TY - JOUR
T1 - Space fullerenes
T2 - A computer search for new Frank-Kasper structures
AU - Sikirić, Mathieu Dutour
AU - Delgado-Friedrichs, Olaf
AU - Deza, Michel
PY - 2010/9/1
Y1 - 2010/9/1
N2 - A Frank-Kasper structure is a 3-periodic tiling of the Euclidean space E3by tetrahedra such that the vertex figure of any vertex belongs to four specified patterns with, respectively, 20, 24, 26 and 28 faces. Frank-Kasper structures occur in the crystallography of metallic alloys and clathrates. A new computer enumeration method has been devised for obtaining Frank-Kasper structures of up to 20 cells in a reduced fundamental domain. Here, the 84 obtained structures have been compared with the known 27 physical structures and the known special constructions by Frank-Kasper-Sullivan, Shoemaker-Shoemaker, Sadoc-Mosseri and Deza-Shtogrin.
AB - A Frank-Kasper structure is a 3-periodic tiling of the Euclidean space E3by tetrahedra such that the vertex figure of any vertex belongs to four specified patterns with, respectively, 20, 24, 26 and 28 faces. Frank-Kasper structures occur in the crystallography of metallic alloys and clathrates. A new computer enumeration method has been devised for obtaining Frank-Kasper structures of up to 20 cells in a reduced fundamental domain. Here, the 84 obtained structures have been compared with the known 27 physical structures and the known special constructions by Frank-Kasper-Sullivan, Shoemaker-Shoemaker, Sadoc-Mosseri and Deza-Shtogrin.
KW - Delaney symbols
KW - Frank-Kasper structures
KW - exhaustive enumeration
UR - http://www.scopus.com/inward/record.url?scp=77955891223&partnerID=8YFLogxK
U2 - 10.1107/S0108767310022932
DO - 10.1107/S0108767310022932
M3 - Article
SN - 0108-7673
VL - 66
SP - 602
EP - 615
JO - Acta Crystallographica Section A: Foundations of Crystallography
JF - Acta Crystallographica Section A: Foundations of Crystallography
IS - 5
ER -