2D tiles in 3D superclusters

by Antony J. Bourdillon



Book Details

Language : English
Publication Date : 02/04/2010

Format : Softcover
Dimensions : 6x9
Page Count : 112
ISBN : 9781449083953

About the Book

Quasicrystalline material contained, for twenty five years, the most fundamental unsolved structural problem in condensed matter physics. 

Quasicrystals’ 2D tiles in 3D superclusters compiles further illustrations of the solution proposed in Quasicrystals - and quasi drivers.   “This is new…and interesting.”  Reviews scatter widely as is expected for novel theories.  The structural driving force is the icosahedral subcluster.  Agglomerations ‘rapidly solidify’ into clusters and superclusters.  The icosahedra share edges that outline 2D tiles.  The tiles close the surface of a regular dodecahedron.  In 3D, the tiles become pseudo space filling.  The superclusters are supertiles that ‘stretch’ and ‘force the border’.  As in the diffraction pattern, the periodicity on the superclusters is ‘logarithmic.’  In this geometry, the tiles, clusters and superclusters are uniquely oriented.  New physical effects became apparent from the simulation of diffraction patterns: Angular Filtering that is responsible for the sharp diffraction; a Compromise Spacing Effect that determines dimensions; Logarithmically Periodic electronic band structures and dispersion curves, etc.

Quasi science?  Referees who can’t answer rebuttals are zero, hence this book.  The internet is free…

About the Author

Antony Bourdillon M.A., D.Phil. (Oxon) Ph.D. (Cantab) took his degrees, at the Clarendon Laboratory, University of Oxford.  He did post doctoral work at the Cavendish Laboratory, Cambridge University before joining its Department of Materials Science & Metallurgy as permanent faculty.  Subsequently, he was Director of the Electron Microscope Unit at the University of New South Wales and then Professor at the State University of New York.  In Singapore he became Professor in Physics; Professor in Materials Science; Principal Fellow at the Institute of Materials Research and Engineering; and proposer, builder and Director of the Singapore Synchrotron Light Source.  Subsequently, he founded UhrlMasc Inc. and was champion of an X-ray Lithography Consortium.  He has published 5 monographs and 200 journal articles.