENT ON RIVIERS MAXIMUM-ENTROPY METHOD OF STATISTICAL CRYSTALLOGRAPHY, Journal of physics. A, mathematical and general, 28(3), 1995, pp. 607-615
Citations number
44
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
28
Issue
3
Year of publication
1995
Pages
607 - 615
Database
ISI
SICI code
0305-4470(1995)28:3<607:ACORMM>2.0.ZU;2-G
Abstract
In the literature, Rivier's maximum entropy method was used to 'prove' Lewis's law and a linear Aboav's law. In this paper we show that the functional forms of these two laws for a statistically equilibrated ce llular network, even if such a network really exists, cannot be derive d or proved by this method. For example, within the maximum entropy me thod, we demonstrate that a quadratic Aboav's or Lewis's law is as pro bable as a linear one.