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Monoclinic sphere packings. II. Trivariant lattice complexes with mirror symmetry
Author(s) -
Sowa Heidrun
Publication year - 2018
Publication title -
acta crystallographica section a
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.742
H-Index - 83
ISSN - 2053-2733
DOI - 10.1107/s2053273318000475
Subject(s) - monoclinic crystal system , tetragonal crystal system , orthorhombic crystal system , homogeneous , lattice (music) , hexagonal crystal system , crystallography , condensed matter physics , hexagonal lattice , materials science , mirror symmetry , symmetry (geometry) , physics , geometry , crystal structure , chemistry , mathematics , quantum mechanics , statistical physics , antiferromagnetism , acoustics
All homogeneous sphere packings were derived that refer to the three trivariant monoclinic lattice complexes with mirror symmetry. In total, 29 types of sphere packings have been found. Only for three types is the maximal inherent symmetry of their sphere packings monoclinic whereas the inherent symmetry is orthorhombic for 13 types, tetragonal for eight types, hexagonal for four types and cubic for one type.