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Coauthored by one of the creators of the most efficient space
packing solution, the Weaire-Phelan structure, The Pursuit of
Perfect Packing, Second Edition explores a problem of importance in
physics, mathematics, chemistry, biology, and engineering: the
packing of structures. Maintaining its mathematical core, this
edition continues and revises some of the stories from its
predecessor while adding several new examples and applications. The
book focuses on both scientific and everyday problems ranging from
atoms to honeycombs. It describes packing models, such as the
Kepler conjecture, Voronoi decomposition, and Delaunay
decomposition, as well as actual structure models, such as the
Kelvin cell and the Weaire-Phelan structure. The authors discuss
numerous historical aspects and provide biographical details on
influential contributors to the field, including emails from Thomas
Hales and Ken Brakke. With examples from physics, crystallography,
engineering, and biology, this accessible and whimsical book
touches on many aspects of packing objects. It will help you
understand components of packing and aid you in the quest for the
perfect packing solution.
The study of condensed matter using optical techniques, where
photons act as both probe and signal, has a long history. It is
only recently, however, that the extraction of surface and
interface information, with submonolayer resolution, has been shown
to be possible using optical techniques (where "optical" applies to
electromagnetic radiation in and around the visible region of the
spectrum). This book describes these "epioptic" techniques, which
have now been quite widely applied to semiconductor surfaces and
interfaces. Particular emphasis in the book is placed on recent
studies of submonolayer growth on well-characterised semiconductor
surfaces, many of which have arisen from CEC DGJGII ESPRIT Basic
Research Action No. 3177 "EPIOPTIC," and CEU DGIII ESPRIT Basic
Research Action No. 6878 "EASI." Techniques using other areas of
the spectrum such as the infra-red region (IR spectroscopy, in its
various surface configurations), and the x-ray region (surface
x-ray diffraction, x-ray standing wave), are omitted. The optical
techniques described use simple lamp or small laser sources and are
thus, in principle, easily accessible. Epioptic probes can provide
new information on solid-gas, solid-liquid and liquid-liquid
interfaces. They are particularly suited to growth monitoring.
Emerging process technologies for fabricating submicron and
nanoscale semiconductor devices and novel multilayer materials,
whether based on silicon or compound semiconductors, all require
extremely precise control of growth at surfaces. In situ,
non-destructive, real-time monitoring and characterisation of
surfaces under growth conditions is needed for further progress.
Both atomic scale resolution, and non-destructive characterisation
of buried structures, are required.
Ordinary foams such as the head of a glass of beer and more exotic ones such as solid metallic foams, raise many questions for the physicist and have attracted a substantial research community in recent years. The book describes the results of extensive experiments , computer simulations and theories in an authoritative yet formal style, making ample use of illustrations and photographs.
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