Dense-packing crystal structures of physical tetrahedra
نویسندگان
چکیده
منابع مشابه
Dense-packing crystal structures of physical tetrahedra.
We present a method for discovering dense packings of general convex hard particles and apply it to study the dense packing behavior of a one-parameter family of particles with tetrahedral symmetry representing a deformation of the ideal mathematical tetrahedron into a less ideal, physical, tetrahedron and all the way to the sphere. Thus, we also connect the two well-studied problems of sphere ...
متن کاملA Dense Packing of Regular Tetrahedra
We construct a dense packing of regular tetrahedra, with packing density D > .7786157.
متن کاملMysteries in Packing Regular Tetrahedra
T he regular tetrahedron is the simplest Platonic solid. Nevertheless, in studying its packing properties, several renowned scholars have made mistakes, and many questions about it remain unsolved. Currently no one knows the density of its densest packings, the density of its densest translative packings, or the exact value of its congruent kissing number. In this paper we recount historical de...
متن کاملephedrine: crystal structures and packing analysis
Molecular Materials Centre, School of Chemical Engineering and Analytical Science, The University of Manchester, PO Box 88, Sackville Street, Manchester M60 1QD, England, Process Engineering Group, PR&D, AstraZeneca, Silk Road Business Park, Charter Way, Macclesfield, Cheshire SK10 2NA, England, and Preformulation and Biopharmaceutics, PAR&D, AstraZeneca, Silk Road Business Park, Charter Way, M...
متن کاملDense Crystalline Dimer Packings of Regular Tetrahedra
We present the densest known packing of regular tetrahedra with density φ = 4000 4671 = 0.856347 . . . . Like the recently discovered packings of Kallus et al. and Torquato–Jiao, our packing is crystalline with a unit cell of four tetrahedra forming two triangular dipyramids (dimer clusters). We show that our packing has maximal density within a three-parameter family of dimer packings. Numeric...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2011
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.83.036703