Wulff-shape and density deviation
type: Item
instance of: scholarly article
title: Wulff-shape and density deviation
zbMATH Open document ID: 0951.52019
DOI: 10.1023/A:1005260824947
published in: Geometriae Dedicata
publication date: 2001-01-03T00:00:00Z
review text: The shape of ideal crystals and quasicrystals, called the Wulff-Shape, is usually explained via minimum energy principles. Another approach which leads to surprisingly good models of crystals and quasicrystals is via dense sphere packings and an appropriate density measure (parametrie density and density deviation). In this paper the author investigates the basic mathematical properties of these tools. For some other concepts of dense sphere packings he shows that they are less appropriate models for crystallography, which underlines the quality of parametric density and density deviation.
Mathematics Subject Classification ID: 52C17
Mathematics Subject Classification ID: 82D25
Mathematics Subject Classification ID: 05B40
Mathematics Subject Classification ID: 52C23
zbMATH DE Number: 1423182
zbMATH Keywords: lattice packings
zbMATH Keywords: crystals
zbMATH Keywords: quasicrystals
zbMATH Keywords: sphere packings
author: Uwe Schnell
reviewed by: Jörg M. Wills
MaRDI profile type: Publication
full work available at URL: a:1005260824947
OpenAlex ID: W30609077
description: scientific article; zbMATH DE number 1423182